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Full-stack recurrence

SCORE

SCORE: Replacing Layer Stacking with Contractive Recurrent Depth

Guillaume Godin

Replaces layer stacking with a single shared block applied iteratively through a contractive, ODE-inspired update h ← (1 − dt) · h + dt · F(h), using fixed discrete steps and ordinary backpropagation.

Inside the method

[ Single block ] × T: h ← (1 − dt) h + dt F(h)

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

Recurrence family
Full-stack recurrence
Depth control
Fixed number of discrete iterations
KV / state strategy
See paper

Reading note

Evaluated on graph networks, MLPs and nanoGPT; generally speeds convergence and reduces parameters through sharing. Simple Euler steps give the best cost-performance trade-off.

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

Related works

Cite this work

@misc{score2026,
  title = {SCORE: Replacing Layer Stacking with Contractive Recurrent Depth},
  author = {Guillaume Godin},
  year = {2026},
  eprint = {2603.10544},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2603.10544}
}

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