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We consider a class of multi-agent cooperative consensus optimization problems with local nonlinear convex constraints where only those agents connected by an edge can directly communicate, hence, the optimal consensus decision lies in the…

最优化与控制 · 数学 2023-02-23 Nazanin Abolfazli , Afrooz Jalilzadeh , Erfan Yazdandoost Hamedani

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

We study the problem of distributed zero-order optimization for a class of strongly convex functions. They are formed by the average of local objectives, associated to different nodes in a prescribed network of connections. We propose a…

最优化与控制 · 数学 2021-06-29 Arya Akhavan , Massimiliano Pontil , Alexandre B. Tsybakov

In this paper, we study distributed big-data nonconvex optimization in multi-agent networks. We consider the (constrained) minimization of the sum of a smooth (possibly) nonconvex function, i.e., the agents' sum-utility, plus a convex…

分布式、并行与集群计算 · 计算机科学 2018-05-03 Ivano Notarnicola , Ying Sun , Gesualdo Scutari , Giuseppe Notarstefano

Recently, several universal methods have been proposed for online convex optimization, and attain minimax rates for multiple types of convex functions simultaneously. However, they need to design and optimize one surrogate loss for each…

机器学习 · 计算机科学 2024-11-21 Lijun Zhang , Yibo Wang , Guanghui Wang , Jinfeng Yi , Tianbao Yang

This paper studies a class of distributed online convex optimization problems for heterogeneous linear multi-agent systems. Agents in a network, knowing only their own outputs, need to minimize the time-varying costs through neighboring…

最优化与控制 · 数学 2023-07-04 Yang Yu , Xiuxian Li , Li Li , Lihua Xie

We study a class of zeroth-order distributed optimization problems, where each agent can control a partial vector and observe a local cost that depends on the joint vector of all agents, and the agents can communicate with each other with…

最优化与控制 · 数学 2024-01-09 Xinran Zheng , Tara Javidi , Behrouz Touri

This paper is devoted to distributed continuous-time and discrete-time optimization problems with nonuniform convex constraint sets and nonuniform stepsizes for general differentiable convex objective functions. The communication graphs are…

最优化与控制 · 数学 2020-03-03 Peng Lin , Wei Ren , Chunhua Yang , Weihua Gui

We consider the task of minimizing the sum of smooth and strongly convex functions stored in a decentralized manner across the nodes of a communication network whose links are allowed to change in time. We solve two fundamental problems for…

最优化与控制 · 数学 2021-06-09 Dmitry Kovalev , Elnur Gasanov , Peter Richtárik , Alexander Gasnikov

We study distributed non-convex optimization on a time-varying multi-agent network. Each node has access to its own smooth local cost function, and the collective goal is to minimize the sum of these functions. We generalize the results…

最优化与控制 · 数学 2016-12-06 Tatiana Tatarenko , Behrouz Touri

This paper addresses tracking of a moving target in a multi-agent network. The target follows a linear dynamics corrupted by an adversarial noise, i.e., the noise is not generated from a statistical distribution. The location of the target…

最优化与控制 · 数学 2017-02-22 Shahin Shahrampour , Ali Jadbabaie

In this paper, we consider a distributed online convex optimization problem over a time-varying multi-agent network. The goal of this network is to minimize a global loss function through local computation and communication with neighbors.…

最优化与控制 · 数学 2024-06-17 Wentao Zhang , Yang Shi , Baoyong Zhang , Deming Yuan

We propose a novel approach for analyzing dynamic regret of first-order constrained online convex optimization algorithms for strongly convex and Lipschitz-smooth objectives. Crucially, we provide a general analysis that is applicable to a…

最优化与控制 · 数学 2025-08-22 Fabian Jakob , Andrea Iannelli

In this paper, we study a variant of the quadratic penalty method for linearly constrained convex problems, which has already been widely used but actually lacks theoretical justification. Namely, the penalty parameter steadily increases…

数值分析 · 数学 2017-11-30 Huan Li , Cong Fang , Zhouchen Lin

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,…

最优化与控制 · 数学 2017-04-10 Kevin Scaman , Francis Bach , Sébastien Bubeck , Yin Tat Lee , Laurent Massoulié

In this paper, we consider an online distributed composite optimization problem over a time-varying multi-agent network that consists of multiple interacting nodes, where the objective function of each node consists of two parts: a loss…

最优化与控制 · 数学 2020-04-03 Deming Yuan , Yiguang Hong , Daniel W. C. Ho , Shengyuan Xu

We consider the problem of tracking the minimum of a time-varying convex optimization problem over a dynamic graph. Motivated by target tracking and parameter estimation problems in intermittently connected robotic and sensor networks, the…

最优化与控制 · 数学 2019-05-20 Rishabh Dixit , Amrit Singh Bedi , Ketan Rajawat

We study the problem of minimizing the sum of potentially non-differentiable convex cost functions with partially overlapping dependences in an asynchronous manner, where communication in the network is not coordinated. We study the…

最优化与控制 · 数学 2021-02-17 Yankai Lin , Iman Shames , Dragan Nesic

We propose a novel algorithm for solving convex, constrained and distributed optimization problems defined on multi-agent-networks, where each agent has exclusive access to a part of the global objective function. The agents are able to…

系统与控制 · 电气工程与系统科学 2020-08-12 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

In this paper, the problem of online distributed zeroth-order optimization subject to a set constraint is studied via a multi-agent network, where each agent can communicate with its immediate neighbors via a time-varying directed graph.…

系统与控制 · 电气工程与系统科学 2025-11-05 Yanfu Qin , Kaihong Lu