MultiMath: Bridging Visual and Mathematical Reasoning for Large Language Models

Fuente: arXiv
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Autori principali: Peng, Shuai, Fu, Di, Gao, Liangcai, Zhong, Xiuqin, Fu, Hongguang, Tang, Zhi
Natura: Preprint
Pubblicazione: 2024
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author Peng, Shuai
Fu, Di
Gao, Liangcai
Zhong, Xiuqin
Fu, Hongguang
Tang, Zhi
author_facet Peng, Shuai
Fu, Di
Gao, Liangcai
Zhong, Xiuqin
Fu, Hongguang
Tang, Zhi
contents The rapid development of large language models (LLMs) has spurred extensive research into their domain-specific capabilities, particularly mathematical reasoning. However, most open-source LLMs focus solely on mathematical reasoning, neglecting the integration with visual injection, despite the fact that many mathematical tasks rely on visual inputs such as geometric diagrams, charts, and function plots. To fill this gap, we introduce \textbf{MultiMath-7B}, a multimodal large language model that bridges the gap between math and vision. \textbf{MultiMath-7B} is trained through a four-stage process, focusing on vision-language alignment, visual and math instruction-tuning, and process-supervised reinforcement learning. We also construct a novel, diverse and comprehensive multimodal mathematical dataset, \textbf{MultiMath-300K}, which spans K-12 levels with image captions and step-wise solutions. MultiMath-7B achieves state-of-the-art (SOTA) performance among open-source models on existing multimodal mathematical benchmarks and also excels on text-only mathematical benchmarks. Our model and dataset are available at {\textcolor{blue}{\url{https://github.com/pengshuai-rin/MultiMath}}}.
format Preprint
id arxiv_https___arxiv_org_abs_2409_00147
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle MultiMath: Bridging Visual and Mathematical Reasoning for Large Language Models
Peng, Shuai
Fu, Di
Gao, Liangcai
Zhong, Xiuqin
Fu, Hongguang
Tang, Zhi
Computation and Language
Artificial Intelligence
The rapid development of large language models (LLMs) has spurred extensive research into their domain-specific capabilities, particularly mathematical reasoning. However, most open-source LLMs focus solely on mathematical reasoning, neglecting the integration with visual injection, despite the fact that many mathematical tasks rely on visual inputs such as geometric diagrams, charts, and function plots. To fill this gap, we introduce \textbf{MultiMath-7B}, a multimodal large language model that bridges the gap between math and vision. \textbf{MultiMath-7B} is trained through a four-stage process, focusing on vision-language alignment, visual and math instruction-tuning, and process-supervised reinforcement learning. We also construct a novel, diverse and comprehensive multimodal mathematical dataset, \textbf{MultiMath-300K}, which spans K-12 levels with image captions and step-wise solutions. MultiMath-7B achieves state-of-the-art (SOTA) performance among open-source models on existing multimodal mathematical benchmarks and also excels on text-only mathematical benchmarks. Our model and dataset are available at {\textcolor{blue}{\url{https://github.com/pengshuai-rin/MultiMath}}}.
title MultiMath: Bridging Visual and Mathematical Reasoning for Large Language Models
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2409.00147