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Related papers: Sparse Array Beamformer Design via ADMM

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This paper studies hybrid beamforming for active sensing applications, such as millimeter-wave or ultrasound imaging. Hybrid beamforming can substantially lower the cost and power consumption of fully digital sensor arrays by reducing the…

Signal Processing · Electrical Eng. & Systems 2020-12-30 Robin Rajamäki , Sundeep Prabhakar Chepuri , Visa Koivunen

Magnetic Resonance Imaging (MRI) is a kind of medical imaging technology used for diagnostic imaging of diseases, but its image quality may be suffered by the long acquisition time. The compressive sensing (CS) based strategy may decrease…

Optimization and Control · Mathematics 2021-11-25 Yanyun Ding , Peili Li , Yunhai Xiao , Haibin Zhang

Alternating Direction Method of Multipliers (ADMM) is a popular method for solving large-scale Machine Learning problems. Stochastic ADMM was proposed to reduce the per iteration computational complexity, which is more suitable for big data…

Numerical Analysis · Computer Science 2023-04-25 Chao Zhang , Zebang Shen , Hui Qian , Tengfei Zhou , Jianya Zhou , Jianying Zhou

The alternating direction method of multipliers (ADMM) is a powerful splitting algorithm for linearly constrained convex optimization problems. In view of its popularity and applicability, a growing attention is drawn towards the ADMM in…

Optimization and Control · Mathematics 2022-08-19 Sedi Bartz , Rubén Campoy , Hung M. Phan

We present a systematic weight pruning framework of deep neural networks (DNNs) using the alternating direction method of multipliers (ADMM). We first formulate the weight pruning problem of DNNs as a constrained nonconvex optimization…

Machine Learning · Computer Science 2018-04-24 Tianyun Zhang , Shaokai Ye , Yipeng Zhang , Yanzhi Wang , Makan Fardad

Alternating direction method of multipliers (ADMM) is a popular first-order method owing to its simplicity and efficiency. However, similar to other proximal splitting methods, the performance of ADMM degrades significantly when the scale…

Optimization and Control · Mathematics 2021-08-11 Fengmiao Bian , Jingwei Liang , Xiaoqun Zhang

The problem of sparse array design for dual-function radar-communications is investigated. Our goal is to design a sparse array which can simultaneously shape desired beam responses and serve multiple downlink users with the required…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Huiping Huang , Linlong Wu , Bhavani Shankar , Abdelhak M. Zoubir

We propose an alternating direction method of multipliers (ADMM) to solve an optimization problem stemming from inverse lithography. The objective functional of the optimization problem includes three terms: the misfit between the imaging…

Numerical Analysis · Mathematics 2026-04-21 Junqing Chen , Haibo Liu

We introduce a new algorithm, called adaptive sparse backfitting algorithm, for solving high dimensional Sparse Additive Model (SpAM) utilizing symmetric, non-negative definite smoothers. Unlike the previous sparse backfitting algorithm,…

Machine Learning · Statistics 2014-11-13 Yan Li

The alternating direction method of multipliers (ADMM) is a widely used method for solving many convex minimization models arising in signal and image processing. In this paper, we propose an inertial ADMM for solving a two-block separable…

Optimization and Control · Mathematics 2021-04-02 Yang Yang , Yuchao Tang

In this paper, we consider waveform design for dualfunction radar-communication systems based on multiple-inputmultiple-out arrays. To achieve better Rician target detection performance, we use the relative entropy associated with the…

Information Theory · Computer Science 2023-04-06 Xuyang Wang , Bo Tang , Wenjun Wu , Da Li

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…

Optimization and Control · Mathematics 2022-03-04 Dinesh Krishnamoorthy , Vyacheslav Kungurtsev

The robust adaptive beamforming design problem based on estimation of the signal of interest steering vector is considered in the paper. In this case, the optimal beamformer is obtained by computing the sample matrix inverse and an optimal…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Yongwei Huang , Mingkang Zhou , Sergiy A. Vorobyov

The alternating direction method of multipliers (ADMM) is widely used to solve large-scale linearly constrained optimization problems, convex or nonconvex, in many engineering fields. However there is a general lack of theoretical…

Optimization and Control · Mathematics 2015-12-01 Mingyi Hong , Zhi-Quan Luo , Meisam Razaviyayn

The alternating direction method of multipliers (ADMM) has been popular for solving many signal processing problems, convex or nonconvex. In this paper, we study an asynchronous implementation of the ADMM for solving a nonconvex nonsmooth…

Information Theory · Computer Science 2014-12-19 Mingyi Hong

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…

Optimization and Control · Mathematics 2026-03-10 Yacine Mokhtari

Nonconvex and structured optimization problems arise in many engineering applications that demand scalable and distributed solution methods. The study of the convergence properties of these methods is in general difficult due to the…

Optimization and Control · Mathematics 2015-05-04 Sindri Magnússon , Pradeep Chathuranga Weeraddana , Michael G. Rabbat , Carlo Fischione

Many information systems employ lossy compression as a crucial intermediate stage among other processing components. While the important distortion is defined by the system's input and output signals, the compression usually ignores the…

Information Theory · Computer Science 2018-05-14 Yehuda Dar , Michael Elad , Alfred M. Bruckstein

Minimizing sum of two functions under a linear constraint is what we called splitting problem. This convex optimization has wide applications in machine learning problems, such as Lasso, Group Lasso and Sparse logistic regression. A recent…

Computation · Statistics 2017-11-20 Sen Na , Cho-Jui Hsieh

In this paper, we aim at maximizing the weighted sum-rate (WSR) of rate splitting multiple access (RSMA) in multi-user multi-antenna transmission networks through the joint optimization of rate allocation and beamforming. Unlike…

Information Theory · Computer Science 2023-12-27 Tianyu Fang , Yijie Mao