TheoremExplainAgent: Towards Video-based Multimodal Explanations for LLM Theorem Understanding

Fuente: arXiv
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Autores principales: Ku, Max, Chong, Thomas, Leung, Jonathan, Shah, Krish, Yu, Alvin, Chen, Wenhu
Formato: Preprint
Publicado: 2025
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author Ku, Max
Chong, Thomas
Leung, Jonathan
Shah, Krish
Yu, Alvin
Chen, Wenhu
author_facet Ku, Max
Chong, Thomas
Leung, Jonathan
Shah, Krish
Yu, Alvin
Chen, Wenhu
contents Understanding domain-specific theorems often requires more than just text-based reasoning; effective communication through structured visual explanations is crucial for deeper comprehension. While large language models (LLMs) demonstrate strong performance in text-based theorem reasoning, their ability to generate coherent and pedagogically meaningful visual explanations remains an open challenge. In this work, we introduce TheoremExplainAgent, an agentic approach for generating long-form theorem explanation videos (over 5 minutes) using Manim animations. To systematically evaluate multimodal theorem explanations, we propose TheoremExplainBench, a benchmark covering 240 theorems across multiple STEM disciplines, along with 5 automated evaluation metrics. Our results reveal that agentic planning is essential for generating detailed long-form videos, and the o3-mini agent achieves a success rate of 93.8% and an overall score of 0.77. However, our quantitative and qualitative studies show that most of the videos produced exhibit minor issues with visual element layout. Furthermore, multimodal explanations expose deeper reasoning flaws that text-based explanations fail to reveal, highlighting the importance of multimodal explanations.
format Preprint
id arxiv_https___arxiv_org_abs_2502_19400
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle TheoremExplainAgent: Towards Video-based Multimodal Explanations for LLM Theorem Understanding
Ku, Max
Chong, Thomas
Leung, Jonathan
Shah, Krish
Yu, Alvin
Chen, Wenhu
Artificial Intelligence
Computation and Language
Computer Vision and Pattern Recognition
Multimedia
Understanding domain-specific theorems often requires more than just text-based reasoning; effective communication through structured visual explanations is crucial for deeper comprehension. While large language models (LLMs) demonstrate strong performance in text-based theorem reasoning, their ability to generate coherent and pedagogically meaningful visual explanations remains an open challenge. In this work, we introduce TheoremExplainAgent, an agentic approach for generating long-form theorem explanation videos (over 5 minutes) using Manim animations. To systematically evaluate multimodal theorem explanations, we propose TheoremExplainBench, a benchmark covering 240 theorems across multiple STEM disciplines, along with 5 automated evaluation metrics. Our results reveal that agentic planning is essential for generating detailed long-form videos, and the o3-mini agent achieves a success rate of 93.8% and an overall score of 0.77. However, our quantitative and qualitative studies show that most of the videos produced exhibit minor issues with visual element layout. Furthermore, multimodal explanations expose deeper reasoning flaws that text-based explanations fail to reveal, highlighting the importance of multimodal explanations.
title TheoremExplainAgent: Towards Video-based Multimodal Explanations for LLM Theorem Understanding
topic Artificial Intelligence
Computation and Language
Computer Vision and Pattern Recognition
Multimedia
url https://arxiv.org/abs/2502.19400