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Distributed optimization advances centralized machine learning methods by enabling parallel and decentralized learning processes over a network of computing nodes. This work provides an accelerated consensus-based distributed algorithm for…

系统与控制 · 电气工程与系统科学 2025-07-01 Mohammadreza Doostmohammadian , Hamid R. Rabiee

In this paper, we study distributed stochastic optimization to minimize a sum of smooth and strongly-convex local cost functions over a network of agents, communicating over a strongly-connected graph. Assuming that each agent has access to…

机器学习 · 计算机科学 2019-04-11 Ran Xin , Anit Kumar Sahu , Usman A. Khan , Soummya Kar

This paper delves into the investigation of a distributed aggregative optimization problem within a network. In this scenario, each agent possesses its own local cost function, which relies not only on the local state variable but also on…

最优化与控制 · 数学 2025-04-01 Jiaxu Liu , Song Chen , Shengze Cai , Chao Xu , Jian Chu

This paper investigates a novel approach for solving the distributed optimization problem in which multiple agents collaborate to find the global decision that minimizes the sum of their individual cost functions. First, the $AB$/Push-Pull…

最优化与控制 · 数学 2023-06-23 Duong Thuy Anh Nguyen , Duong Tung Nguyen , Angelia Nedich

We develop a distributed algorithm for convex Empirical Risk Minimization, the problem of minimizing large but finite sum of convex functions over networks. The proposed algorithm is derived from directly discretizing the second-order…

最优化与控制 · 数学 2018-11-07 Jingzhao Zhang , César A. Uribe , Aryan Mokhtari , Ali Jadbabaie

Distributed optimization over time-varying directed graphs has shown promising performance in addressing challenges posed by complex communication constraints in real-world scenarios. In many practical settings, however, the direct…

最优化与控制 · 数学 2026-05-08 Yaoshuai Ma , Xiao Wang , Wei Yao , Jin Zhang

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

We study a distributed method called SAB-TV, which employs gradient tracking to collaboratively minimize the sum of smooth and strongly-convex local cost functions for networked agents communicating over a time-varying directed graph. Each…

最优化与控制 · 数学 2023-10-31 Duong Thuy Anh Nguyen , Duong Tung Nguyen , Angelia Nedich

Decentralized solutions to finite-sum minimization are of significant importance in many signal processing, control, and machine learning applications. In such settings, the data is distributed over a network of arbitrarily-connected nodes…

机器学习 · 计算机科学 2019-11-14 Ran Xin , Soummya Kar , Usman A. Khan

This paper considers a distributed stochastic non-convex optimization problem, where the nodes in a network cooperatively minimize a sum of $L$-smooth local cost functions with sparse gradients. By adaptively adjusting the stepsizes…

最优化与控制 · 数学 2024-04-01 Dongyu Han , Kun Liu , Yeming Lin , Yuanqing Xia

This paper proposes AB-SAGA, a first-order distributed stochastic optimization method to minimize a finite-sum of smooth and strongly convex functions distributed over an arbitrary directed graph. AB-SAGA removes the uncertainty caused by…

最优化与控制 · 数学 2022-02-08 Muhammad I. Qureshi , Ran Xin , Soummya Kar , Usman A. Khan

This paper considers a distributed stochastic strongly convex optimization, where agents connected over a network aim to cooperatively minimize the average of all agents' local cost functions. Due to the stochasticity of gradient estimation…

最优化与控制 · 数学 2020-02-17 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

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 2019-08-02 Shi Pu , Angelia Nedić

This paper deals with a network of computing agents aiming to solve an online optimization problem in a distributed fashion, i.e., by means of local computation and communication, without any central coordinator. We propose the gradient…

最优化与控制 · 数学 2023-09-13 Guido Carnevale , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

Decentralized methods to solve finite-sum minimization problems are important in many signal processing and machine learning tasks where the data is distributed over a network of nodes and raw data sharing is not permitted due to privacy…

机器学习 · 计算机科学 2020-02-14 Ran Xin , Soummya Kar , Usman A. Khan

In this letter, we study distributed optimization, where a network of agents, abstracted as a directed graph, collaborates to minimize the average of locally-known convex functions. Most of the existing approaches over directed graphs are…

最优化与控制 · 数学 2018-06-08 Ran Xin , Usman A. Khan

In this paper, we investigate a distributed aggregative optimization problem in a network, where each agent has its own local cost function which depends not only on the local state variable but also on an aggregated function of state…

最优化与控制 · 数学 2023-04-18 Jiaxu Liu , Song Chen , Shengze Cai , Chao Xu

This work concerns the analysis and design of distributed first-order optimization algorithms over time-varying graphs. The goal of such algorithms is to optimize a global function that is the average of local functions using only local…

最优化与控制 · 数学 2020-02-17 Akhil Sundararajan , Bryan Van Scoy , Laurent Lessard

We propose a distributed version of the Alternating Direction Method of Multipliers (ADMM) with linear updates for directed networks. We show that if the objective function of the minimization problem is smooth and strongly convex, our…

最优化与控制 · 数学 2023-09-21 Kiran Rokade , Rachel Kalpana Kalaimani

This paper presents a novel accelerated distributed algorithm for unconstrained consensus optimization over static undirected networks. The proposed algorithm combines the benefits of acceleration from momentum, the robustness of the…

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