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Core recurrence

AsymLoop

Asymmetric Looped Transformers: Fixed Global Representations for an Iterative Decoder

Cheng Liang, Tengfei Zhang, Wenjie DU, Jianyu Wu, Changlian Ma, Shuchen Pu, Ya Zhang, Yanfeng Wang, Zhouhan Lin

Separates context building from iterative refinement: a single-pass causal encoder writes fixed per-layer global KV caches, and a weight-tied recurrent decoder attends jointly to them and to local KV from its evolving state.

Inside the method

Causal encoder (once, Global KV) → [ Weight-tied decoder, Local KV ] × R

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

Recurrence family
Core recurrence
Depth control
Fixed recurrence at matched effective depth
KV / state strategy
Fixed global KV from the encoder plus local KV per iteration, under one softmax

Reading note

From 60M to 1B on FineWeb-Edu it beats Full Loop at matched effective depth and tokens; at 1B the seven-task zero-shot average rises from 49.58% to 50.85%. Benefits extend to an OLMo-style backbone and MoE.

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

Related works

Cite this work

@misc{asymloop2026,
  title = {Asymmetric Looped Transformers: Fixed Global Representations for an Iterative Decoder},
  author = {Cheng Liang and Tengfei Zhang and Wenjie DU and Jianyu Wu and Changlian Ma and Shuchen Pu and Ya Zhang and Yanfeng Wang and Zhouhan Lin},
  year = {2026},
  eprint = {2610.28489},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28489}
}

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