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相关论文: A Block-wise, Asynchronous and Distributed ADMM Al…

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Aiming at solving large-scale learning problems, this paper studies distributed optimization methods based on the alternating direction method of multipliers (ADMM). By formulating the learning problem as a consensus problem, the ADMM can…

分布式、并行与集群计算 · 计算机科学 2016-05-04 Tsung-Hui Chang , Mingyi Hong , Wei-Cheng Liao , Xiangfeng Wang

The alternating direction method of multipliers (ADMM) has been popular for solving many signal processing problems, convex or nonconvex. In this paper, we study an asynchronous implementation of the ADMM for solving a nonconvex nonsmooth…

信息论 · 计算机科学 2014-12-19 Mingyi Hong

Large scale, non-convex optimization problems arising in many complex networks such as the power system call for efficient and scalable distributed optimization algorithms. Existing distributed methods are usually iterative and require…

最优化与控制 · 数学 2017-10-26 Junyao Guo , Gabriela Hug , Ozan Tonguz

We consider the consensual distributed optimization problem and propose an asynchronous version of the Alternating Direction Method of Multipliers (ADMM) algorithm to solve it. The `asynchronous' part here refers to the fact that only one…

最优化与控制 · 数学 2022-04-01 Suhail M. Shah , Konstantin E. Avrachenkov

We consider the problem of minimizing block-separable convex functions subject to linear constraints. While the Alternating Direction Method of Multipliers (ADMM) for two-block linear constraints has been intensively studied both…

最优化与控制 · 数学 2014-09-15 Huahua Wang , Arindam Banerjee , Zhi-Quan Luo

Linearized alternating direction method of multipliers (ADMM) as an extension of ADMM has been widely used to solve linearly constrained problems in signal processing, machine leaning, communications, and many other fields. Despite its…

最优化与控制 · 数学 2017-11-02 Qinghua Liu , Xinyue Shen , Yuantao Gu

The alternating direction method of multipliers (ADMM) is commonly used for distributed model fitting problems, but its performance and reliability depend strongly on user-defined penalty parameters. We study distributed ADMM methods that…

机器学习 · 计算机科学 2017-06-21 Zheng Xu , Gavin Taylor , Hao Li , Mario Figueiredo , Xiaoming Yuan , Tom Goldstein

In this paper, we propose an algorithmic framework, dubbed inertial alternating direction methods of multipliers (iADMM), for solving a class of nonconvex nonsmooth multiblock composite optimization problems with linear constraints. Our…

最优化与控制 · 数学 2023-01-26 Le Thi Khanh Hien , Duy Nhat Phan , Nicolas Gillis

In this paper, a centralized two-block separable optimization is considered for which a fully parallel primal-dual discrete-time algorithm with fixed step size is derived based on monotone operator splitting method. In this algorithm, the…

最优化与控制 · 数学 2020-09-30 S. Sh. Alaviani , A. G. Kelkar

This paper considers the distributed optimization of a sum of locally observable, non-convex functions. The optimization is performed over a multi-agent networked system, and each local function depends only on a subset of the variables. An…

最优化与控制 · 数学 2016-05-04 Sandeep Kumar , Rahul Jain , Ketan Rajawat

The Alternating Direction Method of Multipliers (ADMM) has now days gained tremendous attentions for solving large-scale machine learning and signal processing problems due to the relative simplicity. However, the two-block structure of the…

最优化与控制 · 数学 2020-03-23 Mingxi Zhu , Kresimir Mihic , Yinyu Ye

Alternating Direction Method of Multipliers (ADMM) algorithm has been widely adopted for solving the distributed optimization problem (DOP). In this paper, a new distributed parallel ADMM algorithm is proposed, which allows the agents to…

最优化与控制 · 数学 2021-11-23 Ziye Liu , Fanghong Guo , Wei Wang , Xiaoqun Wu

The parallel alternating direction method of multipliers (ADMM) algorithm is widely recognized for its effectiveness in handling large-scale datasets stored in a distributed manner, making it a popular choice for solving statistical…

机器学习 · 统计学 2023-11-22 Xiaofei Wu , Zhimin Zhang , Zhenyu Cui

Alternating Direction Method of Multipliers (ADMM) has become a widely used optimization method for convex problems, particularly in the context of data mining in which large optimization problems are often encountered. ADMM has several…

机器学习 · 统计学 2019-07-11 Andre Goncalves , Xiaoli Liu , Arindam Banerjee

Alternating Direction Method of Multipliers (ADMM) is a popular convex optimization algorithm, which can be employed for solving distributed consensus optimization problems. In this setting agents locally estimate the optimal solution of an…

信号处理 · 电气工程与系统科学 2019-03-27 Layla Majzoobi , Farshad Lahouti , Vahid Shah-Mansouri

In this paper, we propose a novel distributed algorithm for consensus optimization over networks and a robust extension tailored to deal with asynchronous agents and packet losses. Indeed, to robustly achieve dynamic consensus on the…

最优化与控制 · 数学 2025-09-04 Guido Carnevale , Nicola Bastianello , Giuseppe Notarstefano , Ruggero Carli

The alternating direction method of multipliers (ADMM) has been recognized as a versatile approach for solving modern large-scale machine learning and signal processing problems efficiently. When the data size and/or the problem dimension…

分布式、并行与集群计算 · 计算机科学 2016-05-04 Tsung-Hui Chang , Wei-Cheng Liao , Mingyi Hong , Xiangfeng Wang

We propose new methods to speed up convergence of the Alternating Direction Method of Multipliers (ADMM), a common optimization tool in the context of large scale and distributed learning. The proposed method accelerates the speed of…

机器学习 · 计算机科学 2016-04-05 Changkyu Song , Sejong Yoon , Vladimir Pavlovic

Distributed optimization is often widely attempted and innovated as an attractive and preferred methodology to solve large-scale problems effectively in a localized and coordinated manner. Thus, it is noteworthy that the methodology of…

最优化与控制 · 数学 2021-08-30 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Sunan Huang , Clarence W. de Silva , Tong Heng Lee

In this paper, we consider nonconvex decentralised optimisation and learning over a network of distributed agents. We develop an ADMM algorithm based on the Randomised Block Coordinate Douglas-Rachford splitting method which enables agents…

最优化与控制 · 数学 2025-07-31 Behnam Mafakheri , Jonathan H. Manton , Iman Shames
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