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In this paper we present a variant of the proximal forward-backward splitting iteration for solving nonsmooth optimization problems in Hilbert spaces, when the objective function is the sum of two nondifferentiable convex functions. The…

Optimization and Control · Mathematics 2016-01-13 Jose Yunier Bello Cruz

Several fundamental problems that arise in optimization and computer science can be cast as follows: Given vectors $v_1,\ldots,v_m \in \mathbb{R}^d$ and a constraint family ${\cal B}\subseteq 2^{[m]}$, find a set $S \in \cal{B}$ that…

Data Structures and Algorithms · Computer Science 2018-07-24 Javad B. Ebrahimi , Damian Straszak , Nisheeth K. Vishnoi

The demand for providing multicast services in cellular networks is continuously and fastly increasing. In this work, we propose a non-orthogonal transmission framework based on layered-division multiplexing (LDM) to support multicast and…

Information Theory · Computer Science 2018-07-17 Erkai Chen , Meixia Tao , Ya-Feng Liu

Novel sparse reconstruction algorithms are proposed for beamspace channel estimation in massive multiple-input multiple-output systems. The proposed algorithms minimize a least-squares objective having a nonconvex regularizer. This…

Information Theory · Computer Science 2021-12-02 Pengxia Wu , Julian Cheng

The aim of this paper is to solve linear semidefinite programs arising from higher-order Lasserre relaxations of unconstrained binary quadratic optimization problems. For this we use an interior point method with a preconditioned conjugate…

Optimization and Control · Mathematics 2024-12-30 Soodeh Habibi , Michal Kocvara , Michael Stingl

In this paper, the problem of maximizing the sum of data rates of all users in an intelligent reflecting surface (IRS)-assisted millimeter wave multicast multiple-input multiple-output communication system is studied. In the considered…

Signal Processing · Electrical Eng. & Systems 2022-08-16 Songling Zhang , Zhaohui Yang , Mingzhe Chen , Danpu Liu , Kai-Kit Wong , H. Vincent Poor

In this paper, we propose beamforming schemes to simultaneously transmit data securely to multiple information receivers (IRs) while transferring power wirelessly to multiple energy-harvesting receivers (ERs). Taking into account the…

Information Theory · Computer Science 2017-05-19 Tuan Anh Le , Quoc-Tuan Vien , Huan X. Nguyen , Derrick Wing Kwan Ng , Robert Schober

Consider convex optimization problems subject to a large number of constraints. We focus on stochastic problems in which the objective takes the form of expected values and the feasible set is the intersection of a large number of convex…

Machine Learning · Statistics 2015-11-13 Mengdi Wang , Yichen Chen , Jialin Liu , Yuantao Gu

This paper considers distributed linear beamforming in downlink multicell multiuser orthogonal frequency-division multiple access networks. A fast convergent solution maximizing the weighted sum- rate with per base station (BS) transmiting…

Information Theory · Computer Science 2017-08-16 Mirza Golam Kibria , Hidekazu Murata , Jun Zheng

The advancement of wireless communication systems toward 5G and beyond is spurred by the demand for high data rates, exceedingly dependable low-latency communication, and extensive connectivity that aligns with sensing requisites such as…

Information Theory · Computer Science 2024-04-10 Mamady Delamou , El Mehdi Amhoud

In this paper, we study a secure integrated sensing and communication (ISAC) system where one multi-antenna base station (BS) simultaneously communicates with one single-antenna user and senses the location parameter of a target which…

Information Theory · Computer Science 2023-12-22 Kaiyue Hou , Shuowen Zhang

In this paper, we study a solution approach for set optimization problems with respect to the lower set less relation. This approach can serve as a base for numerically solving set optimization problems by using established solvers from…

Optimization and Control · Mathematics 2021-07-27 Gabriele Eichfelder , Ernest Quintana , Stefan Rocktäschel

In this letter, we consider optimal hybrid beamforming design to minimize the transmission power under individual signal-to-interference-plus-noise ratio (SINR) constraints in a multiuser massive multiple-input-multiple-output (MIMO)…

Signal Processing · Electrical Eng. & Systems 2018-11-27 Guangda Zang , Ying Cui , Hei Victor Cheng , Feng Yang , Lianghui Ding , Hui Liu

We consider the problem of coordinated multi- cell downlink beamforming in massive multiple input multiple output (MIMO) systems consisting of N cells, Nt antennas per base station (BS) and K user terminals (UTs) per cell. Specifically, we…

Information Theory · Computer Science 2015-04-09 Subhash Lakshminarayana , Mohamad Assaad , Merouane Debbah

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…

Signal Processing · Electrical Eng. & Systems 2018-12-31 Cenk M. Yetis , Ronald Y. Chang

We consider the problem of approximating the reachable set of a discrete-time polynomial system from a semialgebraic set of initial conditions under general semialgebraic set constraints. Assuming inclusion in a given simple set like a box…

Optimization and Control · Mathematics 2019-06-06 Victor Magron , Pierre-Loic Garoche , Didier Henrion , Xavier Thirioux

Motivated by applications in wireless communications, this paper develops semidefinite programming (SDP) relaxation techniques for some mixed binary quadratically constrained quadratic programs (MBQCQP) and analyzes their approximation…

Optimization and Control · Mathematics 2014-03-18 Zi Xu , Mingyi Hong , Zhi-Quan Luo

Convex relaxation methods are powerful tools for studying the lowest energy of many-body problems. By relaxing the representability conditions for marginals to a set of local constraints, along with a global semidefinite constraint, a…

Optimization and Control · Mathematics 2025-07-15 Yi Wang , Rizheng Huang , Yuehaw Khoo

This study investigates subarray-level movable antenna (MA) architecture for multi-user MIMO (MU-MIMO) systems. Unlike conventional systems with fixed-position antennas (FPAs), the proposed scheme harnesses the additional positional degrees…

Signal Processing · Electrical Eng. & Systems 2026-04-22 Shanshan Zhang , Songjie Yang , Wenxuan Zhang , Youzhi Xiong , Siya Yao

Rotatable antenna (RA) provides additional spatial degrees of freedom (DoFs) for communication systems by enabling per-antenna dynamic boresight adjustment, which is attractive for fairness-oriented multicast transmission. This letter…

Information Theory · Computer Science 2026-03-30 Weihua Zhu , Beixiong Zheng , Lipeng Zhu , Jie Tang , Yong Zeng