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Adaptive depth ·
FPRM
Fixed-Point Reasoners: Stable and Adaptive Deep Looped Transformers
Studies stable deep recurrence and fixed-point convergence as a stopping signal for structured reasoning.
Inside the method
[ State refinement ] → Fixed point
Simplified conceptual schematic. Consult the paper for the complete architecture.
- Recurrence family
- Adaptive depth
- Depth control
- Convergence-based halting
- KV / state strategy
- Task / variant dependent
Reading note
The public checkpoint collection includes convolutional variants. Check the specific architecture before equating it with the paper’s Transformer.
Sources checked 2026-09-15. This catalog does not imply independent reproduction.
Cite this work
@misc{fprm2026,
title = {Fixed-Point Reasoners: Stable and Adaptive Deep Looped Transformers},
author = {Sajad Movahedi and Vera Milovanović and Shlomo Libo Feigin and Alexander Theus and Thomas Hofmann and Valentina Boeva and T. Konstantin Rusch and Antonio Orvieto},
year = {2026},
eprint = {2606.18206},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.18206}
}