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Core recurrence

LoOPSD

LoOPSD: On-Policy Self-Distillation with Looped Teachers

Wei Fan, Qingyue Yang, Chao-Hong Tan, Qian Chen, Wen Wang, Xiangang Li, Kejiang Chen, Weiming Zhang, Nenghai Yu

Builds a stronger teacher from the same frozen weights by searching which layers to repeat, then distills that looped teacher's predictions on student-generated prefixes back into the student, alternating search and distillation over several rounds.

Inside the method

Search repeated layers → looped teacher → on-policy distillation → repeat

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

Recurrence family
Core recurrence
Depth control
Teacher repeats searched layers; student runs a single pass
KV / state strategy
See paper

Reading note

On GSM8K with a 400-token thinking budget, Qwen3-1.7B rises from 42.30% to 79.61%, with further gains in later rounds. Evaluated on mathematical and logical reasoning tasks.

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

Related works

Cite this work

@misc{loopsd2026,
  title = {LoOPSD: On-Policy Self-Distillation with Looped Teachers},
  author = {Wei Fan and Qingyue Yang and Chao-Hong Tan and Qian Chen and Wen Wang and Xiangang Li and Kejiang Chen and Weiming Zhang and Nenghai Yu},
  year = {2026},
  eprint = {2610.18162},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18162}
}

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