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Full-stack recurrence

SHIFT

What Makes Looped Transformers Perform Better Than Non-Recursive Ones

Zixuan Gong, Yong Liu, Jiaye Teng

Explains why looped transformers beat non-recursive ones on complex reasoning through loss-landscape geometry: recursion biases training toward steep V-shaped river valleys, where valley hopping speeds convergence along the river. This motivates SHIFT, a staged progressive training schedule.

Inside the method

[ Shared attention block ] × L — staged hierarchical training

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

Recurrence family
Full-stack recurrence
Depth control
Fixed loops
KV / state strategy
See paper

Reading note

The landscape account is a conjecture supported by sample- and Hessian-level observations. SHIFT accelerates training of looped models while reaching comparable performance.

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

Related works

Cite this work

@misc{shift2025,
  title = {What Makes Looped Transformers Perform Better Than Non-Recursive Ones},
  author = {Zixuan Gong and Yong Liu and Jiaye Teng},
  year = {2025},
  eprint = {2510.10089},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2510.10089}
}

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