mlsanityData to 14 Oct 2026

A Survey of Deep Learning for Geometry Problem Solving

arXiv 2507.11936 ↗First posted 16 Jul 2025cs.CL cs.AI cs.CVcited by 4

On the map: LLM reasoning → Spatial and embodied reasoning

Abstract (arXiv)

Geometry problem solving, a crucial aspect of mathematical reasoning, is vital across various domains, including education, the assessment of AI's mathematical abilities, and multimodal capability evaluation. The recent surge in deep learning technologies, particularly the emergence of multimodal large language models, has significantly accelerated research in this area. This paper presents a survey of the applications of deep learning in geometry problem solving, including (i) a comprehensive summary of the relevant tasks in geometry problem solving; (ii) a thorough review of related deep learning methods; (iii) a detailed analysis of evaluation metrics and methods; and (iv) a critical discussion of state-of-the-art performance, existing challenges, and promising future directions. Our objective is to offer a comprehensive and practical reference of deep learning for geometry problem solving, thereby fostering further advancements in this field. We maintain a list of relevant papers: https://github.com/majianz/dl4gps.

Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Placed in Spatial and embodied reasoning, one of 17 directions in LLM reasoning. Builds on 156 of its 301 references that are in the map. First posted on arXiv 16 Jul 2025.

Builds on

156 of 301 references.

Closest ancestors · 19

Same direction, newest first

  1. 2025Towards Geometry Problem Solving in the Large Model Era: A Survey3 Jun
  2. 2025Plane Geometry Problem Solving with Multi-modal Reasoning: A Survey20 May
  3. 2025Enhancing the Geometric Problem-Solving Ability of Multimodal LLMs via Symbolic-Neural Integration17 Apr
  4. 2024Slow Perception: Let's Perceive Geometric Figures Step-by-step30 Dec
  5. 2024Proposing and solving olympiad geometry with guided tree search14 Dec
  6. 2024Geo-LLaVA: A Large Multi-Modal Model for Solving Geometry Math Problems with Meta In-Context Learning12 Dec
  7. 2024Improving Multimodal LLMs Ability In Geometry Problem Solving, Reasoning, And Multistep Scoring1 Dec
  8. 2024GeoCoder: Solving Geometry Problems by Generating Modular Code through Vision-Language Models17 Oct
  9. 2024Diagram Formalization Enhanced Multi-Modal Geometry Problem Solver6 Sep
  10. 2024AutoGeo: Automating Geometric Image Dataset Creation for Enhanced Geometry Understanding28 Aug
  11. 2024EAGLE: Elevating Geometric Reasoning through LLM-empowered Visual Instruction Tuning21 Aug
  12. 2024Fuse, Reason and Verify: Geometry Problem Solving with Parsed Clauses from Diagram10 Jul
7 more
  1. 2024Learning to Solve Geometry Problems via Simulating Human Dual-Reasoning Process10 May
  2. 2024FGeo-HyperGNet: Geometric Problem Solving Integrating FormalGeo Symbolic System and Hypergraph Neural Network18 Feb
  3. 2023GeomVerse: A Systematic Evaluation of Large Models for Geometric Reasoning19 Dec
  4. 2023LANS: A Layout-Aware Neural Solver for Plane Geometry Problem25 Nov
  5. 2023A Multi-Modal Neural Geometric Solver with Textual Clauses Parsed from Diagram22 Feb
  6. 2022EuclidNet: Deep Visual Reasoning for Constructible Problems in Geometry27 Dec
  7. 2022UniGeo: Unifying Geometry Logical Reasoning via Reformulating Mathematical Expression6 Dec

Other references · 137

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38 more
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  3. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
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  38. 2024MAmmoTH-VL: Eliciting Multimodal Reasoning with Instruction Tuning at Scalecited by 127

50 most cited of 137 All 137 (JSON)

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 1; 2026: 3.

4 papers.

  1. 2025DynaSolidGeo: A Dynamic Benchmark for Genuine Spatial Mathematical Reasoning of VLMs in Solid Geometrycited by 1
  2. 2026Geoparsing: Diagram Parsing for Plane and Solid Geometry with a Unified Formal Languagecited by 1
  3. 2026Draw2Think: Harnessing Geometry Reasoning through Constraint Engine Interactioncited by 0
  4. 2026Euclid-Omni : A Unified Neuro-Symbolic Framework for Plane Geometrycited by 0

Similar, not cited

Close in wording, no citation either way

  1. 2025GeoThought: A Dataset for Enhancing Mathematical Geometry Reasoning in Vision-Language Models
  2. 2025AutoGPS: Automated Geometry Problem Solving via Multimodal Formalization and Deductive Reasoning
  3. 2025GeoBench: Rethinking Multimodal Geometric Problem-Solving via Hierarchical Evaluation
  4. 2024GeoX: Geometric Problem Solving Through Unified Formalized Vision-Language Pre-training
  5. 2023G-LLaVA: Solving Geometric Problem with Multi-Modal Large Language Model
  6. 2026GeoMathCode: Understanding Interleaved Math-Code Reasoning for Geometry Problem Solving
  7. 2025GeoSense: Evaluating Identification and Application of Geometric Principles in Multimodal Reasoning
  8. 2024Incorporating Graph Attention Mechanism into Geometric Problem Solving Based on Deep Reinforcement Learning