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During the past two decades, multi-agent optimization problems have drawn increased attention from the research community. When multiple objective functions are present among agents, many works optimize the sum of these objective functions.…

Multiagent Systems · Computer Science 2020-10-13 M. J. Blondin , M. T. Hale

We study nonconvex distributed optimization in multi-agent networks with time-varying (nonsymmetric) connectivity. We introduce the first algorithmic framework for the distributed minimization of the sum of a smooth (possibly nonconvex and…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-02 Paolo Di Lorenzo , Gesualdo Scutari

We study distributed composite optimization over networks: agents minimize a sum of smooth (strongly) convex functions, the agents' sum-utility, plus a nonsmooth (extended-valued) convex one. We propose a general unified algorithmic…

Optimization and Control · Mathematics 2021-08-04 Jinming Xu , Ye Tian , Ying Sun , Gesualdo Scutari

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…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Wei Huo , Changxin Liu , Kemi Ding , Karl Henrik Johansson , Ling Shi

In this paper, a class of large-scale distributed nonsmooth convex optimization problem over time-varying multi-agent network is investigated. Specifically, the decision space which can be split into several blocks of convex set is…

Optimization and Control · Mathematics 2024-10-18 Zhan Yu , Daniel W. C. Ho

This technical note studies the distributed optimization problem of a sum of nonsmooth convex cost functions with local constraints. At first, we propose a novel distributed continuous-time projected algorithm, in which each agent knows its…

Optimization and Control · Mathematics 2016-11-29 Xianlin Zeng , Peng Yi , Yiguang Hong

Distributed optimization utilizes local computation and communication to realize a global aim of optimizing the sum of local objective functions. This article addresses a class of constrained distributed nonconvex optimization problems…

Optimization and Control · Mathematics 2024-05-07 Zhiyu He , Jianping He , Cailian Chen , Xinping Guan

In this paper, a distributed velocity-constrained consensus problem is studied for discrete-time multi-agent systems, where each agent's velocity is constrained to lie in a nonconvex set. A distributed constrained control algorithm is…

Optimization and Control · Mathematics 2020-03-05 Peng Lin , Wei Ren , Huijun Gao

We consider a decentralized convex unconstrained optimization problem, where the cost function can be decomposed into a sum of strongly convex and smooth functions, associated with individual agents, interacting over a static or…

Optimization and Control · Mathematics 2023-12-12 Dmitry Metelev , Aleksandr Beznosikov , Alexander Rogozin , Alexander Gasnikov , Anton Proskurnikov

Motivated by distributed statistical learning over uncertain communication networks, we study distributed stochastic optimization by networked nodes to cooperatively minimize a sum of convex cost functions. The network is modeled by a…

Systems and Control · Electrical Eng. & Systems 2025-01-03 Yan Chen , Alexander L. Fradkov , Keli Fu , Xiaozheng Fu , Tao Li

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…

Optimization and Control · Mathematics 2017-02-07 Guanghui Lan , Soomin Lee , Yi Zhou

In this work, we consider learning over multitask graphs, where each agent aims to estimate its own parameter vector. Although agents seek distinct objectives, collaboration among them can be beneficial in scenarios where relationships…

Machine Learning · Computer Science 2025-09-23 Yara Zgheib , Luca Calatroni , Marc Antonini , Roula Nassif

In this paper, we propose a new method based on the Sliding Algorithm from Lan(2016, 2019) for the convex composite optimization problem that includes two terms: smooth one and non-smooth one. Our method uses the stochastic noised…

Optimization and Control · Mathematics 2021-06-16 Aleksandr Beznosikov , Eduard Gorbunov , Alexander Gasnikov

Bilevel optimization has been applied to a wide variety of machine learning models, and numerous stochastic bilevel optimization algorithms have been developed in recent years. However, most existing algorithms restrict their focus on the…

Machine Learning · Computer Science 2023-03-28 Hongchang Gao , Bin Gu , My T. Thai

Distributed optimization has gained significant attention in recent years, primarily fueled by the availability of a large amount of data and privacy-preserving requirements. This paper presents a fixed-time convergent optimization…

Systems and Control · Computer Science 2022-05-30 Kunal Garg , Mayank Baranwal

In this paper, we focus on solving a distributed convex optimization problem in a network, where each agent has its own convex cost function and the goal is to minimize the sum of the agents' cost functions while obeying the network…

Optimization and Control · Mathematics 2020-02-11 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

Emerging applications in multi-agent environments such as internet-of-things, networked sensing, autonomous systems and federated learning, call for decentralized algorithms for finite-sum optimizations that are resource-efficient in terms…

Machine Learning · Statistics 2021-12-03 Boyue Li , Zhize Li , Yuejie Chi

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…

Machine Learning · Computer Science 2025-11-03 Matin Ansaripour , Shayan Talaei , Giorgi Nadiradze , Dan Alistarh

We investigate the finite-time analysis of finding ($\delta,\epsilon$)-stationary points for nonsmooth nonconvex objectives in decentralized stochastic optimization. A set of agents aim at minimizing a global function using only their local…

Optimization and Control · Mathematics 2024-06-04 Emre Sahinoglu , Shahin Shahrampour

This paper proposes a new framework for distributed optimization, called distributed aggregative optimization, which allows local objective functions to be dependent not only on their own decision variables, but also on the average of…

Optimization and Control · Mathematics 2020-05-28 Xiuxian Li , Lihua Xie , Yiguang Hong
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