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Full-stack recurrence

LoopFold

LoopFold: Parallelizing Recurrent Depth in Looped Transformers

Feichen Song, Boyi Zeng, Yiqin Hao, Shixiang Song, He Li, Yizhou Yang, Zitong Wang, Yifan Liu, Ziwei He, Zhouhan Lin

Cuts the sequential latency of deep looped models by folding several recurrent depths into one parallel batch for the same prefix. A lightweight predictor guesses the inputs of later loops so they can start early, and a corrector refines them once earlier loops finish; everything is trained with the ordinary next-token loss.

Inside the method

Prefix → [ Loop 1 ‖ predicted Loops 2…k ] → Corrector → Next token

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

Recurrence family
Full-stack recurrence
Depth control
Fixed loop count executed in fewer sequential stages
KV / state strategy
See paper

Reading note

With 1.4B models, deeper LoopFold settings raise the eight-task zero-shot average from 53.41% to 56.38%, where vanilla looping and PLT gain little. The 46% decoding-latency reduction versus a nine-loop model uses five sequential stages plus extra parallel compute.

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

Related works

Cite this work

@misc{loopfold2026,
  title = {LoopFold: Parallelizing Recurrent Depth in Looped Transformers},
  author = {Feichen Song and Boyi Zeng and Yiqin Hao and Shixiang Song and He Li and Yizhou Yang and Zitong Wang and Yifan Liu and Ziwei He and Zhouhan Lin},
  year = {2026},
  eprint = {2610.35556},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35556}
}

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