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Historically, analysis for multiscale PDEs is largely unified while numerical schemes tend to be equation-specific. In this paper, we propose a unified framework for computing multiscale problems through random sampling. This is achieved by…

Numerical Analysis · Mathematics 2022-03-09 Ke Chen , Shi Chen , Qin Li , Jianfeng Lu , Stephen J. Wright

A Graph of Convex Sets (GCS) is a graph in which vertices are associated with convex programs and edges couple pairs of programs through additional convex costs and constraints. Any optimization problem over an ordinary weighted graph…

Optimization and Control · Mathematics 2025-10-24 Tobia Marcucci

Existing methods for robust multigroup multicast beamforming obtain feasible points using semidefinite relaxation (SDR) and Gaussian randomization, and have high computational complexity. In this letter, we consider the robust multigroup…

Information Theory · Computer Science 2019-05-15 Guangda Zang , Hei Victor Cheng , Ying Cui , Wei Liu , Feng Yang , Lianghui Ding , Hui Liu

Characterizing the global maximum of weighted sum-rate (WSR) for the K-user Gaussian interference channel (GIC), with the interference treated as Gaussian noise, is a key problem in wireless communication. However, due to the users' mutual…

Information Theory · Computer Science 2016-11-17 Liang Liu , Rui Zhang , Kee-Chaing Chua

Multi-user multiple-input multiple-output (MU-MIMO) beamforming design is typically formulated as a non-convex weighted sum rate (WSR) maximization problem that is known to be NP-hard. This problem is solved either by iterative algorithms,…

Signal Processing · Electrical Eng. & Systems 2022-10-28 Jing-Yuan Xia , Zhixiong Yang , Tong Qiu , Huaizhang Liao , Deniz Gunduz

Joint unicast and multicast transmissions are becoming increasingly important in practical wireless systems, such as Internet of Things networks. This paper investigates a cell-free massive multiple-input multiple-output system that…

Signal Processing · Electrical Eng. & Systems 2025-08-20 Mustafa S. Abbas , Zahra Mobini , Hien Quoc Ngo , Hyundong Shin , Michail Matthaiou

In this paper, we study the downlink multiuser scheduling problem for systems with simultaneous wireless information and power transfer (SWIPT). We design optimal scheduling algorithms that maximize the long-term average system throughput…

Information Theory · Computer Science 2015-05-26 Maryna Chynonova , Rania Morsi , Derrick Wing Kwan Ng , Robert Schober

In this work, we propose a method for determining a non-uniform sampling scheme for multi-dimensional signals by solving a convex optimization problem reminiscent of the sensor selection problem. The resulting sampling scheme minimizes the…

Methodology · Statistics 2017-07-12 Johan Swärd , Filip Elvander , Andreas Jakobsson

This paper proposes computationally efficient algorithms to maximize the energy efficiency in multi-carrier wireless interference networks, by a suitable allocation of the system radio resources, namely the transmit powers and subcarrier…

Networking and Internet Architecture · Computer Science 2018-03-02 Salvatore D'Oro , Alessio Zappone , Sergio Palazzo , Marco Lops

In this paper, we study the non-convex problem of continuous frequency optimal spectrum management in multiuser frequency selective interference channels. Firstly, a simple pairwise channel condition for FDMA schemes to achieve all Pareto…

Information Theory · Computer Science 2011-02-21 Yue Zhao , Gregory J. Pottie

We investigate and solve the rate balancing problem in the downlink for a multiuser Multiple-Input-Multiple-Output (MIMO) system. In particular, we adopt a transceiver structure to maximize the worst-case rate of the user while satisfying a…

Signal Processing · Electrical Eng. & Systems 2019-06-14 Imene Ghamnia , Dirk Slock , Yi Yuan-Wu

This work considers worst-case utility maximization (WCUM) problem for a downlink wireless system where a multiantenna base station communicates with multiple single-antenna users. Specifically, we jointly design transmit covariance…

Information Theory · Computer Science 2013-02-26 Kun-Yu Wang , Haining Wang , Zhi Ding , Chong-Yung Chi

Convex approximation sets for multiobjective optimization problems are a well-studied relaxation of the common notion of approximation sets. Instead of approximating each image of a feasible solution by the image of some solution in the…

Optimization and Control · Mathematics 2023-06-13 Stephan Helfrich , Stefan Ruzika , Clemens Thielen

In this paper we propose resource allocation algorithm for uplink sparse code multiple access (SCMA) networks to maximize the energy efficiency (EE). Due to the joint optimization of factor graph matrix and power allocation matrix, the EE…

Signal Processing · Electrical Eng. & Systems 2020-04-22 Samira Jaber , Wen Chen , Kunlun Wang , Jun Li

In this thesis, we study the downlink multiuser scheduling and power allocation problem for systems with simultaneous wireless information and power transfer (SWIPT). In the first part of the thesis, we focus on multiuser scheduling. We…

Information Theory · Computer Science 2015-03-18 Maryna Chynonova

This paper considers the joint precoder design problem for multiple-input single-output (MISO) systems with coordinated base stations (BSs). We consider maximization of the total sum rate with per BS antenna power constraint problem. For…

Optimization and Control · Mathematics 2013-11-26 Tadilo Endeshaw Bogale , Luc Vandendorpe

This work presents a resource allocation algorithm in K-user, M-subcarrier and NT-antenna systems for on-line scheduling. To exploit temporal diversity and to reduce complexity, the ergodic sum rate is maximized instead of the instantaneous…

Signal Processing · Electrical Eng. & Systems 2018-03-21 Ana I. Pérez-Neira , Pol Henarejos , Velio Tralli , Miguel A. Lagunas

This paper investigates the joint data and pilot power optimization for maximum sum spectral efficiency (SE) in multi-cell Massive MIMO systems, which is a non-convex problem. We first propose a new optimization algorithm, inspired by the…

Information Theory · Computer Science 2019-03-21 Trinh Van Chien , Emil Björnson , Erik G. Larsson

In this paper, a joint power allocation algorithm with minimum mean-squared error (MMSE) receiver for a cooperative Multiple-Input and Multiple-Output (MIMO) network which employs multiple relays and a Decode-and-Forward (DF) strategy is…

Information Theory · Computer Science 2013-03-22 T. Peng , R. C. de Lamare , A. Schmeink

Low-rank matrix approximation is one of the central concepts in machine learning, with applications in dimension reduction, de-noising, multivariate statistical methodology, and many more. A recent extension to LRMA is called low-rank…

Machine Learning · Statistics 2021-09-24 Elena Tuzhilina , Trevor Hastie