MM-PRM: Enhancing Multimodal Mathematical Reasoning with Scalable Step-Level Supervision
On the map: LLM reasoning → Multimodal reasoning
Abstract (arXiv)
While Multimodal Large Language Models (MLLMs) have achieved impressive progress in vision-language understanding, they still struggle with complex multi-step reasoning, often producing logically inconsistent or partially correct solutions. A key limitation lies in the lack of fine-grained supervision over intermediate reasoning steps. To address this, we propose MM-PRM, a process reward model trained within a fully automated, scalable framework. We first build MM-Policy, a strong multimodal model trained on diverse mathematical reasoning data. Then, we construct MM-K12, a curated dataset of 10,000 multimodal math problems with verifiable answers, which serves as seed data. Leveraging a Monte Carlo Tree Search (MCTS)-based pipeline, we generate over 700k step-level annotations without human labeling. The resulting PRM is used to score candidate reasoning paths in the Best-of-N inference setup and achieves significant improvements across both in-domain (MM-K12 test set) and out-of-domain (OlympiadBench, MathVista, etc.) benchmarks. Further analysis confirms the effectiveness of soft labels, smaller learning rates, and path diversity in optimizing PRM performance. MM-PRM demonstrates that process supervision is a powerful tool for enhancing the logical robustness of multimodal reasoning systems. We release all our codes and data at https://github.com/ModalMinds/MM-PRM.
Key facts. Cited by 28 papers in the map (data through 7 Oct 2026). Placed in Multimodal reasoning, one of 17 directions in LLM reasoning. Builds on 45 of its 65 references that are in the map. First posted on arXiv 19 May 2025.
Builds on
45 of 65 references.
Closest ancestors · 9
Same direction, newest first
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- 2024Expanding Performance Boundaries of Open-Source Multimodal Models with Model, Data, and Test-Time Scaling6 Dec
- 2024Enhancing the Reasoning Ability of Multimodal Large Language Models via Mixed Preference Optimization15 Nov
- 2024MultiMath: Bridging Visual and Mathematical Reasoning for Large Language Models30 Aug
- 2024MAVIS: Mathematical Visual Instruction Tuning with an Automatic Data Engine11 Jul
- 2024Multimodal Self-Instruct: Synthetic Abstract Image and Visual Reasoning Instruction Using Language Model9 Jul
- 2024Math-LLaVA: Bootstrapping Mathematical Reasoning for Multimodal Large Language Models25 Jun
- 2023MathVista: Evaluating Mathematical Reasoning of Foundation Models in Visual Contexts3 Oct
Other references · 36
- 2023GPT-4 Technical Reportcited by 18,132
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- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,146
- 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,601
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
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- 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,099
- 2024MiniCPM-V: A GPT-4V Level MLLM on Your Phonecited by 1,061
- 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotationscited by 895
- 2022Solving math word problems with process- and outcome-based feedbackcited by 871
- 2023Gemini: A Family of Highly Capable Multimodal Modelscited by 810
- 2019MathQA: Towards Interpretable Math Word Problem Solving with Operation-Based Formalismscited by 653
- 2023MAmmoTH: Building Math Generalist Models through Hybrid Instruction Tuningcited by 483
- 2024Improve Mathematical Reasoning in Language Models by Automated Process Supervisioncited by 426
- 2025The Lessons of Developing Process Reward Models in Mathematical Reasoningcited by 402
- 2024InternLM2 Technical Reportcited by 391
- 2023Alphazero-like Tree-Search can Guide Large Language Model Decoding and Trainingcited by 291
- 2024RLHF Workflow: From Reward Modeling to Online RLHFcited by 265
- 2024Step-DPO: Step-wise Preference Optimization for Long-chain Reasoning of LLMscited by 265
- 2022Making Large Language Models Better Reasoners with Step-Aware Verifiercited by 231
- 2024Multimodal ArXiv: A Dataset for Improving Scientific Comprehension of Large Vision-Language Modelscited by 138
- 2023Let's reward step by step: Step-Level reward model as the Navigators for Reasoningcited by 96
- 2024OpenR: An Open Source Framework for Advanced Reasoning with Large Language Modelscited by 92
- 2023OVM, Outcome-supervised Value Models for Planning in Mathematical Reasoningcited by 84
- 2024Multi-step Problem Solving Through a Verifier: An Empirical Analysis on Model-induced Process Supervisioncited by 51
- 2024MindStar: Enhancing Math Reasoning in Pre-trained LLMs at Inference Timecited by 40
- 2024Theorem-Validated Reverse Chain-of-Thought Problem Generation for Geometric Reasoningcited by 32
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Citing papers per year: 2025: 10; 2026: 18.
28 papers.
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- 2025A Survey of Process Reward Models: From Outcome Signals to Process Supervisions for Large Language Modelscited by 37
- 2025From Perception to Cognition: A Survey of Vision-Language Interactive Reasoning in Multimodal Large Language Modelscited by 26
- 2025A Survey on Agentic Multimodal Large Language Modelscited by 19
- 2025GM-PRM: A Generative Multimodal Process Reward Model for Multimodal Mathematical Reasoningcited by 13
- 2025Training Vision-Language Process Reward Models for Test-Time Scaling in Multimodal Reasoning: Key Insights and Lessons Learnedcited by 12
- 2025VRPRM: Process Reward Modeling via Visual Reasoningcited by 11
- 2025TIM-PRM: Verifying multimodal reasoning with Tool-Integrated PRMcited by 8
- 2025VisioMath: Benchmarking Figure-based Mathematical Reasoning in LMMscited by 6
- 2025StructVRM: Aligning Multimodal Reasoning with Structured and Verifiable Reward Modelscited by 6
- 2026Unified Generation and Self-Verification for Vision-Language Models via Advantage Decoupled Preference Optimizationcited by 5
- 2026PaLMR: Towards Faithful Visual Reasoning via Multimodal Process Alignmentcited by 5
- 2025Adversarial Training for Process Reward Modelscited by 3
16 more
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- 2026Granularity-Regulated Adaptive Computational Efficiency for Optimal Verification in Test-Time Scalingcited by 1
- 2026VeriBound: PAC-Bayesian Generalization Bounds for Process Reward Models Trained with Formal Verification Toolscited by 1
- 2026Guided Verifier: Collaborative Multimodal Reasoning via Dynamic Process Supervisioncited by 0
- 2026A Survey of Multimodal Mathematical Reasoning: From Perception, Alignment to Reasoningcited by 0
- 2026Process Rewards with Learned Reliabilitycited by 0
- 2026A Nash Equilibrium Framework For Training-Free Multimodal Step Verificationcited by 0
- 2026IVR-R1: Refining Trajectories through Iterative Visual-Grounded Reasoning in Reinforcement Learningcited by 0
- 2026ProcessThinker: Enhancing Multi-modal Large Language Models Reasoning via Rollout-based Process Rewardcited by 0
- 2026Before Thinking, Learn to Decide: Proactive Routing for Efficient Visual Reasoningcited by 0
- 2026VERDICT: Training-Free Step-Wise Verification of Multimodal Reasoning via Disagreement-Aware Consensuscited by 0
- 2026V-Rubrics: Visual Faithfulness via Rubric-Based Reinforcement Learningcited by 0
- 2026HaPRL: Human-Anchored Process Reinforcement Learning for Visual Search Agentcited by 0
- 2026SPLIT-RL: Staged Perception-Language Reasoning Training with Claim-Level Advantagescited by 0
- 2026SPLIT-RL: Staged Perception-Language Reasoning Training with Claim-Level Advantages7 Oct 2026
- 2026HaPRL: Human-Anchored Process Reinforcement Learning for Visual Search Agent29 Sep 2026
- 2026V-Rubrics: Visual Faithfulness via Rubric-Based Reinforcement Learning26 Aug 2026
- 2026VERDICT: Training-Free Step-Wise Verification of Multimodal Reasoning via Disagreement-Aware Consensus11 Aug 2026
- 2026Before Thinking, Learn to Decide: Proactive Routing for Efficient Visual Reasoning29 Jun 2026
- 2026VeriBound: PAC-Bayesian Generalization Bounds for Process Reward Models Trained with Formal Verification Tools17 Jun 2026
- 2026A Nash Equilibrium Framework For Training-Free Multimodal Step Verification19 May 2026
- 2026IVR-R1: Refining Trajectories through Iterative Visual-Grounded Reasoning in Reinforcement Learning18 May 2026
- 2026PAGER: Bridging the Semantic-Execution Gap in Point-Precise Geometric GUI Control15 May 2026
- 2026Process Rewards with Learned Reliability15 May 2026
- 2026Granularity-Regulated Adaptive Computational Efficiency for Optimal Verification in Test-Time Scaling28 Apr 2026
- 2026ProcessThinker: Enhancing Multi-modal Large Language Models Reasoning via Rollout-based Process Reward23 Apr 2026
16 more
- 2026A Survey of Multimodal Mathematical Reasoning: From Perception, Alignment to Reasoning9 Mar 2026
- 2026PaLMR: Towards Faithful Visual Reasoning via Multimodal Process Alignment28 Feb 2026
- 2026Advancing Multimodal Judge Models through a Capability-Oriented Benchmark and MCTS-Driven Data Generation28 Feb 2026
- 2026Guided Verifier: Collaborative Multimodal Reasoning via Dynamic Process Supervision4 Feb 2026
- 2026Training Data Efficiency in Multimodal Process Reward Models4 Feb 2026
- 2026Unified Generation and Self-Verification for Vision-Language Models via Advantage Decoupled Preference Optimization4 Jan 2026
- 2025TIM-PRM: Verifying multimodal reasoning with Tool-Integrated PRM28 Nov 2025
- 2025Adversarial Training for Process Reward Models28 Nov 2025
- 2025A Survey on Agentic Multimodal Large Language Models13 Oct 2025
- 2025A Survey of Process Reward Models: From Outcome Signals to Process Supervisions for Large Language Models9 Oct 2025
- 2025From Perception to Cognition: A Survey of Vision-Language Interactive Reasoning in Multimodal Large Language Models29 Sep 2025
- 2025Training Vision-Language Process Reward Models for Test-Time Scaling in Multimodal Reasoning: Key Insights and Lessons Learned27 Sep 2025
- 2025StructVRM: Aligning Multimodal Reasoning with Structured and Verifiable Reward Models7 Aug 2025
- 2025GM-PRM: A Generative Multimodal Process Reward Model for Multimodal Mathematical Reasoning6 Aug 2025
- 2025VRPRM: Process Reward Modeling via Visual Reasoning5 Aug 2025
- 2025VisioMath: Benchmarking Figure-based Mathematical Reasoning in LMMs7 Jun 2025
- 2025A Survey of Process Reward Models: From Outcome Signals to Process Supervisions for Large Language Modelscited by 37
- 2025From Perception to Cognition: A Survey of Vision-Language Interactive Reasoning in Multimodal Large Language Modelscited by 26
- 2025GM-PRM: A Generative Multimodal Process Reward Model for Multimodal Mathematical Reasoningcited by 13
- 2025Training Vision-Language Process Reward Models for Test-Time Scaling in Multimodal Reasoning: Key Insights and Lessons Learnedcited by 12
- 2025VRPRM: Process Reward Modeling via Visual Reasoningcited by 11
- 2025TIM-PRM: Verifying multimodal reasoning with Tool-Integrated PRMcited by 8
- 2025VisioMath: Benchmarking Figure-based Mathematical Reasoning in LMMscited by 6
- 2025StructVRM: Aligning Multimodal Reasoning with Structured and Verifiable Reward Modelscited by 6
- 2026Unified Generation and Self-Verification for Vision-Language Models via Advantage Decoupled Preference Optimizationcited by 5
- 2026PaLMR: Towards Faithful Visual Reasoning via Multimodal Process Alignmentcited by 5
- 2025Adversarial Training for Process Reward Modelscited by 3
- 2026Training Data Efficiency in Multimodal Process Reward Modelscited by 1
12 most cited of 23 All 23 (JSON)
- 2026SPLIT-RL: Staged Perception-Language Reasoning Training with Claim-Level Advantages7 Oct 2026
- 2026VERDICT: Training-Free Step-Wise Verification of Multimodal Reasoning via Disagreement-Aware Consensus11 Aug 2026
- 2026Before Thinking, Learn to Decide: Proactive Routing for Efficient Visual Reasoning29 Jun 2026
- 2026VeriBound: PAC-Bayesian Generalization Bounds for Process Reward Models Trained with Formal Verification Tools17 Jun 2026
- 2026A Nash Equilibrium Framework For Training-Free Multimodal Step Verification19 May 2026
- 2026IVR-R1: Refining Trajectories through Iterative Visual-Grounded Reasoning in Reinforcement Learning18 May 2026
- 2026Process Rewards with Learned Reliability15 May 2026
- 2026Granularity-Regulated Adaptive Computational Efficiency for Optimal Verification in Test-Time Scaling28 Apr 2026
- 2026ProcessThinker: Enhancing Multi-modal Large Language Models Reasoning via Rollout-based Process Reward23 Apr 2026
- 2026A Survey of Multimodal Mathematical Reasoning: From Perception, Alignment to Reasoning9 Mar 2026
- 2026PaLMR: Towards Faithful Visual Reasoning via Multimodal Process Alignment28 Feb 2026
- 2026Guided Verifier: Collaborative Multimodal Reasoning via Dynamic Process Supervision4 Feb 2026
12 newest of 23 All 23 (JSON)
- 2025A Survey on Agentic Multimodal Large Language Modelscited by 19
- 2026Advancing Multimodal Judge Models through a Capability-Oriented Benchmark and MCTS-Driven Data Generationcited by 3
- 2026PAGER: Bridging the Semantic-Execution Gap in Point-Precise Geometric GUI Controlcited by 1
- 2026V-Rubrics: Visual Faithfulness via Rubric-Based Reinforcement Learningcited by 0
- 2026V-Rubrics: Visual Faithfulness via Rubric-Based Reinforcement Learning26 Aug 2026
- 2026PAGER: Bridging the Semantic-Execution Gap in Point-Precise Geometric GUI Control15 May 2026
- 2026Advancing Multimodal Judge Models through a Capability-Oriented Benchmark and MCTS-Driven Data Generation28 Feb 2026
- 2025A Survey on Agentic Multimodal Large Language Models13 Oct 2025
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