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Paper · arXiv

SketchSSM: Write to the Full State, Read from a Compact Sketch

Hybrid-attention models replace most softmax attention layers with linear attention, reducing KV-cache growth and enabling larger decode batches where recurrent-state access becomes a major bottleneck. ReplaySSM amortizes state updates by buffering keys and values, but each new query still requires a full-state read even though the state remains unchanged between state updates. We observe that low-rank state-weighted query approximation accurately preserves state-read outputs. Although future queries are unknown, the basis vectors used to approximate them can be fixed offline. Based on this observation, we introduce SketchSSM, which preserves full-state updates while approximating reads. ...

AuthorsOmin Kwon, JoongWon Shin, Minseo Kim et al.
Primary categorycs.LG
Published27 September 2026
Last updated at source6 October 2026
cs.LGcs.DC
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