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This paper investigates solving convex composite optimization on an undirected network, where each node, privately endowed with a smooth component function and a nonsmooth one, is required to minimize the sum of all the component functions…

Optimization and Control · Mathematics 2021-08-13 Xuyang Wu , Jie Lu

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…

Optimization and Control · Mathematics 2021-08-30 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Sunan Huang , Clarence W. de Silva , Tong Heng Lee

Latency is inherent in almost all real-world networked applications. In this paper, we propose a distributed allocation strategy over multi-agent networks with delayed communications. The state of each agent (or node) represents its share…

Systems and Control · Electrical Eng. & Systems 2022-08-31 Mohammadreza Doostmohammadian , Wei Jiang , Themistoklis Charalambous

In this paper we demonstrate a novel alternating direction method of multipliers (ADMM) algorithm for the solution of the hybrid vehicle energy management problem considering both power split and engine on/off decisions. The solution of a…

Optimization and Control · Mathematics 2019-05-30 Sebastian East , Mark Cannon

In this paper we propose a distributed implementation of the relaxed Alternating Direction Method of Multipliers algorithm (R-ADMM) for optimization of a separable convex cost function, whose terms are stored by a set of interacting agents,…

Optimization and Control · Mathematics 2024-05-07 Nicola Bastianello , Marco Todescato , Ruggero Carli , Luca Schenato

Distributed cooperative localization in wireless networks is a challenging problem since it typically requires solving a large-scale nonconvex and nonsmooth optimization problem. In this paper, we reformulate the classic cooperative…

Optimization and Control · Mathematics 2023-08-08 Mei Zhang , Zhiguo Wang , Feng Yin , Xiaojing Shen

With the increasing penetration of distributed energy resources, distributed optimization algorithms have attracted significant attention for power systems applications due to their potential for superior scalability, privacy, and…

Systems and Control · Electrical Eng. & Systems 2022-05-09 Sihan Zeng , Alyssa Kody , Youngdae Kim , Kibaek Kim , Daniel K. Molzahn

In this paper we present a convex formulation of the Model Predictive Control (MPC) optimisation for energy management in hybrid electric vehicles, and an Alternating Direction Method of Multipliers (ADMM) algorithm for its solution. We…

Optimization and Control · Mathematics 2019-01-24 Sebastian East , Mark Cannon

This paper proposes a distributed optimization-based algorithm for electric vehicle (EV) charging and discharging, incorporating EV customer economics and distribution network constraints enforced on an unbalanced distribution grid.…

Systems and Control · Electrical Eng. & Systems 2023-10-18 Nanduni Nimalsiri , Elizabeth Ratnam

We formulate an Alternating Direction Method of Mul-tipliers (ADMM) that systematically distributes the computations of any technique for optimizing pairwise functions, including non-submodular potentials. Such discrete functions are very…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Jose Dolz , Ismail Ben Ayed , Christian Desrosiers

In a multi-agent network, we consider the problem of minimizing an objective function that is expressed as the sum of private convex and smooth functions, and a (possibly) non-differentiable convex regularizer. We propose a novel…

Optimization and Control · Mathematics 2021-09-30 Yichuan Li , Nikolaos M. Freris , Petros Voulgaris , Dusan Stipanovic

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

We propose both serial and parallel proximal (linearized) alternating direction method of multipliers (ADMM) algorithms for training residual neural networks. In contrast to backpropagation-based approaches, our methods inherently mitigate…

Machine Learning · Computer Science 2025-04-01 Jintao Xu , Yifei Li , Wenxun Xing

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…

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

Economic dispatch problem for a networked power system has been considered. The objective is to minimize the total generation cost while meeting the overall supply-demand balance and generation capacity. In particular, a more practical…

Systems and Control · Computer Science 2019-05-01 Seungjoon Lee , Hyungbo Shim

Modern power systems integrate renewable distributed energy resources (DERs) as an environment-friendly enhancement to meet the ever-increasing demands. However, the inherent unreliability of renewable energy renders developing DER…

Systems and Control · Electrical Eng. & Systems 2024-05-30 Xiaotong Cheng , Ioannis Tsetis , Setareh Maghsudi

Recently, distributed algorithms for power system state estimation have attracted significant attention. Along with such advantages as decomposition, parallelization of the original problem and absence of a central computation unit,…

Optimization and Control · Mathematics 2020-07-07 Samal Kubentayeva , Elena Gryazina , Sergei Parsegov , Alexander Gasnikov , Federico Ibáñez

This paper investigates distributed resource allocation optimization over directed graphs with limited communication bandwidth. We develop a novel distributed algorithm that integrates the centralized Proximal Jacobian Alternating Direction…

Optimization and Control · Mathematics 2026-04-17 Xu Du , Boyu Han , Ivano Notarnicola , Karl H. Johansson , Apostolos I. Rikos

We propose a regularized saddle-point algorithm for convex networked optimization problems with resource allocation constraints. Standard distributed gradient methods suffer from slow convergence and require excessive communication when…

Systems and Control · Computer Science 2012-08-16 Andrea Simonetto , Tamas Keviczky , Mikael Johansson

This paper considers the low-observability state estimation problem in power distribution networks and develops a decentralized state estimation algorithm leveraging the matrix completion methodology. Matrix completion has been shown to be…

Optimization and Control · Mathematics 2019-10-14 April Sagan , Yajing Liu , Andrey Bernstein
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