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Recurrent Self-Improvement: Dynamic Cross-Loop On-Policy Distillation for Looped Language Models

Yi Wang, Rui Qian, Yu Li, Haoyang Yao, Wenjie Wang

Trains an intermediate loop using a deeper loop of the same language model as its teacher on student-generated outputs. A dynamic variant refreshes the teacher during training, turning additional recurrent computation into a source of supervision.

First public: · Added to this list: October 18, 2026

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arXiv:2610.10623 · Initial submission: 2026-10-07

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Recurrent reasoning — Repeat parts of the model or keep intermediate information in memory while working through a problem. Some methods also learn how many passes to run.

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