MM-MATH: Advancing Multimodal Math Evaluation with Process Evaluation and Fine-grained Classification

Fuente: arXiv
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Autori principali: Sun, Kai, Bai, Yushi, Qi, Ji, Hou, Lei, Li, Juanzi
Natura: Preprint
Pubblicazione: 2024
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author Sun, Kai
Bai, Yushi
Qi, Ji
Hou, Lei
Li, Juanzi
author_facet Sun, Kai
Bai, Yushi
Qi, Ji
Hou, Lei
Li, Juanzi
contents To advance the evaluation of multimodal math reasoning in large multimodal models (LMMs), this paper introduces a novel benchmark, MM-MATH. MM-MATH consists of 5,929 open-ended middle school math problems with visual contexts, with fine-grained classification across difficulty, grade level, and knowledge points. Unlike existing benchmarks relying on binary answer comparison, MM-MATH incorporates both outcome and process evaluations. Process evaluation employs LMM-as-a-judge to automatically analyze solution steps, identifying and categorizing errors into specific error types. Extensive evaluation of ten models on MM-MATH reveals significant challenges for existing LMMs, highlighting their limited utilization of visual information and struggles with higher-difficulty problems. The best-performing model achieves only 31% accuracy on MM-MATH, compared to 82% for humans. This highlights the challenging nature of our benchmark for existing models and the significant gap between the multimodal reasoning capabilities of current models and humans. Our process evaluation reveals that diagram misinterpretation is the most common error, accounting for more than half of the total error cases, underscoring the need for improved image comprehension in multimodal reasoning.
format Preprint
id arxiv_https___arxiv_org_abs_2404_05091
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle MM-MATH: Advancing Multimodal Math Evaluation with Process Evaluation and Fine-grained Classification
Sun, Kai
Bai, Yushi
Qi, Ji
Hou, Lei
Li, Juanzi
Computation and Language
To advance the evaluation of multimodal math reasoning in large multimodal models (LMMs), this paper introduces a novel benchmark, MM-MATH. MM-MATH consists of 5,929 open-ended middle school math problems with visual contexts, with fine-grained classification across difficulty, grade level, and knowledge points. Unlike existing benchmarks relying on binary answer comparison, MM-MATH incorporates both outcome and process evaluations. Process evaluation employs LMM-as-a-judge to automatically analyze solution steps, identifying and categorizing errors into specific error types. Extensive evaluation of ten models on MM-MATH reveals significant challenges for existing LMMs, highlighting their limited utilization of visual information and struggles with higher-difficulty problems. The best-performing model achieves only 31% accuracy on MM-MATH, compared to 82% for humans. This highlights the challenging nature of our benchmark for existing models and the significant gap between the multimodal reasoning capabilities of current models and humans. Our process evaluation reveals that diagram misinterpretation is the most common error, accounting for more than half of the total error cases, underscoring the need for improved image comprehension in multimodal reasoning.
title MM-MATH: Advancing Multimodal Math Evaluation with Process Evaluation and Fine-grained Classification
topic Computation and Language
url https://arxiv.org/abs/2404.05091