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We consider the problem of minimizing the sum of cost functions pertaining to agents over a network whose topology is captured by a directed graph (i.e., asymmetric communication). We cast the problem into the ADMM setting, via a consensus…

最优化与控制 · 数学 2023-04-04 Dingran Yi , Nikolaos M. Freris

Large-scale machine learning models are often trained by parallel stochastic gradient descent algorithms. However, the communication cost of gradient aggregation and model synchronization between the master and worker nodes becomes the…

机器学习 · 计算机科学 2020-07-03 Xiaorui Liu , Yao Li , Jiliang Tang , Ming Yan

We present a new class of decentralized first-order methods for nonsmooth and stochastic optimization problems defined over multiagent networks. Considering that communication is a major bottleneck in decentralized optimization, our main…

最优化与控制 · 数学 2017-02-07 Guanghui Lan , Soomin Lee , Yi Zhou

We study non-convex distributed optimization problems where a set of agents collaboratively solve a separable optimization problem that is distributed over a time-varying network. The existing methods to solve these problems rely on (at…

最优化与控制 · 数学 2022-04-26 Hadi Reisizadeh , Behrouz Touri , Soheil Mohajer

We study the fundamental limits to communication-efficient distributed methods for convex learning and optimization, under different assumptions on the information available to individual machines, and the types of functions considered. We…

机器学习 · 计算机科学 2015-10-29 Yossi Arjevani , Ohad Shamir

Distributed optimization is the standard way of speeding up machine learning training, and most of the research in the area focuses on distributed first-order, gradient-based methods. Yet, there are settings where some…

机器学习 · 计算机科学 2025-11-03 Matin Ansaripour , Shayan Talaei , Giorgi Nadiradze , Dan Alistarh

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…

最优化与控制 · 数学 2021-06-09 Dmitry Kovalev , Elnur Gasanov , Peter Richtárik , Alexander Gasnikov

In this paper, we consider distributed optimization problems where the goal is to minimize a sum of objective functions over a multi-agent network. We focus on the case when the inter-agent communication is described by a…

最优化与控制 · 数学 2018-06-08 Chenguang Xi , Ran Xin , Usman A. Khan

In distributed optimization and learning, several machines alternate between local computations in parallel and communication with a distant server. Communication is usually slow and costly and forms the main bottleneck. This is…

机器学习 · 计算机科学 2024-04-30 Laurent Condat , Ivan Agarský , Grigory Malinovsky , Peter Richtárik

Distributed optimization requires nodes to coordinate, yet full synchronization scales poorly. When $n$ nodes collaborate through $m$ pairwise regularizers, standard methods demand $\mathcal{O}(m)$ communications per iteration. This paper…

机器学习 · 计算机科学 2025-09-19 Ying Lin , Yao Kuang , Ahmet Alacaoglu , Michael P. Friedlander

This paper investigates distributed resource allocation optimization over directed graphs with limited communication bandwidth. We develop a novel distributed algorithm that integrates the centralized Proximal Jacobian Alternating Direction…

最优化与控制 · 数学 2026-04-17 Xu Du , Boyu Han , Ivano Notarnicola , Karl H. Johansson , Apostolos I. Rikos

Federated optimization, wherein several agents in a network collaborate with a central server to achieve optimal social cost over the network with no requirement for exchanging information among agents, has attracted significant interest…

多智能体系统 · 计算机科学 2023-10-23 Syed Eqbal Alam , Dhirendra Shukla , Shrisha Rao

We consider a decentralized learning problem, where a set of computing nodes aim at solving a non-convex optimization problem collaboratively. It is well-known that decentralized optimization schemes face two major system bottlenecks:…

机器学习 · 计算机科学 2019-11-04 Amirhossein Reisizadeh , Hossein Taheri , Aryan Mokhtari , Hamed Hassani , Ramtin Pedarsani

Distributed optimization has found widespread applications in smart grids, optimal control, and machine learning. This paper studies distributed consensus optimization. We extend the Augmented Lagrangian-based Alternating Direction Inexact…

最优化与控制 · 数学 2026-05-21 Xu Du , Jingzhe Wang , Karl H. Johansson , Apostolos I. Rikos

We consider a convex unconstrained optimization problem that arises in a network of agents whose goal is to cooperatively optimize the sum of the individual agent objective functions through local computations and communications. For this…

最优化与控制 · 数学 2008-03-11 Angelia Nedić , Alex Olshevsky , Asuman Ozdaglar , John N. Tsitsiklis

Decentralized optimization is crucial for multi-agent systems, with significant concerns about communication efficiency and privacy. This paper explores the role of efficient communication in decentralized stochastic gradient descent…

系统与控制 · 电气工程与系统科学 2025-06-10 Wei Huo , Changxin Liu , Kemi Ding , Karl Henrik Johansson , Ling Shi

We present Scaff-PD, a fast and communication-efficient algorithm for distributionally robust federated learning. Our approach improves fairness by optimizing a family of distributionally robust objectives tailored to heterogeneous clients.…

机器学习 · 计算机科学 2023-07-26 Yaodong Yu , Sai Praneeth Karimireddy , Yi Ma , Michael I. Jordan

We consider the problem of regularized regression in a network of communication-constrained devices. Each node has local data and objectives, and the goal is for the nodes to optimize a global objective. We develop a distributed…

最优化与控制 · 数学 2016-03-22 Neil McGlohon , Stacy Patterson

We address distributed learning problems over undirected networks. Specifically, we focus on designing a novel ADMM-based algorithm that is jointly computation- and communication-efficient. Our design guarantees computational efficiency by…

机器学习 · 计算机科学 2026-01-21 Xiaoxing Ren , Nicola Bastianello , Karl H. Johansson , Thomas Parisini

This paper investigates task-oriented communication for multi-device cooperative edge inference, where a group of distributed low-end edge devices transmit the extracted features of local samples to a powerful edge server for inference.…

信号处理 · 电气工程与系统科学 2023-09-13 Jiawei Shao , Yuyi Mao , Jun Zhang