activity
20242026
collaborators

8 papers

math.OC2026

A Line-search-free Method for Adaptive Decentralized Optimization

Xiaokai Chen, Ilya Kuruzov, Gesualdo Scutari

We study decentralized optimization over networks where agents cooperatively minimize a smooth (strongly) convex sum of local losses while communicating only with immediate neighbo…

math.OC2026

Adaptive Decentralized Composite Optimization via Three-Operator Splitting

Xiaokai Chen, Ilya Kuruzov, Gesualdo Scutari

The paper studies decentralized optimization over networks, where agents minimize a sum of {\it locally} smooth (strongly) convex losses and plus a nonsmooth convex extended value…

math.OC2026

A New Decomposition Paradigm for Graph-structured Nonlinear Programs via Message Passing

Kuangyu Ding, Marie Maros, Gesualdo Scutari

We study finite-sum nonlinear programs with localized variable coupling encoded by a (hyper)graph. We introduce a graph-compliant decomposition framework that brings message passin…

math.OC2025

A Parameter-free Decentralized Algorithm for Composite Convex Optimization

Xiaokai Chen, Ilya Kuruzov, Gesualdo Scutari +1

The paper studies decentralized optimization over networks, where agents minimize a composite objective consisting of the sum of smooth convex functions--the agents' losses--and an…

math.OC2025

Adaptive Stepsize Selection in Decentralized Convex Optimization

Ilya Kuruzov, Xiaokai Chen, Gesualdo Scutari +1

We study decentralized optimization where multiple agents minimize the average of their (strongly) convex, smooth losses over a communication graph. Convergence of the existing dec…

math.OC2025

DCatalyst: A Unified Accelerated Framework for Decentralized Optimization

Tianyu Cao, Xiaokai Chen, Gesualdo Scutari

We study decentralized optimization over a network of agents, modeled as graphs, with no central server. The goal is to minimize , where represents a (strongly) convex fun…