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Core recurrence

Looped UDLM

Looped Uniform Diffusion Language Models

Saiteja Utpala, Chieh-Hsin Lai, Yuki Mitsufuji, Praneeth Vepakomma

Applies selective looping, which repeats a few early layers inside each denoising step, to uniform diffusion language models without changing their objective or sampler.

Inside the method

Each denoising step: [ Early layers ] × k → remaining layers

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

Recurrence family
Core recurrence
Depth control
Loop count sampled during training; chosen at inference
KV / state strategy
Not an autoregressive cache setting; see paper

Reading note

Reaches a non-looped UDLM's validation NLL with up to 2.8× (OpenWebText) and 3.3× (FineWeb-Edu) fewer training FLOPs. Sampling small loop counts more often during training uses 12% fewer loops downstream without hurting accuracy.

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

Related works

Cite this work

@misc{loopedudlm2026,
  title = {Looped Uniform Diffusion Language Models},
  author = {Saiteja Utpala and Chieh-Hsin Lai and Yuki Mitsufuji and Praneeth Vepakomma},
  year = {2026},
  eprint = {2610.30066},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30066}
}

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