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+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/cup_004/config.json b/dataset/toys4k/superquadric/cup_004/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..b74f564405d2952a224f085007dd2e647426fa4d
--- /dev/null
+++ b/dataset/toys4k/superquadric/cup_004/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01451643994826332,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/cup_052/config.json b/dataset/toys4k/superquadric/cup_052/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..c93b8ccfb61ed240a9447989c48f5e2328464479
--- /dev/null
+++ b/dataset/toys4k/superquadric/cup_052/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02066683477424096,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/cup_057/config.json b/dataset/toys4k/superquadric/cup_057/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0d6008b0d11a337aee2e45a2b323c988820532bf
--- /dev/null
+++ b/dataset/toys4k/superquadric/cup_057/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014519971313087124,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/cupcake_003/config.json b/dataset/toys4k/superquadric/cupcake_003/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..29c487ab3fefa1e29a558466cda984b48bb84b8e
--- /dev/null
+++ b/dataset/toys4k/superquadric/cupcake_003/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.010475478438953328,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/deer_moose_017/config.json b/dataset/toys4k/superquadric/deer_moose_017/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..d3c46468c3a7f2fd7b3460f1ad5dc65487b91a0f
--- /dev/null
+++ b/dataset/toys4k/superquadric/deer_moose_017/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01874679159007296,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/deer_moose_021/config.json b/dataset/toys4k/superquadric/deer_moose_021/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..f86080ecf1e78412a9b878224098f66ab773bc4b
--- /dev/null
+++ b/dataset/toys4k/superquadric/deer_moose_021/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.00883292667614138,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/deer_moose_028/config.json b/dataset/toys4k/superquadric/deer_moose_028/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..fd7ba7b43deb624d1ea3c349f7a8b989d548da30
--- /dev/null
+++ b/dataset/toys4k/superquadric/deer_moose_028/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01963985307114071,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/deer_moose_032/config.json b/dataset/toys4k/superquadric/deer_moose_032/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..685cf39505c7a80dcf52e0fe536a3163708dc6e2
--- /dev/null
+++ b/dataset/toys4k/superquadric/deer_moose_032/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01554095336644093,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/deer_moose_035/config.json b/dataset/toys4k/superquadric/deer_moose_035/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..521c995db1616f93fa8d8b615783e74cf9245828
--- /dev/null
+++ b/dataset/toys4k/superquadric/deer_moose_035/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013718003699009468,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/deer_moose_039/config.json b/dataset/toys4k/superquadric/deer_moose_039/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e01768e89396a6b2eb67e1a667c4eccfaf79696d
--- /dev/null
+++ b/dataset/toys4k/superquadric/deer_moose_039/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01726424391834015,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/deer_moose_042/config.json b/dataset/toys4k/superquadric/deer_moose_042/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..dd5c0b159a720092d778f7b0e1ef2ed267610313
--- /dev/null
+++ b/dataset/toys4k/superquadric/deer_moose_042/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01371206276453778,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/deer_moose_049/config.json b/dataset/toys4k/superquadric/deer_moose_049/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..836f89fc104f8747cbc92a948cebcc5dd55377c4
--- /dev/null
+++ b/dataset/toys4k/superquadric/deer_moose_049/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.022017105024059104,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/deer_moose_051/config.json b/dataset/toys4k/superquadric/deer_moose_051/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e9a73be32b6aed26ff986fc092caf23834623a77
--- /dev/null
+++ b/dataset/toys4k/superquadric/deer_moose_051/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.026126080827442794,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/deer_moose_058/config.json b/dataset/toys4k/superquadric/deer_moose_058/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0c241df0c5b86381d2b1bc6d397d8dec4d510f61
--- /dev/null
+++ b/dataset/toys4k/superquadric/deer_moose_058/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015909014717449523,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/dinosaur_005/config.json b/dataset/toys4k/superquadric/dinosaur_005/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..6610d8c50b5c2fc2e721a43cb43982c221095baa
--- /dev/null
+++ b/dataset/toys4k/superquadric/dinosaur_005/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016385745154320234,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
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--- /dev/null
+++ b/dataset/toys4k/superquadric/fan_005/config.json
@@ -0,0 +1,92 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.034641016151377546,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fan_006/config.json b/dataset/toys4k/superquadric/fan_006/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..667afe5b8c7f5fe0dd25c829d447550af4bc1c43
--- /dev/null
+++ b/dataset/toys4k/superquadric/fan_006/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014387933011232498,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fan_008/config.json b/dataset/toys4k/superquadric/fan_008/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..32100bda47ddb3b9acdf0d906a9be2b5474b76b3
--- /dev/null
+++ b/dataset/toys4k/superquadric/fan_008/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01226660238168356,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fan_009/config.json b/dataset/toys4k/superquadric/fan_009/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..b98fa0a84ad4510982a754d544e19a38ac1cc2cf
--- /dev/null
+++ b/dataset/toys4k/superquadric/fan_009/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016319929666736125,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fan_010/config.json b/dataset/toys4k/superquadric/fan_010/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..29a07c4116086da98750dbd1fa09819edc50dba7
--- /dev/null
+++ b/dataset/toys4k/superquadric/fan_010/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.0188530165865694,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fan_012/config.json b/dataset/toys4k/superquadric/fan_012/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..6869ab0cdf789dd4c7e0cecaf30cef9f4d147a98
--- /dev/null
+++ b/dataset/toys4k/superquadric/fan_012/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01646825849028603,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fan_015/config.json b/dataset/toys4k/superquadric/fan_015/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..970b0bd634b9bfe4f15afee0ceb7d3e9a34c2e93
--- /dev/null
+++ b/dataset/toys4k/superquadric/fan_015/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02511107722569819,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 0.2,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 0.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.0002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 1e-08,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fan_017/config.json b/dataset/toys4k/superquadric/fan_017/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..020f1853cd38a1abc36032bda493190f9115708b
--- /dev/null
+++ b/dataset/toys4k/superquadric/fan_017/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012719365751089777,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fan_024/config.json b/dataset/toys4k/superquadric/fan_024/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..ba679ca32b081f456ff34cdc558b2ccd31908c44
--- /dev/null
+++ b/dataset/toys4k/superquadric/fan_024/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01485821057667682,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fan_025/config.json b/dataset/toys4k/superquadric/fan_025/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..46841a7456135051397863b2716a633801eaf333
--- /dev/null
+++ b/dataset/toys4k/superquadric/fan_025/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02320982440065423,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fan_028/config.json b/dataset/toys4k/superquadric/fan_028/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..1b378ca4b82b226e1446a9a9d8ff7309ed2ebd2a
--- /dev/null
+++ b/dataset/toys4k/superquadric/fan_028/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.019665440901636612,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fan_029/config.json b/dataset/toys4k/superquadric/fan_029/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..2f0b2076334fc44e0171a5a77ec958bd9e6f6aee
--- /dev/null
+++ b/dataset/toys4k/superquadric/fan_029/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.006946650179022158,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fan_030/config.json b/dataset/toys4k/superquadric/fan_030/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e64e93877e0be7e844a85ed57a2816c8e347e300
--- /dev/null
+++ b/dataset/toys4k/superquadric/fan_030/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.023258438272759377,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fish_024/config.json b/dataset/toys4k/superquadric/fish_024/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e150f781219714f448fcabca103070a48cba96d7
--- /dev/null
+++ b/dataset/toys4k/superquadric/fish_024/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017189101865511168,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fish_029/config.json b/dataset/toys4k/superquadric/fish_029/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..aa10cace4c505054766aa97c8c7277434c07498a
--- /dev/null
+++ b/dataset/toys4k/superquadric/fish_029/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01458694867318088,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fish_031/config.json b/dataset/toys4k/superquadric/fish_031/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..87c4b6d6a2a905d7993f5b9cc7d3f46156dbba0c
--- /dev/null
+++ b/dataset/toys4k/superquadric/fish_031/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01834501881387101,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fish_036/config.json b/dataset/toys4k/superquadric/fish_036/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..ebce0dec091774c389603cdedeebe8a16be9737c
--- /dev/null
+++ b/dataset/toys4k/superquadric/fish_036/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.006371355356679652,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_000/config.json b/dataset/toys4k/superquadric/flower_000/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..b194453e3be1918a7feb9d6716499ab69a2034a9
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_000/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012053111458366237,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_002/config.json b/dataset/toys4k/superquadric/flower_002/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..6a52cf326a61458e9f5b3772ab030cb5c72d3497
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_002/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01304899080415885,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_003/config.json b/dataset/toys4k/superquadric/flower_003/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..3e535c3168383be5d10bbfe641e512546a7cd67d
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_003/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.020348785681613666,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_006/config.json b/dataset/toys4k/superquadric/flower_006/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..aa5ba09770a087e92d084f7a767303499c8366eb
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_006/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01218591941273731,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_007/config.json b/dataset/toys4k/superquadric/flower_007/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..7a0b7ac9c5f9ed198bab81050bcd1b4b93355496
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_007/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015924188916455716,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_008/config.json b/dataset/toys4k/superquadric/flower_008/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..404ff09df74a15ee4159b19a506c0e0bbe735786
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_008/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.030694175165865555,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_022/config.json b/dataset/toys4k/superquadric/flower_022/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..ba2dca17595c48b88fb6019ed8ee5b9f5984ed42
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_022/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.030590381209460896,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_024/config.json b/dataset/toys4k/superquadric/flower_024/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..5bdb107bfcebaccde4e43a8dd28d37ada04d2aff
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_024/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02118787097681155,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_027/config.json b/dataset/toys4k/superquadric/flower_027/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..d31a61c8888b17e63176171e3c339b6c977a8d1b
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_027/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015404413684795554,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_029/config.json b/dataset/toys4k/superquadric/flower_029/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..34452a6d8cea5ecfd25acc121849bbfade637df0
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_029/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012071268024747544,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_031/config.json b/dataset/toys4k/superquadric/flower_031/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..31259651610a9c72725340f0439b50e37e9c8cc2
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_031/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.008051842387027516,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_034/config.json b/dataset/toys4k/superquadric/flower_034/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..abb31ea6baf58ef0b95348a24e9e15d350a8e462
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_034/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02402374703215708,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_038/config.json b/dataset/toys4k/superquadric/flower_038/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..c4293983c153c589cd13e411584b44d701a842dd
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_038/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013383469190880258,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_041/config.json b/dataset/toys4k/superquadric/flower_041/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..c49e9ae22b7a916bc056f0384cdbca919ae5c73c
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_041/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.033999821895686906,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_042/config.json b/dataset/toys4k/superquadric/flower_042/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9720ef8d46cde25a2ebef23cbb8ddae96935b0a4
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_042/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.009015462315090145,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_046/config.json b/dataset/toys4k/superquadric/flower_046/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..42a365517feaca42b19194f97e103b22ef781900
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_046/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015384396809485817,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_050/config.json b/dataset/toys4k/superquadric/flower_050/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..d014fb80aaeac0593002258f95ebd9628980cbad
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_050/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013486234186897626,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/flower_053/config.json b/dataset/toys4k/superquadric/flower_053/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..7d319eb7a0f407d7af69d73dbec55a9e5f0e41b5
--- /dev/null
+++ b/dataset/toys4k/superquadric/flower_053/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013738054141413589,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_001/config.json b/dataset/toys4k/superquadric/fox_001/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..8ce92d07a5bc93ad8eecbd8e590bc4846e97c872
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_001/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016659419133539424,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_004/config.json b/dataset/toys4k/superquadric/fox_004/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..cf511eea95449e985d18bb3cb80f77bef9e8ef69
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_004/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.033115263131987614,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_006/config.json b/dataset/toys4k/superquadric/fox_006/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..85f9c7926f4a0cac1d366e797711065b578d54cb
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_006/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.03433592863446002,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_012/config.json b/dataset/toys4k/superquadric/fox_012/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..79b8a01ad3363b6ca41618005dccce0c2186fa87
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_012/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017230089374303596,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_013/config.json b/dataset/toys4k/superquadric/fox_013/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..c77b74587927a68b975e594a3a72f031de5388e3
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_013/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015702468151707154,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_019/config.json b/dataset/toys4k/superquadric/fox_019/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0f3220b03f5ad0bcce516997e5e06ac7a8f5fc6d
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_019/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.020172808285140596,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_029/config.json b/dataset/toys4k/superquadric/fox_029/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..1d1afbae16755186538143d537e686f0b2d709d4
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_029/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014916979216684341,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 0.2,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 0.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.0002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 1e-08,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_034/config.json b/dataset/toys4k/superquadric/fox_034/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..807e09c766b64fa36c43f583ed3e9e79796c6af1
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_034/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013314325117942213,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_043/config.json b/dataset/toys4k/superquadric/fox_043/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e0fe356fd6f225813a9cb7b38e640a6c5b1a837d
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_043/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016718238718364916,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_050/config.json b/dataset/toys4k/superquadric/fox_050/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..92f9bbe3322497e61c03994ab0864703a222bd6f
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_050/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02169774104683941,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_052/config.json b/dataset/toys4k/superquadric/fox_052/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..1ea510f83e4dd319a591a88f7a444938d534c9ef
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_052/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.011609840629657715,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_054/config.json b/dataset/toys4k/superquadric/fox_054/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..f6bda0c5f53f0caa32334c034de6bc1e02a3270b
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_054/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.010051519071112392,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_055/config.json b/dataset/toys4k/superquadric/fox_055/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e3b368bcfd2e75d973c01826ca85ee17bca42c47
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_055/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01782954107642427,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_062/config.json b/dataset/toys4k/superquadric/fox_062/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..119e3895d4fd611f6346096c66d80da0c306e8a8
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_062/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.019830179055649492,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fox_063/config.json b/dataset/toys4k/superquadric/fox_063/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..63d686ce823e2ce09179f644f3300d2629739c6a
--- /dev/null
+++ b/dataset/toys4k/superquadric/fox_063/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01611746977412544,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fridge_002/config.json b/dataset/toys4k/superquadric/fridge_002/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..4e022e84969e5d8089c3864687b02147eba1e922
--- /dev/null
+++ b/dataset/toys4k/superquadric/fridge_002/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017490615151972984,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/fridge_011/config.json b/dataset/toys4k/superquadric/fridge_011/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0a171ee04da74b1ca631f4d2ff0d4232c2c31808
--- /dev/null
+++ b/dataset/toys4k/superquadric/fridge_011/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018140970814965317,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_000/config.json b/dataset/toys4k/superquadric/frog_000/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..aa59b6057174c3424c0bbda235d410425361df75
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_000/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015615564566741567,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_001/config.json b/dataset/toys4k/superquadric/frog_001/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..3613f7c2f8a1f5d79bf30d2f3bfa73e514ca8c00
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_001/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013913798645753128,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_003/config.json b/dataset/toys4k/superquadric/frog_003/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..f26570acbc157f353451bbff94236504e1cc8d55
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_003/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017754286496707697,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_006/config.json b/dataset/toys4k/superquadric/frog_006/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..745410d43e7d8c5c442579a17c460417e2e6469c
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_006/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012533941550217975,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_007/config.json b/dataset/toys4k/superquadric/frog_007/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9c91a4e206ec26ea7d3603b0a8961c54a5cbaded
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_007/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01120374795066008,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_010/config.json b/dataset/toys4k/superquadric/frog_010/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..6449797b9f9cc9141a5dea6587e5c3f410e7de28
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_010/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.019988269902203384,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_012/config.json b/dataset/toys4k/superquadric/frog_012/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..8fc089664bd7a93d656eb88eee5517b53e03edaf
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_012/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.03388297697036061,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_014/config.json b/dataset/toys4k/superquadric/frog_014/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..3cb59105b85a6ec4770e7c1d1524e561af73a977
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_014/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014563917463661903,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_018/config.json b/dataset/toys4k/superquadric/frog_018/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0a0241f8945dddc28357320542160afd0b11c372
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_018/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.034641016151377546,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_019/config.json b/dataset/toys4k/superquadric/frog_019/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..24b4464cbb372ff010dfd8266469df6b650caa94
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_019/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01977532519142106,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_021/config.json b/dataset/toys4k/superquadric/frog_021/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..5bd19d68a28d203c128a2cdd5d00f0c359230b4b
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_021/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013534677159058742,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_024/config.json b/dataset/toys4k/superquadric/frog_024/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..a7a997f8eb6dff3fa9496a785e716b9397e12155
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_024/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.019104325379207695,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_026/config.json b/dataset/toys4k/superquadric/frog_026/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..dbbfd1306dc0209b64a4861d17e80e96658f327a
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_026/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01719225849064782,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_027/config.json b/dataset/toys4k/superquadric/frog_027/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..6b5909bacf17d8f49e31ed77b69d5000abff6d60
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_027/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.021397559022970938,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_031/config.json b/dataset/toys4k/superquadric/frog_031/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..42f7f915a3f89bcd683ec08ecf32928f4ab6618e
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_031/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012931596015799598,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/frog_034/config.json b/dataset/toys4k/superquadric/frog_034/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..f980df09b0ff66f51a949769d791648ef6c2a4c3
--- /dev/null
+++ b/dataset/toys4k/superquadric/frog_034/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.03175552421780573,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/giraffe_005/config.json b/dataset/toys4k/superquadric/giraffe_005/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..a9b9a6f2998817a10e6137ae9f63f83ccbac5948
--- /dev/null
+++ b/dataset/toys4k/superquadric/giraffe_005/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01888888414898842,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/giraffe_007/config.json b/dataset/toys4k/superquadric/giraffe_007/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..cd31ea430ac5e32b124deb552dcc6ce58b3678f0
--- /dev/null
+++ b/dataset/toys4k/superquadric/giraffe_007/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013441250624980491,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/glass_012/config.json b/dataset/toys4k/superquadric/glass_012/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..1edac8072f4bf2fc971300c98a9ba56888e5571f
--- /dev/null
+++ b/dataset/toys4k/superquadric/glass_012/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017171393682097382,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/glass_024/config.json b/dataset/toys4k/superquadric/glass_024/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..f096ae4872e7f5a2f167c509240e9b90eb85daf7
--- /dev/null
+++ b/dataset/toys4k/superquadric/glass_024/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.020434052715400594,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/glass_039/config.json b/dataset/toys4k/superquadric/glass_039/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..8392d5be28ac37032c8728999195dfe117a00e3a
--- /dev/null
+++ b/dataset/toys4k/superquadric/glass_039/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.0179257840679931,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/glass_058/config.json b/dataset/toys4k/superquadric/glass_058/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..d9405c8be0bdf823ded665acb8eaffc7e97c7987
--- /dev/null
+++ b/dataset/toys4k/superquadric/glass_058/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017917851601095602,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/hammer_004/config.json b/dataset/toys4k/superquadric/hammer_004/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..6aea072d068bb745404c764b77c5fb4ac2b08a6a
--- /dev/null
+++ b/dataset/toys4k/superquadric/hammer_004/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02114541920837776,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/hat_016/config.json b/dataset/toys4k/superquadric/hat_016/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..cd7542125ffdb1f55e921d70da4f0cc876eb6999
--- /dev/null
+++ b/dataset/toys4k/superquadric/hat_016/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014585402777729656,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/hat_021/config.json b/dataset/toys4k/superquadric/hat_021/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0a0241f8945dddc28357320542160afd0b11c372
--- /dev/null
+++ b/dataset/toys4k/superquadric/hat_021/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.034641016151377546,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/hat_022/config.json b/dataset/toys4k/superquadric/hat_022/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..27d0bc885c101b3c44f360b7adaaf6d0bbc21249
--- /dev/null
+++ b/dataset/toys4k/superquadric/hat_022/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015509590061303627,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/hat_025/config.json b/dataset/toys4k/superquadric/hat_025/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..8e168a0bb7d90c665b1f1d864bdca8baea2ccebb
--- /dev/null
+++ b/dataset/toys4k/superquadric/hat_025/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.030371317741659087,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/hat_027/config.json b/dataset/toys4k/superquadric/hat_027/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0a0241f8945dddc28357320542160afd0b11c372
--- /dev/null
+++ b/dataset/toys4k/superquadric/hat_027/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.034641016151377546,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/hat_040/config.json b/dataset/toys4k/superquadric/hat_040/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..d117cf4bb364be8126af2375ae1dfe48aa18e620
--- /dev/null
+++ b/dataset/toys4k/superquadric/hat_040/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014002454116641052,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/hat_047/config.json b/dataset/toys4k/superquadric/hat_047/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0a0241f8945dddc28357320542160afd0b11c372
--- /dev/null
+++ b/dataset/toys4k/superquadric/hat_047/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.034641016151377546,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/hat_051/config.json b/dataset/toys4k/superquadric/hat_051/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..c3ccf679ab7a69f6d753d5d1fe08ee96291e86a7
--- /dev/null
+++ b/dataset/toys4k/superquadric/hat_051/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02450154036692586,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/hat_059/config.json b/dataset/toys4k/superquadric/hat_059/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..7a523c61c22452c00a9fa27e7d6e025cb6fdc54b
--- /dev/null
+++ b/dataset/toys4k/superquadric/hat_059/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015277821456745378,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/hat_063/config.json b/dataset/toys4k/superquadric/hat_063/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..3e7ee4e4f8b43c0fac02d9b6c8d54f4d27e0cd6a
--- /dev/null
+++ b/dataset/toys4k/superquadric/hat_063/config.json
@@ -0,0 +1,92 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.034641016151377546,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/helicopter_000/config.json b/dataset/toys4k/superquadric/helicopter_000/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..144dd304831eaebcc6eb74731552f265117a4839
--- /dev/null
+++ b/dataset/toys4k/superquadric/helicopter_000/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.011929900591593592,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 0.2,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 0.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.0002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 1e-08,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/helicopter_001/config.json b/dataset/toys4k/superquadric/helicopter_001/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..b39c566383614c8131908ac6a1c3e6ffd1acb16e
--- /dev/null
+++ b/dataset/toys4k/superquadric/helicopter_001/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02503389788345963,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/helicopter_004/config.json b/dataset/toys4k/superquadric/helicopter_004/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..2e3b9fc402ac054cae5342d29738600771e8a22d
--- /dev/null
+++ b/dataset/toys4k/superquadric/helicopter_004/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017107890102257443,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/helicopter_007/config.json b/dataset/toys4k/superquadric/helicopter_007/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..fcc4b78d26680475423ebba71b796677482911fb
--- /dev/null
+++ b/dataset/toys4k/superquadric/helicopter_007/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018204533338947525,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/helicopter_016/config.json b/dataset/toys4k/superquadric/helicopter_016/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e1ce9390cac48d76f1446ab59fb1c667f92cf1d5
--- /dev/null
+++ b/dataset/toys4k/superquadric/helicopter_016/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.0168513712965227,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/helicopter_017/config.json b/dataset/toys4k/superquadric/helicopter_017/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..00c1af07d678362b5f4006d37a84f359977156a8
--- /dev/null
+++ b/dataset/toys4k/superquadric/helicopter_017/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01702878660986311,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/helmet_006/config.json b/dataset/toys4k/superquadric/helmet_006/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..d40a9a4f707b0ee27be3ac3fc8bc726f7bba6bb1
--- /dev/null
+++ b/dataset/toys4k/superquadric/helmet_006/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.032493312063410655,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/helmet_007/config.json b/dataset/toys4k/superquadric/helmet_007/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..27266d0af3c464a27deef9965e4eb701ff8b8f83
--- /dev/null
+++ b/dataset/toys4k/superquadric/helmet_007/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013647618046383553,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/helmet_016/config.json b/dataset/toys4k/superquadric/helmet_016/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..ea78b3e8bdd529cd97f8049c77e8a60b6bc4e25b
--- /dev/null
+++ b/dataset/toys4k/superquadric/helmet_016/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015898676469033562,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/horse_006/config.json b/dataset/toys4k/superquadric/horse_006/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..a1e87e065da454bea8404aa0b871d69d8eced4e0
--- /dev/null
+++ b/dataset/toys4k/superquadric/horse_006/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018928371176790717,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 0.2,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 0.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.0002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 1e-08,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/horse_009/config.json b/dataset/toys4k/superquadric/horse_009/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..fc464a19442007ffa1f4de304b38d1811a78a8ec
--- /dev/null
+++ b/dataset/toys4k/superquadric/horse_009/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012454128282992895,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/horse_017/config.json b/dataset/toys4k/superquadric/horse_017/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..825b9c560c591b30d88f30069f1c08033e3f9fe8
--- /dev/null
+++ b/dataset/toys4k/superquadric/horse_017/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.011830478049479079,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/horse_031/config.json b/dataset/toys4k/superquadric/horse_031/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..4c831fd4d1dac9f5fe7f086eaca04abf9c6c8797
--- /dev/null
+++ b/dataset/toys4k/superquadric/horse_031/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015332383762517941,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/ice_cream_005/config.json b/dataset/toys4k/superquadric/ice_cream_005/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..01c960b36017088fb31600b026d8c529cc1f7862
--- /dev/null
+++ b/dataset/toys4k/superquadric/ice_cream_005/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014280313552650414,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/ice_cream_031/config.json b/dataset/toys4k/superquadric/ice_cream_031/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..7a4009a68773f6820a3f81ab7ab08bf08bf73248
--- /dev/null
+++ b/dataset/toys4k/superquadric/ice_cream_031/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01260427445765164,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/key_025/config.json b/dataset/toys4k/superquadric/key_025/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..64393191b6a0c8514a71c9b69312e1dd25ed87d0
--- /dev/null
+++ b/dataset/toys4k/superquadric/key_025/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.023463331496907623,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/keyboard_004/config.json b/dataset/toys4k/superquadric/keyboard_004/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..b7326bd25ce975a34550a63a34b4b521328f74c3
--- /dev/null
+++ b/dataset/toys4k/superquadric/keyboard_004/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016881717806430514,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/ladder_001/config.json b/dataset/toys4k/superquadric/ladder_001/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..8cb54a183f25c4133ae914a03ca62680fd4b9fe9
--- /dev/null
+++ b/dataset/toys4k/superquadric/ladder_001/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.019289489472092372,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/ladder_012/config.json b/dataset/toys4k/superquadric/ladder_012/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..2c31becd28e1ce3f97e2869b586a7e029eb9f4c1
--- /dev/null
+++ b/dataset/toys4k/superquadric/ladder_012/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014821613045615746,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/ladder_017/config.json b/dataset/toys4k/superquadric/ladder_017/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..69bf090a913dc69853ba5ed19fb35726ac35841d
--- /dev/null
+++ b/dataset/toys4k/superquadric/ladder_017/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.010405642761512485,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/ladder_025/config.json b/dataset/toys4k/superquadric/ladder_025/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..dccd2b01ac5a8a04d1a7f9c44394c03179c36643
--- /dev/null
+++ b/dataset/toys4k/superquadric/ladder_025/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01067409453191112,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/ladder_029/config.json b/dataset/toys4k/superquadric/ladder_029/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..93e772f7c79e6df07492fc64350854e41d18528c
--- /dev/null
+++ b/dataset/toys4k/superquadric/ladder_029/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013248219964322244,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/ladder_045/config.json b/dataset/toys4k/superquadric/ladder_045/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9bb6048851868b4e2e9963b36be61929e84e9194
--- /dev/null
+++ b/dataset/toys4k/superquadric/ladder_045/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.021048752236042714,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/ladder_055/config.json b/dataset/toys4k/superquadric/ladder_055/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..d5214931d13217c984b54d152405a4f1b352bf80
--- /dev/null
+++ b/dataset/toys4k/superquadric/ladder_055/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02664937508925805,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 0.2,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 0.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.0002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 1e-08,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/ladder_057/config.json b/dataset/toys4k/superquadric/ladder_057/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..29706ef338d91b4fdae0d065c87844391fa5e5b8
--- /dev/null
+++ b/dataset/toys4k/superquadric/ladder_057/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.03257116731352271,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/laptop_001/config.json b/dataset/toys4k/superquadric/laptop_001/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..b4b585782002760c4c7a2eb04a494d1cf2d007d3
--- /dev/null
+++ b/dataset/toys4k/superquadric/laptop_001/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.008175427373278376,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/laptop_008/config.json b/dataset/toys4k/superquadric/laptop_008/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0f549b0657fb384e3a1ce6305e738af9ced5173e
--- /dev/null
+++ b/dataset/toys4k/superquadric/laptop_008/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01784941957654973,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/laptop_018/config.json b/dataset/toys4k/superquadric/laptop_018/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..ff7afcb84ba691002f6218c7a7470a8d9867138c
--- /dev/null
+++ b/dataset/toys4k/superquadric/laptop_018/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014780951493497863,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/lion_000/config.json b/dataset/toys4k/superquadric/lion_000/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..49516c0bd19ec54443db83dd074d1ef9c654394f
--- /dev/null
+++ b/dataset/toys4k/superquadric/lion_000/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015966979300432085,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/lion_013/config.json b/dataset/toys4k/superquadric/lion_013/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..5c47b258d73890385d010318fe06e9ad70ce26eb
--- /dev/null
+++ b/dataset/toys4k/superquadric/lion_013/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014281716037048649,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/lizard_000/config.json b/dataset/toys4k/superquadric/lizard_000/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..35fd661b3f8e02fa48aaf04636a720b6d1cb4533
--- /dev/null
+++ b/dataset/toys4k/superquadric/lizard_000/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017469682313313955,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/lizard_002/config.json b/dataset/toys4k/superquadric/lizard_002/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..ad30a191ddf34343bd6762a122f5cfe589899622
--- /dev/null
+++ b/dataset/toys4k/superquadric/lizard_002/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.024576640402802434,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/lizard_004/config.json b/dataset/toys4k/superquadric/lizard_004/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..7bcda1e82364caa5f672a97192be6977819d5423
--- /dev/null
+++ b/dataset/toys4k/superquadric/lizard_004/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012191049254830291,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/lizard_006/config.json b/dataset/toys4k/superquadric/lizard_006/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..d60532c9359a87480042b6b9341f18fdc821fd2f
--- /dev/null
+++ b/dataset/toys4k/superquadric/lizard_006/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.03449930576683013,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/lizard_012/config.json b/dataset/toys4k/superquadric/lizard_012/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..b0d5880c829709bb58e7c62c2e302203dccd8c08
--- /dev/null
+++ b/dataset/toys4k/superquadric/lizard_012/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.009435722256766555,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/microwave_005/config.json b/dataset/toys4k/superquadric/microwave_005/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..57ed4a6de0c45df81d0f8f583f9b51e222856051
--- /dev/null
+++ b/dataset/toys4k/superquadric/microwave_005/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01434194871981134,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/microwave_017/config.json b/dataset/toys4k/superquadric/microwave_017/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..55267f57fd12988c5930f06ad70a524d27ff9c06
--- /dev/null
+++ b/dataset/toys4k/superquadric/microwave_017/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014687492122778202,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/monitor_018/config.json b/dataset/toys4k/superquadric/monitor_018/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0e4b87601cb7d99c99dfdfe9fa578049194a2058
--- /dev/null
+++ b/dataset/toys4k/superquadric/monitor_018/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.030734028670333514,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/monitor_027/config.json b/dataset/toys4k/superquadric/monitor_027/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..89d334e7133089ea3e1d42cf1e6ef09114c7b8bc
--- /dev/null
+++ b/dataset/toys4k/superquadric/monitor_027/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.011994958717340952,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/monitor_028/config.json b/dataset/toys4k/superquadric/monitor_028/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..1c1dffc6605017aecd2da3e68af8841b49ad2a75
--- /dev/null
+++ b/dataset/toys4k/superquadric/monitor_028/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.021032150702148665,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/monitor_029/config.json b/dataset/toys4k/superquadric/monitor_029/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..a2a7dbf64e33a79d558ad6dc5e3a3e3a55cb062d
--- /dev/null
+++ b/dataset/toys4k/superquadric/monitor_029/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.011263695527120584,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/monitor_054/config.json b/dataset/toys4k/superquadric/monitor_054/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..3e7ee4e4f8b43c0fac02d9b6c8d54f4d27e0cd6a
--- /dev/null
+++ b/dataset/toys4k/superquadric/monitor_054/config.json
@@ -0,0 +1,92 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.034641016151377546,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/monkey_000/config.json b/dataset/toys4k/superquadric/monkey_000/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0e97fbe47ba3b6656295639b53d1609761f11ef6
--- /dev/null
+++ b/dataset/toys4k/superquadric/monkey_000/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012602512312961759,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/monkey_001/config.json b/dataset/toys4k/superquadric/monkey_001/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..247348964c4352416c8ebf8786d60172e6509d32
--- /dev/null
+++ b/dataset/toys4k/superquadric/monkey_001/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01058048526956838,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/monkey_002/config.json b/dataset/toys4k/superquadric/monkey_002/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e8a989119b081b99687e33394ffea1797f3f2dc3
--- /dev/null
+++ b/dataset/toys4k/superquadric/monkey_002/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.019947536467327505,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/monkey_009/config.json b/dataset/toys4k/superquadric/monkey_009/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..ecd6ee384bbdf1ab2676a9478f9a00d60aa4c0b1
--- /dev/null
+++ b/dataset/toys4k/superquadric/monkey_009/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013514710030103528,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/monkey_014/config.json b/dataset/toys4k/superquadric/monkey_014/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..03691d1eb964b570ffaf13f78bdbbb1dd398a47f
--- /dev/null
+++ b/dataset/toys4k/superquadric/monkey_014/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015700355164058925,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/motorcycle_001/config.json b/dataset/toys4k/superquadric/motorcycle_001/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..1c107dd9084ae7b5a55d78b561dde32dace7d7a4
--- /dev/null
+++ b/dataset/toys4k/superquadric/motorcycle_001/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01423082847418327,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/mouse_001/config.json b/dataset/toys4k/superquadric/mouse_001/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..6677656f236a2a273d2927946dee84e175d8bac0
--- /dev/null
+++ b/dataset/toys4k/superquadric/mouse_001/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017926004945202734,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/mouse_003/config.json b/dataset/toys4k/superquadric/mouse_003/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..36e3407c0b6268473eff274564364eea112aed5d
--- /dev/null
+++ b/dataset/toys4k/superquadric/mouse_003/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.022564769953163578,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/mouse_013/config.json b/dataset/toys4k/superquadric/mouse_013/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..8c362e7aa989ea7df2d099e49f9bc6dbe8242c0a
--- /dev/null
+++ b/dataset/toys4k/superquadric/mouse_013/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015638100520785007,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/mouse_018/config.json b/dataset/toys4k/superquadric/mouse_018/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..68582569b46e547e02934580430723fcb6d30f54
--- /dev/null
+++ b/dataset/toys4k/superquadric/mouse_018/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01713957263957966,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/mug_044/config.json b/dataset/toys4k/superquadric/mug_044/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..7ffa3f16d94c4671157818c5d07505cfe08183ac
--- /dev/null
+++ b/dataset/toys4k/superquadric/mug_044/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.011660232855102396,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/mug_066/config.json b/dataset/toys4k/superquadric/mug_066/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..8c56bc75f4264571a9a7d98a1a79dc243cb78e14
--- /dev/null
+++ b/dataset/toys4k/superquadric/mug_066/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018403609721239854,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/mushroom_002/config.json b/dataset/toys4k/superquadric/mushroom_002/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9735093345ff9fe325d3ab0e97e4f62e0ebea021
--- /dev/null
+++ b/dataset/toys4k/superquadric/mushroom_002/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014576141868064284,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/mushroom_009/config.json b/dataset/toys4k/superquadric/mushroom_009/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0ca29b3fff49adae3d30f86371953e6b151375cd
--- /dev/null
+++ b/dataset/toys4k/superquadric/mushroom_009/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013566128871519941,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/mushroom_012/config.json b/dataset/toys4k/superquadric/mushroom_012/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..eccfac373974880f9dcb7076a2d2983d84a827e1
--- /dev/null
+++ b/dataset/toys4k/superquadric/mushroom_012/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.022218814810813805,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_001/config.json b/dataset/toys4k/superquadric/octopus_001/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..8a955e64291677b40ec58acfe95fea5a74160df9
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_001/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014641312426472463,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_002/config.json b/dataset/toys4k/superquadric/octopus_002/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..660a7adc34abfc0fdd418ec3a033a814a7bd51d0
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_002/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.011989472593877809,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_003/config.json b/dataset/toys4k/superquadric/octopus_003/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..c225818610f6395763800d1118cd70add4302537
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_003/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.0136684380120478,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_007/config.json b/dataset/toys4k/superquadric/octopus_007/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..5a2f1e4bdde80b7e9b7f5e7a801706f5fcc67f12
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_007/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.005878720643371099,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_008/config.json b/dataset/toys4k/superquadric/octopus_008/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..c7b11b78185471a843f780fb68d3efc867d22802
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_008/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.0343261976880469,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_010/config.json b/dataset/toys4k/superquadric/octopus_010/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..09b648ee4cbfaf13b6d85d015f49657e0078b7c6
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_010/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.021971613821968074,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_012/config.json b/dataset/toys4k/superquadric/octopus_012/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e97a23c0961f2c314842a6e5894afd9f7284e0e3
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_012/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014973476169202776,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_013/config.json b/dataset/toys4k/superquadric/octopus_013/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9658a8ae4d118d6e41bc6b42c531a1b8c17b7099
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_013/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.021129526720407972,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_016/config.json b/dataset/toys4k/superquadric/octopus_016/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..f66418d4d40dce5d2ab0375783eeb9da328effe4
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_016/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01524934201042257,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_018/config.json b/dataset/toys4k/superquadric/octopus_018/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..d305d2a399aa6b729a15797abd6f16241bffc39e
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_018/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01382475149520298,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 0.2,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 0.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.0002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 1e-08,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_019/config.json b/dataset/toys4k/superquadric/octopus_019/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..7e34750d68acebc24ce898c3d05c5504808c7ba4
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_019/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018246710474080344,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_024/config.json b/dataset/toys4k/superquadric/octopus_024/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9eae3f1484f7d6e28b7385693904c0160f88dd66
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_024/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.025285515106148928,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 0.2,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 0.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.0002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 1e-08,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_025/config.json b/dataset/toys4k/superquadric/octopus_025/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..32d97f4a9bafed2877a3fbd1e205cf43741af6fc
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_025/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.020294429462247316,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_026/config.json b/dataset/toys4k/superquadric/octopus_026/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..bc78a6de2711caf61ccc2523b8a74e18232290ea
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_026/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018945765460789927,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_027/config.json b/dataset/toys4k/superquadric/octopus_027/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..411ad91b44cf01d6341e078dd887e94ead619647
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_027/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017006725348792447,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_028/config.json b/dataset/toys4k/superquadric/octopus_028/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..36382892e56e84a939aab74553f63f5821a9c1fa
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_028/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.00863549765105259,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_029/config.json b/dataset/toys4k/superquadric/octopus_029/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..33d2cd443a4524384d875d3d876d9fe389d2523c
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_029/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017912663639561392,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/octopus_030/config.json b/dataset/toys4k/superquadric/octopus_030/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..394c3a6ce0aa75f9ae18bdfc8f2e28c5f46bbc82
--- /dev/null
+++ b/dataset/toys4k/superquadric/octopus_030/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01644522052446885,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/orange_002/config.json b/dataset/toys4k/superquadric/orange_002/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..b55e98760937fa174f2454d66d9769c66c4792a1
--- /dev/null
+++ b/dataset/toys4k/superquadric/orange_002/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02432204066266017,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/orange_014/config.json b/dataset/toys4k/superquadric/orange_014/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..b670bcff0cde78a521408b6ba2a64f437b82e2de
--- /dev/null
+++ b/dataset/toys4k/superquadric/orange_014/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018729444156822077,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/orange_019/config.json b/dataset/toys4k/superquadric/orange_019/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..d293be83717c6162f0b73b37c03eb63d038d60a2
--- /dev/null
+++ b/dataset/toys4k/superquadric/orange_019/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014228609568954753,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/panda_003/config.json b/dataset/toys4k/superquadric/panda_003/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9bb2efe69438f444eb938fe9b4c580b633c2daa1
--- /dev/null
+++ b/dataset/toys4k/superquadric/panda_003/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.03450666404211243,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/panda_010/config.json b/dataset/toys4k/superquadric/panda_010/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..487d89a7833926e0a993fedc5bd9892fb1fc8426
--- /dev/null
+++ b/dataset/toys4k/superquadric/panda_010/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016006928337256178,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/panda_016/config.json b/dataset/toys4k/superquadric/panda_016/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..35ad294ae4ed4b7afef20d7f4250136962d6a22a
--- /dev/null
+++ b/dataset/toys4k/superquadric/panda_016/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01636932262920369,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/panda_019/config.json b/dataset/toys4k/superquadric/panda_019/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..39cc3f57f4517f3a1ce75347af71fd6968013151
--- /dev/null
+++ b/dataset/toys4k/superquadric/panda_019/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.007852670221406764,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/pc_mouse_014/config.json b/dataset/toys4k/superquadric/pc_mouse_014/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..1f1223f675365684caec345391029e734d3f7406
--- /dev/null
+++ b/dataset/toys4k/superquadric/pc_mouse_014/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01622475581242135,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/pear_012/config.json b/dataset/toys4k/superquadric/pear_012/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..64d707bdde6174d53f218ea46ae70555e7c83f2c
--- /dev/null
+++ b/dataset/toys4k/superquadric/pear_012/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.009753787768206772,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/penguin_006/config.json b/dataset/toys4k/superquadric/penguin_006/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9f5933f141d2c509cd6349aa759b223103f10c0c
--- /dev/null
+++ b/dataset/toys4k/superquadric/penguin_006/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.006881978139115854,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/penguin_010/config.json b/dataset/toys4k/superquadric/penguin_010/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..3e7ee4e4f8b43c0fac02d9b6c8d54f4d27e0cd6a
--- /dev/null
+++ b/dataset/toys4k/superquadric/penguin_010/config.json
@@ -0,0 +1,92 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.034641016151377546,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/penguin_016/config.json b/dataset/toys4k/superquadric/penguin_016/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..f3b6d59e9ed807532732535fc5ccb91cbb7f47af
--- /dev/null
+++ b/dataset/toys4k/superquadric/penguin_016/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.022099362953677357,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 0.2,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 0.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.0002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 1e-08,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/penguin_021/config.json b/dataset/toys4k/superquadric/penguin_021/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..2b31e71f18094e4f1a80b9b2c0053953dd01a3d5
--- /dev/null
+++ b/dataset/toys4k/superquadric/penguin_021/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.009667815078350447,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/penguin_040/config.json b/dataset/toys4k/superquadric/penguin_040/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..299ec443136a984d0cd013cba0e4b5f46bf89c3b
--- /dev/null
+++ b/dataset/toys4k/superquadric/penguin_040/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02121328474258589,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/penguin_051/config.json b/dataset/toys4k/superquadric/penguin_051/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..510a05c7b40490c2c9f7706590e2b4a59dac2db0
--- /dev/null
+++ b/dataset/toys4k/superquadric/penguin_051/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01563459832011703,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/penguin_052/config.json b/dataset/toys4k/superquadric/penguin_052/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..a1f9922f10dfd5a6ad5f4657b15c8490339331a8
--- /dev/null
+++ b/dataset/toys4k/superquadric/penguin_052/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02085799389390425,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/phone_003/config.json b/dataset/toys4k/superquadric/phone_003/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e6c18b4fb9b350de5bb76251c99f278c61b3ba46
--- /dev/null
+++ b/dataset/toys4k/superquadric/phone_003/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01441118173132394,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/phone_016/config.json b/dataset/toys4k/superquadric/phone_016/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..4e3b7f7f010c69ef199ed0f8c3b1ac416bc28521
--- /dev/null
+++ b/dataset/toys4k/superquadric/phone_016/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01131228286820431,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/phone_017/config.json b/dataset/toys4k/superquadric/phone_017/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..6d2897c95120d543c686f13b7ea6ca8ad668fb7c
--- /dev/null
+++ b/dataset/toys4k/superquadric/phone_017/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.022504104397024736,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/phone_018/config.json b/dataset/toys4k/superquadric/phone_018/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..1fd0286fd70edae03ea87779115c61f7600d6c66
--- /dev/null
+++ b/dataset/toys4k/superquadric/phone_018/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012932200796922064,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/phone_022/config.json b/dataset/toys4k/superquadric/phone_022/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..347978a9a2396263f7b1d46b459264aa83a7bc45
--- /dev/null
+++ b/dataset/toys4k/superquadric/phone_022/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016842560368575656,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/piano_008/config.json b/dataset/toys4k/superquadric/piano_008/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e652cdc4774f11683efadb60066d59f83d9d3ec5
--- /dev/null
+++ b/dataset/toys4k/superquadric/piano_008/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014979328608475295,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/piano_011/config.json b/dataset/toys4k/superquadric/piano_011/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..8a6a6caf0738d95e99a0753a3eec955363d0b6e2
--- /dev/null
+++ b/dataset/toys4k/superquadric/piano_011/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013281616079201211,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/piano_018/config.json b/dataset/toys4k/superquadric/piano_018/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..862b2907ba6ead9bc8a0837ec679f3d4fadbaac2
--- /dev/null
+++ b/dataset/toys4k/superquadric/piano_018/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.032225780781855985,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/piano_019/config.json b/dataset/toys4k/superquadric/piano_019/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..742b35b96b5bce5eabc5032352d6582a51bae7f8
--- /dev/null
+++ b/dataset/toys4k/superquadric/piano_019/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018625795441312352,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/piano_038/config.json b/dataset/toys4k/superquadric/piano_038/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..8d7ea7ae501bc288a227217e94aaf0b7d267f616
--- /dev/null
+++ b/dataset/toys4k/superquadric/piano_038/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01190873016898585,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/pig_006/config.json b/dataset/toys4k/superquadric/pig_006/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..020f1853cd38a1abc36032bda493190f9115708b
--- /dev/null
+++ b/dataset/toys4k/superquadric/pig_006/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012719365751089777,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/pig_010/config.json b/dataset/toys4k/superquadric/pig_010/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..2d671367eacf395524d72ee256372e0c82c59221
--- /dev/null
+++ b/dataset/toys4k/superquadric/pig_010/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.008392380676530215,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/pig_028/config.json b/dataset/toys4k/superquadric/pig_028/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..dd6189e1b4af73f2027b1ec4b173bbc578c977f3
--- /dev/null
+++ b/dataset/toys4k/superquadric/pig_028/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02333582098968967,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/pizza_017/config.json b/dataset/toys4k/superquadric/pizza_017/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9dac9964a64453b69871e1c80ad18eaa221e2cd4
--- /dev/null
+++ b/dataset/toys4k/superquadric/pizza_017/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016704022761342724,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/radio_000/config.json b/dataset/toys4k/superquadric/radio_000/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..4fd88018c6e42d9112ee51454cd3fa4db966b069
--- /dev/null
+++ b/dataset/toys4k/superquadric/radio_000/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.024958103756180735,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/radio_011/config.json b/dataset/toys4k/superquadric/radio_011/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..2df05e0059250a09f1845328fe053cd41a85e64c
--- /dev/null
+++ b/dataset/toys4k/superquadric/radio_011/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.033219820682132556,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/radio_012/config.json b/dataset/toys4k/superquadric/radio_012/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..212d5a7ad48948096f38606f59d54b20945e2c23
--- /dev/null
+++ b/dataset/toys4k/superquadric/radio_012/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.030201225567990948,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/radio_033/config.json b/dataset/toys4k/superquadric/radio_033/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..79ad442ba55e6987efaa311521529a99e600b87b
--- /dev/null
+++ b/dataset/toys4k/superquadric/radio_033/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01810552319252832,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_008/config.json b/dataset/toys4k/superquadric/robot_008/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..b02482d9a15d25f263e44b158c66d8e403faf577
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_008/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.010700151313465642,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_009/config.json b/dataset/toys4k/superquadric/robot_009/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..36f2a50827cc197093913ffd4ef67527ae158ce0
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_009/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014662514800439067,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_010/config.json b/dataset/toys4k/superquadric/robot_010/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..dc2f0c0ef1200489731a23ce0952bb230c942e97
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_010/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.020362212135095495,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_018/config.json b/dataset/toys4k/superquadric/robot_018/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..485d93b6c8eee2b45806ee7758ba5c0f08663e1d
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_018/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017671020430526374,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_021/config.json b/dataset/toys4k/superquadric/robot_021/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e5a95b3f69005742bc29bcc053c3a2b2d76a8e8b
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_021/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.020509673959855347,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_023/config.json b/dataset/toys4k/superquadric/robot_023/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9c5469bb132457348c916bd2ccca2580f47cb405
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_023/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.03381622408312708,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_026/config.json b/dataset/toys4k/superquadric/robot_026/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..a377a2c29d980718f11c1d9f47a78c31399b0ee9
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_026/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013099531071989759,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_029/config.json b/dataset/toys4k/superquadric/robot_029/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..abac9d2af3b33e01604233bc58816ae8d03a87d2
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_029/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017366830042878926,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_031/config.json b/dataset/toys4k/superquadric/robot_031/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..bd7a76cc044e0a9a4a6cf9bd61e3414129feacd2
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_031/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013631830672282538,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_036/config.json b/dataset/toys4k/superquadric/robot_036/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..6ed75a9d349ed32b486380731ae4fc23298ce4e2
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_036/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.025100172830578714,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_039/config.json b/dataset/toys4k/superquadric/robot_039/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..81ad4a95b8718b57d3e0f13628ea2d6936c9674a
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_039/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01758208750463496,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_042/config.json b/dataset/toys4k/superquadric/robot_042/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..332e5dfb118d1f02817f24f4ae17968c39f5a32c
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_042/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.019462504938622116,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_047/config.json b/dataset/toys4k/superquadric/robot_047/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..36dad9f7d4771426059abd5a7948b6f2bd7493a6
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_047/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016463568306012803,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_054/config.json b/dataset/toys4k/superquadric/robot_054/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..a9d7d788289098f9341295827370fdc24cddb4b5
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_054/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.009515985401874406,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_056/config.json b/dataset/toys4k/superquadric/robot_056/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..93017a209c3c645d4b717f81e2170f09f0fc3886
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_056/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.021822951161799192,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_059/config.json b/dataset/toys4k/superquadric/robot_059/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..7a6673a3f809f1feb96d40697ccf3d29f93a51a7
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_059/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.024496564294950594,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 0.2,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 0.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.0002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 1e-08,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_065/config.json b/dataset/toys4k/superquadric/robot_065/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..7de472cf2f23e12dd290026ea36431b5e871d5ca
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_065/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.0171875454299293,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_078/config.json b/dataset/toys4k/superquadric/robot_078/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9b6e1626e14bcac81cbee2d863240dbf39c9f01c
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_078/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016799578449429434,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_082/config.json b/dataset/toys4k/superquadric/robot_082/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..a741dd208f9a32a508ed9662b373c9adec93ffd2
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_082/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014296959793299667,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_083/config.json b/dataset/toys4k/superquadric/robot_083/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..5c1f0a256272f55cf85d4f427ab7f7440cbc3c11
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_083/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013226572365515091,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/robot_091/config.json b/dataset/toys4k/superquadric/robot_091/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..401571fb77cfc6be5726963d0ad6dc734b47a8ed
--- /dev/null
+++ b/dataset/toys4k/superquadric/robot_091/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015971727059456067,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sandwich_009/config.json b/dataset/toys4k/superquadric/sandwich_009/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..c22478c6bdc59354726c3b07a51eefca0d36e742
--- /dev/null
+++ b/dataset/toys4k/superquadric/sandwich_009/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018489991321698835,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/saw_009/config.json b/dataset/toys4k/superquadric/saw_009/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..511c5e111e32b17d5840846df22d2c3b3140e8da
--- /dev/null
+++ b/dataset/toys4k/superquadric/saw_009/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016189450363292533,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/saw_010/config.json b/dataset/toys4k/superquadric/saw_010/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..c37684ae3f43e8b9488506bcf2a875c1437c003f
--- /dev/null
+++ b/dataset/toys4k/superquadric/saw_010/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016136956974883376,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/saw_011/config.json b/dataset/toys4k/superquadric/saw_011/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..fe9fce722fce93f1dd288b0541197a3cfd508124
--- /dev/null
+++ b/dataset/toys4k/superquadric/saw_011/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013557366895133406,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/saw_013/config.json b/dataset/toys4k/superquadric/saw_013/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..35168e047afc74449a56137f03598482dea2938a
--- /dev/null
+++ b/dataset/toys4k/superquadric/saw_013/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.011860493042739634,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/shark_014/config.json b/dataset/toys4k/superquadric/shark_014/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..bdc1563ef2e49c4c880926f987301f77cd0417bc
--- /dev/null
+++ b/dataset/toys4k/superquadric/shark_014/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018237425184483732,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sheep_002/config.json b/dataset/toys4k/superquadric/sheep_002/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..4e1b5759f5443fcd4bdb5c6c21847affe1039b25
--- /dev/null
+++ b/dataset/toys4k/superquadric/sheep_002/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.019029385074024217,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sheep_003/config.json b/dataset/toys4k/superquadric/sheep_003/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..f2f7928bd59031bb4280b3ad2c903fb6805ba712
--- /dev/null
+++ b/dataset/toys4k/superquadric/sheep_003/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02070516982246209,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sheep_014/config.json b/dataset/toys4k/superquadric/sheep_014/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..5400bb57298b440eeb4c3852dd53ec7872140c59
--- /dev/null
+++ b/dataset/toys4k/superquadric/sheep_014/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.021629353082350172,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sheep_023/config.json b/dataset/toys4k/superquadric/sheep_023/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..a627e33db8f9cede0adf4031956852caeb5e80bf
--- /dev/null
+++ b/dataset/toys4k/superquadric/sheep_023/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013436010415784844,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sheep_027/config.json b/dataset/toys4k/superquadric/sheep_027/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..524ec69fcdc048562516cc7b1c4df36159e27d13
--- /dev/null
+++ b/dataset/toys4k/superquadric/sheep_027/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.003859894206075272,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sheep_034/config.json b/dataset/toys4k/superquadric/sheep_034/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..321b3324a2b2390de46ac29eb667affebacdf5c3
--- /dev/null
+++ b/dataset/toys4k/superquadric/sheep_034/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.019314885595907254,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/shoe_014/config.json b/dataset/toys4k/superquadric/shoe_014/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..70aea6e3e9cb17f62328afd285f057edccd6f01f
--- /dev/null
+++ b/dataset/toys4k/superquadric/shoe_014/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.010727864860990054,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/shoe_022/config.json b/dataset/toys4k/superquadric/shoe_022/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..b53f44d45a158c104d97bd26b80ddf5f5f6da24b
--- /dev/null
+++ b/dataset/toys4k/superquadric/shoe_022/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.008720233845379198,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/shoe_030/config.json b/dataset/toys4k/superquadric/shoe_030/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..2474d17225544117bc99572bcf41519fc3ed50c5
--- /dev/null
+++ b/dataset/toys4k/superquadric/shoe_030/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01577030802545507,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sink_002/config.json b/dataset/toys4k/superquadric/sink_002/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..a403d4bcd183334b127086e65dd5017beb16ff8a
--- /dev/null
+++ b/dataset/toys4k/superquadric/sink_002/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02506601543047466,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sink_006/config.json b/dataset/toys4k/superquadric/sink_006/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..32323f9c8b218fba79808d5a000534bf42437250
--- /dev/null
+++ b/dataset/toys4k/superquadric/sink_006/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.010321079286157104,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sink_008/config.json b/dataset/toys4k/superquadric/sink_008/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..a11732ccba43125f4c37417c4423b826ba6d0d1f
--- /dev/null
+++ b/dataset/toys4k/superquadric/sink_008/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01808167426105894,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sink_012/config.json b/dataset/toys4k/superquadric/sink_012/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..1af5ebedd54417d18cd4bd28e2b8770674471c9c
--- /dev/null
+++ b/dataset/toys4k/superquadric/sink_012/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.0069878044165761315,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 0.2,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 0.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.0002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 1e-08,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sink_013/config.json b/dataset/toys4k/superquadric/sink_013/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e37bbd1753e2e46976db51d479704a509d60cfa4
--- /dev/null
+++ b/dataset/toys4k/superquadric/sink_013/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.007037952715784504,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sink_014/config.json b/dataset/toys4k/superquadric/sink_014/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..dcbeaa9334021bd187cb45d14be70cd5efcc66e8
--- /dev/null
+++ b/dataset/toys4k/superquadric/sink_014/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013289887275823555,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sink_017/config.json b/dataset/toys4k/superquadric/sink_017/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..a653aafd61914e0d5093226e2215175d8e4fc127
--- /dev/null
+++ b/dataset/toys4k/superquadric/sink_017/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.007688256035582986,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sink_018/config.json b/dataset/toys4k/superquadric/sink_018/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e549e9cd0d46f5c4a8894115edb93e25525bdcd7
--- /dev/null
+++ b/dataset/toys4k/superquadric/sink_018/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012096577010626502,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_002/config.json b/dataset/toys4k/superquadric/snake_002/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..714fe2b21e8a9f284f909a6c380630642ba56a29
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_002/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01590938518927539,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_004/config.json b/dataset/toys4k/superquadric/snake_004/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e1a08e6b26e92389ab584f90bfc8d3abff5d5642
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_004/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.0236230581433493,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_005/config.json b/dataset/toys4k/superquadric/snake_005/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..168d954c08ae7909a0eafe1b63d625c465c57bc4
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_005/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.009537131523592242,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_006/config.json b/dataset/toys4k/superquadric/snake_006/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..37b4b6456dc5220001e2c70c9a4af122f4d00254
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_006/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013164139194007054,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_007/config.json b/dataset/toys4k/superquadric/snake_007/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0a0241f8945dddc28357320542160afd0b11c372
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_007/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.034641016151377546,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_008/config.json b/dataset/toys4k/superquadric/snake_008/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9d498cc3c782cb8ae4d6c7c8405262531b81382e
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_008/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016310261162628802,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_009/config.json b/dataset/toys4k/superquadric/snake_009/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..33896aeb6f268fddfea767c4cb308c52757b328e
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_009/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015217829962982467,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_011/config.json b/dataset/toys4k/superquadric/snake_011/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..6c29568dcc99b0cd66dcced066cd4be57e46a732
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_011/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02023601587460555,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_014/config.json b/dataset/toys4k/superquadric/snake_014/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..822db673ffefb5601472cd9dd6a0c428ec78cedd
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_014/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012857313980065394,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_015/config.json b/dataset/toys4k/superquadric/snake_015/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..532ad13ad0fa0e79352691a625b5f50f5a6734b8
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_015/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.019914011869566685,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_016/config.json b/dataset/toys4k/superquadric/snake_016/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9897e79cdb13c3e269cf60bddef95f445d65b862
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_016/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.02238622291649797,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_017/config.json b/dataset/toys4k/superquadric/snake_017/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9db2ba9ea6c1bf863fa0fdaf23e2af4a608ed6b0
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_017/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.008282192954163915,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_020/config.json b/dataset/toys4k/superquadric/snake_020/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..86e13ed8b0e1ad1f3714d5cb6fe6e81c62adf90c
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_020/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01831493962303037,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_023/config.json b/dataset/toys4k/superquadric/snake_023/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..e0256ab48384a172377673b8d6bfe6ce3e0aca5d
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_023/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.009569336397615775,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/snake_029/config.json b/dataset/toys4k/superquadric/snake_029/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..1bc406ee7feca6fdfc3d4b1f777d2adeb8b8eae6
--- /dev/null
+++ b/dataset/toys4k/superquadric/snake_029/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018728926386424753,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sofa_008/config.json b/dataset/toys4k/superquadric/sofa_008/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..d206d4dee7217b8a53240731d3a107740b396f96
--- /dev/null
+++ b/dataset/toys4k/superquadric/sofa_008/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.008043060993054943,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sofa_046/config.json b/dataset/toys4k/superquadric/sofa_046/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0097fad07eee5fd5aa53376a3b904c0c234bbbe4
--- /dev/null
+++ b/dataset/toys4k/superquadric/sofa_046/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018880080550126962,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/sofa_048/config.json b/dataset/toys4k/superquadric/sofa_048/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..64710f50cec0e415448f039c87335e71b9cf603d
--- /dev/null
+++ b/dataset/toys4k/superquadric/sofa_048/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.011810106183717814,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/stove_000/config.json b/dataset/toys4k/superquadric/stove_000/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..3a7b8d870dc129a7204c11d42aa2ba5e451b0bbd
--- /dev/null
+++ b/dataset/toys4k/superquadric/stove_000/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.0059589375650261605,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/stove_002/config.json b/dataset/toys4k/superquadric/stove_002/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..170e3b5759b5fe8c07ace48b9e59f83bfcdd7b6e
--- /dev/null
+++ b/dataset/toys4k/superquadric/stove_002/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01348483038395126,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/stove_005/config.json b/dataset/toys4k/superquadric/stove_005/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0a0241f8945dddc28357320542160afd0b11c372
--- /dev/null
+++ b/dataset/toys4k/superquadric/stove_005/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.034641016151377546,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/stove_015/config.json b/dataset/toys4k/superquadric/stove_015/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..843a8d325c530d284552e57a8bd91585a4e5dec5
--- /dev/null
+++ b/dataset/toys4k/superquadric/stove_015/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018241079378959812,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/stove_017/config.json b/dataset/toys4k/superquadric/stove_017/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..1c6f4f08b887393ff3d179e3980f320982d49d65
--- /dev/null
+++ b/dataset/toys4k/superquadric/stove_017/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014146431640572206,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/stove_019/config.json b/dataset/toys4k/superquadric/stove_019/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..72b836d04b826f4602ece6e1539c4d2209787ed2
--- /dev/null
+++ b/dataset/toys4k/superquadric/stove_019/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.0202485103606593,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/submarine_014/config.json b/dataset/toys4k/superquadric/submarine_014/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..1a2febccad73bb67d8b551bc5fa8ef03a74a4add
--- /dev/null
+++ b/dataset/toys4k/superquadric/submarine_014/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.014107852913789408,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/toaster_009/config.json b/dataset/toys4k/superquadric/toaster_009/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..dd16da04d1f5b8a8f1b2507f53f305d87ef1c71b
--- /dev/null
+++ b/dataset/toys4k/superquadric/toaster_009/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015571956982456914,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/tractor_005/config.json b/dataset/toys4k/superquadric/tractor_005/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..4fcc6e83beafa1808e35e7b21132f81caeddc318
--- /dev/null
+++ b/dataset/toys4k/superquadric/tractor_005/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013399918751404994,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/train_006/config.json b/dataset/toys4k/superquadric/train_006/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0a0241f8945dddc28357320542160afd0b11c372
--- /dev/null
+++ b/dataset/toys4k/superquadric/train_006/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.034641016151377546,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/trashcan_011/config.json b/dataset/toys4k/superquadric/trashcan_011/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0a0241f8945dddc28357320542160afd0b11c372
--- /dev/null
+++ b/dataset/toys4k/superquadric/trashcan_011/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.034641016151377546,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/tree_011/config.json b/dataset/toys4k/superquadric/tree_011/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..4081fd12602c74c76a14b744db8bfe8b6c485b46
--- /dev/null
+++ b/dataset/toys4k/superquadric/tree_011/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.013199342338407909,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/tree_019/config.json b/dataset/toys4k/superquadric/tree_019/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..d53facff37ef2558d1a990a08df5d543eb5f20a4
--- /dev/null
+++ b/dataset/toys4k/superquadric/tree_019/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01403044647953922,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/tree_026/config.json b/dataset/toys4k/superquadric/tree_026/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9fa2a4935164c6164df87468e64412d3df3dcab0
--- /dev/null
+++ b/dataset/toys4k/superquadric/tree_026/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012389663113125636,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 0.2,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 0.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.0002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 1e-08,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/tree_027/config.json b/dataset/toys4k/superquadric/tree_027/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..222a3651d7a379da219f560dfcacd237fd5ae87d
--- /dev/null
+++ b/dataset/toys4k/superquadric/tree_027/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015205932501032988,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/tree_032/config.json b/dataset/toys4k/superquadric/tree_032/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..a600f246e9856c96ccdf2ef21594e66b04a73080
--- /dev/null
+++ b/dataset/toys4k/superquadric/tree_032/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.009309070494906618,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/tree_033/config.json b/dataset/toys4k/superquadric/tree_033/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..2522adc564b6fa88df8027ddaae32a8556bcacac
--- /dev/null
+++ b/dataset/toys4k/superquadric/tree_033/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.016753259877972073,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/tree_039/config.json b/dataset/toys4k/superquadric/tree_039/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..0b1d4849b6ed8ffb27c582104bc6a75800276916
--- /dev/null
+++ b/dataset/toys4k/superquadric/tree_039/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017303992023926365,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/truck_018/config.json b/dataset/toys4k/superquadric/truck_018/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..f25f012825a2f4b6e0bac28fdbaabfbd1c1af521
--- /dev/null
+++ b/dataset/toys4k/superquadric/truck_018/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.024169717861499795,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/truck_022/config.json b/dataset/toys4k/superquadric/truck_022/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..32fca519f93cdb69b92fafd8a3a2c7d20bd22fa8
--- /dev/null
+++ b/dataset/toys4k/superquadric/truck_022/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01880999313666552,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/truck_028/config.json b/dataset/toys4k/superquadric/truck_028/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..3e7ee4e4f8b43c0fac02d9b6c8d54f4d27e0cd6a
--- /dev/null
+++ b/dataset/toys4k/superquadric/truck_028/config.json
@@ -0,0 +1,92 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.034641016151377546,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/tv_003/config.json b/dataset/toys4k/superquadric/tv_003/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..ef28b5bb2c46e210fdd876dd46aa0b96bdc44fd4
--- /dev/null
+++ b/dataset/toys4k/superquadric/tv_003/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.008971220432081366,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/tv_015/config.json b/dataset/toys4k/superquadric/tv_015/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..8ffd96fb72d53b0232d35028da6d117235e89339
--- /dev/null
+++ b/dataset/toys4k/superquadric/tv_015/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.012796371857648354,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/tv_017/config.json b/dataset/toys4k/superquadric/tv_017/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..776b547e4b7b84208279bba8b3bda100d9b8b31d
--- /dev/null
+++ b/dataset/toys4k/superquadric/tv_017/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01907093255571535,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/tv_020/config.json b/dataset/toys4k/superquadric/tv_020/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..82ff737c3ba91fd264b7f8ef80085b412b77df5d
--- /dev/null
+++ b/dataset/toys4k/superquadric/tv_020/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.030952238907174637,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/whale_008/config.json b/dataset/toys4k/superquadric/whale_008/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..9c12e8dda69b7404fcb18dbbaa7c929d851e555f
--- /dev/null
+++ b/dataset/toys4k/superquadric/whale_008/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01703408926764268,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/whale_018/config.json b/dataset/toys4k/superquadric/whale_018/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..328aa64cf80c8812884692f37395e0fb5c4756de
--- /dev/null
+++ b/dataset/toys4k/superquadric/whale_018/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.015486213447827744,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/whale_026/config.json b/dataset/toys4k/superquadric/whale_026/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..67c331180cd36837f9940945911b62e1a55cba63
--- /dev/null
+++ b/dataset/toys4k/superquadric/whale_026/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.010379581761174124,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/whale_027/config.json b/dataset/toys4k/superquadric/whale_027/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..b6df6ba7527d82673ad6a3d42c4e743fdc1b6510
--- /dev/null
+++ b/dataset/toys4k/superquadric/whale_027/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.017409192643694536,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/whale_027/primitive_assembly.pkl b/dataset/toys4k/superquadric/whale_027/primitive_assembly.pkl
new file mode 100644
index 0000000000000000000000000000000000000000..80ff90111fdec8b3db708287d1899a38e0157dcb
--- /dev/null
+++ b/dataset/toys4k/superquadric/whale_027/primitive_assembly.pkl
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd66f25bb3a58758a98cd91bcffd69a8b7bf6ba3349c7d7988526e012d065194
+size 267533
diff --git a/dataset/toys4k/superquadric/whale_027/primitive_assembly_error.pkl b/dataset/toys4k/superquadric/whale_027/primitive_assembly_error.pkl
new file mode 100644
index 0000000000000000000000000000000000000000..bc6402c0bac7a14a9d56bbd7b18cc0d40c53c6fe
--- /dev/null
+++ b/dataset/toys4k/superquadric/whale_027/primitive_assembly_error.pkl
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83dc7a08fc98101326a9f84ec5a3ec03eafbd83cd1a9478e0f15f40dd984f245
+size 134955
diff --git a/dataset/toys4k/superquadric/whale_034/config.json b/dataset/toys4k/superquadric/whale_034/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..b7d7abd693074931498b84055349e6e72078cb15
--- /dev/null
+++ b/dataset/toys4k/superquadric/whale_034/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.018429304876890762,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "COMPILED_FUNCTIONS": null,
+    "USE_CURVATURE_WEIGHTS": true,
+    "INTERNAL_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "OLD_MESH_PROCESS": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/whale_034/primitive_assembly.pkl b/dataset/toys4k/superquadric/whale_034/primitive_assembly.pkl
new file mode 100644
index 0000000000000000000000000000000000000000..60dfe32c47612a1bd8a80bdfc232870b436c88a7
--- /dev/null
+++ b/dataset/toys4k/superquadric/whale_034/primitive_assembly.pkl
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:220b05e11682b7d21e9c06a3710c08b3d10e38cfbf60afe446788ffdd455f311
+size 162412
diff --git a/dataset/toys4k/superquadric/whale_034/primitive_assembly_error.pkl b/dataset/toys4k/superquadric/whale_034/primitive_assembly_error.pkl
new file mode 100644
index 0000000000000000000000000000000000000000..d5191e6ff1e5521a5565fb5e6e94edd941b010b1
--- /dev/null
+++ b/dataset/toys4k/superquadric/whale_034/primitive_assembly_error.pkl
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:091b3b0cfb04654f6e0070cd8c8624e7b45613a173df015872a8aad50ee9b2d1
+size 183
diff --git a/dataset/toys4k/superquadric/whale_037/config.json b/dataset/toys4k/superquadric/whale_037/config.json
new file mode 100644
index 0000000000000000000000000000000000000000..af0929982bbfc141d0371dd79f57897fc6a6e5ac
--- /dev/null
+++ b/dataset/toys4k/superquadric/whale_037/config.json
@@ -0,0 +1,91 @@
+{
+    "DEFAULT_LOGITS_RESTART_VALUES": [
+        1.9,
+        -1.9
+    ],
+    "PRUNE_METRIC": "surface_iou_wt_curvature",
+    "N_SURFACE_POINTS_EVAL": 100000,
+    "MPS_MIN_IMPROVEMENT": 0.001,
+    "PRUNE_RESOLUTION": 128,
+    "DECOMPOSE_RESOLUTION": 256,
+    "OPT_RESOLUTION": 64,
+    "DATA_RESOLUTION": 256,
+    "RESFIT_MAX_ITER": 10,
+    "MPS_LEN_WEIGHT": -0.001,
+    "MPS_STOP_IOU": 0.99,
+    "DECOMPOSE_SIZE_LIMIT": 20,
+    "DECOMPOSE_MODE": "MSD_NEW",
+    "DECOMPOSE_CONFIG": {
+        "min_eroded_part_size_ratio": 0.005,
+        "min_part_size_ratio": 0.0005,
+        "size_limit": 20,
+        "max_msd_iter": 5
+    },
+    "MIN_VOLUME_LIMIT_FOR_REINIT": 2e-05,
+    "EARLY_STOP": true,
+    "EARLY_STOP_ITER": 1,
+    "OPTIMIZER": "ADAM",
+    "WEIGHT_DECAY": 1e-05,
+    "OPT_EPSILON": 1e-09,
+    "OPT_LR_RATE": 0.01,
+    "EXISTENCE_LR_MULTIPLIER": 5.0,
+    "MIN_TEMP_VAL": 0.1,
+    "MAX_TEMP_VAL": 1.0,
+    "SCALE_FACTOR_START": 10.0,
+    "SCALE_FACTOR_END": 15.0,
+    "N_ITERS": 400,
+    "SAT_PATIENCE": 100,
+    "LOSS_BAND": 0.05,
+    "MIN_IMPROVEMENT": 0.0001,
+    "OPT_STOPPING_IOU": 0.99,
+    "MAX_ITER": 1000,
+    "LOWER_SP": true,
+    "STOCHASTIC_PRECONDITION_INIT_VAL": 0.034641016151377546,
+    "STOCHASTIC_PRECONDITION_INIT_VAL_LOWER": 0.01845417518580357,
+    "DO_PRUNE": true,
+    "PRIM_TYPE": "VarAxisSQ",
+    "SMOOTHEN": true,
+    "TARGET_MODE": "dilated",
+    "TARGET_MODE_DILATION": 0.15,
+    "RENEW_PTS_ITER": 100,
+    "N_SURFACE_POINTS": 100000,
+    "LOG_FREQUENCY": 50,
+    "AOT_ARTIFACT_FILE": null,
+    "SAVE_JIT_CACHE": true,
+    "OVERWRITE_JIT_CACHE": false,
+    "TorchCompile": true,
+    "FastMode": true,
+    "USE_CURVATURE_WEIGHTS": true,
+    "CURVATURE_WEIGHTS_SCALE": 1.0,
+    "SURFACE_ADJ_PERTURBATION_SCALE": 0.05,
+    "BIDIR": true,
+    "BIDIR_RESOLUTION": 128,
+    "BIDIR_SAMPLE_RATIO": 0.75,
+    "LOSS_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_ADJ_OCC_ALPHA": 2.0,
+    "LOSS_SURFACE_SDF_ALPHA": 1.0,
+    "LOSS_SURFACE_ADJ_SDF_ALPHA": 1.0,
+    "STOCHASTIC_DROPOUT": true,
+    "LOSS_PRIMITIVE_COUNT_ALPHA": 0.002,
+    "LOSS_OVERLAP_ALPHA": 0.1,
+    "LOSS_SHAPE_UNOVERLAP_ALPHA": 0.1,
+    "LOSS_PARAM_REGULARIZATION_ALPHA": 0.0001,
+    "MORPH_LOSS": false,
+    "MORPH_LOSS_SCALE": 0.02,
+    "TVERSKY_MODE": false,
+    "TVERSKY_ALPHA": 1.0,
+    "TVERSKY_BETA": 0.0,
+    "SEMANTIC_LOSS": false,
+    "SEMANTIC_LOSS_ALPHA": 1.0,
+    "SEMANTIC_LOSS_BAND": 0.01,
+    "REFLECTION_LOSS": false,
+    "REFLECTION_LOSS_ALPHA": 1.0,
+    "RANDOM_SEED": 42,
+    "EVAL_SEED": 12345,
+    "USE_DETERMINISTIC": false,
+    "OPT_POST_PRUNE": false,
+    "RENDER_MODE": false,
+    "RENDER_ITER": 5,
+    "LOSS_SURFACE_ADJ_SDF": true,
+    "_RELEASE_SANITIZED": true
+}
diff --git a/dataset/toys4k/superquadric/whale_037/primitive_assembly.pkl b/dataset/toys4k/superquadric/whale_037/primitive_assembly.pkl
new file mode 100644
index 0000000000000000000000000000000000000000..ef7c21138bc44e534787286b4838789836ecddee
--- /dev/null
+++ b/dataset/toys4k/superquadric/whale_037/primitive_assembly.pkl
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1f65310dfcb62e8e2c503f38defce0ca29fcbaa4321f478c9d04c3d3ef334c6
+size 246801
diff --git a/examples/load_artifact.py b/examples/load_artifact.py
new file mode 100644
index 0000000000000000000000000000000000000000..857534ba1a0488483c68606c1046a5ecf69b64e7
--- /dev/null
+++ b/examples/load_artifact.py
@@ -0,0 +1,72 @@
+#!/usr/bin/env python3
+"""Example: discover and load a primitive assembly from the release manifest.
+
+Run from the dataset repository root::
+
+    python examples/load_artifact.py
+    python examples/load_artifact.py --source toys4k --method superfrustum --object-id airplane_002
+    python examples/load_artifact.py --artifact eval
+
+Requires only the Python standard library plus ``load_release.py`` at the repo root.
+"""
+
+from __future__ import annotations
+
+import argparse
+import sys
+from pathlib import Path
+
+# Allow `import load_release` when executed as `python examples/load_artifact.py`
+_REPO_ROOT = Path(__file__).resolve().parent.parent
+if str(_REPO_ROOT) not in sys.path:
+    sys.path.insert(0, str(_REPO_ROOT))
+
+from load_release import ReleaseIndex, load_metadata  # noqa: E402
+
+
+def main() -> None:
+    parser = argparse.ArgumentParser(description=__doc__)
+    parser.add_argument("--root", type=Path, default=_REPO_ROOT, help="Dataset repo root.")
+    parser.add_argument("--source", default="toys4k", choices=["toys4k", "partobjaverse"])
+    parser.add_argument("--method", default="superfrustum")
+    parser.add_argument("--object-id", default=None, help="Instance id; default: first match.")
+    parser.add_argument(
+        "--artifact",
+        default="primitive_assembly",
+        choices=[
+            "primitive_assembly",
+            "primitive_assembly_eval",
+            "primitive_assembly_error",
+            "primitive_assembly_textured",
+        ],
+    )
+    args = parser.parse_args()
+
+    meta = load_metadata(args.root)
+    print(f"Release: {meta.get('release_root_name', args.root.name)}")
+    print(f"Total instances in manifest: {meta.get('total_instances', '?')}")
+
+    index = ReleaseIndex(args.root)
+    if args.object_id:
+        row = index.get(args.source, args.method, args.object_id)
+    else:
+        rows = index.filter(source_dataset=args.source, method=args.method)
+        if not rows:
+            raise SystemExit(f"No rows for {args.source}/{args.method}")
+        row = rows[0]
+        print(f"(using first of {len(rows)} matches)")
+
+    print(f"Instance: {row['instance_dir']}")
+    path = index.artifact_path(row, args.artifact)  # type: ignore[arg-type]
+    print(f"Loading: {path} ({path.stat().st_size} bytes)")
+
+    obj = index.load(row, args.artifact)  # type: ignore[arg-type]
+    print(f"Loaded type: {type(obj).__name__}")
+    if isinstance(obj, dict):
+        print(f"Top-level keys ({len(obj)}): {list(obj.keys())[:20]}")
+        if len(obj) > 20:
+            print("  ...")
+
+
+if __name__ == "__main__":
+    main()
diff --git a/scripts/build_manifest.py b/scripts/build_manifest.py
new file mode 100644
index 0000000000000000000000000000000000000000..b484a12a42ead832f4102e5fbb4fd83b0ff7dc86
--- /dev/null
+++ b/scripts/build_manifest.py
@@ -0,0 +1,244 @@
+"""Generate manifest.jsonl and metadata.json for the sf_release dataset.
+
+Walks `<root>/dataset/<source_dataset>/<method>/<object_id>/` and records one row
+per instance with the artifacts present in that directory. Designed to be
+idempotent and to ship inside the released Hugging Face repository so users can
+rebuild the manifest at any revision.
+
+Usage:
+    python scripts/build_manifest.py            # writes manifest.jsonl + metadata.json
+    python scripts/build_manifest.py --checksums # also compute sha256 (slow)
+    python scripts/build_manifest.py --root /path/to/sf_release --out-dir /path/to/out
+"""
+
+from __future__ import annotations
+
+import argparse
+import hashlib
+import json
+import re
+from collections import Counter, defaultdict
+from pathlib import Path
+from typing import Any
+
+# Artifacts we look for in each instance directory.
+# Order matters only for documentation; lookup is by exact filename.
+OPTIONAL_FILES: dict[str, str] = {
+    "config": "config.json",
+    "primitive_assembly": "primitive_assembly.pkl",
+    "primitive_assembly_textured": "primitive_assembly.pkl_textured.pkl",
+    "primitive_assembly_eval": "primitive_assembly_eval.pkl",
+    "primitive_assembly_error": "primitive_assembly_error.pkl",
+}
+
+# Subdirectory under the release root that holds subset/method/instance trees.
+DATASET_DIR = "dataset"
+
+# Aggregate / method-level files we expect to find at <subset>/<method>/
+METHOD_LEVEL_FILES: dict[str, str] = {
+    "eval_summary_md": "eval_summary",  # prefix; suffix encodes range
+    "eval_summary_pkl": "eval_summary",
+}
+
+# toys4k uses "<category>_<numeric_id>" object ids; PartObjaverse uses 32-char hex.
+TOYS4K_OBJECT_RE = re.compile(r"^(?P<category>[A-Za-z][A-Za-z0-9_]*?)_(?P<num>\d{3,})$")
+HEX_OBJECT_RE = re.compile(r"^[0-9a-f]{32}$")
+
+
+def sha256_file(path: Path, chunk_size: int = 1 << 20) -> str:
+    h = hashlib.sha256()
+    with path.open("rb") as fh:
+        while True:
+            buf = fh.read(chunk_size)
+            if not buf:
+                break
+            h.update(buf)
+    return h.hexdigest()
+
+
+def parse_object_id(source_dataset: str, name: str) -> tuple[str | None, str]:
+    """Return (category, object_id). category is None when not derivable."""
+    if source_dataset == "toys4k":
+        m = TOYS4K_OBJECT_RE.match(name)
+        if m:
+            return m.group("category"), name
+        return None, name
+    if source_dataset == "partobjaverse":
+        if HEX_OBJECT_RE.match(name):
+            return None, name
+        return None, name
+    return None, name
+
+
+def scan_instance(instance_dir: Path) -> dict[str, Any]:
+    files_present: dict[str, bool] = {}
+    file_sizes: dict[str, int] = {}
+    for key, filename in OPTIONAL_FILES.items():
+        candidate = instance_dir / filename
+        present = candidate.is_file()
+        files_present[f"has_{key}"] = present
+        if present:
+            file_sizes[f"{key}_bytes"] = candidate.stat().st_size
+    return {"files_present": files_present, "file_sizes": file_sizes}
+
+
+def build_manifest(
+    root: Path,
+    compute_checksums: bool,
+    dataset_dir: str = DATASET_DIR,
+) -> tuple[list[dict[str, Any]], dict[str, Any]]:
+    rows: list[dict[str, Any]] = []
+    subset_counts: Counter[tuple[str, str]] = Counter()
+    method_aggregates: dict[tuple[str, str], dict[str, Any]] = {}
+    category_counts: dict[tuple[str, str], Counter[str]] = defaultdict(Counter)
+
+    if not root.is_dir():
+        raise SystemExit(f"Release root does not exist: {root}")
+
+    data_root = root / dataset_dir
+    if not data_root.is_dir():
+        raise SystemExit(f"Dataset directory does not exist: {data_root}")
+
+    subsets = sorted(
+        p.name for p in data_root.iterdir() if p.is_dir() and not p.name.startswith(".")
+    )
+    for subset in subsets:
+        subset_dir = data_root / subset
+        methods = sorted(p.name for p in subset_dir.iterdir() if p.is_dir())
+        for method in methods:
+            method_dir = subset_dir / method
+
+            method_files: dict[str, list[str]] = {"eval_summary_md": [], "eval_summary_pkl": []}
+            for entry in method_dir.iterdir():
+                if entry.is_file() and entry.name.startswith("eval_summary"):
+                    if entry.suffix == ".md":
+                        method_files["eval_summary_md"].append(entry.name)
+                    elif entry.suffix == ".pkl":
+                        method_files["eval_summary_pkl"].append(entry.name)
+            for k in method_files:
+                method_files[k].sort()
+            method_aggregates[(subset, method)] = method_files
+
+            instance_dirs = sorted(p for p in method_dir.iterdir() if p.is_dir())
+            for instance_dir in instance_dirs:
+                name = instance_dir.name
+                category, object_id = parse_object_id(subset, name)
+                scan = scan_instance(instance_dir)
+
+                paths: dict[str, str | None] = {}
+                for key, filename in OPTIONAL_FILES.items():
+                    rel = f"{dataset_dir}/{subset}/{method}/{name}/{filename}"
+                    paths[f"{key}_path"] = rel if scan["files_present"][f"has_{key}"] else None
+
+                row: dict[str, Any] = {
+                    "source_dataset": subset,
+                    "method": method,
+                    "object_id": object_id,
+                    "category": category,
+                    "instance_dir": f"{dataset_dir}/{subset}/{method}/{name}",
+                    **paths,
+                    **scan["files_present"],
+                    **scan["file_sizes"],
+                }
+                if compute_checksums:
+                    for key, filename in OPTIONAL_FILES.items():
+                        candidate = instance_dir / filename
+                        if candidate.is_file():
+                            row[f"{key}_sha256"] = sha256_file(candidate)
+
+                rows.append(row)
+                subset_counts[(subset, method)] += 1
+                if category is not None:
+                    category_counts[(subset, method)][category] += 1
+
+    metadata: dict[str, Any] = {
+        "release_root_name": root.resolve().name,
+        "data_dir": dataset_dir,
+        "subsets": sorted({s for s, _ in subset_counts}),
+        "methods_by_subset": {
+            subset: sorted({m for s, m in subset_counts if s == subset})
+            for subset in sorted({s for s, _ in subset_counts})
+        },
+        "instance_counts": {
+            f"{subset}/{method}": count
+            for (subset, method), count in sorted(subset_counts.items())
+        },
+        "total_instances": sum(subset_counts.values()),
+        "method_level_files": {
+            f"{subset}/{method}": files
+            for (subset, method), files in sorted(method_aggregates.items())
+        },
+        "category_counts_toys4k": {
+            f"{subset}/{method}": dict(sorted(counts.items()))
+            for (subset, method), counts in sorted(category_counts.items())
+            if subset == "toys4k"
+        },
+        "schema": {
+            "artifact_filenames": OPTIONAL_FILES,
+            "manifest_columns": [
+                "source_dataset",
+                "method",
+                "object_id",
+                "category",
+                "instance_dir",
+                "config_path",
+                "primitive_assembly_path",
+                "primitive_assembly_textured_path",
+                "primitive_assembly_eval_path",
+                "primitive_assembly_error_path",
+                "has_config",
+                "has_primitive_assembly",
+                "has_primitive_assembly_textured",
+                "has_primitive_assembly_eval",
+                "has_primitive_assembly_error",
+                "config_bytes",
+                "primitive_assembly_bytes",
+                "primitive_assembly_textured_bytes",
+                "primitive_assembly_eval_bytes",
+                "primitive_assembly_error_bytes",
+            ],
+            "checksums_included": compute_checksums,
+        },
+    }
+    return rows, metadata
+
+
+def write_outputs(rows: list[dict[str, Any]], metadata: dict[str, Any], out_dir: Path) -> None:
+    out_dir.mkdir(parents=True, exist_ok=True)
+    manifest_path = out_dir / "manifest.jsonl"
+    with manifest_path.open("w") as fh:
+        for row in rows:
+            fh.write(json.dumps(row, sort_keys=True))
+            fh.write("\n")
+    metadata_path = out_dir / "metadata.json"
+    with metadata_path.open("w") as fh:
+        json.dump(metadata, fh, indent=2, sort_keys=True)
+        fh.write("\n")
+    print(f"Wrote {len(rows)} rows to {manifest_path}")
+    print(f"Wrote summary to {metadata_path}")
+
+
+def main() -> None:
+    parser = argparse.ArgumentParser(description=__doc__)
+    default_root = Path(__file__).resolve().parent.parent
+    parser.add_argument("--root", type=Path, default=default_root,
+                        help="Release root (expects dataset/<subset>/<method>/<instance>/).")
+    parser.add_argument("--dataset-dir", type=str, default=DATASET_DIR,
+                        help=f"Name of the data subdirectory under --root (default: {DATASET_DIR}).")
+    parser.add_argument("--out-dir", type=Path, default=None,
+                        help="Where to write manifest.jsonl and metadata.json. Defaults to --root.")
+    parser.add_argument("--checksums", action="store_true",
+                        help="Compute sha256 for every artifact file. Slow on the full release.")
+    args = parser.parse_args()
+
+    out_dir = args.out_dir if args.out_dir is not None else args.root
+    rows, metadata = build_manifest(
+        args.root,
+        compute_checksums=args.checksums,
+        dataset_dir=args.dataset_dir,
+    )
+    write_outputs(rows, metadata, out_dir)
+
+
+if __name__ == "__main__":
+    main()
diff --git a/scripts/sanitize_configs.py b/scripts/sanitize_configs.py
new file mode 100644
index 0000000000000000000000000000000000000000..91a03bc5b4385fac329ff7d95927365b404f7191
--- /dev/null
+++ b/scripts/sanitize_configs.py
@@ -0,0 +1,99 @@
+"""Strip machine-specific values from every `config.json` in the release.
+
+The fit pipeline records absolute paths to local AOT (ahead-of-time compiled)
+PyTorch artifacts in `AOT_ARTIFACT_FILE`. Those paths only resolve on the
+machine where the fit was produced, and the binary AOT artifacts themselves are
+not part of the release. This script nulls those paths in place. All numeric
+hyperparameters, seeds, and reproducibility fields are left untouched.
+
+The script is idempotent: keys that are already `None` (or absent) are skipped.
+It supports `--dry-run` to preview affected files without writing.
+
+Usage:
+    python scripts/sanitize_configs.py            # write in place
+    python scripts/sanitize_configs.py --dry-run  # report only
+    python scripts/sanitize_configs.py --root /path/to/sf_release
+"""
+
+from __future__ import annotations
+
+import argparse
+import json
+from pathlib import Path
+from typing import Any
+
+# Keys whose values are machine-specific absolute paths and must be nulled.
+PATH_KEYS_TO_NULL: tuple[str, ...] = (
+    "AOT_ARTIFACT_FILE",
+)
+
+# Sentinel value used to flag previously-sanitized files.
+SANITIZED_MARKER_KEY = "_RELEASE_SANITIZED"
+
+
+def sanitize_config(data: dict[str, Any]) -> tuple[dict[str, Any], list[str]]:
+    """Return (new_data, list_of_changed_keys). Does not modify input."""
+    new = dict(data)
+    changed: list[str] = []
+    for key in PATH_KEYS_TO_NULL:
+        if key in new and new[key] is not None:
+            new[key] = None
+            changed.append(key)
+    if changed and not new.get(SANITIZED_MARKER_KEY):
+        new[SANITIZED_MARKER_KEY] = True
+    return new, changed
+
+
+def process_file(path: Path, dry_run: bool) -> tuple[bool, list[str]]:
+    raw = path.read_text()
+    try:
+        data = json.loads(raw)
+    except json.JSONDecodeError as exc:
+        print(f"  SKIP {path}: invalid JSON ({exc})")
+        return False, []
+    if not isinstance(data, dict):
+        print(f"  SKIP {path}: not a JSON object")
+        return False, []
+    new_data, changed = sanitize_config(data)
+    if not changed:
+        return False, []
+    if not dry_run:
+        # Preserve 4-space indentation to match the existing files.
+        path.write_text(json.dumps(new_data, indent=4) + "\n")
+    return True, changed
+
+
+def main() -> None:
+    parser = argparse.ArgumentParser(description=__doc__)
+    default_root = Path(__file__).resolve().parent.parent
+    parser.add_argument("--root", type=Path, default=default_root,
+                        help="Release root containing config.json files anywhere underneath.")
+    parser.add_argument("--dry-run", action="store_true",
+                        help="Report files that would be modified; do not write.")
+    args = parser.parse_args()
+
+    if not args.root.is_dir():
+        raise SystemExit(f"Release root does not exist: {args.root}")
+
+    config_paths = sorted(args.root.rglob("config.json"))
+    print(f"Scanning {len(config_paths)} config.json files under {args.root}")
+    print(f"Keys to null: {PATH_KEYS_TO_NULL}")
+    if args.dry_run:
+        print("(dry run; no files will be written)")
+
+    changed_count = 0
+    per_key: dict[str, int] = {k: 0 for k in PATH_KEYS_TO_NULL}
+    for path in config_paths:
+        was_changed, changed_keys = process_file(path, args.dry_run)
+        if was_changed:
+            changed_count += 1
+            for k in changed_keys:
+                per_key[k] = per_key.get(k, 0) + 1
+
+    print(f"Changed: {changed_count}/{len(config_paths)} configs")
+    for k, n in per_key.items():
+        print(f"  {k}: {n}")
+
+
+if __name__ == "__main__":
+    main()
diff --git a/scripts/validate_release.py b/scripts/validate_release.py
new file mode 100644
index 0000000000000000000000000000000000000000..8af4109b2856dee391a56e3b1982ad49903c9751
--- /dev/null
+++ b/scripts/validate_release.py
@@ -0,0 +1,221 @@
+"""Validate sf_release before publishing to Hugging Face.
+
+Checks:
+  - manifest.jsonl and metadata.json exist and are consistent
+  - every required artifact path in the manifest exists on disk
+  - optional artifacts are reported but do not fail validation when absent
+  - config.json files contain no machine-local absolute paths
+  - .gitattributes routes *.pkl through Git LFS
+
+Usage:
+    python scripts/validate_release.py
+    python scripts/validate_release.py --root /path/to/sf_release --strict
+"""
+
+from __future__ import annotations
+
+import argparse
+import json
+import re
+from pathlib import Path
+from typing import Any
+
+LOCAL_PATH_RE = re.compile(
+    r"(/users/|/oscar/|/scratch/|/home/|[A-Za-z]:\\\\)"
+)
+
+REQUIRED_ROW_FLAGS = ("has_config",)
+REQUIRED_PATH_KEYS = ("config_path",)
+# Instances must carry EITHER a primitive_assembly OR a primitive_assembly_error
+# pickle. Failed fits are released for completeness.
+ASSEMBLY_OR_ERROR_KEYS = ("primitive_assembly_path", "primitive_assembly_error_path")
+OPTIONAL_PATH_KEYS = (
+    "primitive_assembly_path",
+    "primitive_assembly_eval_path",
+    "primitive_assembly_error_path",
+    "primitive_assembly_textured_path",
+)
+
+
+def load_manifest(root: Path) -> list[dict[str, Any]]:
+    manifest_path = root / "manifest.jsonl"
+    if not manifest_path.is_file():
+        raise FileNotFoundError(f"Missing {manifest_path}")
+    rows: list[dict[str, Any]] = []
+    with manifest_path.open() as fh:
+        for i, line in enumerate(fh, 1):
+            line = line.strip()
+            if not line:
+                continue
+            try:
+                rows.append(json.loads(line))
+            except json.JSONDecodeError as exc:
+                raise ValueError(f"manifest.jsonl line {i}: {exc}") from exc
+    return rows
+
+
+def validate_manifest_paths(root: Path, rows: list[dict[str, Any]]) -> tuple[list[str], list[str]]:
+    errors: list[str] = []
+    warnings: list[str] = []
+
+    for row in rows:
+        inst = row.get("instance_dir", "?")
+        for flag in REQUIRED_ROW_FLAGS:
+            if not row.get(flag):
+                errors.append(f"{inst}: missing required flag {flag}")
+        for key in REQUIRED_PATH_KEYS:
+            rel = row.get(key)
+            if not rel:
+                errors.append(f"{inst}: missing {key}")
+                continue
+            if not (root / rel).is_file():
+                errors.append(f"{inst}: file not found: {rel}")
+
+        if not any(row.get(k) for k in ASSEMBLY_OR_ERROR_KEYS):
+            errors.append(
+                f"{inst}: missing both primitive_assembly_path and primitive_assembly_error_path"
+            )
+
+        for key in OPTIONAL_PATH_KEYS:
+            rel = row.get(key)
+            flag = key.replace("_path", "")
+            has_flag = row.get(f"has_{flag}", row.get(key.replace("_path", "").replace("primitive_assembly_", "has_primitive_assembly_")))
+            # normalize flag name from path key
+            if key == "primitive_assembly_eval_path":
+                has_flag = row.get("has_primitive_assembly_eval")
+            elif key == "primitive_assembly_error_path":
+                has_flag = row.get("has_primitive_assembly_error")
+            elif key == "primitive_assembly_textured_path":
+                has_flag = row.get("has_primitive_assembly_textured")
+
+            if has_flag and rel and not (root / rel).is_file():
+                errors.append(f"{inst}: flagged present but missing: {rel}")
+            if not has_flag and rel:
+                warnings.append(f"{inst}: {key} set but has_* flag is false")
+
+    return errors, warnings
+
+
+def validate_metadata(root: Path, rows: list[dict[str, Any]]) -> list[str]:
+    errors: list[str] = []
+    meta_path = root / "metadata.json"
+    if not meta_path.is_file():
+        return [f"Missing {meta_path}"]
+    with meta_path.open() as fh:
+        meta = json.load(fh)
+    if meta.get("total_instances") != len(rows):
+        errors.append(
+            f"metadata total_instances={meta.get('total_instances')} "
+            f"!= manifest rows={len(rows)}"
+        )
+    return errors
+
+
+def validate_configs(root: Path) -> list[str]:
+    errors: list[str] = []
+    for cfg in root.rglob("config.json"):
+        try:
+            data = json.loads(cfg.read_text())
+        except json.JSONDecodeError as exc:
+            errors.append(f"{cfg}: invalid JSON: {exc}")
+            continue
+        if not isinstance(data, dict):
+            continue
+        for key, value in data.items():
+            if isinstance(value, str) and LOCAL_PATH_RE.search(value):
+                errors.append(f"{cfg}: local path in {key}: {value[:80]}")
+    return errors
+
+
+def validate_gitattributes(root: Path) -> list[str]:
+    errors: list[str] = []
+    ga = root / ".gitattributes"
+    if not ga.is_file():
+        return ["Missing .gitattributes"]
+    text = ga.read_text()
+    if "*.pkl" not in text or "filter=lfs" not in text:
+        errors.append(".gitattributes does not route *.pkl through Git LFS")
+    return errors
+
+
+def validate_readme(root: Path) -> list[str]:
+    errors: list[str] = []
+    readme = root / "README.md"
+    if not readme.is_file():
+        return ["Missing README.md"]
+    head = readme.read_text()[:800]
+    if not head.startswith("---"):
+        errors.append("README.md missing YAML front matter (---)")
+    for token in ("license:", "task_categories:", "tags:"):
+        if token not in head:
+            errors.append(f"README.md front matter missing `{token}`")
+    if "pickle" not in readme.read_text().lower():
+        errors.append("README.md should document pickle safety")
+    return errors
+
+
+def main() -> None:
+    parser = argparse.ArgumentParser(description=__doc__)
+    default_root = Path(__file__).resolve().parent.parent
+    parser.add_argument("--root", type=Path, default=default_root)
+    parser.add_argument(
+        "--strict",
+        action="store_true",
+        help="Treat warnings as errors.",
+    )
+    parser.add_argument(
+        "--skip-config-scan",
+        action="store_true",
+        help="Skip scanning all config.json files (faster).",
+    )
+    args = parser.parse_args()
+    root = args.root.resolve()
+
+    print(f"Validating release at {root}")
+    all_errors: list[str] = []
+    all_warnings: list[str] = []
+
+    try:
+        rows = load_manifest(root)
+        print(f"  manifest rows: {len(rows)}")
+    except (FileNotFoundError, ValueError) as exc:
+        print(f"FAIL: {exc}")
+        raise SystemExit(1) from exc
+
+    all_errors.extend(validate_metadata(root, rows))
+    path_errors, path_warnings = validate_manifest_paths(root, rows)
+    all_errors.extend(path_errors)
+    all_warnings.extend(path_warnings)
+
+    if not args.skip_config_scan:
+        print("  scanning config.json files for local paths...")
+        all_errors.extend(validate_configs(root))
+
+    all_errors.extend(validate_gitattributes(root))
+    all_errors.extend(validate_readme(root))
+
+    for w in all_warnings:
+        print(f"WARN: {w}")
+    for e in all_errors:
+        print(f"ERROR: {e}")
+
+    if all_warnings and args.strict:
+        all_errors.extend([f"(strict) {w}" for w in all_warnings])
+
+    if all_errors:
+        print(f"\nValidation FAILED ({len(all_errors)} error(s))")
+        report = root / "release_report.txt"
+        try:
+            report.write_text("\n".join(["ERRORS:"] + all_errors + ["", "WARNINGS:"] + all_warnings))
+            print(f"Wrote {report}")
+        except OSError:
+            pass
+        raise SystemExit(1)
+
+    print("\nValidation PASSED")
+    if all_warnings:
+        print(f"  ({len(all_warnings)} warning(s); re-run with --strict to fail on warnings)")
+
+
+if __name__ == "__main__":
+    main()