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Full-stack recurrence

LoopOPD

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

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

Uses a looped model's own terminal loop as a compute-privileged teacher for an intermediate-loop student on student-generated rollouts. The dynamic variant keeps refreshing the teacher as shared weights update, giving recurrent self-improvement without an external teacher.

Inside the method

Terminal-loop policy (teacher) → intermediate-loop policy (student), on-policy

Simplified conceptual schematic. Consult the paper for the complete architecture.

Recurrence family
Full-stack recurrence
Depth control
Supervision flows from deeper to shallower loops
KV / state strategy
See paper

Reading note

On Ouro-Thinking models, LoopOPD improves mathematical reasoning and the dynamic variant adds further gains; training only on math also helps general reasoning and code. Code and checkpoints are promised upon acceptance.

Sources checked 2026-10-28. This catalog does not imply independent reproduction.

Related works

Cite this work

@misc{loopopd2026,
  title = {Recurrent Self-Improvement: Dynamic Cross-Loop On-Policy Distillation for Looped Language Models},
  author = {Yi Wang and Rui Qian and Yu Li and Haoyang Yao and Wenjie Wang},
  year = {2026},
  eprint = {2610.10623},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.10623}
}

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