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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…

最优化与控制 · 数学 2020-07-15 Jineng Ren , Jarvis Haupt

We analyze and evaluate an online gradient descent algorithm with adaptive per-coordinate adjustment of learning rates. Our algorithm can be thought of as an online version of batch gradient descent with a diagonal preconditioner. This…

机器学习 · 计算机科学 2010-02-26 Matthew Streeter , H. Brendan McMahan

We study distributed optimization algorithms for minimizing the average of convex functions. The applications include empirical risk minimization problems in statistical machine learning where the datasets are large and have to be stored on…

最优化与控制 · 数学 2016-01-07 Jason D. Lee , Qihang Lin , Tengyu Ma , Tianbao Yang

This paper investigates a distributed optimization problem under edge agreements, where each agent in the network is also subject to local convex constraints. Generalized from the concept of consensus, a group of edge agreements represents…

最优化与控制 · 数学 2024-09-04 Zehui Lu , Shaoshuai Mou

We study distributed adaptive algorithms with local updates (intermittent communication). Despite the great empirical success of adaptive methods in distributed training of modern machine learning models, the theoretical benefits of local…

机器学习 · 计算机科学 2025-02-13 Ziheng Cheng , Margalit Glasgow

In this paper, a distributed convex optimization algorithm, termed \emph{distributed coordinate dual averaging} (DCDA) algorithm, is proposed. The DCDA algorithm addresses the scenario of a large distributed optimization problem with…

分布式、并行与集群计算 · 计算机科学 2018-10-31 Milind Rao , Stefano Rini , Andrea Goldsmith

In this paper, we focus on an asynchronous distributed optimization problem. In our problem, each node is endowed with a convex local cost function, and is able to communicate with its neighbors over a directed communication network.…

最优化与控制 · 数学 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Online learning via Bayes' theorem allows new data to be continuously integrated into an agent's current beliefs. However, a naive application of Bayesian methods in non stationary environments leads to slow adaptation and results in state…

机器学习 · 计算机科学 2022-02-09 Josue Nassar , Jennifer Brennan , Ben Evans , Kendall Lowrey

This work considered an online distributed optimization problem, with a group of agents whose local objective functions vary with time. Moreover, the value of the objective function is revealed to the corresponding agent after the decision…

最优化与控制 · 数学 2021-08-16 Yipeng Pang , Guoqiang Hu

In this paper, we consider nonconvex decentralised optimisation and learning over a network of distributed agents. We develop an ADMM algorithm based on the Randomised Block Coordinate Douglas-Rachford splitting method which enables agents…

最优化与控制 · 数学 2025-07-31 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

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 considers distributed online convex constrained optimization, in which various agents in a multi-agent system cooperate to minimize a global cost function through communicating with neighbors over a time-varying network. When the…

最优化与控制 · 数学 2023-02-02 Wentao Zhang , Yang Shi , Baoyong Zhang , Deming Yuan

The standard model of online prediction deals with serial processing of inputs by a single processor. However, in large-scale online prediction problems, where inputs arrive at a high rate, an increasingly common necessity is to distribute…

机器学习 · 计算机科学 2010-12-08 Ofer Dekel , Ran Gilad-Bachrach , Ohad Shamir , Lin Xiao

Distributed optimization often consists of two updating phases: local optimization and inter-node communication. Conventional approaches require working nodes to communicate with the server every one or few iterations to guarantee…

分布式、并行与集群计算 · 计算机科学 2019-06-17 Chi Zhang , Qianxiao Li

The paper proves convergence to global optima for a class of distributed algorithms for nonconvex optimization in network-based multi-agent settings. Agents are permitted to communicate over a time-varying undirected graph. Each agent is…

最优化与控制 · 数学 2019-03-19 Brian Swenson , Soummya Kar , H. Vincent Poor , Jose' M. F. Moura

In this paper, we investigate the distributed convex optimization problem over a multi-agent system with Markovian switching communication networks. The objective function is the sum of each agent's local objective function, which cannot be…

最优化与控制 · 数学 2020-02-25 Peng Yi , Li Li

In distributed optimization for large-scale learning, a major performance limitation comes from the communications between the different entities. When computations are performed by workers on local data while a coordinator machine…

最优化与控制 · 数学 2020-06-26 Dmitry Grishchenko , Franck Iutzeler , Jérôme Malick , Massih-Reza Amini

Learning at the edges has become increasingly important as large quantities of data are continually generated locally. Among others, this paradigm requires algorithms that are simple (so that they can be executed by local devices), robust…

机器学习 · 计算机科学 2024-02-06 Tuan-Anh Nguyen , Nguyen Kim Thang , Denis Trystram

This paper studies a class of distributed optimization problems with coupled equality constraints in networked systems. Many existing distributed algorithms rely on solving local subproblems via the $\operatorname{argmin}$ operator in each…

最优化与控制 · 数学 2025-11-26 Chenyang Qiu , Zongli Lin

This paper studies the decentralized online convex optimization problem for heterogeneous linear multi-agent systems. Agents have access to their time-varying local cost functions related to their own outputs, and there are also…

最优化与控制 · 数学 2022-07-05 Yang Yu , Xiuxian Li , Li Li , Lihua Xie