Reproduce “The Last AI Built by Humans: Toward Genuine Recursive Self-Improvement” on OpenResearch

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About this paper

Yi Duan, Ying Liu, Zirui Tang, Haodong Chen, Jun Zhou, Yumou Liu, Bangrui Xu, Yukai Wu and 27 more

The paper proposes recursive self-improvement (RSI), a framework for analyzing whether feedback persists in an AI system and shapes later improvement. It defines levels L1 to L5 and surveys evidence. The authors’ headroom-closed index (HCI) reports tool use at 39.9 versus 85.8 for graduate science; A-Evolve-Training reached a reported 0.86 after four rounds, while reliable L5 accumulation remains open.

Key insights

  • Most surveyed work remains at L1 or L2: 215 studies automate improvement execution and 155 select among improvement strategies, compared with only 64 at L3, 28 at L4, and 29 at L5.
  • Progress is uneven across capabilities: by 2026, HCI values reach 86.4 for advanced mathematics and 85.8 for graduate-level science, but only 52.6 for software engineering, 56.8 for search and terminal agents, and 39.9 for tool use.
  • Software engineering offers the clearest testbed because code and tests provide executable feedback, but passing tests is not sufficient evidence of security, maintainability, or alignment with user intent; healthcare and embodied settings impose substantially harder verification and safety constraints.

Summary by alphaXiv.

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