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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…

最优化与控制 · 数学 2021-08-30 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Sunan Huang , Clarence W. de Silva , Tong Heng Lee

In this paper, we study a dynamic version of the sharing problem, in which a dynamic system cost function composed of time-variant local costs of subsystems and a shared time-variant cost of the whole system is minimized. A dynamic…

最优化与控制 · 数学 2017-03-16 Xuanyu Cao , K. J. Ray Liu

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

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…

系统与控制 · 电气工程与系统科学 2025-08-12 Yacine Mokhtari , Patrick Coirault , Emmanuel Moulay , Jérôme Le Ny , Didier Larraillet

In this paper, we consider nonconvex decentralised optimisation and learning over a network of distributed agents. We develop an ADMM algorithm based on the Randomised Block Coordinate Douglas-Rachford splitting method which enables agents…

最优化与控制 · 数学 2025-07-31 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

In this paper, we propose a faster stochastic alternating direction method of multipliers (ADMM) for nonconvex optimization by using a new stochastic path-integrated differential estimator (SPIDER), called as SPIDER-ADMM. Moreover, we prove…

最优化与控制 · 数学 2020-08-12 Feihu Huang , Songcan Chen , Heng Huang

We consider the problem of sensor selection for designing observer and filter for continuous linear time invariant systems such that the sensor precisions are minimized, and the estimation errors are bounded by the prescribed…

系统与控制 · 电气工程与系统科学 2021-04-08 Vedang M. Deshpande , Raktim Bhattacharya

In this work, we consider the asynchronous 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…

最优化与控制 · 数学 2021-04-27 Wei Jiang , Andreas Grammenos , Evangelia Kalyvianaki , Themistoklis Charalambous

The classic Alternating Direction Method of Multipliers (ADMM) is a popular framework to solve linear-equality constrained problems. In this paper, we extend the ADMM naturally to nonlinear equality-constrained problems, called neADMM. The…

最优化与控制 · 数学 2021-03-17 Junxiang Wang , Liang Zhao

To reduce complexity and achieve scalable performance in high-dimensional black-box settings, we propose a distributed method for nonconvex derivative-free optimization of continuous variables with an additively separable objective, subject…

最优化与控制 · 数学 2025-11-03 Damilola Fasiku , Wentao Tang

An alternating direction method of multipliers (ADMM) framework is developed for nonsmooth biconvex optimization for inverse problems in imaging. In particular, the simultaneous estimation of activity and attenuation (SAA) problem in…

医学物理 · 物理学 2024-02-13 Zhimei Ren , Emil Y. Sidky , Rina Foygel Barber , Chien-Min Kao , Xiaochuan Pan

In this paper, we focus on an asynchronous distributed optimization problem. In our problem, each node is endowed with a convex local cost function, and is able to communicate with its neighbors over a directed communication network.…

最优化与控制 · 数学 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

We propose a new method for computing Dynamic Mode Decomposition (DMD) evolution matrices, which we use to analyze dynamical systems. Unlike the majority of existing methods, our approach is based on a variational formulation consisting of…

数值分析 · 数学 2019-05-24 Omri Azencot , Wotao Yin , Andrea Bertozzi

The 0/1 D-optimality problem and the Maximum-Entropy Sampling problem are two well-known NP-hard discrete maximization problems in experimental design. Algorithms for exact optimization (of moderate-sized instances) are based on…

最优化与控制 · 数学 2025-03-26 Gabriel Ponte , Marcia Fampa , Jon Lee , Luze Xu

Trajectory optimization is becoming increasingly powerful in addressing motion planning problems of underactuated robotic systems. Numerous prior studies solve such a class of large non-convex optimal control problems in a hierarchical…

机器人学 · 计算机科学 2020-03-19 Ziyi Zhou , Ye Zhao

ADMM is a popular algorithm for solving convex optimization problems. Applying this algorithm to distributed consensus optimization problem results in a fully distributed iterative solution which relies on processing at the nodes and…

分布式、并行与集群计算 · 计算机科学 2017-01-17 Layla Majzoobi , Farshad Lahouti

This paper proposes a proximal variant of the alternating direction method of multipliers (ADMM) for distributed optimization. Although the current versions of ADMM algorithm provide promising numerical results in producing solutions that…

最优化与控制 · 数学 2023-09-01 Reza Mirzaeifard , Naveen K. D. Venkategowda , Alexander Jung , Stefan Werner

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…

分布式、并行与集群计算 · 计算机科学 2016-05-04 Tsung-Hui Chang , Wei-Cheng Liao , Mingyi Hong , Xiangfeng Wang

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…

最优化与控制 · 数学 2022-03-16 Stuart M. Harwood

Passive radar systems can detect and track the moving targets of interest by exploiting non-cooperative illuminators-of-opportunity to transmit orthogonal frequency division multiplexing (OFDM) signals. These targets are searched using a…

最优化与控制 · 数学 2023-02-21 Mengjiao Shi , Yunhai Xiao , Peili Li