mlsanityData to 14 Oct 2026

Learning What to Practice: Diagnosis-Guided Self-Evolution for Language Models

arXiv 2609.00768 ↗First posted 1 Sep 2026cs.AIcited by 1

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Abstract (arXiv)

Self-play supports the self-evolution of language models, but solver performance can plateau or decline across rounds without guidance. Existing unguided methods typically use difficulty, learnability, or diversity signals to keep questions challenging and varied, without identifying which unresolved reasoning weaknesses to target. Existing guided methods rely on external task resources such as human examples, document corpora, or specified difficulty targets. We introduce DiagEvo, which guides question generation using the solver's failure history from self-play, without external task resources. Its diagnostician extracts recurring error causes and stores them in an error-cause memory. The memory groups related causes under skill nodes and tracks each as Active or Mastered according to self-consistency on targeted questions. The challenger uses these states and recurrence counts to balance cause-targeted generation with free exploration. Double-confidence filtering retains intermediate-difficulty questions only when the most common solver answer has a clear vote lead. With the default 4B diagnostician, DiagEvo outperforms all baselines in mean accuracy across nine benchmarks for each solver: Qwen3-4B, Qwen3-8B, and OctoThinker-8B. On Qwen3-8B, DiagEvo reaches 72.3% mean accuracy across five mathematical reasoning benchmarks, 4.5 percentage points above R-Zero. Its overall mean accuracy across nine benchmarks is 57.4%, 3.5 percentage points above SPICE. Ablations show that mixed generation, memory-state updates with cross-state stitching, and double-confidence filtering contribute to these gains.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 38 of its 42 references that are in the map. First posted on arXiv 1 Sep 2026.

Builds on

38 of 42 references.

References · 38

  1. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  2. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
  3. 2020Measuring Massive Multitask Language Understandingcited by 7,963
  4. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
  5. 2023Reflexion: Language Agents with Verbal Reinforcement Learningcited by 4,276
  6. 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,879
  7. 2024MMLU-Pro: A More Robust and Challenging Multi-Task Language Understanding Benchmarkcited by 1,848
  8. 2025Search-R1: Training LLMs to Reason and Leverage Search Engines with Reinforcement Learningcited by 1,444
  9. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,392
  10. 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,136
  11. 2023ExpeL: LLM Agents Are Experiential Learnerscited by 876
  12. 2025Agentic Context Engineering: Evolving Contexts for Self-Improving Language Modelscited by 398
26 more
  1. 2025Absolute Zero: Reinforced Self-play Reasoning with Zero Datacited by 344
  2. 2025ReasoningBank: Scaling Agent Self-Evolving with Reasoning Memorycited by 284
  3. 2026SkillRL: Evolving Agents via Recursive Skill-Augmented Reinforcement Learningcited by 278
  4. 2025TTRL: Test-Time Reinforcement Learningcited by 275
  5. 2025R-Zero: Self-Evolving Reasoning LLM from Zero Datacited by 228
  6. 2025EvolveR: Self-Evolving LLM Agents through an Experience-Driven Lifecyclecited by 137
  7. 2025Right Question is Already Half the Answer: Fully Unsupervised LLM Reasoning Incentivizationcited by 128
  8. 2025BIG-Bench Extra Hardcited by 125
  9. 2025Online Difficulty Filtering for Reasoning Oriented Reinforcement Learningcited by 104
  10. 2024A Survey on Self-Evolution of Large Language Modelscited by 91
  11. 2025SPICE: Self-Play In Corpus Environments Improves Reasoningcited by 83
  12. 2025Agent0: Unleashing Self-Evolving Agents from Zero Data via Tool-Integrated Reasoningcited by 75
  13. 2024AutoGuide: Automated Generation and Selection of Context-Aware Guidelines for Large Language Model Agentscited by 74
  14. 2025Remember Me, Refine Me: A Dynamic Procedural Memory Framework for Experience-Driven Agent Evolutioncited by 73
  15. 2025Can Large Reasoning Models Self-Train?cited by 68
  16. 2025Confidence Is All You Need: Few-Shot RL Fine-Tuning of Language Modelscited by 62
  17. 2025Beyond Pass@1: Self-Play with Variational Problem Synthesis Sustains RLVRcited by 54
  18. 2025Contextual Experience Replay for Self-Improvement of Language Agentscited by 48
  19. 2025Consistent Paths Lead to Truth: Self-Rewarding Reinforcement Learning for LLM Reasoningcited by 46
  20. 2025Guided Self-Evolving LLMs with Minimal Human Supervisioncited by 35
  21. 2025Co-rewarding: Stable Self-supervised RL for Eliciting Reasoning in Large Language Modelscited by 23
  22. 2026RSIBench-Data: Benchmarking Data-Centric Research for Recursive Self-Improvementcited by 18
  23. 2026AI4AI-Bench: Benchmarking LLM Agents in Algorithmic Design for Recursive Self-Improvementcited by 11
  24. 2025Self-Harmony: Learning to Harmonize Self-Supervision and Self-Play in Test-Time Reinforcement Learningcited by 10
  25. 2026Self-Play Meets Skill Evolution: Self-Evolving Search Agents that Pose, Solve, and Remembercited by 7
  26. 2026DARC: Decoupled Asymmetric Reasoning Curriculum for LLM Evolutioncited by 6

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Citing papers per year: 2026: 1.

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  1. 2026Questioning the Questions: Sustaining Self-Evolution in Reasoning Models
  2. 2026INFUSER: Influence-Guided Self-Evolution Improves Reasoning
  3. 2025Self-Questioning Language Models
  4. 2026A Wrong Turn Does Not Ruin the Journey: Deviation-Guided Skill Self-Evolution for LLM Agents
  5. 2026ERSkill: Evolving for Skill-Guided Adaptive Memory Retrieval
  6. 2026Search-E1: Self-Distillation Drives Self-Evolution in Search-Augmented Reasoning
  7. 2025The Path of Self-Evolving Large Language Models: Achieving Data-Efficient Learning via Intrinsic Feedback
  8. 2026SCOPE: Self-Play via Co-Evolving Policies for Open-Ended Tasks