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Distributed optimization is an important direction of research in modern optimization theory. Its applications include large scale machine learning, distributed signal processing and many others. The paper studies decentralized min-max…

最优化与控制 · 数学 2023-09-08 Nhat Trung Nguyen , Alexander Rogozin , Dmitry Metelev , Alexander Gasnikov

In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

系统与控制 · 电气工程与系统科学 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Decentralized optimization has emerged as a critical paradigm for distributed learning, enabling scalable training while preserving data privacy through peer-to-peer collaboration. However, existing methods often suffer from communication…

机器学习 · 计算机科学 2026-01-06 Yijie Zhou , Shi Pu

Partial diffusion scheme is an effective method for reducing computational load and power consumption in adaptive network implementation. The Information is exchanged among the nodes, usually over noisy links. In this paper, we consider a…

系统与控制 · 计算机科学 2015-12-01 Vahid Vadidpour , Amir Rastegarnia , Azam Khalili , Saeid Sanei

We propose a distributed algorithm, named Distributed Alternating Direction Method of Multipliers (D-ADMM), for solving separable optimization problems in networks of interconnected nodes or agents. In a separable optimization problem there…

最优化与控制 · 数学 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

The goal of a denoising algorithm is to recover a signal from its noise-corrupted observations. Perfect recovery is seldom possible and performance is measured under a given single-letter fidelity criterion. For discrete signals corrupted…

信息论 · 计算机科学 2007-07-13 George Gemelos , Styrmir Sigurjonsson , Tsachy Weissman

Distributed optimization methods with local updates have recently attracted a lot of attention due to their potential to reduce the communication cost of distributed methods. In these algorithms, a collection of nodes performs several local…

最优化与控制 · 数学 2023-10-11 Sulaiman A. Alghunaim

This paper develops algorithms for decentralized machine learning over a network, where data are distributed, computation is localized, and communication is restricted between neighbors. A line of recent research in this area focuses on…

最优化与控制 · 数学 2020-08-06 Yanli Liu , Yuejiao Sun , Wotao Yin

A variant of consensus based distributed gradient descent (\textbf{DGD}) is studied for finite sums of smooth but possibly non-convex functions. In particular, the local gradient term in the fixed step-size iteration of each agent is…

最优化与控制 · 数学 2026-05-27 Lei Qin , Michael Cantoni , Ye Pu

In this paper a new distributed asynchronous algorithm is proposed for time synchronization in networks with random communication delays, measurement noise and communication dropouts. Three different types of the drift correction algorithm…

系统与控制 · 计算机科学 2018-02-05 Milos S. Stankovic , Srdjan S. Stankovic , Karl Henrik Johansson

This paper introduces the Discrete Dithered Desynchronization (D3sync) algorithm which is a decentralized Time Division Multiple Access (TDMA) technique in which a set of network nodes computes iteratively a conflict-free schedule so that…

网络与互联网体系结构 · 计算机科学 2012-10-09 Saman Ashkiani , Anna Scaglione

The present paper considers leveraging network topology information to improve the convergence rate of ADMM for decentralized optimization, where networked nodes work collaboratively to minimize the objective. Such problems can be solved…

最优化与控制 · 数学 2019-05-28 Meng Ma , Bingcong Li , Georgios B. Giannakis

The stochastic compositional minimax problem has attracted a surge of attention in recent years since it covers many emerging machine learning models. Meanwhile, due to the emergence of distributed data, optimizing this kind of problem…

机器学习 · 计算机科学 2023-08-02 Hongchang Gao

Designing policies for a network of agents is typically done by formulating an optimization problem where each agent has access to state measurements of all the other agents in the network. Such policy designs with centralized information…

最优化与控制 · 数学 2024-05-02 Georgios Darivianakis , Angelos Georghiou , Soroosh Shafiee , John Lygeros

In this paper, we focus on the decentralized composite optimization for convex functions. Because of advantages such as robust to the network and no communication bottle-neck in the central server, the decentralized optimization has…

最优化与控制 · 数学 2024-07-16 Haishan Ye , Xiangyu Chang

We develop a new consensus-based distributed algorithm for solving learning problems with feature partitioning and non-smooth convex objective functions. Such learning problems are not separable, i.e., the associated objective functions…

信号处理 · 电气工程与系统科学 2022-08-25 Cristiano Gratton , Naveen K. D. Venkategowda , Reza Arablouei , Stefan Werner

In decentralized optimization, nodes cooperate to minimize an overall objective function that is the sum (or average) of per-node private objective functions. Algorithms interleave local computations with communication among all or a subset…

最优化与控制 · 数学 2018-01-16 Angelia Nedić , Alex Olshevsky , Michael G. Rabbat

The ProxSkip algorithm for distributed optimization is gaining increasing attention due to its effectiveness in reducing communication. However, existing analyses of ProxSkip are limited to the strongly convex setting and fail to achieve…

机器学习 · 计算机科学 2026-05-19 Luyao Guo , Sulaiman A. Alghunaim , Kun Yuan , Laurent Condat , Jinde Cao

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

最优化与控制 · 数学 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

In this paper, we investigate the diffusion least mean square (DLMS) algorithm over fading channel, where in addition to channel noise and path-loss the inter-node-interference (INI) among neighboring nodes of a host node is also taken into…

信号处理 · 电气工程与系统科学 2023-03-21 Mohammadjavad Mirzazadeh Moallem , Mehdi Korki