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Privacy protection and nonconvexity are two challenging problems in decentralized optimization and learning involving sensitive data. Despite some recent advances addressing each of the two problems separately, no results have been reported…

最优化与控制 · 数学 2022-12-16 Yongqiang Wang , Tamer Basar

Decentralized learning (DL) has recently employed local updates to reduce the communication cost for general non-convex optimization problems. Specifically, local updates require each node to perform multiple update steps on the parameters…

分布式、并行与集群计算 · 计算机科学 2023-07-18 Kangyang Luo , Kunkun Zhang , Shengbo Zhang , Xiang Li , Ming Gao

This paper considers the decentralized convex optimization problem, which has a wide range of applications in large-scale machine learning, sensor networks, and control theory. We propose novel algorithms that achieve optimal computation…

机器学习 · 计算机科学 2023-10-11 Haishan Ye , Luo Luo , Ziang Zhou , Tong Zhang

Decentralized minimax optimization has been actively studied in the past few years due to its application in a wide range of machine learning models. However, the current theoretical understanding of its convergence rate is far from…

机器学习 · 计算机科学 2023-04-25 Yihan Zhang , Wenhao Jiang , Feng Zheng , Chiu C. Tan , Xinghua Shi , Hongchang Gao

Decentralized optimization is effective to save communication in large-scale machine learning. Although numerous algorithms have been proposed with theoretical guarantees and empirical successes, the performance limits in decentralized…

机器学习 · 计算机科学 2022-10-17 Kun Yuan , Xinmeng Huang , Yiming Chen , Xiaohan Zhang , Yingya Zhang , Pan Pan

To design algorithms that reduce communication cost or meet rate constraints and are robust to communication noise, we study convex distributed optimization problems where a set of agents are interested in solving a separable optimization…

最优化与控制 · 数学 2023-05-02 Hadi Reisizadeh , Anand Gokhale , Behrouz Touri , Soheil Mohajer

In this work, we study decentralized stochastic nonconvex Polyak--{\L}ojasiewicz minimax problems and propose a communication-efficient algorithm. Motivated by the efficiency of local SGD in federated learning, we investigate decentralized…

最优化与控制 · 数学 2026-05-26 Haoyuan Cai , Sulaiman A. Alghunaim , Ali H. Sayed

Decentralized optimization is a common paradigm used in distributed signal processing and sensing as well as privacy-preserving and large-scale machine learning. It is assumed that several computational entities locally hold objective…

最优化与控制 · 数学 2023-01-12 Alexander Rogozin , Demyan Yarmoshik , Ksenia Kopylova , Alexander Gasnikov

This paper proposes to maximize the accuracy of a distributed machine learning (ML) model trained on learners connected via the resource-constrained wireless edge. We jointly optimize the number of local/global updates and the task size…

信号处理 · 电气工程与系统科学 2021-02-23 Umair Mohammad , Sameh Sorour , Mohamed Hefeida

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…

最优化与控制 · 数学 2020-11-16 Dmitry Kovalev , Adil Salim , Peter Richtárik

Distributed optimization methods with local updates have recently attracted a lot of attention due to their potential to reduce the communication cost of distributed methods. In these algorithms, a collection of nodes performs several local…

最优化与控制 · 数学 2023-10-11 Sulaiman A. Alghunaim

Decentralized optimization methods enable on-device training of machine learning models without a central coordinator. In many scenarios communication between devices is energy demanding and time consuming and forms the bottleneck of the…

最优化与控制 · 数学 2020-11-04 Dmitry Kovalev , Anastasia Koloskova , Martin Jaggi , Peter Richtarik , Sebastian U. Stich

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

In this paper, we focus on the decentralized composite optimization for convex functions. Because of advantages such as robust to the network and no communication bottle-neck in the central server, the decentralized optimization has…

最优化与控制 · 数学 2024-07-16 Haishan Ye , Xiangyu Chang

This paper presents a family of algorithms for decentralized convex composite problems. We consider the setting of a network of agents that cooperatively minimize a global objective function composed of a sum of local functions plus a…

最优化与控制 · 数学 2023-02-14 Yichuan Li , Petros G. Voulgaris , Dusan M. Stipanovic , Nikolaos M. Freris

Decentralized optimization enables multiple devices to learn a global machine learning model while each individual device only has access to its local dataset. By avoiding the need for training data to leave individual users' devices, it…

机器学习 · 计算机科学 2026-04-22 Ziqin Chen , Zuang Wang , Yongqiang Wang

Decentralized optimization is a powerful paradigm that finds applications in engineering and learning design. This work studies decentralized composite optimization problems with non-smooth regularization terms. Most existing gradient-based…

最优化与控制 · 数学 2019-10-29 Sulaiman A. Alghunaim , Kun Yuan , Ali H. Sayed

Decentralized optimization has emerged as a critical paradigm for distributed learning, enabling scalable training while preserving data privacy through peer-to-peer collaboration. However, existing methods often suffer from communication…

机器学习 · 计算机科学 2026-01-06 Yijie Zhou , Shi Pu

The goal of decentralized optimization over a network is to optimize a global objective formed by a sum of local (possibly nonsmooth) convex functions using only local computation and communication. It arises in various application domains,…

最优化与控制 · 数学 2015-03-17 John Duchi , Alekh Agarwal , Martin Wainwright

Decentralized optimization with time-varying networks is an emerging paradigm in machine learning. It saves remarkable communication overhead in large-scale deep training and is more robust in wireless scenarios especially when nodes are…

机器学习 · 计算机科学 2022-11-02 Xinmeng Huang , Kun Yuan
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