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In this article, we propose a new approach, optimize then agree for minimizing a sum $ f = \sum_{i=1}^n f_i(x)$ of convex objective functions over a directed graph. The optimize then agree approach decouples the optimization step and the…

系统与控制 · 电气工程与系统科学 2021-05-27 Vivek Khatana , Govind Saraswat , Sourav Patel , Murti V. Salapaka

There has been a growing effort in studying the distributed optimization problem over a network. The objective is to optimize a global function formed by a sum of local functions, using only local computation and communication. Literature…

最优化与控制 · 数学 2017-05-02 Guannan Qu , Na Li

Feedback optimization is an increasingly popular control paradigm to optimize dynamical systems, accounting for control objectives that concern the system operation at steady-state. Existing feedback optimization techniques heavily rely on…

最优化与控制 · 数学 2025-04-08 Amir Mehrnoosh , Gianluca Bianchin

In this work, we consider a distributed multi-agent stochastic optimization problem, where each agent holds a local objective function that is smooth and convex, and that is subject to a stochastic process. The goal is for all agents to…

最优化与控制 · 数学 2022-10-12 Elissa Mhanna , Mohamad Assaad

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

We study distributed algorithms for solving global optimization problems in which the objective function is the sum of local objective functions of agents and the constraint set is given by the intersection of local constraint sets of…

最优化与控制 · 数学 2015-03-14 Ilan Lobel , Asuman Ozdaglar , Diego Feijer

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…

最优化与控制 · 数学 2019-08-02 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

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

最优化与控制 · 数学 2019-10-23 Jinming Xu , Ying Sun , Ye Tian , Gesualdo Scutari

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,…

最优化与控制 · 数学 2022-05-31 Jianzheng Wang , Guoqiang Hu

This paper proposes distributed discrete-time algorithms to cooperatively solve an additive cost optimization problem in multi-agent networks. The striking feature lies in the use of only the sign of relative state information between…

系统与控制 · 计算机科学 2018-12-11 Jiaqi Zhang , Keyou You , Tamer Başar

This paper presents a novel distributed formulation of the min-max optimization problem. Such a formulation enables enhanced flexibility among agents when optimizing their maximization variables. To address the problem, we propose two…

最优化与控制 · 数学 2025-05-19 Runze You , Kun Huang , Shi Pu

We consider a general multi-agent convex optimization problem where the agents are to collectively minimize a global objective function subject to a global inequality constraint, a global equality constraint, and a global constraint set.…

最优化与控制 · 数学 2011-05-13 Minghui Zhu , Sonia Martinez

In this paper, we propose a fully distributed algorithm for second-order continuous-time multi-agent systems to solve the distributed optimization problem. The global objective function is a sum of private cost functions associated with the…

最优化与控制 · 数学 2019-04-15 Xinlei Yi , Lisha Yao , Tao Yang , Jemin George , Karl H. Johansson

We consider minimizing a sum of agent-specific nondifferentiable merely convex functions over the solution set of a variational inequality (VI) problem in that each agent is associated with a local monotone mapping. This problem finds an…

最优化与控制 · 数学 2022-12-13 Harshal D. Kaushik , Sepideh Samadi , Farzad Yousefian

Distributed optimization enables networked agents to cooperatively solve a global optimization problem even with each participating agent only having access to a local partial view of the objective function. Despite making significant…

最优化与控制 · 数学 2022-10-04 Yongqiang Wang , Tamer Başar

This paper considers a distributed convex optimization problem over a time-varying multi-agent network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

最优化与控制 · 数学 2018-05-22 Chuanye Gu , Zhiyou Wu , Jueyou Li , Yaning Guo

We consider a multi-agent optimization problem where agents subject to local, intermittent interactions aim to minimize a sum of local objective functions subject to a global inequality constraint and a global state constraint set. In…

最优化与控制 · 数学 2012-10-10 Minghui Zhu , Sonia Martinez

This paper investigates distributed online convex optimization in the presence of an aggregative variable without any global/central coordinators over a multi-agent network, where each individual agent is only able to access partial…

最优化与控制 · 数学 2020-07-15 Xiuxian Li , Xinlei Yi , Lihua Xie

We study finite-time performance of a recently proposed distributed dual subgradient (DDSG) method for convex constrained multi-agent optimization problems. The algorithm enjoys performance guarantees on the last primal iterate, as opposed…

最优化与控制 · 数学 2023-07-28 Subhonmesh Bose , Hoa Dinh Nguyen , Haitian Liu , Ye Guo , Thinh T. Doan , Carolyn L. Beck

This papers studies multi-agent (convex and \emph{nonconvex}) optimization over static digraphs. We propose a general distributed \emph{asynchronous} algorithmic framework whereby i) agents can update their local variables as well as…

最优化与控制 · 数学 2019-09-12 Ye Tian , Ying Sun , Gesualdo Scutari