RePO: Replay-Enhanced Policy Optimization
On the map: LLM reasoning → Reinforcement learning for reasoning
Abstract (arXiv)
Reinforcement learning (RL) is vital for optimizing large language models (LLMs). Recent Group Relative Policy Optimization (GRPO) estimates advantages using multiple on-policy outputs per prompt, leading to high computational costs and low data efficiency. To address this, we introduce Replay-Enhanced Policy Optimization (RePO), which leverages diverse replay strategies to retrieve off-policy samples from a replay buffer, allowing policy optimization based on a broader and more diverse set of samples for each prompt. Experiments on five LLMs across seven mathematical reasoning benchmarks demonstrate that RePO achieves absolute average performance gains of 18.4 and 4.1 points for Qwen2.5-Math-1.5B and Qwen3-1.7B, respectively, compared to GRPO. Further analysis indicates that RePO increases computational cost by 15% while raising the number of effective optimization steps by 48% for Qwen3-1.7B, with both on-policy and off-policy sample numbers set to 8. The repository can be accessed at https://github.com/SihengLi99/RePO.
Key facts. Cited by 36 papers in the map (data through 7 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 24 of its 32 references that are in the map. First posted on arXiv 11 Jun 2025.
Builds on
24 of 32 references.
Closest ancestors · 10
Same direction, newest first
- 2025Learning to Reason under Off-Policy Guidance21 Apr
- 2025Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?18 Apr
- 2025Not All Rollouts are Useful: Down-Sampling Rollouts in LLM Reinforcement Learning18 Apr
- 2025DeepMath-103K: A Large-Scale, Challenging, Decontaminated, and Verifiable Mathematical Dataset for Advancing Reasoning15 Apr
- 2025Open-Reasoner-Zero: An Open Source Approach to Scaling Up Reinforcement Learning on the Base Model31 Mar
- 2025CPPO: Accelerating the Training of Group Relative Policy Optimization-Based Reasoning Models28 Mar
- 2025Understanding R1-Zero-Like Training: A Critical Perspective26 Mar
- 2025SimpleRL-Zoo: Investigating and Taming Zero Reinforcement Learning for Open Base Models in the Wild24 Mar
- 2024Teaching Large Language Models to Reason with Reinforcement Learning7 Mar
- 2017Proximal Policy Optimization Algorithms20 Jul
Other references · 14
- 2022Training language models to follow instructions with human feedbackcited by 15,712
- 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,767
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
- 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,710
- 2019The Curious Case of Neural Text Degenerationcited by 2,881
- 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,748
- 2020Learning to summarize from human feedbackcited by 2,562
- 2023A Survey on Large Language Model based Autonomous Agentscited by 2,203
- 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 1,916
- 2022Challenging BIG-Bench Tasks and Whether Chain-of-Thought Can Solve Themcited by 1,767
- 2024MMLU-Pro: A More Robust and Challenging Multi-Task Language Understanding Benchmarkcited by 1,758
- 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,099
2 more
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Citing papers per year: 2025: 11; 2026: 25.
36 papers.
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- 2025Geometric-Mean Policy Optimizationcited by 107
- 2025ExGRPO: Learning to Reason from Experiencecited by 49
- 2025MO-GRPO: Mitigating Reward Hacking of Group Relative Policy Optimization on Multi-Objective Problemscited by 21
- 2026Demystifying Group Relative Policy Optimization: Its Policy Gradient is a U-Statisticcited by 19
- 2025XRPO: Pushing the limits of GRPO with Targeted Exploration and Exploitationcited by 17
- 2025Squeeze the Soaked Sponge: Efficient Off-policy Reinforcement Finetuning for Large Language Modelcited by 14
- 2025AutoTool: Dynamic Tool Selection and Integration for Agentic Reasoningcited by 11
- 2026Good SFT Optimizes for SFT, Better SFT Prepares for Reinforcement Learningcited by 10
- 2026Train at Moving Edge: Online-Verified Prompt Selection for Efficient RL Training of Large Reasoning Modelcited by 10
- 2025AVATAR: Reinforcement Learning to See, Hear, and Reason Over Videocited by 9
- 2025Stabilizing Off-Policy Training for Long-Horizon LLM Agent via Turn-Level Importance Sampling and Clipping-Triggered Normalizationcited by 8
- 2026Buffer Matters: Unleashing the Power of Off-Policy Reinforcement Learning in Large Language Model Reasoningcited by 8
24 more
- 2026Accelerating RL Post-Training Rollouts via System-Integrated Speculative Decodingcited by 8
- 2026OP-GRPO: Efficient Off-Policy GRPO for Flow-Matching Modelscited by 7
- 2026RLVR without Ineffective Samples: Group Prioritized Off-Policy Optimization for LLM Reasoningcited by 7
- 2026Large Language Model Post-Training: A Unified View of Off-Policy and On-Policy Learningcited by 5
- 2025PVPO: Pre-Estimated Value-Based Policy Optimization for Agentic Reasoningcited by 4
- 2026DyJR: Preserving Diversity in Reinforcement Learning with Verifiable Rewards via Dynamic Jensen-Shannon Replaycited by 3
- 2026Learning from the Near Future: Temporal Self-Distillation for RLVRcited by 3
- 2026Kernelized Advantage Estimation: From Nonparametric Statistics to LLM Reasoningcited by 3
- 2025From Poisoned to Aware: Fostering Backdoor Self-Awareness in LLMscited by 2
- 2026Experience Augmented Policy Optimization for LLM Reasoningcited by 2
- 2026One Ring to Rule Them All: Unifying Group-Based RL via Dynamic Power-Mean Geometrycited by 1
- 2026Decoding in Geometry: Alleviating Embedding-Space Crowding for Complex Reasoningcited by 1
- 2026PrAg-PO: Prompt Augmented Policy Optimization for Robust and Diverse Mathematical Reasoningcited by 1
- 2026Learning to Solve, Forgetting to Retain: Correct-Set Turnover in RLVRcited by 1
- 2026Rollout-Level Advantage-Prioritized Experience Replay for GRPOcited by 1
- 2026A First-Principles Derivation of LLM Policy Optimization: From Expected Reward to GRPO and Its Structural Extensionscited by 1
- 2026Headroom-Drift Replay: A Primitive for Principled Replay Control in GRPOcited by 1
- 2025Scaling DRL for Decision Making: A Survey on Data, Network, and Training Budget Strategiescited by 0
- 2026Beyond Normalization: Rethinking the Partition Function as a Difficulty Scheduler for RLVRcited by 0
- 2026Chart Deep Research in LVLMs via Parallel Relative Policy Optimizationcited by 0
- 2026RSPO: Reward-Swap Policy Optimization for Multi-Turn LLM Agentscited by 0
- 2026ABC: Advantage-Based Control Variates for Reinforcement Learning with Verifiable Rewardscited by 0
- 2026Where Does Staleness Accumulate? Pool Aware Effective Staleness Control for Asynchronous RL in LLM Post-Trainingcited by 0
- 2026Self-Evolving Algorithm-Design Agents: Escaping In-Context Evolutionary Stagnation via Population-Curated Policy Optimizationcited by 0
- 2026Self-Evolving Algorithm-Design Agents: Escaping In-Context Evolutionary Stagnation via Population-Curated Policy Optimization30 Sep 2026
- 2026Where Does Staleness Accumulate? Pool Aware Effective Staleness Control for Asynchronous RL in LLM Post-Training29 Sep 2026
- 2026ABC: Advantage-Based Control Variates for Reinforcement Learning with Verifiable Rewards28 Sep 2026
- 2026Headroom-Drift Replay: A Primitive for Principled Replay Control in GRPO3 Sep 2026
- 2026RSPO: Reward-Swap Policy Optimization for Multi-Turn LLM Agents6 Jul 2026
- 2026Experience Augmented Policy Optimization for LLM Reasoning29 Jun 2026
- 2026A First-Principles Derivation of LLM Policy Optimization: From Expected Reward to GRPO and Its Structural Extensions15 Jun 2026
- 2026Rollout-Level Advantage-Prioritized Experience Replay for GRPO3 Jun 2026
- 2026Learning to Solve, Forgetting to Retain: Correct-Set Turnover in RLVR2 Jun 2026
- 2026RLVR without Ineffective Samples: Group Prioritized Off-Policy Optimization for LLM Reasoning31 May 2026
- 2026Kernelized Advantage Estimation: From Nonparametric Statistics to LLM Reasoning30 Apr 2026
- 2026Accelerating RL Post-Training Rollouts via System-Integrated Speculative Decoding29 Apr 2026
24 more
- 2026Learning from the Near Future: Temporal Self-Distillation for RLVR22 Apr 2026
- 2026Large Language Model Post-Training: A Unified View of Off-Policy and On-Policy Learning9 Apr 2026
- 2026OP-GRPO: Efficient Off-Policy GRPO for Flow-Matching Models5 Apr 2026
- 2026Train at Moving Edge: Online-Verified Prompt Selection for Efficient RL Training of Large Reasoning Model26 Mar 2026
- 2026DyJR: Preserving Diversity in Reinforcement Learning with Verifiable Rewards via Dynamic Jensen-Shannon Replay17 Mar 2026
- 2026Chart Deep Research in LVLMs via Parallel Relative Policy Optimization3 Mar 2026
- 2026Demystifying Group Relative Policy Optimization: Its Policy Gradient is a U-Statistic1 Mar 2026
- 2026Buffer Matters: Unleashing the Power of Off-Policy Reinforcement Learning in Large Language Model Reasoning24 Feb 2026
- 2026Beyond Normalization: Rethinking the Partition Function as a Difficulty Scheduler for RLVR13 Feb 2026
- 2026PrAg-PO: Prompt Augmented Policy Optimization for Robust and Diverse Mathematical Reasoning3 Feb 2026
- 2026Good SFT Optimizes for SFT, Better SFT Prepares for Reinforcement Learning1 Feb 2026
- 2026Decoding in Geometry: Alleviating Embedding-Space Crowding for Complex Reasoning30 Jan 2026
- 2026One Ring to Rule Them All: Unifying Group-Based RL via Dynamic Power-Mean Geometry30 Jan 2026
- 2025AutoTool: Dynamic Tool Selection and Integration for Agentic Reasoning15 Dec 2025
- 2025Stabilizing Off-Policy Training for Long-Horizon LLM Agent via Turn-Level Importance Sampling and Clipping-Triggered Normalization25 Nov 2025
- 2025XRPO: Pushing the limits of GRPO with Targeted Exploration and Exploitation8 Oct 2025
- 2025From Poisoned to Aware: Fostering Backdoor Self-Awareness in LLMs5 Oct 2025
- 2025ExGRPO: Learning to Reason from Experience2 Oct 2025
- 2025MO-GRPO: Mitigating Reward Hacking of Group Relative Policy Optimization on Multi-Objective Problems26 Sep 2025
- 2025PVPO: Pre-Estimated Value-Based Policy Optimization for Agentic Reasoning28 Aug 2025
- 2025Scaling DRL for Decision Making: A Survey on Data, Network, and Training Budget Strategies5 Aug 2025
- 2025AVATAR: Reinforcement Learning to See, Hear, and Reason Over Video5 Aug 2025
- 2025Geometric-Mean Policy Optimization28 Jul 2025
- 2025Squeeze the Soaked Sponge: Efficient Off-policy Reinforcement Finetuning for Large Language Model9 Jul 2025
- 2025Geometric-Mean Policy Optimizationcited by 107
- 2025ExGRPO: Learning to Reason from Experiencecited by 49
- 2025MO-GRPO: Mitigating Reward Hacking of Group Relative Policy Optimization on Multi-Objective Problemscited by 21
- 2026Demystifying Group Relative Policy Optimization: Its Policy Gradient is a U-Statisticcited by 19
- 2025XRPO: Pushing the limits of GRPO with Targeted Exploration and Exploitationcited by 17
- 2025Squeeze the Soaked Sponge: Efficient Off-policy Reinforcement Finetuning for Large Language Modelcited by 14
- 2025AutoTool: Dynamic Tool Selection and Integration for Agentic Reasoningcited by 11
- 2026Good SFT Optimizes for SFT, Better SFT Prepares for Reinforcement Learningcited by 10
- 2026Train at Moving Edge: Online-Verified Prompt Selection for Efficient RL Training of Large Reasoning Modelcited by 10
- 2025AVATAR: Reinforcement Learning to See, Hear, and Reason Over Videocited by 9
- 2025Stabilizing Off-Policy Training for Long-Horizon LLM Agent via Turn-Level Importance Sampling and Clipping-Triggered Normalizationcited by 8
- 2026Buffer Matters: Unleashing the Power of Off-Policy Reinforcement Learning in Large Language Model Reasoningcited by 8
12 most cited of 24 All 24 (JSON)
- 2026ABC: Advantage-Based Control Variates for Reinforcement Learning with Verifiable Rewards28 Sep 2026
- 2026Headroom-Drift Replay: A Primitive for Principled Replay Control in GRPO3 Sep 2026
- 2026Experience Augmented Policy Optimization for LLM Reasoning29 Jun 2026
- 2026A First-Principles Derivation of LLM Policy Optimization: From Expected Reward to GRPO and Its Structural Extensions15 Jun 2026
- 2026Rollout-Level Advantage-Prioritized Experience Replay for GRPO3 Jun 2026
- 2026RLVR without Ineffective Samples: Group Prioritized Off-Policy Optimization for LLM Reasoning31 May 2026
- 2026Kernelized Advantage Estimation: From Nonparametric Statistics to LLM Reasoning30 Apr 2026
- 2026Train at Moving Edge: Online-Verified Prompt Selection for Efficient RL Training of Large Reasoning Model26 Mar 2026
- 2026DyJR: Preserving Diversity in Reinforcement Learning with Verifiable Rewards via Dynamic Jensen-Shannon Replay17 Mar 2026
- 2026Demystifying Group Relative Policy Optimization: Its Policy Gradient is a U-Statistic1 Mar 2026
- 2026Buffer Matters: Unleashing the Power of Off-Policy Reinforcement Learning in Large Language Model Reasoning24 Feb 2026
- 2026Beyond Normalization: Rethinking the Partition Function as a Difficulty Scheduler for RLVR13 Feb 2026
12 newest of 24 All 24 (JSON)
- 2025PVPO: Pre-Estimated Value-Based Policy Optimization for Agentic Reasoningcited by 4
- 2026RSPO: Reward-Swap Policy Optimization for Multi-Turn LLM Agentscited by 0
- 2026Self-Evolving Algorithm-Design Agents: Escaping In-Context Evolutionary Stagnation via Population-Curated Policy Optimizationcited by 0
- 2026Self-Evolving Algorithm-Design Agents: Escaping In-Context Evolutionary Stagnation via Population-Curated Policy Optimization30 Sep 2026
- 2026RSPO: Reward-Swap Policy Optimization for Multi-Turn LLM Agents6 Jul 2026
- 2025PVPO: Pre-Estimated Value-Based Policy Optimization for Agentic Reasoning28 Aug 2025
- 2026Large Language Model Post-Training: A Unified View of Off-Policy and On-Policy Learningcited by 5
- 2026Learning from the Near Future: Temporal Self-Distillation for RLVRcited by 3
- 2026Learning to Solve, Forgetting to Retain: Correct-Set Turnover in RLVRcited by 1
- 2025Scaling DRL for Decision Making: A Survey on Data, Network, and Training Budget Strategiescited by 0
- 2026Chart Deep Research in LVLMs via Parallel Relative Policy Optimizationcited by 0
- 2026Where Does Staleness Accumulate? Pool Aware Effective Staleness Control for Asynchronous RL in LLM Post-Trainingcited by 0
- 2026Where Does Staleness Accumulate? Pool Aware Effective Staleness Control for Asynchronous RL in LLM Post-Training29 Sep 2026
- 2026Learning to Solve, Forgetting to Retain: Correct-Set Turnover in RLVR2 Jun 2026
- 2026Learning from the Near Future: Temporal Self-Distillation for RLVR22 Apr 2026
- 2026Large Language Model Post-Training: A Unified View of Off-Policy and On-Policy Learning9 Apr 2026
- 2026Chart Deep Research in LVLMs via Parallel Relative Policy Optimization3 Mar 2026
- 2025Scaling DRL for Decision Making: A Survey on Data, Network, and Training Budget Strategies5 Aug 2025
Similar, not cited
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- 2026ReCo: Reweighting GRPO Against Distributional Concentration
- 2025Slow-Fast Policy Optimization: Reposition-Before-Update for LLM Reasoning
- 2026RePO: Bridging On-Policy Learning and Off-Policy Knowledge through Rephrasing Policy Optimization
- 2025Stabilizing Reinforcement Learning with LLMs: Formulation and Practices
- 2025SRPO: A Cross-Domain Implementation of Large-Scale Reinforcement Learning on LLM
- 2025TIC-GRPO: Provable and Efficient Optimization for Reinforcement Learning from Human Feedback
- 2023ReMax: A Simple, Effective, and Efficient Reinforcement Learning Method for Aligning Large Language Models
- 2025Group-Relative REINFORCE Is Secretly an Off-Policy Algorithm: Demystifying Some Myths About GRPO and Its Friends