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Core recurrence

Loop, Think & Generalize

Loop, Think, & Generalize: Implicit Reasoning in Recurrent-Depth Transformers

Harsh Kohli, Srinivasan Parthasarathy, Huan Sun, Yuekun Yao

Studies implicit multi-hop reasoning in recurrent-depth transformers trained from scratch, covering systematic generalization over never-composed facts and depth extrapolation from up to 5-hop training to deeper compositions.

Inside the method

[ Shared layers ] × r — more iterations for more hops

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

Recurrence family
Core recurrence
Depth control
Scaling inference-time recurrence for deeper reasoning
KV / state strategy
See paper

Reading note

Systematic generalization emerges through a three-stage grokking process; depth extrapolation is unlocked by more inference-time iterations, where vanilla transformers fail at both.

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

Related works

Cite this work

@misc{loopthinkgeneralize2026,
  title = {Loop, Think, & Generalize: Implicit Reasoning in Recurrent-Depth Transformers},
  author = {Harsh Kohli and Srinivasan Parthasarathy and Huan Sun and Yuekun Yao},
  year = {2026},
  eprint = {2604.07822},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2604.07822}
}

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