| | --- |
| | language: |
| | - en |
| | license: mit |
| | size_categories: |
| | - 1K<n<10K |
| | task_categories: |
| | - multiple-choice |
| | - question-answering |
| | - visual-question-answering |
| | - image-text-to-text |
| | tags: |
| | - mathematical-reasoning |
| | - multimodal |
| | - geometry |
| | - benchmark |
| | configs: |
| | - config_name: testmini |
| | data_files: |
| | - split: testmini |
| | path: testmini.parquet |
| | - config_name: testmini_text_only |
| | data_files: |
| | - split: testmini_text_only |
| | path: testmini_text_only.parquet |
| | dataset_info: |
| | - config_name: testmini |
| | features: |
| | - name: sample_index |
| | dtype: string |
| | - name: problem_index |
| | dtype: string |
| | - name: problem_version |
| | dtype: string |
| | - name: question |
| | dtype: string |
| | - name: image |
| | dtype: image |
| | - name: answer |
| | dtype: string |
| | - name: question_type |
| | dtype: string |
| | - name: metadata |
| | struct: |
| | - name: split |
| | dtype: string |
| | - name: source |
| | dtype: string |
| | - name: subject |
| | dtype: string |
| | - name: subfield |
| | dtype: string |
| | - name: query_wo |
| | dtype: string |
| | - name: query_cot |
| | dtype: string |
| | - name: question_for_eval |
| | dtype: string |
| | splits: |
| | - name: testmini |
| | num_bytes: 166789963 |
| | num_examples: 3940 |
| | - config_name: testmini_text_only |
| | features: |
| | - name: sample_index |
| | dtype: string |
| | - name: problem_index |
| | dtype: string |
| | - name: problem_version |
| | dtype: string |
| | - name: question |
| | dtype: string |
| | - name: image |
| | dtype: string |
| | - name: answer |
| | dtype: string |
| | - name: question_type |
| | dtype: string |
| | - name: metadata |
| | struct: |
| | - name: split |
| | dtype: string |
| | - name: source |
| | dtype: string |
| | - name: subject |
| | dtype: string |
| | - name: subfield |
| | dtype: string |
| | - name: query_wo |
| | dtype: string |
| | - name: query_cot |
| | dtype: string |
| | - name: question_for_eval |
| | dtype: string |
| | splits: |
| | - name: testmini_text_only |
| | num_bytes: 250959 |
| | num_examples: 788 |
| | --- |
| | |
| | # Dataset Card for MathVerse |
| |
|
| | - [Dataset Description](https://huggingface.co/datasets/AI4Math/MathVerse/blob/main/README.md#dataset-description) |
| | - [Paper Information](https://huggingface.co/datasets/AI4Math/MathVerse/blob/main/README.md#paper-information) |
| | - [Related Survey Paper](https://huggingface.co/datasets/AI4Math/MathVerse/blob/main/README.md#related-survey-paper) |
| | - [Dataset Examples](https://huggingface.co/datasets/AI4Math/MathVerse/blob/main/README.md#dataset-examples) |
| | - [Leaderboard](https://huggingface.co/datasets/AI4Math/MathVerse/blob/main/README.md#leaderboard) |
| | - [Citation](https://huggingface.co/datasets/AI4Math/MathVerse/blob/main/README.md#citation) |
| |
|
| | ## Dataset Description |
| | The capabilities of **Multi-modal Large Language Models (MLLMs)** in **visual math problem-solving** remain insufficiently evaluated and understood. We investigate current benchmarks to incorporate excessive visual content within textual questions, which potentially assist MLLMs in deducing answers without truly interpreting the input diagrams. |
| |
|
| | <p align="center"> |
| | <img src="https://raw.githubusercontent.com/ZrrSkywalker/MathVerse/main/figs/fig1.png" width="90%"> <br> |
| | </p> |
| | |
| | To this end, we introduce **MathVerse**, an all-around visual math benchmark designed for an equitable and in-depth evaluation of MLLMs. We meticulously collect 2,612 high-quality, multi-subject math problems with diagrams from publicly available sources. Each problem is then transformed by human annotators into **six distinct versions**, each offering varying degrees of information content in multi-modality, contributing to **15K** test samples in total. This approach allows MathVerse to comprehensively assess ***whether and how much MLLMs can truly understand the visual diagrams for mathematical reasoning.*** |
| |
|
| | <p align="center"> |
| | <img src="https://raw.githubusercontent.com/ZrrSkywalker/MathVerse/main/figs/fig2.png" width="90%"> <br> |
| | Six different versions of each problem in <b>MathVerse</b> transformed by expert annotators. |
| | </p> |
| | |
| | In addition, we propose a **Chain-of-Thought (CoT) Evaluation strategy** for a fine-grained assessment of the output answers. Rather than naively judging True or False, we employ GPT-4(V) to adaptively extract crucial reasoning steps, and then score each step with detailed error analysis, which can reveal the intermediate CoT reasoning quality by MLLMs. |
| |
|
| | <p align="center"> |
| | <img src="https://raw.githubusercontent.com/ZrrSkywalker/MathVerse/main/figs/fig3.png" width="90%"> <br> |
| | The two phases of the CoT evaluation strategy. |
| | </p> |
| | |
| | ## Paper Information |
| | - Code: https://github.com/ZrrSkywalker/MathVerse |
| | - Project: https://mathverse-cuhk.github.io/ |
| | - Visualization: https://mathverse-cuhk.github.io/#visualization |
| | - Leaderboard: https://mathverse-cuhk.github.io/#leaderboard |
| | - Paper: https://arxiv.org/abs/2403.14624 |
| |
|
| | ## Related Survey Paper |
| | This dataset is referenced in the comprehensive survey paper "[A Survey of Deep Learning for Geometry Problem Solving](https://huggingface.co/papers/2507.11936)". This survey provides a broad overview of deep learning applications in geometry problem solving, covering tasks, methods, and evaluation metrics. |
| |
|
| | A continuously updated list of papers related to this survey can be found on its GitHub repository: [https://github.com/majianz/gps-survey](https://github.com/majianz/gps-survey). |
| |
|
| | ## Dataset Examples |
| | 🖱 Click to expand the examples for six problems versions within three subjects</summary> |
| |
|
| | <details> |
| | <summary>🔍 Plane Geometry</summary> |
| |
|
| | <p align="center"> |
| | <img src="https://raw.githubusercontent.com/ZrrSkywalker/MathVerse/main/figs/ver1.png" width="50%"> <br> |
| | </p> |
| | </details> |
| | |
| | <details> |
| | <summary>🔍 Solid Geometry</summary> |
| |
|
| | <p align="center"> |
| | <img src="https://raw.githubusercontent.com/ZrrSkywalker/MathVerse/main/figs/ver2.png" width="50%"> <br> |
| | </p> |
| | </details> |
| | |
| | <details> |
| | <summary>🔍 Functions</summary> |
| |
|
| | <p align="center"> |
| | <img src="https://raw.githubusercontent.com/ZrrSkywalker/MathVerse/main/figs/ver3.png" width="50%"> <br> |
| | </p> |
| | </details> |
| | |
| | ## Leaderboard |
| | ### Contributing to the Leaderboard |
| |
|
| | 🚨 The [Leaderboard](https://mathverse-cuhk.github.io/#leaderboard) is continuously being updated. |
| |
|
| | The evaluation instructions and tools will be released soon. For now, please send your results on the ***testmini*** set to this email: 1700012927@pku.edu.cn. Please refer to the following template to prepare your result json file. |
| |
|
| | - [output_testmini_template.json]() |
| |
|
| | ## License |
| | This project is released under the MIT license. |
| |
|
| | ## Citation |
| |
|
| | If you find **MathVerse** useful for your research and applications, please kindly cite using this BibTeX: |
| |
|
| | ```latex |
| | @inproceedings{zhang2024mathverse, |
| | title={MathVerse: Does Your Multi-modal LLM Truly See the Diagrams in Visual Math Problems?}, |
| | author={Renrui Zhang, Dongzhi Jiang, Yichi Zhang, Haokun Lin, Ziyu Guo, Pengshuo Qiu, Aojun Zhou, Pan Lu, Kai-Wei Chang, Peng Gao, Hongsheng Li}, |
| | booktitle={arXiv}, |
| | year={2024} |
| | } |
| | ``` |
