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Many modern computer vision and machine learning applications rely on solving difficult optimization problems that involve non-differentiable objective functions and constraints. The alternating direction method of multipliers (ADMM) is a…

Computer Vision and Pattern Recognition · Computer Science 2017-04-11 Zheng Xu , Mario A. T. Figueiredo , Xiaoming Yuan , Christoph Studer , Tom Goldstein

In order to improve the ability of cognitive radar (CR) to adapt to the environment, the required ambiguity function (AF) can be synthesized by designing the waveform. The key to this problem is how to minimize the interference power.…

Signal Processing · Electrical Eng. & Systems 2022-09-09 Haoyu Yi , Xinyu Zhang , Weidong Jiang , Kai Huo

Spatial frequency estimation from a mixture of noisy sinusoids finds applications in various fields. While subspace-based methods offer cost-effective super-resolution parameter estimation, they demand precise array calibration, posing…

Signal Processing · Electrical Eng. & Systems 2024-10-23 Tianyi Liu , Sai Pavan Deram , Khaled Ardah , Martin Haardt , Marc E. Pfetsch , Marius Pesavento

In recent years, considerable attention has been devoted to the regularization models due to the presence of high-dimensional data in scientific research. Sparse support vector machine (SVM) are useful tools in high-dimensional data…

Computation · Statistics 2023-12-27 Jiawei Wen

The alternating direction method with multipliers (ADMM) has been one of most powerful and successful methods for solving various convex or nonconvex composite problems that arise in the fields of image & signal processing and machine…

Optimization and Control · Mathematics 2014-12-08 Fenghui Wang , Zongben Xu , Hong-Kun Xu

Stochastic alternating direction method of multipliers (SADMM) is a popular method for solving nonconvex nonsmooth optimization in various applications. However, it typically requires an empirical selection of the static batch size for…

Optimization and Control · Mathematics 2026-01-23 Jiachen Jin , Kangkang Deng , Boyu Wang , Hongxia Wang

The alternating direction method of multipliers (ADMM) is a popular method for solving convex separable minimization problems with linear equality constraints. The generalization of the two-block ADMM to the three-block ADMM is not trivial…

Optimization and Control · Mathematics 2021-05-10 Yang Yang , Yuchao Tang , Jigen Peng

The paper considers sparse array design for receive beamforming achieving maximum signal-to-interference plus noise ratio (MaxSINR). We develop a design approach based on supervised neural network where class labels are generated using an…

Signal Processing · Electrical Eng. & Systems 2021-08-23 Syed A. Hamza , Moeness G. Amin

We study joint transmit-waveform and receive-filter design for a multi-user downlink integrated sensing and communication (ISAC) system under practical constant-modulus and similarity constraints. We cast the design as a unified…

Signal Processing · Electrical Eng. & Systems 2026-02-18 Ngoc-Son Duong , Huyen-Trang Ta , Quang-Tang Ngo , Thi-Hue Duong , Van-Lap Nguyen , Cong-Minh Nguyen , Minh-Tran Nguyen , Thai-Mai Dinh

Efficient and low-complexity beamforming design is an important element of satellite communication systems with mobile receivers equipped with phased arrays. In this work, we apply the simultaneous perturbation stochastic approximation…

Signal Processing · Electrical Eng. & Systems 2021-04-20 Zheng Chen , Håkan Johansson

In this paper, we design low correlation binary sequences favorable in wireless communication and radar applications. First, we formulate the designing problem as a nonconvex combination optimization problem with flexible correlation…

Signal Processing · Electrical Eng. & Systems 2021-10-07 Jiangtao Wang , Yongchao Wang

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…

Neural and Evolutionary Computing · Computer Science 2017-01-17 Farkhondeh Kiaee , Christian Gagné , Mahdieh Abbasi

We consider the problem of max-min beamforming (MMB) for cell-free massive multi-input multi-output (MIMO) systems, where the objective is to maximize the minimum achievable rate among all users. Existing MMB methods are mainly based on…

Signal Processing · Electrical Eng. & Systems 2025-07-28 Bin Wang , Jun Fang , Yue Xiao , Martin Haardt

In this paper, we develop a symmetric accelerated stochastic Alternating Direction Method of Multipliers (SAS-ADMM) for solving separable convex optimization problems with linear constraints. The objective function is the sum of a possibly…

Optimization and Control · Mathematics 2021-12-21 Jianchao Bai , Deren Han , Hao Sun , Hongchao Zhang

Since space-domain information can be utilized, microphone array beamforming is often used to enhance the quality of the speech by suppressing directional disturbance. However, with the increasing number of microphone, the complexity would…

Sound · Computer Science 2020-05-20 Lu Ma , Xin Zhao , Pei Zhao , Tengrong Su

We present a stochastic setting for optimization problems with nonsmooth convex separable objective functions over linear equality constraints. To solve such problems, we propose a stochastic Alternating Direction Method of Multipliers…

Machine Learning · Computer Science 2013-01-23 Hua Ouyang , Niao He , Alexander Gray

NLP(natural language processsing) has achieved great success through the transformer model.However, the model has hundreds of millions or billions parameters,which is huge burden for its deployment on personal computer or small scale of…

Information Retrieval · Computer Science 2024-08-26 TianChen Wang

Spectral Clustering (SC) is a widely used data clustering method which first learns a low-dimensional embedding $U$ of data by computing the eigenvectors of the normalized Laplacian matrix, and then performs k-means on $U^\top$ to get the…

Machine Learning · Computer Science 2017-12-11 Canyi Lu , Jiashi Feng , Zhouchen Lin , Shuicheng Yan

The present study proposes a sensor selection method based on the proximal splitting algorithm and the A-optimal design of experiment using the alternating direction method of multipliers (ADMM) algorithm. The performance of the proposed…

Systems and Control · Electrical Eng. & Systems 2021-07-13 Takayuki Nagata , Taku Nonomura , Kumi Nakai , Keigo Yamada , Yuji Saito , Shunsuke Ono

The generalized alternating direction method of multipliers (ADMM) of Xiao et al. [{\tt Math. Prog. Comput., 2018}] aims at the two-block linearly constrained composite convex programming problem, in which each block is in the form of…

Optimization and Control · Mathematics 2022-04-05 Hongwu Li , Haibin Zhang , Yunhai Xiao