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相关论文: On the Role of Data Homogeneity in Multi-Agent Non…

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This paper studies the effect of data homogeneity on multi-agent stochastic optimization. We consider the decentralized stochastic gradient (DSGD) algorithm and perform a refined convergence analysis. Our analysis is explicit on the…

最优化与控制 · 数学 2024-09-09 Qiang Li , Hoi-To Wai

This paper is concerned with minimizing the average of $n$ cost functions over a network in which agents may communicate and exchange information with each other. We consider the setting where only noisy gradient information is available.…

最优化与控制 · 数学 2021-02-02 Shi Pu , Alex Olshevsky , Ioannis Ch. Paschalidis

We consider the decentralized stochastic optimization problems, where a network of $n$ nodes, each owning a local cost function, cooperate to find a minimizer of the globally-averaged cost. A widely studied decentralized algorithm for this…

最优化与控制 · 数学 2022-03-04 Kun Yuan , Sulaiman A. Alghunaim , Xinmeng Huang

In this paper, we study the problem of distributed multi-agent optimization over a network, where each agent possesses a local cost function that is smooth and strongly convex. The global objective is to find a common solution that…

最优化与控制 · 数学 2020-03-11 Shi Pu , Angelia Nedić

We consider the distributed optimization problem where $n$ agents each possessing a local cost function, collaboratively minimize the average of the $n$ cost functions over a connected network. Assuming stochastic gradient information is…

最优化与控制 · 数学 2021-05-12 Kun Huang , Shi Pu

Stochastic distributed optimization methods that solve an optimization problem over a multi-agent network have played an important role in a variety of large-scale signal processing and machine leaning applications. Among the existing…

最优化与控制 · 数学 2023-02-06 Songyang Ge , Tsung-Hui Chang

Distributed Optimization is an increasingly important subject area with the rise of multi-agent control and optimization. We consider a decentralized stochastic optimization problem where the agents on a graph aim to asynchronously optimize…

最优化与控制 · 数学 2021-10-22 Vyacheslav Kungurtsev , Mahdi Morafah , Tara Javidi , Gesualdo Scutari

We study high-probability (HP) convergence guarantees in decentralized stochastic optimization, where multiple agents collaborate to jointly train a model over a network. Existing HP results in decentralized settings almost exclusively…

机器学习 · 计算机科学 2026-05-04 Aleksandar Armacki , Haoyuan Cai , Ali H. Sayed

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 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 studies distributed nonconvex optimization problems with stochastic gradients for a multi-agent system, in which each agent aims to minimize the sum of all agents' cost functions by using local compressed information exchange. We…

最优化与控制 · 数学 2024-03-05 Antai Xie , Xinlei Yi , Xiaofan Wang , Ming Cao , Xiaoqiang Ren

We consider a multi-agent setting with agents exchanging information over a possibly time-varying network, aiming at minimising a separable objective function subject to constraints. To achieve this objective we propose a novel subgradient…

最优化与控制 · 数学 2020-11-20 Licio Romao , Kostas Margellos , Giuseppe Notarstefano , Antonis Papachristodoulou

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

Distributed optimization has a rich history. It has demonstrated its effectiveness in many machine learning applications, etc. In this paper we study a subclass of distributed optimization, namely decentralized optimization in a non-smooth…

This paper proposes a new framework for distributed optimization, called distributed aggregative optimization, which allows local objective functions to be dependent not only on their own decision variables, but also on the average of…

最优化与控制 · 数学 2020-05-28 Xiuxian Li , Lihua Xie , Yiguang Hong

Asynchronous stochastic gradient descent (ASGD) is a standard way to exploit heterogeneous compute resources in distributed learning: instead of forcing fast workers to wait for slow ones, the server updates the model whenever a gradient…

机器学习 · 计算机科学 2026-05-14 Ammar Mahran , Artavazd Maranjyan , Peter Richtárik

In this paper, we consider solving the distributed optimization problem over a multi-agent network under the communication restricted setting. We study a compressed decentralized stochastic gradient method, termed ``compressed exact…

最优化与控制 · 数学 2024-10-01 Kun Huang , Shi Pu

Distributed stochastic optimization has drawn great attention recently due to its effectiveness in solving large-scale machine learning problems. Though numerous algorithms have been proposed and successfully applied to general practical…

最优化与控制 · 数学 2023-12-15 Kun Huang , Xiao Li , Shi Pu

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

Classical optimization theory largely focuses on fixed objective functions, whereas many modern learning systems operate in dynamic environments where data arrive sequentially and decisions must be updated continuously. In this work, we…

信号处理 · 电气工程与系统科学 2026-05-11 Muhammad Faraz Ul Abrar , Nicolò Michelusi , Erik G. Larsson
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