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This paper develops a distributed primal-dual algorithm via event-triggered mechanism to solve a class of convex optimization problems subject to local set constraints, coupled equality and inequality constraints. Different from some…

Optimization and Control · Mathematics 2022-10-27 Yi Huang , Xianlin Zeng , Ziyang Meng , Jian Sun

We consider a network of agents, each with its own private cost consisting of the sum of two possibly nonsmooth convex functions, one of which is composed with a linear operator. At every iteration each agent performs local calculations and…

Optimization and Control · Mathematics 2017-03-14 Puya Latafat , Lorenzo Stella , Panagiotis Patrinos

In this paper, we determine the optimal convergence rates for strongly convex and smooth distributed optimization in two settings: centralized and decentralized communications over a network. For centralized (i.e. master/slave) algorithms,…

Optimization and Control · Mathematics 2017-04-10 Kevin Scaman , Francis Bach , Sébastien Bubeck , Yin Tat Lee , Laurent Massoulié

The distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of $n$ local cost functions by using local information exchange is considered. This problem is an important component of many machine…

Optimization and Control · Mathematics 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

We investigate the distributed multi-agent sharing optimization problem in a directed graph, with a composite objective function consisting of a smooth function plus a convex (possibly non-smooth) function shared by all agents. While…

Optimization and Control · Mathematics 2024-06-21 Sajad Zandi , Mehdi Korki

We formulate an optimization problem for maximizing the data rate of a common message transmitted from nodes within an airborne network broadcast to a central station receiver while maintaining a set of intra-network rate demands. Assuming…

Optimization and Control · Mathematics 2017-06-08 Theodoros Tsiligkaridis

We consider a distributed stochastic optimization problem that is solved by a decentralized network of agents with only local communication between neighboring agents. The goal of the whole system is to minimize a global objective function…

Optimization and Control · Mathematics 2022-11-10 Alexander Rogozin , Mikhail Bochko , Pavel Dvurechensky , Alexander Gasnikov , Vladislav Lukoshkin

We consider distributed nonconvex optimization over an undirected network, where each node privately possesses its local objective and communicates exclusively with its neighboring nodes, striving to collectively achieve a common optimal…

Optimization and Control · Mathematics 2026-03-11 Zichong Ou , Jie Lu

In this paper, we develop a distributed algorithm for solving a class of distributed convex optimization problems where the local objective functions can be a general nonsmooth function, and all equalities and inequalities are network-wide…

Optimization and Control · Mathematics 2026-04-14 Yeong-Ung Kim , Hyo-Sung Ahn

This paper delves into the investigation of a distributed aggregative optimization problem within a network. In this scenario, each agent possesses its own local cost function, which relies not only on the local state variable but also on…

Optimization and Control · Mathematics 2025-04-01 Jiaxu Liu , Song Chen , Shengze Cai , Chao Xu , Jian Chu

This paper investigates accelerating the convergence of distributed optimization algorithms on non-convex problems. We propose a distributed primal-dual stochastic gradient descent~(SGD) equipped with "powerball" method to accelerate. We…

Optimization and Control · Mathematics 2021-10-15 Shengjun Zhang , Colleen P. Bailey

We consider the setting of agents cooperatively minimizing the sum of local objectives plus a regularizer on a graph. This paper proposes a primal-dual method in consideration of three distinctive attributes of real-life multi-agent…

Optimization and Control · Mathematics 2023-12-11 Ziyi Yu , Nikolaos M. Freris

This paper focuses on the distributed online convex optimization problem with time-varying inequality constraints over a network of agents, where each agent collaborates with its neighboring agents to minimize the cumulative network-wide…

Optimization and Control · Mathematics 2024-05-06 Kunpeng Zhang , Xinlei Yi , Yuzhe Li , Ming Cao , Tianyou Chai , Tao Yang

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

This paper presents a distributed optimization scheme over a network of agents in the presence of cost uncertainties and over switching communication topologies. Inspired by recent advances in distributed convex optimization, we propose a…

Optimization and Control · Mathematics 2016-11-15 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

In this paper, we aim to solve a distributed optimization problem with affine coupling constraints in a multi-agent network, where the cost function of the agents is composed of smooth and possibly non-smooth parts. To solve this problem,…

Optimization and Control · Mathematics 2022-05-31 Jianzheng Wang , Guoqiang Hu

Unions of graph multiplier operators are an important class of linear operators for processing signals defined on graphs. We present a novel method to efficiently distribute the application of these operators. The proposed method features…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-01 David I Shuman , Pierre Vandergheynst , Daniel Kressner , Pascal Frossard

This paper develops a unified distributed method for solving two classes of constrained networked optimization problems, i.e., optimal consensus problem and resource allocation problem with non-identical set constraints. We first transform…

Optimization and Control · Mathematics 2023-07-17 Yi Huang , Ziyang Meng , Jian Sun , Wei Ren

We study distributed (strongly convex) optimization problems over a network of agents, with no centralized nodes. The loss functions of the agents are assumed to be \textit{similar}, due to statistical data similarity or otherwise. In order…

Optimization and Control · Mathematics 2022-04-12 Ye Tian , Gesualdo Scutari , Tianyu Cao , Alexander Gasnikov

We present a primal-dual algorithmic framework to obtain approximate solutions to a prototypical constrained convex optimization problem, and rigorously characterize how common structural assumptions affect the numerical efficiency. Our…

Optimization and Control · Mathematics 2015-03-04 Quoc Tran-Dinh , Volkan Cevher