Reflect, Retry, Reward: Self-Improving LLMs via Reinforcement Learning
On the map: Synthetic data and self-improvement for LLMs → Self-rewarding alignment and self-training
Abstract (arXiv)
We explore a method for improving the performance of large language models through self-reflection and reinforcement learning. By incentivizing the model to generate better self-reflections when it answers incorrectly, we demonstrate that a model's ability to solve complex, verifiable tasks can be enhanced even when generating synthetic data is infeasible and only binary feedback is available. Our framework operates in two stages: first, upon failing a given task, the model generates a self-reflective commentary analyzing its previous attempt; second, the model is given another attempt at the task with the self-reflection in context. If the subsequent attempt succeeds, the tokens generated during the self-reflection phase are rewarded. Our experimental results show substantial performance gains across a variety of model architectures, as high as 34.7% improvement at math equation writing and 18.1% improvement at function calling. Notably, smaller fine-tuned models (1.5 billion to 7 billion parameters) outperform models in the same family that are 10 times larger. Our novel paradigm is thus an exciting pathway to more useful and reliable language models that can self-improve on challenging tasks with limited external feedback.
Key facts. Cited by 33 papers in the map (data through 14 Oct 2026). Placed in Self-rewarding alignment and self-training, one of 13 directions in Synthetic data and self-improvement for LLMs. Builds on 30 of its 43 references that are in the map. First posted on arXiv 30 May 2025.
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30 of 43 references.
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Other references · 29
- 2017Proximal Policy Optimization Algorithmscited by 15,215
- 2015Distilling the Knowledge in a Neural Networkcited by 10,324
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
- 2023Judging LLM-as-a-Judge with MT-Bench and Chatbot Arenacited by 8,626
- 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,944
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
- 2023Reflexion: Language Agents with Verbal Reinforcement Learningcited by 4,276
- 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,100
- 2016Learning without Forgettingcited by 2,496
- 2024Phi-3 Technical Report: A Highly Capable Language Model Locally on Your Phonecited by 1,917
- 2017Gradient Episodic Memory for Continual Learningcited by 1,898
17 more
- 2024MMLU-Pro: A More Robust and Challenging Multi-Task Language Understanding Benchmarkcited by 1,848
- 2023Large Language Models Cannot Self-Correct Reasoning Yetcited by 1,017
- 2024A Survey on Large Language Models for Code Generationcited by 658
- 2022Towards Reasoning in Large Language Models: A Surveycited by 596
- 2023Language Models can Solve Computer Taskscited by 372
- 2025ToolRL: Reward is All Tool Learning Needscited by 362
- 2023Check Your Facts and Try Again: Improving Large Language Models with External Knowledge and Automated Feedbackcited by 353
- 2022Re3: Generating Longer Stories With Recursive Reprompting and Revisioncited by 193
- 2023Understanding Catastrophic Forgetting in Language Models via Implicit Inferencecited by 144
- 2025GRPO-LEAD: A Difficulty-Aware Reinforcement Learning Approach for Concise Mathematical Reasoning in Language Modelscited by 82
- 2024Self-Contrast: Better Reflection Through Inconsistent Solving Perspectivescited by 71
- 2025Learning Adaptive Parallel Reasoning with Language Modelscited by 58
- 2024Easy Problems That LLMs Get Wrongcited by 30
- 2025LEMMA: Learning from Errors for MatheMatical Advancement in LLMscited by 21
- 2023Limits for Learning with Language Modelscited by 17
- 2024Rethinking Chain-of-Thought from the Perspective of Self-Trainingcited by 10
- 2025Instruct-of-Reflection: Enhancing Large Language Models Iterative Reflection Capabilities via Dynamic-Meta Instructioncited by 10
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Citing papers per year: 2025: 11; 2026: 22.
33 papers.
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- 2025A Survey of Context Engineering for Large Language Modelscited by 126
- 2026A Survey of Agentic Reasoning for Large Language Models: Towards Recursively Self-Improving and Collective Agentscited by 50
- 2026Self-Improvements in Modern Agentic Systems: A Surveycited by 19
- 2025Mitigating LLM Hallucination via Behaviorally Calibrated Reinforcement Learningcited by 18
- 2025Semantic-Space Exploration and Exploitation in RLVR for LLM Reasoningcited by 17
- 2026Accurate Failure Prediction in Agents Does Not Imply Effective Failure Preventioncited by 15
- 2025Linking Process to Outcome: Conditional Reward Modeling for LLM Reasoningcited by 14
- 2025Retrieval-of-Thought: Efficient Reasoning via Reusing Thoughtscited by 12
- 2026R3L: Reflect-then-Retry Reinforcement Learning with Language-Guided Exploration, Pivotal Credit, and Positive Amplificationcited by 12
- 2025SaFeR-VLM: Toward Safety-aware Fine-grained Reasoning in Multimodal Modelscited by 10
- 2026Retrospective Progress-Aware Self-Refinement for LLM Agent Trainingcited by 6
- 2026Self-Improving World Modelling with Latent Actionscited by 5
21 more
- 2026Self-Improvement of Large Language Models: A Technical Overview and Future Outlookcited by 5
- 2025PVPO: Pre-Estimated Value-Based Policy Optimization for Agentic Reasoningcited by 4
- 2025Self-Reflective Generation at Test Timecited by 3
- 2025Deep Self-Evolving Reasoningcited by 3
- 2026Agent Reinforcement Learning via Pivotal-Aware Self-Feedback Retrycited by 3
- 2026Reflecting Twice before Speaking with Empathy: Self-Reflective Alternating Inference for Empathy-Aware End-to-End Spoken Dialoguecited by 2
- 2026Bifrost: Steering Strategic Trajectories to Bridge Contextual Gaps for Self-Improving Agentscited by 2
- 2026Learning Stateful Predictive Knowledge From Experiencecited by 2
- 2025ScRPO: From Errors to Insightscited by 1
- 2026M3-AD: Reflection-aware Multi-modal, Multi-category, and Multi-dimensional Benchmark and Framework for Industrial Anomaly Detectioncited by 1
- 2026Listening to the Echo: User-Reaction Aware Policy Optimization via Scalar-Verbal Hybrid Reinforcement Learningcited by 1
- 2025Input-Time Scaling: Adding Noise and Irrelevance into Less-Is-More Drastically Improves Reasoning Performance and Efficiencycited by 0
- 2026Jenius Agent: Towards Experience-Driven Accuracy Optimization in Real-World Scenarioscited by 0
- 2026Position: Introspective Experience from Conversational Environments as a Path to Better Learningcited by 0
- 2026AIPO: Learning to Reason from Active Interactioncited by 0
- 2026Empowering VLMs for Few-Shot Multimodal Time Series Classification via Tailored Agentic Reasoningcited by 0
- 2026ReSum: Synergizing LLM Reasoning and Summarization with Reinforcement Learningcited by 0
- 2026Reflective Recovery: A Self-Supervised Method for Reasoning by Learning from Mistakescited by 0
- 2026Reinforcement Learning with Decomposed Subtaskscited by 0
- 2026My FAULT: Self-Diagnosis as Credit Assignment in Self-Evolving Agentic Reinforcement Learningcited by 0
- 2026Lifted State Policy Optimization: Internalizing Self-Correction through Transition Geometrycited by 0
- 2026Lifted State Policy Optimization: Internalizing Self-Correction through Transition Geometry14 Oct 2026
- 2026My FAULT: Self-Diagnosis as Credit Assignment in Self-Evolving Agentic Reinforcement Learning1 Oct 2026
- 2026Reinforcement Learning with Decomposed Subtasks22 Sep 2026
- 2026Reflective Recovery: A Self-Supervised Method for Reasoning by Learning from Mistakes24 Jul 2026
- 2026Self-Improvements in Modern Agentic Systems: A Survey14 Jul 2026
- 2026Agent Reinforcement Learning via Pivotal-Aware Self-Feedback Retry4 Jul 2026
- 2026Retrospective Progress-Aware Self-Refinement for LLM Agent Training12 Jun 2026
- 2026ReSum: Synergizing LLM Reasoning and Summarization with Reinforcement Learning11 Jun 2026
- 2026Learning Stateful Predictive Knowledge From Experience19 May 2026
- 2026Empowering VLMs for Few-Shot Multimodal Time Series Classification via Tailored Agentic Reasoning10 May 2026
- 2026AIPO: Learning to Reason from Active Interaction8 May 2026
- 2026Self-Improvement of Large Language Models: A Technical Overview and Future Outlook26 Mar 2026
21 more
- 2026Listening to the Echo: User-Reaction Aware Policy Optimization via Scalar-Verbal Hybrid Reinforcement Learning16 Mar 2026
- 2026Position: Introspective Experience from Conversational Environments as a Path to Better Learning16 Feb 2026
- 2026M3-AD: Reflection-aware Multi-modal, Multi-category, and Multi-dimensional Benchmark and Framework for Industrial Anomaly Detection10 Feb 2026
- 2026Self-Improving World Modelling with Latent Actions5 Feb 2026
- 2026Bifrost: Steering Strategic Trajectories to Bridge Contextual Gaps for Self-Improving Agents5 Feb 2026
- 2026Accurate Failure Prediction in Agents Does Not Imply Effective Failure Prevention3 Feb 2026
- 2026Reflecting Twice before Speaking with Empathy: Self-Reflective Alternating Inference for Empathy-Aware End-to-End Spoken Dialogue26 Jan 2026
- 2026A Survey of Agentic Reasoning for Large Language Models: Towards Recursively Self-Improving and Collective Agents18 Jan 2026
- 2026R3L: Reflect-then-Retry Reinforcement Learning with Language-Guided Exploration, Pivotal Credit, and Positive Amplification7 Jan 2026
- 2026Jenius Agent: Towards Experience-Driven Accuracy Optimization in Real-World Scenarios5 Jan 2026
- 2025Mitigating LLM Hallucination via Behaviorally Calibrated Reinforcement Learning22 Dec 2025
- 2025ScRPO: From Errors to Insights8 Nov 2025
- 2025Deep Self-Evolving Reasoning20 Oct 2025
- 2025SaFeR-VLM: Toward Safety-aware Fine-grained Reasoning in Multimodal Models8 Oct 2025
- 2025Self-Reflective Generation at Test Time3 Oct 2025
- 2025Linking Process to Outcome: Conditional Reward Modeling for LLM Reasoning30 Sep 2025
- 2025Semantic-Space Exploration and Exploitation in RLVR for LLM Reasoning28 Sep 2025
- 2025Retrieval-of-Thought: Efficient Reasoning via Reusing Thoughts26 Sep 2025
- 2025PVPO: Pre-Estimated Value-Based Policy Optimization for Agentic Reasoning28 Aug 2025
- 2025Input-Time Scaling: Adding Noise and Irrelevance into Less-Is-More Drastically Improves Reasoning Performance and Efficiency19 Aug 2025
- 2025A Survey of Context Engineering for Large Language Models17 Jul 2025
- 2026A Survey of Agentic Reasoning for Large Language Models: Towards Recursively Self-Improving and Collective Agentscited by 50
- 2025Semantic-Space Exploration and Exploitation in RLVR for LLM Reasoningcited by 17
- 2025Linking Process to Outcome: Conditional Reward Modeling for LLM Reasoningcited by 14
- 2025Retrieval-of-Thought: Efficient Reasoning via Reusing Thoughtscited by 12
- 2026R3L: Reflect-then-Retry Reinforcement Learning with Language-Guided Exploration, Pivotal Credit, and Positive Amplificationcited by 12
- 2025SaFeR-VLM: Toward Safety-aware Fine-grained Reasoning in Multimodal Modelscited by 10
- 2025Self-Reflective Generation at Test Timecited by 3
- 2025Deep Self-Evolving Reasoningcited by 3
- 2025ScRPO: From Errors to Insightscited by 1
- 2025Input-Time Scaling: Adding Noise and Irrelevance into Less-Is-More Drastically Improves Reasoning Performance and Efficiencycited by 0
- 2026AIPO: Learning to Reason from Active Interactioncited by 0
- 2026ReSum: Synergizing LLM Reasoning and Summarization with Reinforcement Learningcited by 0
12 most cited of 14 All 14 (JSON)
- 2026Reinforcement Learning with Decomposed Subtasks22 Sep 2026
- 2026Reflective Recovery: A Self-Supervised Method for Reasoning by Learning from Mistakes24 Jul 2026
- 2026ReSum: Synergizing LLM Reasoning and Summarization with Reinforcement Learning11 Jun 2026
- 2026AIPO: Learning to Reason from Active Interaction8 May 2026
- 2026A Survey of Agentic Reasoning for Large Language Models: Towards Recursively Self-Improving and Collective Agents18 Jan 2026
- 2026R3L: Reflect-then-Retry Reinforcement Learning with Language-Guided Exploration, Pivotal Credit, and Positive Amplification7 Jan 2026
- 2025ScRPO: From Errors to Insights8 Nov 2025
- 2025Deep Self-Evolving Reasoning20 Oct 2025
- 2025SaFeR-VLM: Toward Safety-aware Fine-grained Reasoning in Multimodal Models8 Oct 2025
- 2025Self-Reflective Generation at Test Time3 Oct 2025
- 2025Linking Process to Outcome: Conditional Reward Modeling for LLM Reasoning30 Sep 2025
- 2025Semantic-Space Exploration and Exploitation in RLVR for LLM Reasoning28 Sep 2025
12 newest of 14 All 14 (JSON)
- 2026Self-Improvements in Modern Agentic Systems: A Surveycited by 19
- 2026Accurate Failure Prediction in Agents Does Not Imply Effective Failure Preventioncited by 15
- 2026Retrospective Progress-Aware Self-Refinement for LLM Agent Trainingcited by 6
- 2025PVPO: Pre-Estimated Value-Based Policy Optimization for Agentic Reasoningcited by 4
- 2026Agent Reinforcement Learning via Pivotal-Aware Self-Feedback Retrycited by 3
- 2026Jenius Agent: Towards Experience-Driven Accuracy Optimization in Real-World Scenarioscited by 0
- 2026Empowering VLMs for Few-Shot Multimodal Time Series Classification via Tailored Agentic Reasoningcited by 0
- 2026My FAULT: Self-Diagnosis as Credit Assignment in Self-Evolving Agentic Reinforcement Learningcited by 0
- 2026My FAULT: Self-Diagnosis as Credit Assignment in Self-Evolving Agentic Reinforcement Learning1 Oct 2026
- 2026Self-Improvements in Modern Agentic Systems: A Survey14 Jul 2026
- 2026Agent Reinforcement Learning via Pivotal-Aware Self-Feedback Retry4 Jul 2026
- 2026Retrospective Progress-Aware Self-Refinement for LLM Agent Training12 Jun 2026
- 2026Empowering VLMs for Few-Shot Multimodal Time Series Classification via Tailored Agentic Reasoning10 May 2026
- 2026Accurate Failure Prediction in Agents Does Not Imply Effective Failure Prevention3 Feb 2026
- 2026Jenius Agent: Towards Experience-Driven Accuracy Optimization in Real-World Scenarios5 Jan 2026
- 2025PVPO: Pre-Estimated Value-Based Policy Optimization for Agentic Reasoning28 Aug 2025
- 2026Self-Improving World Modelling with Latent Actionscited by 5
- 2026Self-Improving World Modelling with Latent Actions5 Feb 2026
- 2025A Survey of Context Engineering for Large Language Modelscited by 126
- 2025Mitigating LLM Hallucination via Behaviorally Calibrated Reinforcement Learningcited by 18
- 2026Reflecting Twice before Speaking with Empathy: Self-Reflective Alternating Inference for Empathy-Aware End-to-End Spoken Dialoguecited by 2
- 2026Learning Stateful Predictive Knowledge From Experiencecited by 2
- 2026M3-AD: Reflection-aware Multi-modal, Multi-category, and Multi-dimensional Benchmark and Framework for Industrial Anomaly Detectioncited by 1
- 2026Position: Introspective Experience from Conversational Environments as a Path to Better Learningcited by 0
- 2026Learning Stateful Predictive Knowledge From Experience19 May 2026
- 2026Position: Introspective Experience from Conversational Environments as a Path to Better Learning16 Feb 2026
- 2026M3-AD: Reflection-aware Multi-modal, Multi-category, and Multi-dimensional Benchmark and Framework for Industrial Anomaly Detection10 Feb 2026
- 2026Reflecting Twice before Speaking with Empathy: Self-Reflective Alternating Inference for Empathy-Aware End-to-End Spoken Dialogue26 Jan 2026
- 2025Mitigating LLM Hallucination via Behaviorally Calibrated Reinforcement Learning22 Dec 2025
- 2025A Survey of Context Engineering for Large Language Models17 Jul 2025
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