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Paper · arXiv

Distributed Learning with Selective State Space Models: Architecture-Aware Convergence Analysis

Modern state space models (SSMs), such as Mamba2, provide a compelling alternative to transformers by combining linear-time sequence modeling with recurrent state-space dynamics. However, the behavior of SSMs in distributed learning settings remains poorly understood. In particular, the existing standard federated learning methods are largely architecture-agnostic, and do not account for the stability, selectivity, and state-space parameterization that characterize modern selective SSMs. To address this, we derive architecture-aware gradient and smoothness bounds for single- and multi-layer selective SSMs, and convergence bounds for FedAvg and FedProx, characterizing how recurrent stabili...

AuthorsAdam Piaseczny, Md Kamran Chowdhury Shisher, Shiqiang Wang et al.
Primary categorycs.LG
Published2 October 2026
Last updated at source6 October 2026
cs.LGcs.AImath.OC
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