AI RESEARCH

Near-Optimal Decentralized Stochastic Convex Optimization over Networks

arXiv CS.LG

ArXi:2606.04757v1 Announce Type: cross We study decentralized stochastic smooth convex optimization, where $M$ workers minimize an average objective using local stochastic gradients and neighbor-only communication over a fixed gossip network. A central question in this setting is to determine the largest number of workers that can be used under a total budget of $N$ gradient samples while still preserving the centralized $O(1/\sqrt N)$ statistical rate. We