G-LLaVA: Solving Geometric Problem with Multi-Modal Large Language Model

Fuente: arXiv
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Autori principali: Gao, Jiahui, Pi, Renjie, Zhang, Jipeng, Ye, Jiacheng, Zhong, Wanjun, Wang, Yufei, Hong, Lanqing, Han, Jianhua, Xu, Hang, Li, Zhenguo, Kong, Lingpeng
Natura: Preprint
Pubblicazione: 2023
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author Gao, Jiahui
Pi, Renjie
Zhang, Jipeng
Ye, Jiacheng
Zhong, Wanjun
Wang, Yufei
Hong, Lanqing
Han, Jianhua
Xu, Hang
Li, Zhenguo
Kong, Lingpeng
author_facet Gao, Jiahui
Pi, Renjie
Zhang, Jipeng
Ye, Jiacheng
Zhong, Wanjun
Wang, Yufei
Hong, Lanqing
Han, Jianhua
Xu, Hang
Li, Zhenguo
Kong, Lingpeng
contents Large language models (LLMs) have shown remarkable proficiency in human-level reasoning and generation capabilities, which encourages extensive research on their application in mathematical problem solving. However, current work has been largely focused on text-based mathematical problems, with limited investigation in problems involving geometric information. Addressing this gap, we aim to enable LLMs to solve geometric problems by understanding image input. We first analyze the limitations of current Multimodal Large Language Models (MLLMs) in this area: they struggle to accurately comprehending basic geometric elements and their relationships. To overcome these challenges, we take advantage of the unique characteristics of geometric problems (such as unique geometric logical form, and geometric scalability) and the capacity of the textual LLMs to build an enriched multimodal geometry dataset based on existing data. The augmented dataset, Geo170K, contains more than 170K geometric image-caption and question-answer pairs. Utilizing our constructed Geo170K dataset, we develop G-LLaVA, which demonstrates exceptional performance in solving geometric problems, significantly outperforming GPT-4-V on the MathVista benchmark with only 7B parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2312_11370
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle G-LLaVA: Solving Geometric Problem with Multi-Modal Large Language Model
Gao, Jiahui
Pi, Renjie
Zhang, Jipeng
Ye, Jiacheng
Zhong, Wanjun
Wang, Yufei
Hong, Lanqing
Han, Jianhua
Xu, Hang
Li, Zhenguo
Kong, Lingpeng
Computation and Language
Large language models (LLMs) have shown remarkable proficiency in human-level reasoning and generation capabilities, which encourages extensive research on their application in mathematical problem solving. However, current work has been largely focused on text-based mathematical problems, with limited investigation in problems involving geometric information. Addressing this gap, we aim to enable LLMs to solve geometric problems by understanding image input. We first analyze the limitations of current Multimodal Large Language Models (MLLMs) in this area: they struggle to accurately comprehending basic geometric elements and their relationships. To overcome these challenges, we take advantage of the unique characteristics of geometric problems (such as unique geometric logical form, and geometric scalability) and the capacity of the textual LLMs to build an enriched multimodal geometry dataset based on existing data. The augmented dataset, Geo170K, contains more than 170K geometric image-caption and question-answer pairs. Utilizing our constructed Geo170K dataset, we develop G-LLaVA, which demonstrates exceptional performance in solving geometric problems, significantly outperforming GPT-4-V on the MathVista benchmark with only 7B parameters.
title G-LLaVA: Solving Geometric Problem with Multi-Modal Large Language Model
topic Computation and Language
url https://arxiv.org/abs/2312.11370