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Adaptive depth

RecurTrace

RecurTrace: Adaptive Latent Reasoning with Loop-Time Memory

Yuxiang Wang, Kunyu Feng, Yingda Shen, Haoning Xu, Junyu Wang, Zhizheng Wu

Improves middle-layer latent recurrence in two ways: Loop Memory Attention lets each looped layer attend to its own states from earlier iterations along the loop-time axis, and a halting head trained with oracle labels decides when extra depth still reduces loss.

Inside the method

Lower layers → [ Middle block + loop-memory attention ] × r (halting head) → upper layers

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

Recurrence family
Adaptive depth
Depth control
Learned halting from oracle supervision
KV / state strategy
Each looped layer attends to its own earlier-iteration states

Reading note

On MathQA with the same looped backbone it reaches 56.9% with 2.0 loops on average, 2.2 points above the best fixed depth at matched compute, while ACT and PonderNet collapse to one loop. Gains over same-budget fine-tuning grow from 0.6B to 8B.

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

Related works

Cite this work

@misc{recurtrace2026,
  title = {RecurTrace: Adaptive Latent Reasoning with Loop-Time Memory},
  author = {Yuxiang Wang and Kunyu Feng and Yingda Shen and Haoning Xu and Junyu Wang and Zhizheng Wu},
  year = {2026},
  eprint = {2609.03379},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.03379}
}

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