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Core recurrence

Looped Flows

Thinking with Looped Flows

Ayhan Suleymanzade, Chanhyuk Lee, Floor Eijkelboom, Nicholas M. Boffi, İsmail İlkan Ceylan, Jinwoo Kim

Trains the recurrence of a looped model with local denoising objectives at progressively decreasing noise levels with shared noise, so states learn to carry useful computation forward even though gradients cover only a few updates. Inference integrates a probability flow, and finer time grids spend more compute.

Inside the method

Noise → [ Denoiser + recurrent state ] × steps (decreasing noise) → solution

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

Recurrence family
Core recurrence
Depth control
More compute through a finer temporal grid
KV / state strategy
Not applicable (non-autoregressive solver)

Reading note

Outperforms prior looped models overall on six reasoning benchmarks, with 58.8% on ARC-AGI-1 and 12.2% on ARC-AGI-2; different initial noise gives multiple valid solutions.

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

Related works

Cite this work

@misc{loopedflows2026,
  title = {Thinking with Looped Flows},
  author = {Ayhan Suleymanzade and Chanhyuk Lee and Floor Eijkelboom and Nicholas M. Boffi and İsmail İlkan Ceylan and Jinwoo Kim},
  year = {2026},
  eprint = {2609.11801},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11801}
}

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