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arXiv 2409.00147cs.CLcs.AI
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MultiMath:桥接大型语言模型的视觉与数学推理

MultiMath: Bridging Visual and Mathematical Reasoning for Large Language Models

Peking University(北京大学);University of Electronic Science and Technology of China(电子科技大学)

Shuai Peng, Di Fu, Liangcai Gao, Xiuqin Zhong, Hongguang Fu, Zhi Tang

AI总结:

本文提出多模态大模型MultiMath-7B及数据集MultiMath-300K,通过四阶段训练融合视觉与数学推理,在开源模型中取得SOTA性能。

摘要:

大型语言模型(LLMs)的快速发展激发了对其领域特定能力的大量研究,尤其是数学推理能力。然而,大多数开源LLMs仅专注于数学推理,忽视了与视觉输入的整合,尽管许多数学任务依赖于几何图形、图表和函数图像等视觉输入。为填补这一空白,我们提出了MultiMath-7B,一个弥合数学与视觉之间差距的多模态大型语言模型。MultiMath-7B通过四阶段流程进行训练,重点包括视觉-语言对齐、视觉与数学指令微调以及过程监督的强化学习。我们还构建了一个新颖、多样且全面的多模态数学数据集MultiMath-300K,涵盖K-12水平,包含图像描述和分步解答。MultiMath-7B在现有多模态数学基准上取得了开源模型中的最先进(SOTA)性能,同时在纯文本数学基准上也表现优异。我们的模型和数据集可在https://github.com/pengshuai-rin/MultiMath获取。

英文摘要:

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}}}.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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