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Paper · arXiv

TIDES: Implicit Time-Awareness in Selective State Space Models

Selective state space models (SSMs), such as Mamba, achieve strong per-token expressivity by making the time discretization step $\TildeΔ$ a learned function of the input. However, in doing so, $\TildeΔ$ no longer equals the physical time gap $Δ$ between consecutive observations, limiting the ability of these models to handle irregular time series. Continuous time SSMs, such as S5, keep $\TildeΔ\equivΔ$ and therefore handle irregular timestamps natively, but their dynamics remain linear time invariant (LTI), limiting per token expressivity. We propose \textbf{TIDES}, a selective SSM variant that reconciles selective and continuous architectures by moving input dependence off the step size...

AuthorsTaylan Soydan, Miguel A. Bessa, Dirk Mohr et al.
Primary categorycs.LG
Published10 May 2026
Last updated at source14 October 2026
cs.LGcs.AI
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