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We solve the (weighted) sum-rate maximization problem over the set of achievable rates characterized by a nonlinear spectral radius function. This set has been recently shown to be convex in some practically relevant settings in modern…

Optimization and Control · Mathematics 2026-02-26 Hiroki Kuroda , Renato Luis Garrido Cavalcante

In this paper, we study the power control problem for Over-the-air computation (AirComp) over fading channels. Our objective is to minimize the computation error by jointly optimizing the transmit power at the power-constrained devices and…

Information Theory · Computer Science 2020-07-24 Xiaowen Cao , Guangxu Zhu , Jie Xu , Kaibin Huang

Optimized Pulse Patterns (OPPs) are gaining increasing popularity in the power electronics community over the well-studied pulse width modulation due to their inherent ability to provide the switching instances that optimize current…

Optimization and Control · Mathematics 2020-10-29 Lukas Wachter , Orcun Karaca , Georgios Darivianakis , Themistoklis Charalambous

This letter considers the weighted sum-rate maximization (WSRMax) problem in downlink multicell multiuser orthogonal frequency-division multiplexing system. The WSRMax problem under per base station transmit power constraint is known to be…

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

Optimal Power Flow (OPF) can be modeled as a non-convex Quadratically Constrained Quadratic Program (QCQP). Our purpose is to solve OPF to global optimality. To this end, we specialize the Mixed-Integer Quadratic Convex Reformulation method…

Optimization and Control · Mathematics 2019-03-14 Hadrien Godard , Sourour Elloumi , Amélie Lambert , Jean Maeght , Manuel Ruiz

Recent advances in microelectronics have enabled the realization of Wireless Body Area Networks (WBANs). Increasing the transmission power of WBAN's nodes improves the Signal to Interference plus Noise Ratio (SINR), and hence decreases the…

Networking and Internet Architecture · Computer Science 2017-01-31 Mohamad Jaafar Ali , Hassine Moungla , Ahmed Mehaoua

We propose a novel global solution algorithm for the network-constrained unit commitment problem incorporating a nonlinear alternating current model of the transmission network, which is a nonconvex mixed-integer nonlinear programming…

Optimization and Control · Mathematics 2018-11-27 Jianfeng Liu , Anya Castillo , Jean-Paul Watson , Carl D. Laird

Quadratic constrained quadratic programming problems often occur in various fields such as engineering practice, management science, and network communication. This article mainly studies a non convex quadratic programming problem with…

Optimization and Control · Mathematics 2023-12-29 Bo Zhang , YueLin Gao , Xia Liu , XiaoLi Huang

This paper studies the successive convex approximation for low complexity (SCALE) algorithm, which was proposed to address the weighted sum rate (WSR) maximized dynamic power spectrum management (DSM) problem for multiuser multicarrier…

Information Theory · Computer Science 2012-10-04 Tao Wang , Luc Vandendorpe

In this paper, we consider the network utility maximization problem with various user priorities via jointly optimizing user association, load distribution and power control in a load-coupled heterogeneous network. In order to tackle the…

Information Theory · Computer Science 2017-10-19 Zhaohui Yang , Wei Xu , Jianfeng Shi , Hao Xu , Ming Chen

Vertical Cavity Surface Emitting Lasers (VCSELs) have gained popularity in Optical Wireless Communication (OWC) due to their high modulation bandwidth, narrow spectral width, and directional beam, offering improved spectral efficiency and…

Signal Processing · Electrical Eng. & Systems 2025-12-11 Walter Zibusiso Ncube , Ahmad Adnan Qidan , Taisir El-Gorashi , Jaafar M. H. Elmirghani

In recent years, the nuclear norm minimization (NNM) problem has been attracting much attention in computer vision and machine learning. The NNM problem is capitalized on its convexity and it can be solved efficiently. The standard nuclear…

Computer Vision and Pattern Recognition · Computer Science 2014-05-26 Qi Xie , Deyu Meng , Shuhang Gu , Lei Zhang , Wangmeng Zuo , Xiangchu Feng , Zongben Xu

Minimax optimization has become a central tool in machine learning with applications in robust optimization, reinforcement learning, GANs, etc. These applications are often nonconvex-nonconcave, but the existing theory is unable to identify…

Optimization and Control · Mathematics 2021-04-02 Benjamin Grimmer , Haihao Lu , Pratik Worah , Vahab Mirrokni

This correspondence considers the resource allocation problem in wireless interference channel (IC) under link outage constraints. Since the optimization problem is non-convex in nature, existing approaches to find the optimal power…

Networking and Internet Architecture · Computer Science 2022-03-08 Saniul Alam , Sadia Islam , Muhammad R. A. Khandaker , Risala T. Khan , Faisal Tariq , Apriana Toding

This paper first considers a multicell network deployment where the base station (BS) of each cell communicates with its cell-edge user with the assistance of an amplify-and-forward (AF) relay node. Equipped with a power splitter and a…

Information Theory · Computer Science 2016-11-17 Ali A. Nasir , Duy T. Ngo , Xiangyun Zhou , Rodney A. Kennedy , Salman Durrani

Resource allocation and transceivers in wireless networks are usually designed by solving optimization problems subject to specific constraints, which can be formulated as variable or functional optimization. If the objective and constraint…

Machine Learning · Computer Science 2020-01-06 Dong Liu , Chengjian Sun , Chenyang Yang , Lajos Hanzo

For a wireless multi-tier heterogeneous network with orthogonal spectrum allocation across tiers, we optimize the association probability and the fraction of spectrum allocated to each tier so as to maximize rate coverage. In practice, the…

Information Theory · Computer Science 2014-08-19 Sanam Sadr , Raviraj S. Adve

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…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Yacine Mokhtari , Patrick Coirault , Emmanuel Moulay , Jérôme Le Ny , Didier Larraillet

Mathematical optimization is now widely regarded as an indispensable modeling and solution tool for the design of wireless communications systems. While optimization has played a significant role in the revolutionary progress in wireless…

Information Theory · Computer Science 2024-06-10 Ya-Feng Liu , Tsung-Hui Chang , Mingyi Hong , Zheyu Wu , Anthony Man-Cho So , Eduard A. Jorswieck , Wei Yu

In wireless networks, many problems can be formulated as subset selection problems where the goal is to select a subset from the ground set with the objective of maximizing some objective function. These problems are typically NP-hard and…

Information Theory · Computer Science 2019-05-03 Chiranjib Saha , Harpreet S. Dhillon