The Last AI Built by Humans: Toward Genuine Recursive Self-Improvement

Yi Duan, Ying Liu, Zirui Tang, Haodong Chen, Jun Zhou, Yumou Liu, Bangrui Xu, Yukai Wu and 25 others

Shanghai Jiao Tong University · Theseus Labs · Tsinghua University · ByteDance · ModelBest · Xiaohongshu Inc.

Published September 10, 2026 · on the feed September 16, 2026 · ▲ 17 · arXiv 2609.11873

AgentsRobotics & embodiedCode & software Empty repo arXiv ↗Hugging Face ↗

The abstract

Recursive self-improvement (RSI) enables AI systems to turn experience and feedback into persistent changes that improve both their capabilities and the process of future improvement. We first use the Headroom-Closed Index (HCI) to reveal the problems of existing LLMs, then introduce the RSI concept and its development roadmap: from improvement-execution autonomy, improvement-strategy autonomy, experience-acquisition autonomy, and environment-adaptation autonomy, to recursive meta-improvement. Next we examine RSI across scenarios (e.g., scientific discovery, embodied intelligence, software engineering), highlighting their distinct requirements and development speeds. Drawing on diverse industry practices and preliminary empirical evidence, we connect RSI research with practical systems and identify key challenges to achieving genuine RSI.

The Brief

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A short podcast summary of the paper. Written and voiced by AI.

Transcript

The Last AI Built by Humans. Toward Genuine Recursive Self-Improvement. By Yi Duan and thirty-two others, from Shanghai Jiao Tong University, Theseus Labs, and eight other institutions. Published on the tenth of September. Its code repository is a placeholder: a readme, and nothing to run yet.

Recursive self-improvement, or RSI, is the ability of an AI system to turn experience and feedback into persistent changes. Those changes improve two things at once: what the system can do, and the process by which it will improve next time. The paper opens by using a measure called the Headroom-Closed Index, or HCI, to expose problems in existing LLMs, as the motivation for everything that follows.

The organising device is a development roadmap in stages of autonomy. It begins with improvement-execution autonomy, then improvement-strategy autonomy, then experience-acquisition autonomy, then environment-adaptation autonomy, and it ends at recursive meta-improvement. The paper then examines RSI across scenarios, with scientific discovery, embodied intelligence and software engineering among the examples, and highlights that each has distinct requirements and develops at a different speed.

Drawing on a range of industry practices and on preliminary empirical evidence, the authors connect RSI research with practical systems, and identify the key challenges that stand between current systems and what they call genuine RSI. The scenarios matter to the argument because the roadmap is not climbed at one pace everywhere. A field with different requirements may sit at a different rung.

What the roadmap supplies is a ladder. Treating autonomy as a sequence of stages, from executing an improvement to improving the way improvement happens, gives a way to say where a given system sits and what it would need next.

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