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Core recurrence

Truncate or Not?

Truncate or Not? A Scaling Study of Looped Transformers with Truncated Backpropagation

Xuyuan Xiong, Siyu Chen, Zihan Shao, Yue Su, Weiyang Jin, Ping Luo, Zhuoran Yang, Xihui Liu

A scaling study of truncated backpropagation through time in prelude–recurrent–coda looped transformers. Nearly 600 runs jointly vary model size, tokens and forward/backward loop counts, and a unified law expresses looping and truncation through effective parameters.

Inside the method

Prelude → [ Recurrent block ] × T (backprop through last B) → Coda

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

Recurrence family
Core recurrence
Depth control
Fixed forward loops T with B backward loops
KV / state strategy
See paper

Reading note

When forward and backward loop counts are optimized jointly, the law favors full BPTT; in matched-compute runs, full BPTT through fewer loops beats truncation. Two fully trained loops beat the compute-optimal non-looped model with about 27% fewer non-embedding parameters and 8% more training compute.

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

Related works

Cite this work

@misc{truncateornot2026,
  title = {Truncate or Not? A Scaling Study of Looped Transformers with Truncated Backpropagation},
  author = {Xuyuan Xiong and Siyu Chen and Zihan Shao and Yue Su and Weiyang Jin and Ping Luo and Zhuoran Yang and Xihui Liu},
  year = {2026},
  eprint = {2610.26030},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26030}
}

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