Recursive Criticality of AI Self-Improvement

arXiv:2609.00137 · cs.AI · Submitted 2026-08-31 · Read on arXiv

cs.AI

Submitted: 2026-08-31

Updated: 2026-08-31

Code: https://github.com/burtsev/recursive-criticality-ai

Terminology

• Actor — 46× in this paper · explained in 3 episodes
• Benchmark — 4× in this paper · explained in 2 episodes
• Dynamical regimes — 4× in this paper · explained in 2 episodes
• AI Agents — 1× in this paper · explained in 2 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Calibration — 1× in this paper · explained in 7 episodes
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• A Mathematical Framework for AI Singularity: Conditions, Bounds, and Control of Recursive Improvement
• Recursive Self-Improvement in AI: From Bounded Self-Refinement to Autonomous Research Loops
• From AGI to ASI
• A Rosetta Stone for AI Benchmarks
• Measuring AI R&D Automation
• Algorithmic progress in language models
• On the Origin of Algorithmic Progress in AI
• Will Compute Bottlenecks Prevent an Intelligence Explosion?

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