Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner
On the map: LLM reasoning → Reinforcement learning for reasoning
Abstract (arXiv)
Large reasoning models (LRMs) have recently shown promise in solving complex math problems when optimized with Reinforcement Learning (RL). But conventional approaches rely on outcome-only rewards that provide sparse feedback, resulting in inefficient optimization process. In this work, we investigate the function of process reward models (PRMs) to accelerate the RL training for LRMs. We propose a novel intrinsic signal-driven generative process evaluation mechanism operating at the thought level to address major bottlenecks in RL-based training. Specifically, instead of requiring PRMs to know how to solve problems, our method uses intrinsic signals in solutions to judge stepwise correctness and aggregate contiguous correct/incorrect steps into coherent 'thought' units. This structured, thought-level rewards enable more reliable credit assignment by reducing ambiguity in step segmentation and alleviating reward hacking. We further introduce a capability-adaptive reward mechanism that dynamically balances exploration and exploitation based on the LRM's current proficiency, guiding learning without stifling creative trial-and-error. These innovations are integrated into a new off-policy RL algorithm, TP-GRPO, which extends grouped proximal optimization with process-based rewards and improves training efficiency. Experiments on 1.5B and 7B parameter LRMs demonstrate that our method achieves higher problem-solving accuracy with significantly fewer training samples than outcome-only reward baselines. The results validate that well-structured process rewards can substantially accelerate LRM optimization in math reasoning tasks. Code is available at https://github.com/cs-holder/tp_grpo.
Key facts. Cited by 11 papers in the map (data through 13 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 48 of its 65 references that are in the map. First posted on arXiv 31 Jul 2025.
Builds on
48 of 65 references.
Closest ancestors · 28
Same direction, newest first
- 2025ReasonFlux-PRM: Trajectory-Aware PRMs for Long Chain-of-Thought Reasoning in LLMs23 Jun
- 2025ReasonGRM: Enhancing Generative Reward Models through Large Reasoning Models20 Jun
- 2025Direct Reasoning Optimization: Token-Level Reasoning Reflectivity Meets Rubric Gates for Unverifiable Tasks16 Jun
- 2025Is PRM Necessary? Problem-Solving RL Implicitly Induces PRM Capability in LLMs16 May
- 2025RM-R1: Reward Modeling as Reasoning5 May
- 2025Accurate and Diverse LLM Mathematical Reasoning via Automated PRM-Guided GFlowNets28 Apr
- 2025Process Reward Models That Think23 Apr
- 2025Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?18 Apr
- 2025Inference-Time Scaling for Generalist Reward Modeling3 Apr
- 2025GenPRM: Scaling Test-Time Compute of Process Reward Models via Generative Reasoning1 Apr
- 2025Open-Reasoner-Zero: An Open Source Approach to Scaling Up Reinforcement Learning on the Base Model31 Mar
- 2025R-PRM: Reasoning-Driven Process Reward Modeling27 Mar
16 more
- 2025Understanding R1-Zero-Like Training: A Critical Perspective26 Mar
- 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
- 2025Uncertainty-Aware Step-wise Verification with Generative Reward Models16 Feb
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning22 Jan
- 2025Kimi k1.5: Scaling Reinforcement Learning with LLMs22 Jan
- 2025The Lessons of Developing Process Reward Models in Mathematical Reasoning13 Jan
- 2025PRMBench: A Fine-grained and Challenging Benchmark for Process-Level Reward Models6 Jan
- 2024ProcessBench: Identifying Process Errors in Mathematical Reasoning9 Dec
- 2024PSPO*: An Effective Process-supervised Policy Optimization for Reasoning Alignment18 Nov
- 2024Process Reward Model with Q-Value Rankings15 Oct
- 2024Rewarding Progress: Scaling Automated Process Verifiers for LLM Reasoning10 Oct
- 2024Generative Verifiers: Reward Modeling as Next-Token Prediction27 Aug
- 2024Improve Mathematical Reasoning in Language Models by Automated Process Supervision5 Jun
- 2024Multi-step Problem Solving Through a Verifier: An Empirical Analysis on Model-induced Process Supervision5 Feb
- 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations14 Dec
- 2022Solving math word problems with process- and outcome-based feedback25 Nov
Other references · 20
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,091
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,270
- 2025Gemma 3 Technical Reportcited by 1,748
- 2024A Survey on LLM-as-a-Judgecited by 1,399
- 2025s1: Simple test-time scalingcited by 1,322
- 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,111
- 2023Is ChatGPT a Good NLG Evaluator? A Preliminary Studycited by 421
- 2025Thoughts Are All Over the Place: On the Underthinking of o1-Like LLMscited by 163
- 2024Generative Reward Modelscited by 148
- 2024Critique-out-Loud Reward Modelscited by 105
- 2024OpenR: An Open Source Framework for Advanced Reasoning with Large Language Modelscited by 93
- 2024o1-Coder: an o1 Replication for Codingcited by 78
8 more
- 2024Step-level Value Preference Optimization for Mathematical Reasoningcited by 72
- 2024Self-Taught Evaluatorscited by 70
- 2025A Comprehensive Survey of Reward Models: Taxonomy, Applications, Challenges, and Futurecited by 53
- 2024AutoPSV: Automated Process-Supervised Verifiercited by 28
- 2024AutoPRM: Automating Procedural Supervision for Multi-Step Reasoning via Controllable Question Decompositioncited by 24
- 2018Exploration versus exploitation in reinforcement learning: a stochastic control approachcited by 17
- 2025Verdict: A Library for Scaling Judge-Time Computecited by 7
- 2025LLM-Explorer: A Plug-in Reinforcement Learning Policy Exploration Enhancement Driven by Large Language Modelscited by 4
Built on by
Citing papers per year: 2025: 7; 2026: 4.
11 papers.
- 2025A Survey of Reinforcement Learning for Large Reasoning Modelscited by 177
- 2025A Survey of Process Reward Models: From Outcome Signals to Process Supervisions for Large Language Modelscited by 38
- 2025StepWiser: Stepwise Generative Judges for Wiser Reasoningcited by 28
- 2025Attention as a Compass: Efficient Exploration for Process-Supervised RL in Reasoning Modelscited by 13
- 2025Pushing on Multilingual Reasoning Models with Language-Mixed Chain-of-Thoughtcited by 10
- 2025PRInTS: Reward Modeling for Long-Horizon Information Seekingcited by 5
- 2025Verifying Meta-Awareness via Predictive Rewards in Reasoning Modelscited by 3
- 2026LLM Reasoning with Process Rewards for Outcome-Guided Stepscited by 3
- 2026Balancing the Reasoning Load: Difficulty-Differentiated Policy Optimization with Length Redistribution for Efficient and Robust Reinforcement Learningcited by 0
- 2026BALTO: Balanced Token-Level Policy Optimization for Hallucination Mitigationcited by 0
- 2026Rewarding Better Thinking for LLM Preference Alignmentcited by 0
- 2026Rewarding Better Thinking for LLM Preference Alignment22 Jul 2026
- 2026BALTO: Balanced Token-Level Policy Optimization for Hallucination Mitigation14 Jun 2026
- 2026Balancing the Reasoning Load: Difficulty-Differentiated Policy Optimization with Length Redistribution for Efficient and Robust Reinforcement Learning19 Mar 2026
- 2026LLM Reasoning with Process Rewards for Outcome-Guided Steps8 Feb 2026
- 2025PRInTS: Reward Modeling for Long-Horizon Information Seeking24 Nov 2025
- 2025A Survey of Process Reward Models: From Outcome Signals to Process Supervisions for Large Language Models9 Oct 2025
- 2025Pushing on Multilingual Reasoning Models with Language-Mixed Chain-of-Thought5 Oct 2025
- 2025Attention as a Compass: Efficient Exploration for Process-Supervised RL in Reasoning Models30 Sep 2025
- 2025Verifying Meta-Awareness via Predictive Rewards in Reasoning Models26 Sep 2025
- 2025A Survey of Reinforcement Learning for Large Reasoning Models10 Sep 2025
- 2025StepWiser: Stepwise Generative Judges for Wiser Reasoning26 Aug 2025
Similar, not cited
Close in wording, no citation either way
- 2023Let's Reinforce Step by Step
- 2025Think-RM: Enabling Long-Horizon Reasoning in Generative Reward Models
- 2023Let's reward step by step: Step-Level reward model as the Navigators for Reasoning
- 2025From Mathematical Reasoning to Code: Generalization of Process Reward Models in Test-Time Scaling
- 2026Scaling Large Reasoning Models beyond Human Supervision: A Path toward Superintelligence
- 2025Scaling Up RL: Unlocking Diverse Reasoning in LLMs via Prolonged Training
- 2026Reason Only When Needed: Efficient Generative Reward Modeling via Model-Internal Uncertainty
- 2024On Designing Effective RL Reward at Training Time for LLM Reasoning