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We consider the consensual distributed optimization problem and propose an asynchronous version of the Alternating Direction Method of Multipliers (ADMM) algorithm to solve it. The `asynchronous' part here refers to the fact that only one…

最优化与控制 · 数学 2022-04-01 Suhail M. Shah , Konstantin E. Avrachenkov

Classical paradigms for distributed learning, such as federated or decentralized gradient descent, employ consensus mechanisms to enforce homogeneity among agents. While these strategies have proven effective in i.i.d. scenarios, they can…

机器学习 · 计算机科学 2023-04-18 Shreya Wadehra , Roula Nassif , Stefan Vlaski

Asynchronous distributed algorithms are a popular way to reduce synchronization costs in large-scale optimization, and in particular for neural network training. However, for nonsmooth and nonconvex objectives, few convergence guarantees…

最优化与控制 · 数学 2020-07-14 Vyacheslav Kungurtsev , Malcolm Egan , Bapi Chatterjee , Dan Alistarh

In this work and its accompanying Part II [1], we develop an accelerated algorithmic framework, DAMA (Decentralized Accelerated Minimax Approach), for nonconvex Polyak-Lojasiewicz minimax optimization over decentralized multi-agent…

最优化与控制 · 数学 2025-12-17 Haoyuan Cai , Sulaiman A. Alghunaim , Ali H. Sayed

We propose a divide-and-conquer (DAC) algorithm for constrained convex optimization over networks, where the global objective is the sum of local objectives attached to individual agents. The algorithm is fully distributed: each iteration…

最优化与控制 · 数学 2025-10-03 Nazar Emirov , Guohui Song , Qiyu Sun

In this paper, we develop a class of decentralized algorithms for solving a convex resource allocation problem in a network of $n$ agents, where the agent objectives are decoupled while the resource constraints are coupled. The agents…

最优化与控制 · 数学 2018-12-18 Angelia Nedić , Alex Olshevsky , Wei Shi

We consider a resource allocation problem over an undirected network of agents, where edges of the network define communication links. The goal is to minimize the sum of agent-specific convex objective functions, while the agents' decisions…

最优化与控制 · 数学 2019-11-27 Goran Banjac , Felix Rey , Paul Goulart , John Lygeros

This paper deals with a network of computing agents aiming to solve an online optimization problem in a distributed fashion, i.e., by means of local computation and communication, without any central coordinator. We propose the gradient…

最优化与控制 · 数学 2023-09-13 Guido Carnevale , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

Motivated by the need for decentralized learning, this paper aims at designing a distributed algorithm for solving nonconvex problems with general linear constraints over a multi-agent network. In the considered problem, each agent owns…

最优化与控制 · 数学 2022-06-23 Jiawei Zhang , Songyang Ge , Tsung-Hui Chang , Zhi-Quan Luo

In this paper, a stochastic approximation (SA) based distributed algorithm is proposed to solve the resource allocation (RA) with uncertainties. In this problem, a group of agents cooperatively optimize a separable optimization problem with…

最优化与控制 · 数学 2016-11-01 Peng Yi , Jinlong Lei , Yiguang Hong

In this paper, we propose a distributed algorithm, called Directed-Distributed Gradient Descent (D-DGD), to solve multi-agent optimization problems over directed graphs. Existing algorithms mostly deal with similar problems under the…

最优化与控制 · 数学 2016-02-02 Chenguang Xi , Qiong Wu , Usman A. Khan

We present distributed algorithms that can be used by multiple agents to align their estimates with a particular value over a network with time-varying connectivity. Our framework is general in that this value can represent a consensus…

最优化与控制 · 数学 2010-04-20 Angelia Nedić , Asuman Ozdaglar , Pablo A. Parrilo

In this paper, we address the problem of how a network of agents can collaboratively fit a linear model when each agent only ever has an arbitrary summand of the regression data. This problem generalizes previously studied…

最优化与控制 · 数学 2014-08-06 François D. Côté , Ioannis N. Psaromiligkos , Warren J. Gross

We propose a novel decomposition framework for the distributed optimization of Difference Convex (DC)-type nonseparable sum-utility functions subject to coupling convex constraints. A major contribution of the paper is to develop for the…

信息论 · 计算机科学 2013-09-23 Alberth Alvarado , Gesualdo Scutari , Jong-Shi Pang

This paper addresses a distributed optimization problem in a communication network where nodes are active sporadically. Each active node applies some learning method to control its action to maximize the global utility function, which is…

最优化与控制 · 数学 2021-04-20 Wenjie Li , Mohamad Assaad , Shiqi Zheng

We consider the fully decentralized machine learning scenario where many users with personal datasets collaborate to learn models through local peer-to-peer exchanges, without a central coordinator. We propose to train personalized models…

机器学习 · 计算机科学 2024-12-20 Valentina Zantedeschi , Aurélien Bellet , Marc Tommasi

This paper considers a distributed optimization problem over a multi-agent network, in which the objective function is a sum of individual cost functions at the agents. We focus on the case when communication between the agents is described…

最优化与控制 · 数学 2017-11-01 Chenguang Xi , Van Sy Mai , Ran Xin , Eyad H. Abed , Usman A. Khan

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

机器学习 · 计算机科学 2017-07-06 Jakub Konečný

We present a distributed algorithm that enables a group of robots to collaboratively optimize the parameters of a deep neural network model while communicating over a mesh network. Each robot only has access to its own data and maintains…

机器人学 · 计算机科学 2022-01-25 Javier Yu , Joseph A. Vincent , Mac Schwager

Privacy-preserving distributed machine learning becomes increasingly important due to the recent rapid growth of data. This paper focuses on a class of regularized empirical risk minimization (ERM) machine learning problems, and develops…

机器学习 · 计算机科学 2016-03-11 Tao Zhang , Quanyan Zhu