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Denoising Recursion Models

One Step Forward and K Steps Back: Better Reasoning with Denoising Recursion Models

Chris Cameron, Wangzheng Wang, Nikita Ivanov, Ashmita Bhattacharyya, Didier Chételat, Yingxue Zhang

Corrupts target solutions with noise like diffusion models but trains a looped refiner to undo the corruption over multiple recursive steps rather than one, giving a curriculum of intermediate states that better matches test-time refinement.

Inside the method

Noisy solution → [ Shared block ] × K steps → clean solution

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

Recurrence family
Core recurrence
Depth control
Multi-step recursive denoising
KV / state strategy
Not applicable (non-autoregressive solver)

Reading note

Outperforms the Tiny Recursion Model on ARC-AGI, encouraging non-greedy, forward-looking generation.

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

Related works

Cite this work

@misc{denoisingrecursionmodels2026,
  title = {One Step Forward and K Steps Back: Better Reasoning with Denoising Recursion Models},
  author = {Chris Cameron and Wangzheng Wang and Nikita Ivanov and Ashmita Bhattacharyya and Didier Chételat and Yingxue Zhang},
  year = {2026},
  eprint = {2604.18839},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2604.18839}
}

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