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Alternating Direction Method of Multipliers (ADMM) is a widely used tool for machine learning in distributed settings, where a machine learning model is trained over distributed data sources through an interactive process of local…

Machine Learning · Computer Science 2020-05-19 Zonghao Huang , Rui Hu , Yuanxiong Guo , Eric Chan-Tin , Yanmin Gong

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…

Machine Learning · Computer Science 2016-04-05 Changkyu Song , Sejong Yoon , Vladimir Pavlovic

As a well-known optimization framework, the Alternating Direction Method of Multipliers (ADMM) has achieved tremendous success in many classification and regression applications. Recently, it has attracted the attention of deep learning…

Machine Learning · Computer Science 2021-12-23 Junxiang Wang , Hongyi Li , Liang Zhao

Alternating direction method of multiplier (ADMM) is a powerful method to solve decentralized convex optimization problems. In distributed settings, each node performs computation with its local data and the local results are exchanged…

Cryptography and Security · Computer Science 2018-10-09 Xueru Zhang , Mohammad Mahdi Khalili , Mingyan Liu

In this paper, we review the parallel and distributed optimization algorithms based on alternating direction method of multipliers (ADMM) for solving "big data" optimization problem in smart grid communication networks. We first introduce…

Systems and Control · Computer Science 2015-03-03 Lanchao Liu , Zhu Han

The electrical network reconfiguration problem aims to minimize losses in a distribution system by adjusting switches while ensuring radial topology. The growing use of renewable energy and the complexity of managing modern power grids make…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Yacine Mokhtari , Patrick Coirault , Emmanuel Moulay , Jérôme Le Ny , Didier Larraillet

In this paper, we depart from the widely-used gradient descent-based hierarchical federated learning (FL) algorithms to develop a novel hierarchical FL framework based on the alternating direction method of multipliers (ADMM). Within this…

Machine Learning · Computer Science 2024-09-30 Seyed Mohammad Azimi-Abarghouyi , Nicola Bastianello , Karl H. Johansson , Viktoria Fodor

Cooperative control is crucial for the effective operation of dynamical multi-agent systems. Especially for distributed control schemes, it is essential to exchange data between the agents. This becomes a privacy threat if the data is…

Systems and Control · Electrical Eng. & Systems 2024-12-19 Philipp Binfet , Janis Adamek , Nils Schlüter , Moritz Schulze Darup

By coordinating terminal smart devices or microprocessors to engage in cooperative computation to achieve systemlevel targets, distributed optimization is incrementally favored by both engineering and computer science. The well-known…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-24 Yu Yang , Xiaohong Guan , Qing-Shan Jia , Liang Yu , Bolun Xu , Costas J. Spanos

Alternating direction method of multiplier (ADMM) is a powerful method to solve decentralized convex optimization problems. In distributed settings, each node performs computation with its local data and the local results are exchanged…

Machine Learning · Computer Science 2019-10-11 Xueru Zhang , Mohammad Mahdi Khalili , Mingyan Liu

We consider constraint-coupled optimization problems in which agents of a network aim to cooperatively minimize the sum of local objective functions subject to individual constraints and a common linear coupling constraint. We propose a…

Optimization and Control · Mathematics 2019-07-26 Alessandro Falsone , Ivano Notarnicola , Giuseppe Notarstefano , Maria Prandini

In this paper, we review the parallel and distributed optimization algorithms based on the alternating direction method of multipliers (ADMM) for solving "big data" optimization problems in modern communication networks. We first introduce…

Numerical Analysis · Computer Science 2015-04-09 Lanchao Liu , Zhu Han

In this work, we consider the distributed optimization problem in which each node has its own convex cost function and can communicate directly only with its neighbors, as determined by a directed communication topology (directed graph or…

Optimization and Control · Mathematics 2021-10-07 Wei Jiang , Themistoklis Charalambous

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-04 Tsung-Hui Chang , Mingyi Hong , Wei-Cheng Liao , Xiangfeng Wang

This paper investigates the role of feasible initial guesses and large consensus-violation penalization in distributed optimization for Optimal Power Flow (OPF) problems. Specifically, we discuss the behavior of the Alternating Direction of…

Systems and Control · Computer Science 2019-04-02 Alexander Engelmann , Timm Faulwasser

Federated systems enable collaborative training on highly heterogeneous data through model personalization, which can be facilitated by employing multi-task learning algorithms. However, significant variation in device computing…

The alternating direction method of multipliers (ADMM) is a powerful algorithm for solving decentralized optimization problems including networked microgrid energy management (NetMEM). However, its performance is highly sensitive to the…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Jesus Silva-Rodriguez , Xingpeng Li

As the size of modern data sets exceeds the disk and memory capacities of a single computer, machine learning practitioners have resorted to parallel and distributed computing. Given that optimization is one of the pillars of machine…

Machine Learning · Statistics 2017-04-18 Alexandros Nathan , Diego Klabjan

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…

Optimization and Control · Mathematics 2017-10-26 Junyao Guo , Gabriela Hug , Ozan Tonguz

Distributed optimization has attracted lots of attention in the operation of power systems in recent years, where a large area is decomposed into smaller control regions each solving a local optimization problem with periodic information…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-07 Junyao Guo , Gabriela Hug , Ozan Tonguz