GeoPQA: Bridging the Visual Perception Gap in MLLMs for Geometric Reasoning
On the map: LLM reasoning → Spatial and embodied reasoning
Abstract (arXiv)
Recent advancements in reinforcement learning (RL) have enhanced the reasoning abilities of large language models (LLMs), yet the impact on multimodal LLMs (MLLMs) is limited. Particularly in vision-intensive tasks like geometric reasoning, MLLMs hallucinate frequently, leading to inaccurate reasoning. We attribute this to the perceptual bottleneck in MLLMs, which caps the benefits of reasoning training. To quantify this, we design a Geo-Perception Question-Answering (GeoPQA) benchmark, targeting basic geometric concepts and spatial relationships. Experiments on GeoPQA reveal significant shortcomings of MLLMs in visual perception, which constrain RL reward signals for effective training. To address this bottleneck, we propose a two-stage RL training framework by first enhancing the visual perception of geometric structures, then fostering reasoning capabilities. Applied to Qwen2.5-VL-3B-Instruct, our two-stage training improves geometric reasoning by 9.7% and geometric problem solving by 9.1%, compared to the direct reasoning training approach. Our method also generalizes to other vision-intensive domains like figure understanding, highlighting the importance of perceptual grounding in effective MLLM reasoning.
Key facts. Cited by 8 papers in the map (data through 14 Oct 2026). Placed in Spatial and embodied reasoning, one of 17 directions in LLM reasoning. Builds on 18 of its 32 references that are in the map. First posted on arXiv 22 Sep 2025.
Builds on
18 of 32 references.
References · 18
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,330
- 2025Qwen2.5-VL Technical Reportcited by 5,587
- 2023AutoGen: Enabling Next-Gen LLM Applications via Multi-Agent Conversationcited by 1,988
- 2024Expanding Performance Boundaries of Open-Source Multimodal Models with Model, Data, and Test-Time Scalingcited by 1,599
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- 2025VLM-R1: A Stable and Generalizable R1-style Large Vision-Language Modelcited by 526
- 2025Kimi-VL Technical Reportcited by 388
- 2025Seed1.5-VL Technical Reportcited by 373
- 2025R1-Onevision: Advancing Generalized Multimodal Reasoning through Cross-Modal Formalizationcited by 370
- 2024InternLM-XComposer2: Mastering Free-form Text-Image Composition and Comprehension in Vision-Language Large Modelcited by 326
6 more
- 2025Lingshu: A Generalist Foundation Model for Unified Multimodal Medical Understanding and Reasoningcited by 230
- 2025Thinking with Images for Multimodal Reasoning: Foundations, Methods, and Future Frontierscited by 199
- 2024VisOnlyQA: Large Vision Language Models Still Struggle with Visual Perception of Geometric Informationcited by 39
- 2025VL-Cogito: Progressive Curriculum Reinforcement Learning for Advanced Multimodal Reasoningcited by 26
- 2024Euclid: Supercharging Multimodal LLMs with Synthetic High-Fidelity Visual Descriptionscited by 13
- 2024VisAidMath: Benchmarking Visual-Aided Mathematical Reasoningcited by 9
Built on by
Citing papers per year: 2025: 5; 2026: 3.
8 papers.
- 2025MMR1: Enhancing Multimodal Reasoning with Variance-Aware Sampling and Open Resourcescited by 39
- 2025Scaling Language-Centric Omnimodal Representation Learningcited by 22
- 2026Credit Where It is Due: Cross-Modality Connectivity Drives Precise Reinforcement Learning for MLLM Reasoningcited by 6
- 2025ReasonX: MLLM-Guided Intrinsic Image Decompositioncited by 5
- 2025Learning When to Look: A Disentangled Curriculum for Strategic Perception in Multimodal Reasoningcited by 5
- 2026GeoTikzBridge: Advancing Multimodal Code Generation for Geometric Perception and Reasoningcited by 3
- 2025Blink: Dynamic Visual Token Resolution for Enhanced Multimodal Understandingcited by 2
- 2026Med-Scout: Curing MLLMs' Geometric Blindness in Medical Perception via Geometry-Aware RL Post-Trainingcited by 2
- 2026GeoTikzBridge: Advancing Multimodal Code Generation for Geometric Perception and Reasoning24 Mar 2026
- 2026Credit Where It is Due: Cross-Modality Connectivity Drives Precise Reinforcement Learning for MLLM Reasoning12 Feb 2026
- 2026Med-Scout: Curing MLLMs' Geometric Blindness in Medical Perception via Geometry-Aware RL Post-Training30 Jan 2026
- 2025Learning When to Look: A Disentangled Curriculum for Strategic Perception in Multimodal Reasoning19 Dec 2025
- 2025Blink: Dynamic Visual Token Resolution for Enhanced Multimodal Understanding11 Dec 2025
- 2025ReasonX: MLLM-Guided Intrinsic Image Decomposition3 Dec 2025
- 2025Scaling Language-Centric Omnimodal Representation Learning13 Oct 2025
- 2025MMR1: Enhancing Multimodal Reasoning with Variance-Aware Sampling and Open Resources25 Sep 2025
Similar, not cited
Close in wording, no citation either way
- 2026Enhancing Geometric Perception in VLMs via Translator-Guided Reinforcement Learning
- 2025SVQA-R1: Reinforcing Spatial Reasoning in MLLMs via View-Consistent Reward Optimization
- 2026Reinforcing Dual-Path Reasoning in Spatial Vision Language Models
- 2025GeoThought: A Dataset for Enhancing Mathematical Geometry Reasoning in Vision-Language Models
- 2025GeoBench: Rethinking Multimodal Geometric Problem-Solving via Hierarchical Evaluation
- 2024EAGLE: Elevating Geometric Reasoning through LLM-empowered Visual Instruction Tuning
- 2026Make Geometry Matter for Spatial Reasoning
- 2025CapGeo-Bench: Decoupling Visual Perception from Reasoning and Evaluating Geometric Understanding