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Core recurrence ·

Parcae

Parcae: Scaling Laws For Stable Looped Language Models

Hayden Prairie, Zachary Novack, Taylor Berg-Kirkpatrick, Daniel Y. Fu

Uses stable state injection to examine the scaling of looped Transformers with recurrence and training data.

Inside the method

Prelude → [ Stable core ] × R → Coda

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

Recurrence family
Core recurrence
Depth control
Variable recurrent depth
KV / state strategy
See implementation

Reading note

The repository provides entry points for 140M, 370M, 770M and 1.3B pretrained models. Availability is not a local reproduction result.

Sources checked 2026-09-15. This catalog does not imply independent reproduction.

Cite this work

@misc{parcae2026,
  title = {Parcae: Scaling Laws For Stable Looped Language Models},
  author = {Hayden Prairie and Zachary Novack and Taylor Berg-Kirkpatrick and Daniel Y. Fu},
  year = {2026},
  eprint = {2604.12946},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2604.12946}
}

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