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Looped Transformers for Length Generalization

Looped Transformers for Length Generalization

Ying Fan, Yilun Du, Kannan Ramchandran, Kangwook Lee

Shows that looped transformers with an adaptive number of steps generalize to unseen input lengths on tasks with known iterative solutions built from repeated RASP-L operations, using a dedicated training algorithm.

Inside the method

[ Looped block ] × n(input length)

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

Recurrence family
Adaptive depth
Depth control
Steps scale with input length
KV / state strategy
See paper

Reading note

Learns highly length-generalizable solutions on tasks such as parity and addition where standard transformers fail to extrapolate.

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

Related works

Cite this work

@misc{loopedlengthgeneralization2024,
  title = {Looped Transformers for Length Generalization},
  author = {Ying Fan and Yilun Du and Kannan Ramchandran and Kangwook Lee},
  year = {2024},
  eprint = {2409.15647},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2409.15647}
}

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