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The recent deployment of distributed battery units in prosumer premises offer new opportunities for providing aggregated flexibility services to both distribution system operators and balance responsible parties. The optimization problem…

We present a flexible Alternating Direction Method of Multipliers (F-ADMM) algorithm for solving optimization problems involving a strongly convex objective function that is separable into $n \geq 2$ blocks, subject to (non-separable)…

最优化与控制 · 数学 2015-03-24 Daniel P. Robinson , Rachael E. H. Tappenden

Differential privacy (DP) techniques can be applied to the federated learning model to protect data privacy against inference attacks to communication among the learning agents. The DP techniques, however, hinder achieving a greater…

机器学习 · 计算机科学 2021-10-08 Minseok Ryu , Kibaek Kim

In this paper, we analyze the convergence of the alternating direction method of multipliers (ADMM) for minimizing a nonconvex and possibly nonsmooth objective function, $\phi(x_0,\ldots,x_p,y)$, subject to coupled linear equality…

最优化与控制 · 数学 2018-05-31 Yu Wang , Wotao Yin , Jinshan Zeng

The alternating direction method of multipliers (ADMM) is a flexible method to solve a large class of convex minimization problems. Particular features are its unconditional convergence with respect to the involved step size and its direct…

数值分析 · 数学 2017-04-21 Sören Bartels , Marijo Milicevic

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…

分布式、并行与集群计算 · 计算机科学 2022-08-24 Yu Yang , Xiaohong Guan , Qing-Shan Jia , Liang Yu , Bolun Xu , Costas J. Spanos

With the proliferation of distributed energy resources and the volume of data stored due to advancement in metering infrastructure, energy management in power system operation needs distributed computing. In this paper, we propose a fully…

系统与控制 · 电气工程与系统科学 2020-05-21 Shailesh Wasti , Pablo Ubiratan , Shahab Afshar , Vahid Disfani

In this work, we study a generic network cost minimization problem, in which every node has a local decision vector to determine. Each node incurs a cost depending on its decision vector and each link also incurs a cost depending on the…

最优化与控制 · 数学 2017-02-27 Xuanyu Cao , K. J. Ray Liu

This paper investigates the vulnerability of the Alternating Direction Method of Multipliers (ADMM) algorithm to shared data manipulation, with a focus on solving optimal power flow (OPF) problems. Deliberate data manipulation may cause the…

系统与控制 · 电气工程与系统科学 2025-11-03 Mohannad Alkhraijah , Rachel Harris , Samuel Litchfield , David Huggins , Daniel K. Molzahn

This paper addresses the problem of nonconvex nonsmooth decentralised optimisation in multi-agent networks with undirected connected communication graphs. Our contribution lies in introducing an algorithmic framework designed for the…

最优化与控制 · 数学 2023-12-08 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

Distributed algorithms enable private Optimal Power Flow (OPF) computations by avoiding the need in sharing sensitive information localized in algorithms sub-problems. However, adversaries can still infer this information from the…

最优化与控制 · 数学 2020-03-23 Vladimir Dvorkin , Pascal Van Hentenryck , Jalal Kazempour , Pierre Pinson

In this paper, we consider solving multiple-block separable convex minimization problems using alternating direction method of multipliers (ADMM). Motivated by the fact that the existing convergence theory for ADMM is mostly limited to the…

最优化与控制 · 数学 2013-08-27 Xiangfeng Wang , Mingyi Hong , Shiqian Ma , Zhi-Quan Luo

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,…

图形学 · 计算机科学 2019-09-04 Juyong Zhang , Yue Peng , Wenqing Ouyang , Bailin Deng

We address distributed learning problems, both nonconvex and convex, over undirected networks. In particular, we design a novel algorithm based on the distributed Alternating Direction Method of Multipliers (ADMM) to address the challenges…

机器学习 · 计算机科学 2026-03-23 Xiaoxing Ren , Nicola Bastianello , Karl H. Johansson , Thomas Parisini

As the modern world becomes increasingly digitized and interconnected, distributed signal processing has proven to be effective in processing its large volume of data. However, a main challenge limiting the broad use of distributed signal…

信号处理 · 电气工程与系统科学 2020-10-23 Qiongxiu Li , Richard Heusdens , Mads Græsbøll Christensen

This paper considers the problem of releasing privacy-preserving load data of a decentralized operated power system. The paper focuses on data used to solve Optimal Power Flow (OPF) problems and proposes a distributed algorithm that…

最优化与控制 · 数学 2020-04-20 Terrence W. K. Mak , Ferdinando Fioretto , Pascal Van Hentenryck

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…

信号处理 · 电气工程与系统科学 2022-08-25 Cristiano Gratton , Naveen K. D. Venkategowda , Reza Arablouei , Stefan Werner

The Alternating Direction Method of Multipliers (ADMM) has been proved to be effective for solving separable convex optimization subject to linear constraints. In this paper, we propose a Generalized Symmetric ADMM (GS-ADMM), which updates…

最优化与控制 · 数学 2018-12-11 Jianchao Bai , Jicheng Li , Fengmin Xu , Hongchao Zhang

The alternating direction method of multipliers (ADMM) proposed by Glowinski and Marrocco is a benchmark algorithm for two-block separable convex optimization problems with linear equality constraints. It has been modified, specified, and…

最优化与控制 · 数学 2021-07-15 Bingsheng He , Shengjie Xu , Xiaoming Yuan

We present a novel framework, namely AADMM, for acceleration of linearized alternating direction method of multipliers (ADMM). The basic idea of AADMM is to incorporate a multi-step acceleration scheme into linearized ADMM. We demonstrate…

最优化与控制 · 数学 2014-02-13 Yuyuan Ouyang , Yunmei Chen , Guanghui Lan , Eduardo Pasiliao