GOLD: Geometry Problem Solver with Natural Language Description

Fuente: arXiv
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Autori principali: Zhang, Jiaxin, Moshfeghi, Yashar
Natura: Preprint
Pubblicazione: 2024
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author Zhang, Jiaxin
Moshfeghi, Yashar
author_facet Zhang, Jiaxin
Moshfeghi, Yashar
contents Addressing the challenge of automated geometry math problem-solving in artificial intelligence (AI) involves understanding multi-modal information and mathematics. Current methods struggle with accurately interpreting geometry diagrams, which hinders effective problem-solving. To tackle this issue, we present the Geometry problem sOlver with natural Language Description (GOLD) model. GOLD enhances the extraction of geometric relations by separately processing symbols and geometric primitives within the diagram. Subsequently, it converts the extracted relations into natural language descriptions, efficiently utilizing large language models to solve geometry math problems. Experiments show that the GOLD model outperforms the Geoformer model, the previous best method on the UniGeo dataset, by achieving accuracy improvements of 12.7% and 42.1% in calculation and proving subsets. Additionally, it surpasses the former best model on the PGPS9K and Geometry3K datasets, PGPSNet, by obtaining accuracy enhancements of 1.8% and 3.2%, respectively.
format Preprint
id arxiv_https___arxiv_org_abs_2405_00494
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle GOLD: Geometry Problem Solver with Natural Language Description
Zhang, Jiaxin
Moshfeghi, Yashar
Artificial Intelligence
Computation and Language
Addressing the challenge of automated geometry math problem-solving in artificial intelligence (AI) involves understanding multi-modal information and mathematics. Current methods struggle with accurately interpreting geometry diagrams, which hinders effective problem-solving. To tackle this issue, we present the Geometry problem sOlver with natural Language Description (GOLD) model. GOLD enhances the extraction of geometric relations by separately processing symbols and geometric primitives within the diagram. Subsequently, it converts the extracted relations into natural language descriptions, efficiently utilizing large language models to solve geometry math problems. Experiments show that the GOLD model outperforms the Geoformer model, the previous best method on the UniGeo dataset, by achieving accuracy improvements of 12.7% and 42.1% in calculation and proving subsets. Additionally, it surpasses the former best model on the PGPS9K and Geometry3K datasets, PGPSNet, by obtaining accuracy enhancements of 1.8% and 3.2%, respectively.
title GOLD: Geometry Problem Solver with Natural Language Description
topic Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2405.00494