GeoEval: Benchmark for Evaluating LLMs and Multi-Modal Models on Geometry Problem-Solving

Fuente: arXiv
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Main Authors: Zhang, Jiaxin, Li, Zhongzhi, Zhang, Mingliang, Yin, Fei, Liu, Chenglin, Moshfeghi, Yashar
Format: Preprint
Published: 2024
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author Zhang, Jiaxin
Li, Zhongzhi
Zhang, Mingliang
Yin, Fei
Liu, Chenglin
Moshfeghi, Yashar
author_facet Zhang, Jiaxin
Li, Zhongzhi
Zhang, Mingliang
Yin, Fei
Liu, Chenglin
Moshfeghi, Yashar
contents Recent advancements in large language models (LLMs) and multi-modal models (MMs) have demonstrated their remarkable capabilities in problem-solving. Yet, their proficiency in tackling geometry math problems, which necessitates an integrated understanding of both textual and visual information, has not been thoroughly evaluated. To address this gap, we introduce the GeoEval benchmark, a comprehensive collection that includes a main subset of 2,000 problems, a 750 problems subset focusing on backward reasoning, an augmented subset of 2,000 problems, and a hard subset of 300 problems. This benchmark facilitates a deeper investigation into the performance of LLMs and MMs in solving geometry math problems. Our evaluation of ten LLMs and MMs across these varied subsets reveals that the WizardMath model excels, achieving a 55.67\% accuracy rate on the main subset but only a 6.00\% accuracy on the hard subset. This highlights the critical need for testing models against datasets on which they have not been pre-trained. Additionally, our findings indicate that GPT-series models perform more effectively on problems they have rephrased, suggesting a promising method for enhancing model capabilities.
format Preprint
id arxiv_https___arxiv_org_abs_2402_10104
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle GeoEval: Benchmark for Evaluating LLMs and Multi-Modal Models on Geometry Problem-Solving
Zhang, Jiaxin
Li, Zhongzhi
Zhang, Mingliang
Yin, Fei
Liu, Chenglin
Moshfeghi, Yashar
Artificial Intelligence
Computation and Language
Recent advancements in large language models (LLMs) and multi-modal models (MMs) have demonstrated their remarkable capabilities in problem-solving. Yet, their proficiency in tackling geometry math problems, which necessitates an integrated understanding of both textual and visual information, has not been thoroughly evaluated. To address this gap, we introduce the GeoEval benchmark, a comprehensive collection that includes a main subset of 2,000 problems, a 750 problems subset focusing on backward reasoning, an augmented subset of 2,000 problems, and a hard subset of 300 problems. This benchmark facilitates a deeper investigation into the performance of LLMs and MMs in solving geometry math problems. Our evaluation of ten LLMs and MMs across these varied subsets reveals that the WizardMath model excels, achieving a 55.67\% accuracy rate on the main subset but only a 6.00\% accuracy on the hard subset. This highlights the critical need for testing models against datasets on which they have not been pre-trained. Additionally, our findings indicate that GPT-series models perform more effectively on problems they have rephrased, suggesting a promising method for enhancing model capabilities.
title GeoEval: Benchmark for Evaluating LLMs and Multi-Modal Models on Geometry Problem-Solving
topic Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2402.10104