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We analyze the convergence rate of the alternating direction method of multipliers (ADMM) for minimizing the sum of two or more nonsmooth convex separable functions subject to linear constraints. Previous analysis of the ADMM typically…

最优化与控制 · 数学 2013-03-27 Mingyi Hong , Zhi-Quan Luo

Thanks to its versatility, its simplicity, and its fast convergence, ADMM is among the most widely used approaches for solving a convex problem in distributed form. However, making it running efficiently is an art that requires a fine…

最优化与控制 · 数学 2019-07-10 Tomaso Erseghe

In this paper, multi-stream transmission in interference networks aided by multiple amplify-and-forward (AF) relays in the presence of direct links is considered. The objective is to minimize the sum power of transmitters and relays by…

信号处理 · 电气工程与系统科学 2018-12-31 Cenk M. Yetis , Ronald Y. Chang

Decision making and learning in the presence of uncertainty has attracted significant attention in view of the increasing need to achieve robust and reliable operations. In the case where uncertainty stems from the presence of adversarial…

机器学习 · 计算机科学 2024-03-25 André Bertolace , Konstatinos Gatsis , Kostas Margellos

The alternating direction method of multipliers (ADMM) algorithm is a powerful and flexible tool for complex optimization problems of the form $\min\{f(x)+g(y) : Ax+By=c\}$. ADMM exhibits robust empirical performance across a range of…

最优化与控制 · 数学 2024-02-08 Rina Foygel Barber , Emil Y. Sidky

In this paper, we investigate the design of statistically robust detectors for multi-input multi-output (MIMO) systems subject to imperfect channel state information (CSI). A robust maximum likelihood (ML) detection problem is formulated by…

信号处理 · 电气工程与系统科学 2023-07-25 Yi Sun , Hong Shen , Wei Xu , Nan Hu , Chunming Zhao

This paper presents a novel array response control algorithm and its application to array pattern synthesis. The proposed algorithm considers how to flexibly and precisely adjust the array responses at multiple points, on the basis of one…

信号处理 · 电气工程与系统科学 2018-01-31 Xuejing Zhang , Zishu He , Bin Liao , Xuepan Zhang , Weilai Peng

This paper considers a class of structured fractional minimization problems. The numerator consists of a differentiable function, a simple nonconvex nonsmooth function, a concave nonsmooth function, and a convex nonsmooth function composed…

最优化与控制 · 数学 2025-04-01 Ganzhao Yuan

Convolutional sparse coding improves on the standard sparse approximation by incorporating a global shift-invariant model. The most efficient convolutional sparse coding methods are based on the alternating direction method of multipliers…

机器学习 · 计算机科学 2022-02-09 Farshad G. Veshki , Sergiy A. Vorobyov

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

We present a robust adaptive beamforming algorithm based on the worst-case criterion and the constrained constant modulus approach, which exploits the constant modulus property of the desired signal. Similarly to the existing worst-case…

信息论 · 计算机科学 2013-10-02 L. Landau , R. C. de Lamare , M. Haardt

This note serves two purposes. Firstly, we construct a counterexample to show that the statement on the convergence of the alternating direction method of multipliers (ADMM) for solving linearly constrained convex optimization problems in a…

最优化与控制 · 数学 2020-06-09 Liang Chen , Defeng Sun , Kim-Chuan Toh

The alternating direction method of multipliers (ADMM) were extensively investigated in the past decades for solving separable convex optimization problems. Fewer researchers focused on exploring its convergence properties for the nonconvex…

数值分析 · 数学 2019-07-02 Jianchao Bai , Junli Liang , Ke Guo , Yang Jing

The storage and computation requirements of Convolutional Neural Networks (CNNs) can be prohibitive for exploiting these models over low-power or embedded devices. This paper reduces the computational complexity of the CNNs by minimizing an…

神经与进化计算 · 计算机科学 2017-01-17 Farkhondeh Kiaee , Christian Gagné , Mahdieh Abbasi

This paper considers the problem of distributed model fitting using the alternating directions method of multipliers (ADMM). ADMM splits the learning problem into several smaller subproblems, usually by partitioning the data samples. The…

最优化与控制 · 数学 2022-03-04 Dinesh Krishnamoorthy , Vyacheslav Kungurtsev

We propose a novel sensing approach for the beam alignment problem in millimeter wave systems using a single Radio Frequency (RF) chain. Conventionally, beam alignment using a single phased array involves comparing beamformer output power…

信号处理 · 电气工程与系统科学 2024-04-12 Rohan R. Pote , Bhaskar D. Rao

The robust adaptive beamforming (RAB) problem is considered via the worst-case signal-to-interference-plus-noise ratio (SINR) maximization over distributional uncertainty sets for the random interference-plus-noise covariance (INC) matrix…

信号处理 · 电气工程与系统科学 2021-10-19 Yongwei Huang , Wenzheng Yang , Sergiy A. Vorobyov

This paper introduces the Bi-linear consensus Alternating Direction Method of Multipliers (Bi-cADMM), aimed at solving large-scale regularized Sparse Machine Learning (SML) problems defined over a network of computational nodes.…

机器学习 · 计算机科学 2024-06-27 Alireza Olama , Andreas Lundell , Jan Kronqvist , Elham Ahmadi , Eduardo Camponogara

This paper presents centralized and distributed Alternating Direction Method of Multipliers (ADMM) frameworks for solving large-scale nonconvex optimization problems with binary decision variables subject to spanning tree or rooted…

最优化与控制 · 数学 2026-03-10 Yacine Mokhtari

In this paper, we establish the convergence of the proximal alternating direction method of multipliers (ADMM) and block coordinate descent (BCD) for nonseparable minimization models with quadratic coupling terms. The novel convergence…

最优化与控制 · 数学 2017-03-16 Caihua Chen , Min Li , Xin Liu , Yinyu Ye