Measuring Multimodal Mathematical Reasoning with MATH-Vision Dataset

Ke Wang, Junting Pan, Weikang Shi, Zimu Lu, Mingjie Zhan, Hongsheng Li
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Abstract

Recent advancements in Large Multimodal Models (LMMs) have shown promising results in mathematical reasoning within visual contexts, with models approaching human-level performance on existing benchmarks such as MathVista. However, we observe significant limitations in the diversity of questions and breadth of subjects covered by these benchmarks. To address this issue, we present the MATH-Vision (MATH-V) dataset, a meticulously curated collection of 3,040 high-quality mathematical problems with visual contexts sourced from real math competitions. Spanning 16 distinct mathematical disciplines and graded across 5 levels of difficulty, our dataset provides a comprehensive and diverse set of challenges for evaluating the mathematical reasoning abilities of LMMs. Through extensive experimentation, we unveil a notable performance gap between current LMMs and human performance on MATH-V, underscoring the imperative for further advancements in LMMs. Moreover, our detailed categorization allows for a thorough error analysis of LMMs, offering valuable insights to guide future research and development. The project is available at https://mathvision-cuhk.github.io
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用 MATH-Vision 数据集衡量多模态数学推理能力
大型多模态模型(LMM)的最新进展表明,在视觉语境下进行数学推理的结果很有希望,模型在现有基准(如 MathVista)上的表现已接近人类水平。为了解决这个问题,我们提出了 MATH-Vision (MATH-V)数据集,这是一个经过精心策划的集合,包含 3040 个高质量的数学问题,这些问题的可视化背景来自数学竞赛。我们的数据集横跨 16 个不同的数学学科,分为 5 个难度等级,为评估 LMM 的数学推理能力提供了全面而多样化的挑战。通过广泛的实验,我们发现目前的 LMM 与人类在 MATH-V 上的表现存在明显差距,这凸显了进一步提高 LMM 的必要性。此外,我们还对 LMM 进行了详细分类,以便对其误差进行全面分析,为指导未来的研究和开发提供了宝贵的见解。该项目可在https://mathvision-cuhk.github.io
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