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Math-LLaVA: Bootstrapping Mathematical Reasoning for Multimodal Large Language Models

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Large language models (LLMs) have demonstrated impressive reasoning capabilities, particularly in textual mathematical problem-solving. However, existing open-source image instruction fine-tuning datasets, containing limited question-answer pairs per image, do not fully exploit visual information to enhance the multimodal mathematical reasoning capabilities of Multimodal LLMs (MLLMs). To bridge this gap, we address the lack of high-quality, diverse multimodal mathematical datasets by collecting 40K high-quality images with question-answer pairs from 24 existing datasets and synthesizing 320K new pairs, creating the MathV360K dataset, which enhances both the breadth and depth of multimodal mathematical questions. We introduce Math-LLaVA, a LLaVA-1.5-based model fine-tuned with MathV360K. This novel approach significantly improves the multimodal mathematical reasoning capabilities of LLaVA-1.5, achieving a 19-point increase and comparable performance to GPT-4V on MathVista's minitest split, and yielding leading performance on Math-V and MathVerse. Furthermore, Math-LLaVA demonstrates enhanced generalizability, showing substantial improvements on the MMMU benchmark. Our research highlights the importance of dataset diversity and synthesis in advancing MLLMs' mathematical reasoning abilities. The code and data are available at: \url{https://github.com/HZQ950419/Math-LLaVA}.

Wenhao Shi, Zhiqiang Hu, Yi Bin, Junhua Liu, Yang Yang, See-Kiong Ng, Lidong Bing, Roy Ka-Wei Lee• 2024

Related benchmarks

TaskDatasetResultRank
Mathematical Multimodal ReasoningMathVerse
Accuracy22.9
259
Mathematical ReasoningMathVerse--
183
Mathematical ReasoningMathVision
Accuracy15.7
168
Mathematical ReasoningMathVista (test)
Accuracy46.6
66
Multimodal Mathematical ReasoningMathVerse
Average Score22.9
66
Multimodal Mathematical ReasoningFlowVerse Text Centric
CoT Error45.1
38
Geometry Problem SolvingMathVista GPS
Accuracy57.7
38
Multimodal Mathematical ReasoningMathVerse (test)
Accuracy (ALL)22.9
33
Mathematical Problem SolvingMathVerse (testmini)
Accuracy22.9
28
Mathematical Problem SolvingMATH-Vision (test)
Accuracy15.7
26
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