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Related papers: Asynchrony and Acceleration in Gossip Algorithms

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Decentralized learning on resource-constrained edge devices demands algorithms that are communication-efficient, robust to data corruption, and lightweight in memory. State-of-the-art gossip-based methods address communication efficiency,…

Machine Learning · Computer Science 2026-05-08 Anna van Elst , Igor Colin , Stephan Clémençon

In this paper, we study the problem of minimizing a sum of smooth and strongly convex functions split over the nodes of a network in a decentralized fashion. We propose the algorithm $ESDACD$, a decentralized accelerated algorithm that only…

Optimization and Control · Mathematics 2019-02-25 Hadrien Hendrikx , Francis Bach , Laurent Massoulié

In decentralized optimization, nodes of a communication network each possess a local objective function, and communicate using gossip-based methods in order to minimize the average of these per-node functions. While synchronous algorithms…

Optimization and Control · Mathematics 2022-09-02 Mathieu Even , Hadrien Hendrikx , Laurent Massoulie

In this work we focus on the problem of minimizing the sum of convex cost functions in a distributed fashion over a peer-to-peer network. In particular, we are interested in the case in which communications between nodes are prone to…

Optimization and Control · Mathematics 2020-07-24 Nicola Bastianello , Ruggero Carli , Luca Schenato , Marco Todescato

This paper proposes and analyzes a communication-efficient distributed optimization framework for general nonconvex nonsmooth signal processing and machine learning problems under an asynchronous protocol. At each iteration, worker machines…

Optimization and Control · Mathematics 2020-07-15 Jineng Ren , Jarvis Haupt

We propose ADOM - an accelerated method for smooth and strongly convex decentralized optimization over time-varying networks. ADOM uses a dual oracle, i.e., we assume access to the gradient of the Fenchel conjugate of the individual loss…

Optimization and Control · Mathematics 2021-02-19 Dmitry Kovalev , Egor Shulgin , Peter Richtárik , Alexander Rogozin , Alexander Gasnikov

Distributed gossip algorithm has been studied in literature for practical implementation of the distributed consensus algorithm as a fundamental algorithm for the purpose of in-network collaborative processing. This paper focuses on…

Systems and Control · Computer Science 2015-12-14 Saber Jafarizadeh

We consider the task of minimizing the sum of smooth and strongly convex functions stored in a decentralized manner across the nodes of a communication network whose links are allowed to change in time. We solve two fundamental problems for…

Optimization and Control · Mathematics 2021-06-09 Dmitry Kovalev , Elnur Gasanov , Peter Richtárik , Alexander Gasnikov

In this paper, we study gossip algorithms in communication models that describe the peer-to-peer networking functionality included in most standard smartphone operating systems. We begin by describing and analyzing a new synchronous gossip…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-16 Calvin Newport , Alex Weaver , Chaodong Zheng

In many applications, nodes in a network desire not only a consensus, but an optimal one. To date, a family of subgradient algorithms have been proposed to solve this problem under general convexity assumptions. This paper shows that, for…

Optimization and Control · Mathematics 2011-02-11 Jie Lu , Choon Yik Tang , Paul R. Regier , Travis D. Bow

We present a totally asynchronous algorithm for convex optimization that is based on a novel generalization of Nesterov's accelerated gradient method. This algorithm is developed for fast convergence under "total asynchrony," i.e., allowing…

Optimization and Control · Mathematics 2024-06-17 Ellie Pond , April Sebok , Zachary Bell , Matthew Hale

We study distributed (strongly convex) optimization problems over a network of agents, with no centralized nodes. The loss functions of the agents are assumed to be \textit{similar}, due to statistical data similarity or otherwise. In order…

Optimization and Control · Mathematics 2022-04-12 Ye Tian , Gesualdo Scutari , Tianyu Cao , Alexander Gasnikov

In this paper, we determine the optimal convergence rates for strongly convex and smooth distributed optimization in two settings: centralized and decentralized communications over a network. For centralized (i.e. master/slave) algorithms,…

Optimization and Control · Mathematics 2017-04-10 Kevin Scaman , Francis Bach , Sébastien Bubeck , Yin Tat Lee , Laurent Massoulié

We consider a fully distributed constrained convex optimization problem over a multi-agent (no central coordinator) network. We propose an asynchronous gossip-based random projection (GRP) algorithm that solves the distributed problem using…

Optimization and Control · Mathematics 2013-04-08 Soomin Lee , Angelia Nedich

This document describes a new consensus algorithm which is asynchronous and uses gossip based message dissemination between nodes. The current version of the algorithm does not cover the case of a node failure or significantly delayed…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-23 Maxim Zakharov

We consider the task of decentralized minimization of the sum of smooth strongly convex functions stored across the nodes of a network. For this problem, lower bounds on the number of gradient computations and the number of communication…

Optimization and Control · Mathematics 2020-11-16 Dmitry Kovalev , Adil Salim , Peter Richtárik

We consider decentralized stochastic optimization with the objective function (e.g. data samples for machine learning task) being distributed over $n$ machines that can only communicate to their neighbors on a fixed communication graph. To…

Machine Learning · Computer Science 2019-02-04 Anastasia Koloskova , Sebastian U. Stich , Martin Jaggi

Gossip algorithms are widely used in modern distributed systems, with applications ranging from sensor networks and peer-to-peer networks to mobile vehicle networks and social networks. A tremendous research effort has been devoted to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Guodong Shi , Bo Li , Mikael Johansson , Karl Henrik Johansson

We introduce a new framework for the convergence analysis of a class of distributed constrained non-convex optimization algorithms in multi-agent systems. The aim is to search for local minimizers of a non-convex objective function which is…

Optimization and Control · Mathematics 2013-12-03 Pascal Bianchi , Jérémie Jakubowicz

This paper presents gossip algorithms for aggregation tasks that demonstrate both robustness to adversarial corruptions of any order of magnitude and optimality across a substantial range of these corruption levels. Gossip algorithms…

Data Structures and Algorithms · Computer Science 2025-08-19 Bernhard Haeupler , Marc Kaufmann , Raghu Raman Ravi , Ulysse Schaller
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