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Proximal splitting-based convex optimization is a promising approach to linear inverse problems because we can use some prior knowledge of the unknown variables explicitly. An understanding of the behavior of the optimization algorithms…

Signal Processing · Electrical Eng. & Systems 2025-06-06 Ryo Hayakawa

Massive multiple-input multiple-output (MIMO) precoders are typically designed by minimizing the transmit power subject to a quality-of-service (QoS) constraint. However, current sustainability goals incentivize more energy-efficient…

Signal Processing · Electrical Eng. & Systems 2023-08-28 Thomas Feys , Xavier Mestre , Emanuele Peschiera , François Rottenberg

Proximal operators are ubiquitous in inverse problems, commonly appearing as part of algorithmic strategies to regularize problems that are otherwise ill-posed. Modern deep learning models have been brought to bear for these tasks too, as…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Zhenghan Fang , Sam Buchanan , Jeremias Sulam

The proximal gradient algorithm has been popularly used for convex optimization. Recently, it has also been extended for nonconvex problems, and the current state-of-the-art is the nonmonotone accelerated proximal gradient algorithm.…

Optimization and Control · Mathematics 2017-05-24 Quanming Yao , James T. Kwok , Fei Gao , Wei Chen , Tie-Yan Liu

We propose a novel soft-output joint channel estimation and data detection (JED) algorithm for multiuser (MU) multiple-input multiple-output (MIMO) wireless communication systems. Our algorithm approximately solves a maximum a-posteriori…

Information Theory · Computer Science 2021-12-02 Haochuan Song , Xiaohu You , Chuan Zhang , Christoph Studer

We propose a new optimization method for training feed-forward neural networks. By rewriting the activation function as an equivalent proximal operator, we approximate a feed-forward neural network by adding the proximal operators to the…

Machine Learning · Computer Science 2018-11-06 Jia Li , Cong Fang , Zhouchen Lin

Structured convex optimization problems typically involve a mix of smooth and nonsmooth functions. The common practice is to activate the smooth functions via their gradient and the nonsmooth ones via their proximity operator. We show that,…

Optimization and Control · Mathematics 2019-09-11 Patrick L. Combettes , Lilian E. Glaudin

Proximal methods are known to identify the underlying substructure of nonsmooth optimization problems. Even more, in many interesting situations, the output of a proximity operator comes with its structure at no additional cost, and…

Optimization and Control · Mathematics 2023-02-10 Gilles Bareilles , Franck Iutzeler , Jérôme Malick

This paper aims to investigate the distributed stochastic optimization problems on compact embedded submanifolds (in the Euclidean space) for multi-agent network systems. To address the manifold structure, we propose a distributed…

Optimization and Control · Mathematics 2025-10-28 Jishu Zhao , Xi Wang , Jinlong Lei , Shixiang Chen

In this paper, utilizing techniques in compressed sensing, parallel optimization and deep learning, we propose a model-driven approach to jointly design the common measurement matrix and GROUP LASSO-based jointly sparse signal recovery…

Information Theory · Computer Science 2020-02-10 Shuaichao Li , Wanqing Zhang , Ying Cui

This paper addresses a distributed optimization problem in a communication network where nodes are active sporadically. Each active node applies some learning method to control its action to maximize the global utility function, which is…

Optimization and Control · Mathematics 2021-04-20 Wenjie Li , Mohamad Assaad , Shiqi Zheng

Recently, grant-free transmission paradigm has been introduced for massive Internet of Things (IoT) networks to save both time and bandwidth and transmit the message with low latency. In order to accurately decode the message of each device…

Signal Processing · Electrical Eng. & Systems 2023-01-04 Mehrtash Mehrabi , Mostafa Mohammadkarimi , Masoud Ardakani

Decentralized optimization is a promising parallel computation paradigm for large-scale data analytics and machine learning problems defined over a network of nodes. This paper is concerned with decentralized non-convex composite problems…

Optimization and Control · Mathematics 2021-10-05 Ran Xin , Subhro Das , Usman A. Khan , Soummya Kar

Recently, deep learning techniques have been extensively studied for pansharpening, which aims to generate a high resolution multispectral (HRMS) image by fusing a low resolution multispectral (LRMS) image with a high resolution…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Xiangyong Cao , Yang Chen , Wenfei Cao

In this paper, we study the problem of resource allocation as well as pricing in the context of Internet of things (IoT) networks. We provide a novel pricing model for IoT services where all the parties involved in the communication…

Information Theory · Computer Science 2019-03-08 Mohammad Moltafet , Atefeh Rezaei , Nader Mokari , Mohammad Reza Javan , Hamid Saeedi , Hossein Pishro Nik

Low-rank modeling has many important applications in computer vision and machine learning. While the matrix rank is often approximated by the convex nuclear norm, the use of nonconvex low-rank regularizers has demonstrated better empirical…

Machine Learning · Computer Science 2018-07-25 Quanming Yao , James T. Kwok , Taifeng Wang , Tie-Yan Liu

Internet of Things (IoT) has triggered a rapid increase in the number of connected devices and new use cases of wireless communications. To meet the new demands, the fifth generation (5G) of wireless communication systems features native…

Signal Processing · Electrical Eng. & Systems 2021-05-28 Leatile Marata , Onel Luis Alcaraz López , Eduardo Noboro Tominaga , Hirley Alves

In many statistical learning problems, it is desired that the optimal solution conforms to an a priori known sparsity structure represented by a directed acyclic graph. Inducing such structures by means of convex regularizers requires…

Optimization and Control · Mathematics 2020-10-20 Dewei Zhang , Yin Liu , Sam Davanloo Tajbakhsh

A great amount of endeavour has recently been devoted to the joint device activity detection and channel estimation problem in massive machine-type communications. This paper targets at two practical issues along this line that have not…

Signal Processing · Electrical Eng. & Systems 2021-02-04 Liang Liu , Ya-Feng Liu

Approximate Bayesian deep learning methods hold significant promise for addressing several issues that occur when deploying deep learning components in intelligent systems, including mitigating the occurrence of over-confident errors and…

Machine Learning · Computer Science 2021-12-06 Meet P. Vadera , Benjamin M. Marlin