SRPO: A Cross-Domain Implementation of Large-Scale Reinforcement Learning on LLM
On the map: LLM reasoning → Reinforcement learning for reasoning
Abstract (arXiv)
Recent advances of reasoning models, exemplified by OpenAI's o1 and DeepSeek's R1, highlight the significant potential of Reinforcement Learning (RL) to enhance the reasoning capabilities of Large Language Models (LLMs). However, replicating these advancements across diverse domains remains challenging due to limited methodological transparency. In this work, we present two-Staged history-Resampling Policy Optimization (SRPO), which surpasses the performance of DeepSeek-R1-Zero-32B on the AIME24 and LiveCodeBench benchmarks. SRPO achieves this using the same base model as DeepSeek (i.e. Qwen2.5-32B), using only about 1/10 of the training steps required by DeepSeek-R1-Zero-32B, demonstrating superior efficiency. Building upon Group Relative Policy Optimization (GRPO), we introduce two key methodological innovations: (1) a two-stage cross-domain training paradigm designed to balance the development of mathematical reasoning and coding proficiency, and (2) History Resampling (HR), a technique to address ineffective samples. Our comprehensive experiments validate the effectiveness of our approach, offering valuable insights into scaling LLM reasoning capabilities across diverse tasks.
Key facts. Cited by 68 papers in the map (data through 14 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 14 of its 20 references that are in the map. First posted on arXiv 19 Apr 2025.
Builds on
14 of 20 references.
Closest ancestors · 3
Same direction, newest first
- 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning22 Jan
- 2025Kimi k1.5: Scaling Reinforcement Learning with LLMs22 Jan
Other references · 11
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
- 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,944
- 2024Qwen2.5 Technical Reportcited by 4,942
- 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 2,004
- 2016Concrete Problems in AI Safetycited by 1,642
- 2022Scaling Laws for Reward Model Overoptimizationcited by 1,095
- 2020Curriculum Learning for Reinforcement Learning Domains: A Framework and Surveycited by 373
- 2025Demystifying Long Chain-of-Thought Reasoning in LLMscited by 326
- 2019Reward Tampering Problems and Solutions in Reinforcement Learning: A Causal Influence Diagram Perspectivecited by 108
- 2025An Empirical Study on Eliciting and Improving R1-like Reasoning Modelscited by 78
- 2017Reinforcement Learning with a Corrupted Reward Channelcited by 70
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Citing papers per year: 2025: 38; 2026: 30.
68 papers.
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- 2025Reinforcement Learning for Reasoning in Large Language Models with One Training Examplecited by 295
- 2025The Landscape of Agentic Reinforcement Learning for LLMs: A Surveycited by 205
- 2025The Surprising Effectiveness of Negative Reinforcement in LLM Reasoningcited by 162
- 2025Geometric-Mean Policy Optimizationcited by 111
- 2025SEED-GRPO: Semantic Entropy Enhanced GRPO for Uncertainty-Aware Policy Optimizationcited by 89
- 2025Part I: Tricks or Traps? A Deep Dive into RL for LLM Reasoningcited by 56
- 2025The Path Not Taken: RLVR Provably Learns Off the Principalscited by 56
- 2025Can Prompt Difficulty be Online Predicted for Accelerating RL Finetuning of Reasoning Models?cited by 52
- 2025rStar-Coder: Scaling Competitive Code Reasoning with a Large-Scale Verified Datasetcited by 51
- 2025SynLogic: Synthesizing Verifiable Reasoning Data at Scale for Learning Logical Reasoning and Beyondcited by 50
- 2025First Return, Entropy-Eliciting Explorecited by 45
- 2025Phi-4-Mini-Reasoning: Exploring the Limits of Small Reasoning Language Models in Mathcited by 44
38 more
- 2025Diversity-Aware Policy Optimization for Large Language Model Reasoningcited by 41
- 2025FlowRL: Matching Reward Distributions for LLM Reasoningcited by 40
- 2025Reinforcement Learning Meets Large Language Models: A Survey of Advancements and Applications Across the LLM Lifecyclecited by 35
- 2025100 Days After DeepSeek-R1: A Survey on Replication Studies and More Directions for Reasoning Language Modelscited by 30
- 2025TimeOmni-1: Incentivizing Complex Reasoning with Time Series in Large Language Modelscited by 27
- 2026Demystifying Group Relative Policy Optimization: Its Policy Gradient is a U-Statisticcited by 21
- 2025Plan Then Action:High-Level Planning Guidance Reinforcement Learning for LLM Reasoningcited by 19
- 2025CURE: Critical-Token-Guided Re-Concatenation for Entropy-Collapse Preventioncited by 18
- 2025DisCO: Reinforcing Large Reasoning Models with Discriminative Constrained Optimizationcited by 16
- 2026Small Generalizable Prompt Predictive Models Can Steer Efficient RL Post-Training of Large Reasoning Modelscited by 14
- 2025KAT-V1: Kwai-AutoThink Technical Reportcited by 12
- 2025Scheduling Your LLM Reinforcement Learning with Reasoning Treescited by 12
- 2025AdapThink: Adaptive Thinking Preferences for Reasoning Language Modelcited by 11
- 2025Enhancing Long Chain-of-Thought Reasoning through Multi-Path Plan Aggregationcited by 11
- 2025Supervised Reinforcement Learning: From Expert Trajectories to Step-wise Reasoningcited by 11
- 2026Dynamics-Predictive Sampling for Active RL Finetuning of Large Reasoning Modelscited by 11
- 2025Ring-lite: Scalable Reasoning via C3PO-Stabilized Reinforcement Learning for LLMscited by 10
- 2025From Data-Centric to Sample-Centric: Enhancing LLM Reasoning via Progressive Optimizationcited by 10
- 2026Train at Moving Edge: Online-Verified Prompt Selection for Efficient RL Training of Large Reasoning Modelcited by 10
- 2026TRACE: A Unified Rollout Budget Allocation Framework for Efficient Agentic Reinforcement Learningcited by 10
- 2026RLVR without Ineffective Samples: Group Prioritized Off-Policy Optimization for LLM Reasoningcited by 9
- 2025VAR-MATH: Probing True Mathematical Reasoning in LLMS via Symbolic Multi-Instance Benchmarkscited by 8
- 2026Buffer Matters: Unleashing the Power of Off-Policy Reinforcement Learning in Large Language Model Reasoningcited by 8
- 2025DISCO Balances the Scales: Adaptive Domain- and Difficulty-Aware Reinforcement Learning on Imbalanced Datacited by 7
- 2025Reinforcement Learning for Out-of-Distribution Reasoning in LLMs: An Empirical Study on Diagnosis-Related Group Codingcited by 7
- 2025Explore Data Left Behind in Reinforcement Learning for Reasoning Language Modelscited by 7
- 2025Unearthing Gems from Stones: Policy Optimization with Negative Sample Augmentation for LLM Reasoningcited by 6
- 2025RuleReasoner: Reinforced Rule-based Reasoning via Domain-aware Dynamic Samplingcited by 6
- 2026Collaborative Multi-Agent Scripts Generation for Enhancing Imperfect-Information Reasoning in Murder Mystery Gamescited by 6
- 2025CodeReasoner: Enhancing the Code Reasoning Ability with Reinforcement Learningcited by 4
- 2026Rewards as Labels: Revisiting RLVR from a Classification Perspectivecited by 4
- 2026LACONIC: Length-Aware Constrained Reinforcement Learning for LLMcited by 4
- 2025The Challenge of Teaching Reasoning to LLMs Without RL or Distillationcited by 3
- 2026Resource-Efficient Reinforcement for Reasoning Large Language Models via Dynamic One-Shot Policy Refinementcited by 3
- 2025FinLMM-R1: Enhancing Financial Reasoning in LMM through Scalable Data and Reward Designcited by 2
- 2025GCPO: When Contrast Fails, Go Goldcited by 2
- 2025What Makes Reasoning Invalid: Echo Reflection Mitigation for Large Language Modelscited by 2
- 2026One Sample to Rule Them All: Extreme Data Efficiency in Multidiscipline Reasoning with Reinforcement Learningcited by 2
50 most cited of 68 All 68 (JSON)
- 2026Explicit Trajectory Diversity for RL-Based Post-Training of LLM Agents30 Sep 2026
- 2026Unfold The World: Factorize 4D Properties in Reinforcing Spatial Reasoning3 Sep 2026
- 2026Dynamic Important Example Mining for Reinforcement Finetuning29 Aug 2026
- 2026Evidence-Grounded Forensic Reasoning for Detecting and Grounding Multi-Modal Media Manipulation8 Aug 2026
- 2026ReCo: Reweighting GRPO Against Distributional Concentration29 Jul 2026
- 2026Early Verdicts, Better Budgets: Sequential Adaptive Rollout Allocation for Compute-Efficient RLVR28 Jul 2026
- 2026Manifold Bandits: Bayesian Curriculum Learning over the Latent Geometry of Large Language Models18 Jun 2026
- 2026TRACE: A Unified Rollout Budget Allocation Framework for Efficient Agentic Reinforcement Learning9 Jun 2026
- 2026AdaGRPO: A Capability-Aware Adaptive Enhancement for Flow-based GRPO5 Jun 2026
- 2026RLVR without Ineffective Samples: Group Prioritized Off-Policy Optimization for LLM Reasoning31 May 2026
- 2026SLAT: Segment-Level Adaptive Trimming for Efficient CoT Reasoning29 May 2026
- 2026Multi-Step Likelihood-Ratio Correction for Reinforcement Learning with Verifiable Rewards20 May 2026
38 more
- 2026DISA: Offline Importance Sampling for Distribution-Matching LLM-RL17 May 2026
- 2026Experience Sharing in Mutual Reinforcement Learning for Heterogeneous Language Models8 May 2026
- 2026Collaborative Multi-Agent Scripts Generation for Enhancing Imperfect-Information Reasoning in Murder Mystery Games13 Apr 2026
- 2026Train at Moving Edge: Online-Verified Prompt Selection for Efficient RL Training of Large Reasoning Model26 Mar 2026
- 2026KG-Hopper: Empowering Compact Open LLMs with Knowledge Graph Reasoning via Reinforcement Learning22 Mar 2026
- 2026Dynamics-Predictive Sampling for Active RL Finetuning of Large Reasoning Models11 Mar 2026
- 2026SWE-Fuse: Empowering Software Agents via Issue-free Trajectory Learning and Entropy-aware RLVR Training9 Mar 2026
- 2026Breaking Training Bottlenecks: Effective and Stable Reinforcement Learning for Coding Models8 Mar 2026
- 2026Demystifying Group Relative Policy Optimization: Its Policy Gradient is a U-Statistic1 Mar 2026
- 2026MixSarc: A Bangla-English Code-Mixed Corpus for Implicit Meaning Identification25 Feb 2026
- 2026Buffer Matters: Unleashing the Power of Off-Policy Reinforcement Learning in Large Language Model Reasoning24 Feb 2026
- 2026LACONIC: Length-Aware Constrained Reinforcement Learning for LLM16 Feb 2026
- 2026Rewards as Labels: Revisiting RLVR from a Classification Perspective5 Feb 2026
- 2026Beyond Variance: Prompt-Efficient RLVR via Rare-Event Amplification and Bidirectional Pairing3 Feb 2026
- 2026Small Generalizable Prompt Predictive Models Can Steer Efficient RL Post-Training of Large Reasoning Models2 Feb 2026
- 2026Resource-Efficient Reinforcement for Reasoning Large Language Models via Dynamic One-Shot Policy Refinement31 Jan 2026
- 2026One Ring to Rule Them All: Unifying Group-Based RL via Dynamic Power-Mean Geometry30 Jan 2026
- 2026One Sample to Rule Them All: Extreme Data Efficiency in Multidiscipline Reasoning with Reinforcement Learning6 Jan 2026
- 2025The Path Not Taken: RLVR Provably Learns Off the Principals11 Nov 2025
- 2025What Makes Reasoning Invalid: Echo Reflection Mitigation for Large Language Models9 Nov 2025
- 2025Explore Data Left Behind in Reinforcement Learning for Reasoning Language Models6 Nov 2025
- 2025Supervised Reinforcement Learning: From Expert Trajectories to Step-wise Reasoning29 Oct 2025
- 2025Scheduling Your LLM Reinforcement Learning with Reasoning Trees28 Oct 2025
- 2025Enhancing Long Chain-of-Thought Reasoning through Multi-Path Plan Aggregation13 Oct 2025
- 2025GCPO: When Contrast Fails, Go Gold9 Oct 2025
- 2025Plan Then Action:High-Level Planning Guidance Reinforcement Learning for LLM Reasoning2 Oct 2025
- 2025TimeOmni-1: Incentivizing Complex Reasoning with Time Series in Large Language Models29 Sep 2025
- 2025Reinforcement Learning Meets Large Language Models: A Survey of Advancements and Applications Across the LLM Lifecycle20 Sep 2025
- 2025FlowRL: Matching Reward Distributions for LLM Reasoning18 Sep 2025
- 2025The Landscape of Agentic Reinforcement Learning for LLMs: A Survey2 Sep 2025
- 2025CURE: Critical-Token-Guided Re-Concatenation for Entropy-Collapse Prevention14 Aug 2025
- 2025Part I: Tricks or Traps? A Deep Dive into RL for LLM Reasoning11 Aug 2025
- 2025Geometric-Mean Policy Optimization28 Jul 2025
- 2025CodeReasoner: Enhancing the Code Reasoning Ability with Reinforcement Learning23 Jul 2025
- 2025VAR-MATH: Probing True Mathematical Reasoning in LLMS via Symbolic Multi-Instance Benchmarks17 Jul 2025
- 2025The Challenge of Teaching Reasoning to LLMs Without RL or Distillation14 Jul 2025
- 2025KAT-V1: Kwai-AutoThink Technical Report11 Jul 2025
- 2025First Return, Entropy-Eliciting Explore9 Jul 2025
50 newest of 68 All 68 (JSON)
- 2025Reinforcement Learning for Reasoning in Large Language Models with One Training Examplecited by 295
- 2025The Surprising Effectiveness of Negative Reinforcement in LLM Reasoningcited by 162
- 2025Geometric-Mean Policy Optimizationcited by 111
- 2025SEED-GRPO: Semantic Entropy Enhanced GRPO for Uncertainty-Aware Policy Optimizationcited by 89
- 2025Part I: Tricks or Traps? A Deep Dive into RL for LLM Reasoningcited by 56
- 2025The Path Not Taken: RLVR Provably Learns Off the Principalscited by 56
- 2025Can Prompt Difficulty be Online Predicted for Accelerating RL Finetuning of Reasoning Models?cited by 52
- 2025rStar-Coder: Scaling Competitive Code Reasoning with a Large-Scale Verified Datasetcited by 51
- 2025SynLogic: Synthesizing Verifiable Reasoning Data at Scale for Learning Logical Reasoning and Beyondcited by 50
- 2025First Return, Entropy-Eliciting Explorecited by 45
- 2025Phi-4-Mini-Reasoning: Exploring the Limits of Small Reasoning Language Models in Mathcited by 44
- 2025Diversity-Aware Policy Optimization for Large Language Model Reasoningcited by 41
12 most cited of 56 All 56 (JSON)
- 2026Unfold The World: Factorize 4D Properties in Reinforcing Spatial Reasoning3 Sep 2026
- 2026Dynamic Important Example Mining for Reinforcement Finetuning29 Aug 2026
- 2026Evidence-Grounded Forensic Reasoning for Detecting and Grounding Multi-Modal Media Manipulation8 Aug 2026
- 2026ReCo: Reweighting GRPO Against Distributional Concentration29 Jul 2026
- 2026Manifold Bandits: Bayesian Curriculum Learning over the Latent Geometry of Large Language Models18 Jun 2026
- 2026AdaGRPO: A Capability-Aware Adaptive Enhancement for Flow-based GRPO5 Jun 2026
- 2026RLVR without Ineffective Samples: Group Prioritized Off-Policy Optimization for LLM Reasoning31 May 2026
- 2026SLAT: Segment-Level Adaptive Trimming for Efficient CoT Reasoning29 May 2026
- 2026Multi-Step Likelihood-Ratio Correction for Reinforcement Learning with Verifiable Rewards20 May 2026
- 2026Collaborative Multi-Agent Scripts Generation for Enhancing Imperfect-Information Reasoning in Murder Mystery Games13 Apr 2026
- 2026Train at Moving Edge: Online-Verified Prompt Selection for Efficient RL Training of Large Reasoning Model26 Mar 2026
- 2026KG-Hopper: Empowering Compact Open LLMs with Knowledge Graph Reasoning via Reinforcement Learning22 Mar 2026
12 newest of 56 All 56 (JSON)
- 2025The Landscape of Agentic Reinforcement Learning for LLMs: A Surveycited by 205
- 2026TRACE: A Unified Rollout Budget Allocation Framework for Efficient Agentic Reinforcement Learningcited by 10
- 2026SWE-Fuse: Empowering Software Agents via Issue-free Trajectory Learning and Entropy-aware RLVR Trainingcited by 1
- 2026Explicit Trajectory Diversity for RL-Based Post-Training of LLM Agentscited by 0
- 2026Explicit Trajectory Diversity for RL-Based Post-Training of LLM Agents30 Sep 2026
- 2026TRACE: A Unified Rollout Budget Allocation Framework for Efficient Agentic Reinforcement Learning9 Jun 2026
- 2026SWE-Fuse: Empowering Software Agents via Issue-free Trajectory Learning and Entropy-aware RLVR Training9 Mar 2026
- 2025The Landscape of Agentic Reinforcement Learning for LLMs: A Survey2 Sep 2025
- 2025Reinforcement Learning Meets Large Language Models: A Survey of Advancements and Applications Across the LLM Lifecyclecited by 35
- 2025TimeOmni-1: Incentivizing Complex Reasoning with Time Series in Large Language Modelscited by 27
- 2026LACONIC: Length-Aware Constrained Reinforcement Learning for LLMcited by 4
- 2026Early Verdicts, Better Budgets: Sequential Adaptive Rollout Allocation for Compute-Efficient RLVRcited by 2
- 2026MixSarc: A Bangla-English Code-Mixed Corpus for Implicit Meaning Identificationcited by 1
- 2026Experience Sharing in Mutual Reinforcement Learning for Heterogeneous Language Modelscited by 1
- 2026DISA: Offline Importance Sampling for Distribution-Matching LLM-RLcited by 0
- 2026Early Verdicts, Better Budgets: Sequential Adaptive Rollout Allocation for Compute-Efficient RLVR28 Jul 2026
- 2026DISA: Offline Importance Sampling for Distribution-Matching LLM-RL17 May 2026
- 2026Experience Sharing in Mutual Reinforcement Learning for Heterogeneous Language Models8 May 2026
- 2026MixSarc: A Bangla-English Code-Mixed Corpus for Implicit Meaning Identification25 Feb 2026
- 2026LACONIC: Length-Aware Constrained Reinforcement Learning for LLM16 Feb 2026
- 2025TimeOmni-1: Incentivizing Complex Reasoning with Time Series in Large Language Models29 Sep 2025
- 2025Reinforcement Learning Meets Large Language Models: A Survey of Advancements and Applications Across the LLM Lifecycle20 Sep 2025
Similar, not cited
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- 2025Slow-Fast Policy Optimization: Reposition-Before-Update for LLM Reasoning
- 2025A Survey of Reinforcement Learning for Large Reasoning Models
- 2025SRPO: Enhancing Multimodal LLM Reasoning via Reflection-Aware Reinforcement Learning
- 2025SSPO: Subsentence-level Policy Optimization
- 2025Scaf-GRPO: Scaffolded Group Relative Policy Optimization for Enhancing LLM Reasoning
- 2025Squeeze the Soaked Sponge: Efficient Off-policy Reinforcement Finetuning for Large Language Model
- 2025ScRPO: From Errors to Insights
- 2026Exploration-Driven Optimization for Test-Time Large Language Model Reasoning