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Adaptive depth

CHASE

CHASE: Cache-Hole-Adapted Skip Exit for Looped State-Space Language Models

Zhenxuan Yu, Takeshi Kojima, Yutaka Matsuo, Yusuke Iwasawa

Extends looping to state-space language models with Looped Mamba and looped hybrid Mamba-Transformer blocks, and adapts Ouro-style exit gates. Because early exits leave the recurrent SSM state without deeper updates, a cache-hole adaptation aligns continued training with skipped-state inference.

Inside the method

[ Shared Mamba / hybrid block ] × R + exit gate (cache-hole adapted)

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

Recurrence family
Adaptive depth
Depth control
Threshold-controlled early exit
KV / state strategy
SSM state with skipped deeper updates

Reading note

Looped Mamba beats parameter-matched baselines on controlled reasoning tasks; in pretraining it stays competitive downstream with fewer parameters, though deeper non-looped models keep a perplexity edge at strict iso-FLOPs. Adapted exits keep perplexity near full computation.

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

Related works

Cite this work

@misc{chase2026,
  title = {CHASE: Cache-Hole-Adapted Skip Exit for Looped State-Space Language Models},
  author = {Zhenxuan Yu and Takeshi Kojima and Yutaka Matsuo and Yusuke Iwasawa},
  year = {2026},
  eprint = {2607.10110},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.10110}
}

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