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

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arxiv 2505.13427 v2 pith:KO66MGGX submitted 2025-05-19 cs.AI cs.CV

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

classification cs.AI cs.CV
keywords reasoningmultimodalmm-prmdatasupervisionenhancingmathematicalmm-k12
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 4 Pith papers

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  2. Before Thinking, Learn to Decide: Proactive Routing for Efficient Visual Reasoning

    cs.CL 2026-06 unverdicted novelty 6.0

    PRP introduces proactive routing via Draft Rating Learning and Joint Rating Learning to route queries early between draft and target models for efficient multimodal reasoning.

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    BetaPRM learns distributional step rewards with explicit reliability via Beta-Binomial modeling, enabling ACA that cuts token use by up to 33.57% while raising final-answer accuracy on reasoning benchmarks.

  4. Advancing Multimodal Judge Models through a Capability-Oriented Benchmark and MCTS-Driven Data Generation

    cs.AI 2026-02 reject novelty 5.0

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