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In this paper, we present a distributed algorithm for solving convex, constraint-coupled, optimization problems over peer-to-peer networks. We consider a network of processors that aim to cooperatively minimize the sum of local cost…

最优化与控制 · 数学 2021-04-14 Andrea Camisa , Alessia Benevento , Giuseppe Notarstefano

In this work, we consider the problem of a network of agents collectively minimizing a sum of convex functions. The agents in our setting can only access their local objective functions and exchange information with their immediate…

最优化与控制 · 数学 2019-10-01 Charikleia Iakovidou , Ermin Wei

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

We investigate a distributed optimization problem over a cooperative multi-agent time-varying 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 2018-05-24 Chuanye Gu , Zhiyou Wu , Jueyou Li

While many distributed optimization algorithms have been proposed for solving smooth or convex problems over the networks, few of them can handle non-convex and non-smooth problems. Based on a proximal primal-dual approach, this paper…

最优化与控制 · 数学 2021-09-01 Zhiguo Wang , Jiawei Zhang , Tsung-Hui Chang , Jian Li , Zhi-Quan Luo

We focus on decentralized stochastic non-convex optimization, where $n$ agents work together to optimize a composite objective function which is a sum of a smooth term and a non-smooth convex term. To solve this problem, we propose two…

最优化与控制 · 数学 2023-06-23 Tesi Xiao , Xuxing Chen , Krishnakumar Balasubramanian , Saeed Ghadimi

We address the problem of multiple local optima arising due to non-convex objective functions in cooperative multi-agent optimization problems. To escape such local optima, we propose a systematic approach based on the concept of boosting…

最优化与控制 · 数学 2020-07-16 Shirantha Welikala , Christos G. Cassandras

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…

最优化与控制 · 数学 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

In this paper, we propose a new framework to study distributed optimization problems with stochastic gradients by employing a multi-agent system with continuous-time dynamics. Here the goal of the agents is to cooperatively minimize the sum…

系统与控制 · 电气工程与系统科学 2026-02-10 Jianhua Sun , Kaihong Lu , Xin Yu

This paper focuses on the distributed optimization of stochastic saddle point problems. The first part of the paper is devoted to lower bounds for the centralized and decentralized distributed methods for smooth (strongly) convex-(strongly)…

机器学习 · 计算机科学 2025-04-28 Aleksandr Beznosikov , Valentin Samokhin , Alexander Gasnikov

This paper studies a distributed continuous-time aggregative optimization problem, which is a fundamental problem in the price-based energy management. The objective of the distributed aggregative optimization is to minimize the sum of…

最优化与控制 · 数学 2023-09-26 Xin Cai , Feng Xiao , Bo Wei , Aiping Wang

In this paper, we consider a stochastic distributed nonconvex optimization problem with the cost function being distributed over $n$ agents having access only to zeroth-order (ZO) information of the cost. This problem has various machine…

最优化与控制 · 数学 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Karl H. Johansson

We provide a unifying framework for distributed convex optimization over time-varying networks, in the presence of constraints and uncertainty, features that are typically treated separately in the literature. We adopt a proximal…

最优化与控制 · 数学 2017-05-24 Kostas Margellos , Alessandro Falsone , Simone Garatti , Maria Prandini

We consider the problem of solving a smooth convex optimization problem with equality and inequality constraints in a distributed fashion. Assuming that we have a group of agents available capable of communicating over a communication…

最优化与控制 · 数学 2018-03-01 Simon Michalowsky , Bahman Gharesifard , Christian Ebenbauer

Block coordinate descent is an optimization paradigm that iteratively updates one block of variables at a time, making it quite amenable to big data applications due to its scalability and performance. Its convergence behavior has been…

最优化与控制 · 数学 2023-10-13 Liangzu Peng , René Vidal

We propose a communication- and computation-efficient distributed optimization algorithm using second-order information for solving ERM problems with a nonsmooth regularization term. Current second-order and quasi-Newton methods for this…

最优化与控制 · 数学 2018-05-29 Ching-pei Lee , Cong Han Lim , Stephen J. Wright

We develop and analyze an asynchronous algorithm for distributed convex optimization when the objective writes a sum of smooth functions, local to each worker, and a non-smooth function. Unlike many existing methods, our distributed…

最优化与控制 · 数学 2019-12-13 Konstantin Mishchenko , Franck Iutzeler , Jérôme Malick

This paper studies distributed stochastic nonconvex optimization problems with compressed communication and differential privacy, in which each agent aims to minimize the sum of all agents' cost functions by using local compressed…

最优化与控制 · 数学 2026-03-24 Antai Xie , Xiaoqiang Ren , Xinlei Yi , Tao Yang , Xiaofan Wang

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

This paper studies efficient distributed optimization methods for multi-agent networks. Specifically, we consider a convex optimization problem with a globally coupled linear equality constraint and local polyhedra constraints, and develop…

系统与控制 · 计算机科学 2016-11-15 Tsung-Hui Chang
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