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Self-Improving Large Language Models via Progressive Experience Evolution

Research LLMs & Foundation Models

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TL;DR - SPEE (Self-Progressive Experience Evolution) is a post-training framework that bridges test-time experience extraction and training-time policy optimization by adding an explicit "experience distillation" stage, so transient interaction experience becomes persistent model parameters. It matters because it addresses a structural gap in self-improving LLM pipelines rather than just tuning an existing one.

  • Two-stage design: explicit experience evolution (reflect on multi-interaction trajectories to extract, verify, and evolve transferable experience) followed by implicit reward-driven RL policy optimization that explores new strategies using the internalized priors.
  • Experience is internalized via privilege-guided On-Policy Self-Distillation (OPSD), the intermediate mechanism the authors argue is missing from existing paradigms.
  • A continuously evolving global experience pool consolidates both successful and failed trajectories, filters low-utility experience, and mitigates post-hoc rationalization from individual trajectories.
  • Evaluated on five mathematical reasoning benchmarks across three model scales, reported to consistently beat both test-time and training-time self-evolution baselines; code released at github.com/rrrsj/SPEE.

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Self-Improving Large Language Models via Progressive Experience Evolution

arXiv cs.CL Shijie Ren, Xiting Wang, Meng Li, Yujie Guo, Yunhang Yao, Ziheng Peng, Xunlong Wang, Yuetan Chen, Haoyang Zhou, Yunlong Liang, Fandong Meng 2026-08-03 arXiv:2608.02139
Public signals Semantic Scholar citations 0 · Semantic Scholar influential citations 0
Providers: Hugging Face · N/A OpenAlex · N/A Publisher · N/A Semantic Scholar · Citations 0 · Influential citations 0 X · N/A Fetched 2026-08-28 14:28:52.481794 UTC

TL;DR - SPEE (Self-Progressive Experience Evolution) is a post-training framework that bridges test-time experience extraction and training-time policy optimization by adding an explicit "experience distillation" stage, so transient interaction experience becomes persistent model parameters. It matters because it addresses a structural gap in self-improving LLM pipelines rather than just tuning an existing one.

  • Two-stage design: explicit experience evolution (reflect on multi-interaction trajectories to extract, verify, and evolve transferable experience) followed by implicit reward-driven RL policy optimization that explores new strategies using the internalized priors.
  • Experience is internalized via privilege-guided On-Policy Self-Distillation (OPSD), the intermediate mechanism the authors argue is missing from existing paradigms.
  • A continuously evolving global experience pool consolidates both successful and failed trajectories, filters low-utility experience, and mitigates post-hoc rationalization from individual trajectories.
  • Evaluated on five mathematical reasoning benchmarks across three model scales, reported to consistently beat both test-time and training-time self-evolution baselines; code released at github.com/rrrsj/SPEE.
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