Papers › A Multi-Modal Neural Geometric Solver with Textual Clauses Parsed from Diagram

A Multi-Modal Neural Geometric Solver with Textual Clauses Parsed from Diagram

22 Feb 2023arXiv:2302.11097archive 2025-07-28

Ming-Liang Zhang, Fei Yin, Cheng-Lin Liu

Geometry problem solving (GPS) is a high-level mathematical reasoning requiring the capacities of multi-modal fusion and geometric knowledge application. Recently, neural solvers have shown great potential in GPS but still be short in diagram presentation and modal fusion. In this work, we convert diagrams into basic textual clauses to describe diagram features effectively, and propose a new neural solver called PGPSNet to fuse multi-modal information efficiently. Combining structural and semantic pre-training, data augmentation and self-limited decoding, PGPSNet is endowed with rich knowledge of geometry theorems and geometric representation, and therefore promotes geometric understanding and reasoning. In addition, to facilitate the research of GPS, we build a new large-scale and fine-annotated GPS dataset named PGPS9K, labeled with both fine-grained diagram annotation and interpretable solution program. Experiments on PGPS9K and an existing dataset Geometry3K validate the superiority of our method over the state-of-the-art neural solvers. Our code, dataset and appendix material are available at \url{https://github.com/mingliangzhang2018/PGPS}.

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GenerateNode mingliangzhang2018/PGPS/model/decoder/tree_decoder.py official repository ran MIT (permissive) · d36e8b1433fbe304 · report
TreeBeam mingliangzhang2018/PGPS/model/decoder/tree_decoder.py official repository ran MIT (permissive) · 8de4ad59f328030a · report
TreeEmbedding mingliangzhang2018/PGPS/model/decoder/tree_decoder.py official repository ran MIT (permissive) · 21ef793e8c9fb8d9 · report
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Tasks

Geometry Problem SolvingMathematical Reasoning

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PGPS9K

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Mathematical Reasoning PGPS9K PGPSNet Completion accuracy 62.7 #2 of 6 Archive leaderboard report

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