Distributed Learning with Selective State Space Models: Architecture-Aware Convergence Analysis EV933413SJ

URI	`m2://res/EV933413SJ`
Kind	preprint
Creators	Adam Piaseczny, Md Kamran Chowdhury Shisher, Shiqiang Wang, Christopher G. Brinton
Date	2026-10-02
Subjects	arxiv cs.LG, arxiv cs.AI, arxiv math.OC
Scope	border

Expressions

e1: version, preprint

Date	2026-10-02
Ids	arXiv 2610.02659

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
FedAvg SSM Convergence	statement	theorem B.5	arxiv
Multi-layer SSM gradient second-moment constant	statement	lemma C.5	arxiv
Local multi-layer SSM smoothness	statement	lemma C.4	arxiv
Multi-layer SSM stochastic gradient variance bound	statement	lemma C.6	arxiv
Local SSM smoothness	statement	lemma 4.7	arxiv
Single-layer FedProx convergence rate	statement	corollary D.1	arxiv
Multi-layer FedProx under common layer bounds	statement	corollary D.6	arxiv
SSM Convergence Rate under Distributed Learning	statement	corollary D.8	arxiv
SSM stochastic gradient variance bound	statement	lemma B.3	arxiv
SSM Convergence under Distributed Learning	statement	corollary D.7	arxiv
Single-layer FedAvg convergence rate	statement	corollary 4.8	arxiv
SSM client heterogeneity bound under total variation	statement	lemma B.4	arxiv
SSM Gradient Bound	statement	theorem 4.4	arxiv
SSM loss gradient second-moment constant	statement	lemma B.2	arxiv
Multi-layer SSM Stability	definition	definition C.2	arxiv
$R$-Local Neighborhood	definition	definition 4.5	arxiv
Multi-layer gradient under common layer bounds	statement	corollary D.2	arxiv
Multi-layer gradient rate under common layer bounds	statement	corollary D.3	arxiv
FedProx convergence for multi-layer selective SSMs	statement	corollary C.9	arxiv
Multi-layer SSM client heterogeneity bound under total variation	statement	lemma C.7	arxiv
Multi-Layer SSM Gradient Bound	statement	theorem C.3	arxiv
SSM Stability	definition	definition 4.1	arxiv
Common-layer smoothness and depth dependence	statement	corollary D.4	arxiv
Local Lipschitz Continuity of the SSM Gradient Bound	statement	lemma B.1	arxiv
Multi-layer FedAvg under common layer bounds	statement	corollary D.5	arxiv
FedAvg convergence for multi-layer selective SSMs	statement	corollary C.8	arxiv
FedProx convergence for selective SSMs	statement	theorem B.6	arxiv

Catalogue records

arxiv: 2610.02659 (work)