Papers › GAPS: Geometry-Aware Problem Solver
GAPS: Geometry-Aware Problem Solver
Jiaxin Zhang, Yinghui Jiang, Yashar Moshfeghi
Geometry problem solving presents a formidable challenge within the NLP community. Existing approaches often rely on models designed for solving math word problems, neglecting the unique characteristics of geometry math problems. Additionally, the current research predominantly focuses on geometry calculation problems, while overlooking other essential aspects like proving. In this study, we address these limitations by proposing the Geometry-Aware Problem Solver (GAPS) model. GAPS is specifically designed to generate solution programs for geometry math problems of various types with the help of its unique problem-type classifier. To achieve this, GAPS treats the solution program as a composition of operators and operands, segregating their generation processes. Furthermore, we introduce the geometry elements enhancement method, which enhances the ability of GAPS to recognize geometry elements accurately. By leveraging these improvements, GAPS showcases remarkable performance in resolving geometry math problems. Our experiments conducted on the UniGeo dataset demonstrate the superiority of GAPS over the state-of-the-art model, Geoformer. Specifically, GAPS achieves an accuracy improvement of more than 5.3% for calculation tasks and an impressive 41.1% for proving tasks. Notably, GAPS achieves an impressive accuracy of 97.5% on proving problems, representing a significant advancement in solving geometry proving tasks.
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Tasks
Results from the paper archive 2025-07-28
| Task | Dataset | Model | Metric | Value | Rank at snapshot | Leaderboard | Report |
|---|---|---|---|---|---|---|---|
| Mathematical Question Answering | Geometry3K | GAPS | Accuracy (%) | 68.0 | #5 of 8 | Archive leaderboard | report |
| Mathematical Reasoning | GeoQA | GAPS | Accuracy (%) | 67.8 | #2 of 2 | Archive leaderboard | report |
| Mathematical Reasoning | PGPS9K | GAPS | Completion accuracy | 61.2 | #3 of 6 | Archive leaderboard | report |
| Mathematical Reasoning | UniGeo (PRV) | GAPS | Accuracy (%) | 97.5 | #1 of 1 | Archive leaderboard | report |
Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.
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