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Measuring Multimodal Mathematical Reasoning with MATH-Vision Dataset

NeurIPS 2024 · Vision-language and multimodal › Multimodal LLMs · approach: Multimodal LLM benchmarks · 20 citations (OpenAlex)

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Introduces MATH-Vision (MATH-V), a 3,040-problem benchmark of visual math competition problems across 16 subjects and 5 difficulty levels, and evaluates LLMs and LMMs showing a large gap to human performance.

Problem

Existing multimodal math benchmarks such as MathVista have limited question diversity and subject breadth, so LMMs appear near human level on them while true visual mathematical reasoning is under-measured.

Approach

Build a benchmark of visual math problems collected from 19 real math competitions (not annotated post hoc on images), with fine-grained subject labels (16) and difficulty levels (5), and use it to measure the gap between LMMs and humans.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add Chain-of-Thought prompting (ablation)GPT4V · MATH-Visionaccuracy: 22.76 -> 23.98Helped
Add Chain-of-Thought prompting (ablation)Gemini Pro · MATH-Visionaccuracy: 17.66 -> 14.34; 3.32% decreaseHurt
Add Chain-of-Thought prompting (ablation)Qwen-VL-Max · MATH-Visionaccuracy: 15.59 -> 12.63; 2.96% decreaseHurt
Add Chain-of-Thought prompting (ablation)InternLM-XComposer2-VL · MATH-Visionaccuracy: 14.54 -> 14.37; 0.17No clear effect

Surprising findings

Limitations

Experimental setup

Datasets: MATH-Vision (MATH-V)

Benchmarks: MATH-Vision (MATH-V) MathVista

Metrics: accuracy

Baselines: GPT-4V Gemini Pro Qwen-VL-Max Qwen-VL-Plus InternLM-XComposer2-VL SPHINX-MoE ShareGPT4V-13B LLaVA-v1.5-13B GPT-4 with image captions ChatGPT-3.5 with image captions

Builds on: MathVista MMMU

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