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Adaptive depth

TAPS

Scheduling Recursive Reasoning in Looped Transformers

Boyuan Wang, Chengyao Yu, Jiaxi Ren, Hongxin Wei, Bingyi Jing, Yuxin Tao

Adapts the scale of each recurrent update online. The Trajectory Adaptive Progress-Fluctuation Scheduler decomposes sensitivity of the terminal loss into persistent progress and fluctuation terms and adjusts the step size accordingly, at inference without retraining or also during training.

Inside the method

state ← state + η_t · update, η_t from progress vs fluctuation

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

Recurrence family
Adaptive depth
Depth control
Fixed loops with adaptive update scale
KV / state strategy
See paper

Reading note

Improves terminal accuracy on structured reasoning tasks across several recurrent architectures; when used in training, reaches baseline accuracy with up to 1.56× wall-clock speedup. Provides sufficient conditions for fewer loops to a target quality.

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

Related works

Cite this work

@misc{taps2026,
  title = {Scheduling Recursive Reasoning in Looped Transformers},
  author = {Boyuan Wang and Chengyao Yu and Jiaxi Ren and Hongxin Wei and Bingyi Jing and Yuxin Tao},
  year = {2026},
  eprint = {2609.36653},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.36653}
}

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