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The alternating direction method of multipliers (ADMM) has recently been recognized as a promising approach for large-scale machine learning models. However, very few results study ADMM from the aspect of communication costs, especially…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-25 Yu Ye , Hao Chen , Zheng Ma , Ming Xiao

The Alternating Direction Method of Multipliers (ADMM) and its distributed version have been widely used in machine learning. In the iterations of ADMM, model updates using local private data and model exchanges among agents impose critical…

Machine Learning · Computer Science 2020-08-12 Jiahao Ding , Jingyi Wang , Guannan Liang , Jinbo Bi , Miao Pan

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

Alternating direction method of multiplier (ADMM) is a popular method used to design distributed versions of a machine learning algorithm, whereby local computations are performed on local data with the output exchanged among neighbors in…

Machine Learning · Computer Science 2018-06-07 Xueru Zhang , Mohammad Mahdi Khalili , Mingyan Liu

Due to massive amounts of data distributed across multiple locations, distributed machine learning has attracted a lot of research interests. Alternating Direction Method of Multipliers (ADMM) is a powerful method of designing distributed…

Machine Learning · Computer Science 2020-12-10 Jiahao Ding , Xiaoqi Qin , Wenjun Xu , Yanmin Gong , Chi Zhang , Miao Pan

In this paper, we study efficient differentially private alternating direction methods of multipliers (ADMM) via gradient perturbation for many machine learning problems. For smooth convex loss functions with (non)-smooth regularization, we…

Machine Learning · Computer Science 2020-11-03 Tao Xu , Fanhua Shang , Yuanyuan Liu , Hongying Liu , Longjie Shen , Maoguo Gong

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

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

Alternating Direction Method of Multipliers (ADMM) is a popular algorithm for distributed learning, where a network of nodes collaboratively solve a regularized empirical risk minimization by iterative local computation associated with…

Machine Learning · Computer Science 2020-05-19 Zonghao Huang , Yanmin Gong

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

In distributed optimization and federated learning, asynchronous alternating direction method of multipliers (ADMM) serves as an attractive option for large-scale optimization, data privacy, straggler nodes and variety of objective…

Machine Learning · Computer Science 2025-08-19 Sagar Shrestha

Privacy preservation is addressed for decentralized optimization, where $N$ agents cooperatively minimize the sum of $N$ convex functions private to these individual agents. In most existing decentralized optimization approaches,…

Optimization and Control · Mathematics 2018-07-03 Chunlei Zhang , Muaz Ahmad , Yongqiang Wang

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…

Optimization and Control · Mathematics 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

Privacy issues and communication cost are both major concerns in distributed optimization. There is often a trade-off between them because the encryption methods required for privacy-preservation often incur expensive communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-01 Qiongxiu Li , Richard Heusdens , Mads Græsbøll Christensen

Privacy-preserving distributed machine learning becomes increasingly important due to the recent rapid growth of data. This paper focuses on a class of regularized empirical risk minimization (ERM) machine learning problems, and develops…

Machine Learning · Computer Science 2016-03-11 Tao Zhang , Quanyan Zhu

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

Systems and Control · Computer Science 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng Wang

We study differentially private (DP) machine learning algorithms as instances of noisy fixed-point iterations, in order to derive privacy and utility results from this well-studied framework. We show that this new perspective recovers…

Machine Learning · Computer Science 2023-07-13 Edwige Cyffers , Aurélien Bellet , Debabrota Basu

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…

Optimization and Control · Mathematics 2025-09-04 Guido Carnevale , Nicola Bastianello , Giuseppe Notarstefano , Ruggero Carli

In this paper, we propose a novel distributed alternating direction method of multipliers (ADMM) algorithm with synergetic communication and computation, called SCCD-ADMM, to reduce the total communication and computation cost of the…

Signal Processing · Electrical Eng. & Systems 2020-09-30 Zhuojun Tian , Zhaoyang Zhang , Jue Wang , Xiaoming Chen , Wei Wang , Huaiyu Dai

Distributed computing has been widely applied in distributed edge networks for reducing the processing burden of high-dimensional data centralization, where a high-dimensional computational task is decomposed into multiple low-dimensional…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-22 Mengchun Xia , Zhicheng Dong , Donghong Cai , Fang Fang , Lisheng Fan , Pingzhi Fan
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