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This note studies the distributed non-convex optimization problem with non-smooth regularization, which has wide applications in decentralized learning, estimation and control. The objective function is the sum of different local objective…

最优化与控制 · 数学 2021-03-04 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen

Existing asynchronous distributed optimization algorithms often use diminishing step-sizes that cause slow practical convergence, or use fixed step-sizes that depend on and decrease with an upper bound of the delays. Not only are such delay…

最优化与控制 · 数学 2024-11-08 Xuyang Wu , Changxin Liu , Sindri Magnusson , Mikael Johansson

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…

最优化与控制 · 数学 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

A novel distributed algorithm is proposed for finite-time converging to a feasible consensus solution satisfying global optimality to a certain accuracy of the distributed robust convex optimization problem (DRCO) subject to bounded…

最优化与控制 · 数学 2023-09-06 Xunhao Wu , Jun Fu

We address the problem of distributed uncon- strained convex optimization under separability assumptions, i.e., the framework where each agent of a network is endowed with a local private multidimensional convex cost, is subject to…

最优化与控制 · 数学 2015-11-06 Damiano Varagnolo , Filippo Zanella , Angelo Cenedese , Gianluigi Pillonetto , Luca Schenato

In this note, we study distributed time-varying optimization for a multi-agent system. We first focus on a class of time-varying quadratic cost functions, and develop a new distributed algorithm that integrates an average estimator and an…

系统与控制 · 电气工程与系统科学 2024-08-06 Liangze Jiang , Zheng-Guang Wu , Lei Wang

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…

系统与控制 · 电气工程与系统科学 2025-01-03 Yan Chen , Alexander L. Fradkov , Keli Fu , Xiaozheng Fu , Tao Li

We propose a distributed solution for a constrained convex optimization problem over a network of clustered agents each consisted of a set of subagents. The communication range of the clustered agents is such that they can form a connected…

多智能体系统 · 计算机科学 2021-04-06 Hossein Moradian , Solmaz S. Kia

Real-time adaptive control of nonlinear systems with unknown dynamics and time-varying disturbances demands precise modeling and robust parameter adaptation. While existing neural network-based strategies struggle with computational…

系统与控制 · 电气工程与系统科学 2025-06-17 Mingcong Li

A multi-agent optimization problem motivated by the management of energy systems is discussed. The associated cost function is separable and convex although not necessarily strongly convex and there exist edge-based coupling equality…

最优化与控制 · 数学 2022-06-03 Wicak Ananduta , Angelia Nedić , Carlos Ocampo-Martinez

This paper studies the continuous-time distributed optimization of a sum of convex functions over directed graphs. Contrary to what is known in the consensus literature, where the same dynamics works for both undirected and directed…

最优化与控制 · 数学 2015-03-20 Bahman Gharesifard , Jorge Cortes

Distributed optimization for resource allocation problems is investigated and a sub-optimal continuous-time algorithm is proposed. Our algorithm has lower order dynamics than others to reduce burdens of computation and communication, and is…

最优化与控制 · 数学 2020-02-13 Shu Liang , Xianlin Zeng , Guanpu Chen , Yiguang Hong

In this paper, we study the distributed nonconvex optimization problem, which aims to minimize the average value of the local nonconvex cost functions using local information exchange. To reduce the communication overhead, we introduce…

最优化与控制 · 数学 2025-02-12 Lei Xu , Xinlei Yi , Guanghui Wen , Yang Shi , Karl H. Johansson , Tao Yang

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…

最优化与控制 · 数学 2026-03-11 Zichong Ou , Jie Lu

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…

分布式、并行与集群计算 · 计算机科学 2016-02-02 Paolo Di Lorenzo , Gesualdo Scutari

This paper studies a distributed multi-agent convex optimization problem. The system comprises multiple agents in this problem, each with a set of local data points and an associated local cost function. The agents are connected to a…

最优化与控制 · 数学 2021-08-20 Kushal Chakrabarti , Nirupam Gupta , Nikhil Chopra

Efficient methods to provide sub-optimal solutions to non-convex optimization problems with knowledge of the solution's sub-optimality would facilitate the widespread application of nonlinear optimal control algorithms. To that end,…

最优化与控制 · 数学 2023-04-10 Prithvi Akella , Aaron D. Ames

The paper proposes a distributed eventtriggered consensus approach for linear multi-agent systems with guarantees over rate of convergence, resilience to control gain uncertainties, and Pareto optimality of design parameters, namely, the…

系统与控制 · 计算机科学 2019-06-17 Amir Amini , Arash Mohammadi , Amir Asif

We consider distributed optimization by a collection of nodes, each having access to its own convex function, whose collective goal is to minimize the sum of the functions. The communications between nodes are described by a time-varying…

最优化与控制 · 数学 2014-03-18 Angelia Nedic , Alex Olshevsky

This paper proposes a novel class of distributed continuous-time coordination algorithms to solve network optimization problems whose cost function is a sum of local cost functions associated to the individual agents. We establish the…

最优化与控制 · 数学 2014-08-25 Solmaz S. Kia , Jorge Cortes , Sonia Martinez