mlsanityData to 7 Oct 2026

MM-PRM: Enhancing Multimodal Mathematical Reasoning with Scalable Step-Level Supervision

arXiv 2505.13427 ↗First posted 19 May 2025cs.AI cs.CVcited by 28

On the map: LLM reasoning → Multimodal reasoning

also in 1 more
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

  1. 2025InternLM-XComposer2.5-Reward: A Simple Yet Effective Multi-Modal Reward Model21 Jan
  2. 2025Unlocking Multimodal Mathematical Reasoning via Process Reward Model8 Jan
  3. 2024Expanding Performance Boundaries of Open-Source Multimodal Models with Model, Data, and Test-Time Scaling6 Dec
  4. 2024Enhancing the Reasoning Ability of Multimodal Large Language Models via Mixed Preference Optimization15 Nov
  5. 2024MultiMath: Bridging Visual and Mathematical Reasoning for Large Language Models30 Aug
  6. 2024MAVIS: Mathematical Visual Instruction Tuning with an Automatic Data Engine11 Jul
  7. 2024Multimodal Self-Instruct: Synthetic Abstract Image and Visual Reasoning Instruction Using Language Model9 Jul
  8. 2024Math-LLaVA: Bootstrapping Mathematical Reasoning for Multimodal Large Language Models25 Jun
  9. 2023MathVista: Evaluating Mathematical Reasoning of Foundation Models in Visual Contexts3 Oct

Other references · 36

  1. 2023GPT-4 Technical Reportcited by 18,132
  2. 2017Proximal Policy Optimization Algorithmscited by 14,441
  3. 2024The Llama 3 Herd of Modelscited by 14,192
  4. 2023LLaMA: Open and Efficient Foundation Language Modelscited by 13,958
  5. 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
  6. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  7. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  8. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,146
  9. 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,601
  10. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  11. 2023Qwen Technical Reportcited by 3,273
  12. 2023Qwen-VL: A Versatile Vision-Language Model for Understanding, Localization, Text Reading, and Beyondcited by 2,179
24 more
  1. 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameterscited by 1,928
  2. 2024OpenAI o1 System Cardcited by 1,220
  3. 2025Kimi k1.5: Scaling Reinforcement Learning with LLMscited by 1,193
  4. 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,099
  5. 2024MiniCPM-V: A GPT-4V Level MLLM on Your Phonecited by 1,061
  6. 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotationscited by 895
  7. 2022Solving math word problems with process- and outcome-based feedbackcited by 871
  8. 2023Gemini: A Family of Highly Capable Multimodal Modelscited by 810
  9. 2019MathQA: Towards Interpretable Math Word Problem Solving with Operation-Based Formalismscited by 653
  10. 2023MAmmoTH: Building Math Generalist Models through Hybrid Instruction Tuningcited by 483
  11. 2024Improve Mathematical Reasoning in Language Models by Automated Process Supervisioncited by 426
  12. 2025The Lessons of Developing Process Reward Models in Mathematical Reasoningcited by 402
  13. 2024InternLM2 Technical Reportcited by 391
  14. 2023Alphazero-like Tree-Search can Guide Large Language Model Decoding and Trainingcited by 291
  15. 2024RLHF Workflow: From Reward Modeling to Online RLHFcited by 265
  16. 2024Step-DPO: Step-wise Preference Optimization for Long-chain Reasoning of LLMscited by 265
  17. 2022Making Large Language Models Better Reasoners with Step-Aware Verifiercited by 231
  18. 2024Multimodal ArXiv: A Dataset for Improving Scientific Comprehension of Large Vision-Language Modelscited by 138
  19. 2023Let's reward step by step: Step-Level reward model as the Navigators for Reasoningcited by 96
  20. 2024OpenR: An Open Source Framework for Advanced Reasoning with Large Language Modelscited by 92
  21. 2023OVM, Outcome-supervised Value Models for Planning in Mathematical Reasoningcited by 84
  22. 2024Multi-step Problem Solving Through a Verifier: An Empirical Analysis on Model-induced Process Supervisioncited by 51
  23. 2024MindStar: Enhancing Math Reasoning in Pre-trained LLMs at Inference Timecited by 40
  24. 2024Theorem-Validated Reverse Chain-of-Thought Problem Generation for Geometric Reasoningcited by 32

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 10; 2026: 18.

28 papers.

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By area:

  1. 2025A Survey of Process Reward Models: From Outcome Signals to Process Supervisions for Large Language Modelscited by 37
  2. 2025From Perception to Cognition: A Survey of Vision-Language Interactive Reasoning in Multimodal Large Language Modelscited by 26
  3. 2025A Survey on Agentic Multimodal Large Language Modelscited by 19
  4. 2025GM-PRM: A Generative Multimodal Process Reward Model for Multimodal Mathematical Reasoningcited by 13
  5. 2025Training Vision-Language Process Reward Models for Test-Time Scaling in Multimodal Reasoning: Key Insights and Lessons Learnedcited by 12
  6. 2025VRPRM: Process Reward Modeling via Visual Reasoningcited by 11
  7. 2025TIM-PRM: Verifying multimodal reasoning with Tool-Integrated PRMcited by 8
  8. 2025VisioMath: Benchmarking Figure-based Mathematical Reasoning in LMMscited by 6
  9. 2025StructVRM: Aligning Multimodal Reasoning with Structured and Verifiable Reward Modelscited by 6
  10. 2026Unified Generation and Self-Verification for Vision-Language Models via Advantage Decoupled Preference Optimizationcited by 5
  11. 2026PaLMR: Towards Faithful Visual Reasoning via Multimodal Process Alignmentcited by 5
  12. 2025Adversarial Training for Process Reward Modelscited by 3
16 more
  1. 2026Advancing Multimodal Judge Models through a Capability-Oriented Benchmark and MCTS-Driven Data Generationcited by 3
  2. 2026Training Data Efficiency in Multimodal Process Reward Modelscited by 1
  3. 2026PAGER: Bridging the Semantic-Execution Gap in Point-Precise Geometric GUI Controlcited by 1
  4. 2026Granularity-Regulated Adaptive Computational Efficiency for Optimal Verification in Test-Time Scalingcited by 1
  5. 2026VeriBound: PAC-Bayesian Generalization Bounds for Process Reward Models Trained with Formal Verification Toolscited by 1
  6. 2026Guided Verifier: Collaborative Multimodal Reasoning via Dynamic Process Supervisioncited by 0
  7. 2026A Survey of Multimodal Mathematical Reasoning: From Perception, Alignment to Reasoningcited by 0
  8. 2026Process Rewards with Learned Reliabilitycited by 0
  9. 2026A Nash Equilibrium Framework For Training-Free Multimodal Step Verificationcited by 0
  10. 2026IVR-R1: Refining Trajectories through Iterative Visual-Grounded Reasoning in Reinforcement Learningcited by 0
  11. 2026ProcessThinker: Enhancing Multi-modal Large Language Models Reasoning via Rollout-based Process Rewardcited by 0
  12. 2026Before Thinking, Learn to Decide: Proactive Routing for Efficient Visual Reasoningcited by 0
  13. 2026VERDICT: Training-Free Step-Wise Verification of Multimodal Reasoning via Disagreement-Aware Consensuscited by 0
  14. 2026V-Rubrics: Visual Faithfulness via Rubric-Based Reinforcement Learningcited by 0
  15. 2026HaPRL: Human-Anchored Process Reinforcement Learning for Visual Search Agentcited by 0
  16. 2026SPLIT-RL: Staged Perception-Language Reasoning Training with Claim-Level Advantagescited by 0

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  2. 2026M3Kang: Evaluating Multilingual Multimodal Mathematical Reasoning in Vision-Language Models
  3. 2025VisualPRM: An Effective Process Reward Model for Multimodal Reasoning
  4. 2024A Survey of Mathematical Reasoning in the Era of Multimodal Large Language Model: Benchmark, Method & Challenges
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