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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

Algebraic multigrid (AMG) is a widely used scalable solver and preconditioner for large-scale linear systems resulting from the discretization of a wide class of elliptic PDEs. While AMG has optimal computational complexity, the cost of…

Mathematical Software · Computer Science 2020-01-22 Wayne B. Mitchell , Robert Strzodka , Robert D. Falgout

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…

Signal Processing · Electrical Eng. & Systems 2022-08-25 Cristiano Gratton , Naveen K. D. Venkategowda , Reza Arablouei , Stefan Werner

The Alternating Direction Method of Multipliers (ADMM) has been studied for years. The traditional ADMM algorithm needs to compute, at each iteration, an (empirical) expected loss function on all training examples, resulting in a…

Machine Learning · Statistics 2014-06-10 Peilin Zhao , Jinwei Yang , Tong Zhang , Ping Li

This paper introduces an efficient method for communication resource use in dense wireless areas where all nodes must communicate with a common destination node. The proposed method groups nodes based on their \newt{distance from the…

Systems and Control · Electrical Eng. & Systems 2022-02-14 Haleh Tabrizi , Borja Peleato , Golnaz Farhadi , John M. Cioffi , Ghadah Aldabbagh

This paper studies a proximal alternating direction method of multipliers (ADMM) with variable metric indefinite proximal terms for linearly constrained convex optimization problems. The proximal ADMM plays an important role in many…

Optimization and Control · Mathematics 2019-07-01 Yan Gu , Nobuo Yamashita

This work investigates the theoretical performance of the alternating-direction method of multipliers (ADMM) as it applies to nonconvex optimization problems, and in particular, problems with nonconvex constraint sets. The alternating…

Optimization and Control · Mathematics 2022-03-16 Stuart M. Harwood

We propose a new stochastic dual coordinate ascent technique that can be applied to a wide range of regularized learning problems. Our method is based on Alternating Direction Multiplier Method (ADMM) to deal with complex regularization…

Machine Learning · Statistics 2013-11-05 Taiji Suzuki

This paper proposes a parallel optimization algorithm for cooperative automation of large-scale connected vehicles. The task of cooperative automation is formulated as a centralized optimization problem taking the whole decision space of…

Systems and Control · Computer Science 2018-08-01 Zhitao Wang , Yang Zheng , Shengbo Eben Li , Keyou You , Keqiang Li

The alternating direction method of multipliers (ADMM) is a popular approach for solving optimization problems that are potentially non-smooth and with hard constraints. It has been applied to various computer graphics applications,…

Graphics · Computer Science 2019-09-04 Juyong Zhang , Yue Peng , Wenqing Ouyang , Bailin Deng

Tensor factorization has proven useful in a wide range of applications, from sensor array processing to communications, speech and audio signal processing, and machine learning. With few recent exceptions, all tensor factorization…

Numerical Analysis · Computer Science 2015-10-28 Athanasios P. Liavas , Nicholas D. Sidiropoulos

Community battery systems have been widely deployed to provide services to the grid. Unlike a single battery storage system in the community, coordinating multiple community batteries can further unlock their value, enhancing the viability…

Systems and Control · Electrical Eng. & Systems 2024-03-21 Canchen Jiang , Hao Wang

From a dual perspective of the sparse representation model, Nam et al. proposed the cosparse analysis model. In this paper, we aim to investigate the convergence of the alternating direction method of multipliers (ADMM) for the cosparse…

Optimization and Control · Mathematics 2023-11-23 Zisheng Liu , Ting Zhang

In modern large-scale networked systems, rapidly solving optimization problems while utilizing communication resources efficiently is critical for addressing complex tasks. In this paper, we consider an unconstrained distributed…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Ruochen Wu , Xu Du , Karl H. Johansson , Apostolos I. Rikos

Large-scale multi-input multi-output (MIMO) code domain non-orthogonal multiple access (CD-NOMA) techniques are one of the potential candidates to address the next-generation wireless needs such as massive connectivity, and high…

Information Theory · Computer Science 2023-06-06 Vinjamoori Vikas , Kuntal Deka , Sanjeev Sharma , A. Rajesh

An alternating direction method of multipliers (ADMM) solver is described for optimal resource allocation problems with separable convex quadratic costs and constraints and linear coupling constraints. We describe a parallel implementation…

Optimization and Control · Mathematics 2019-07-09 Zawar Qureshi , Sebastian East , Mark Cannon

Distributed optimization offers a promising paradigm for trajectory planning in Unmanned Aerial Vehicle (UAV) swarms, yet its deployment in communication-constrained environments remains challenging due to unreliable links and limited data…

Robotics · Computer Science 2025-11-20 Yue Yu , Xiaobo Zheng , Shaoming He

This paper addresses a multi-stage generation investment problem for a strategic (price-maker) power producer in electricity markets. This problem is exposed to different sources of uncertainty, including short-term operational (e.g.,…

Optimization and Control · Mathematics 2018-10-31 Vladimir Dvorkin , Jalal Kazempour , Luis Baringo , Pierre Pinson

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

In this paper, the alternating direction method of multipliers (ADMM) is investigated for distributed optimization problems in a networked multi-agent system. In particular, a new adaptive-gain ADMM algorithm is derived in a closed form and…

Systems and Control · Electrical Eng. & Systems 2020-02-26 Towfiq Rahman , Zhihua Qu , Toru Namerikawa
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