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We address the problem of interference leakage (IL) minimization in the $K$-user multiple-input multiple-output (MIMO) interference channel (IC) assisted by a reconfigurable intelligent surface (RIS). We describe an iterative algorithm…

Information Theory · Computer Science 2023-03-07 Ignacio Santamaria , Mohammad Soleymani , Eduard Jorswieck , Jesus Gutierrez

This paper considers coordinated linear precoding for rate optimization in downlink multicell, multiuser orthogonal frequency- division multiple access networks. We focus on two different design criteria. In the first, the weighted sum-rate…

Information Theory · Computer Science 2015-06-17 Mirza Golam Kibria , Hidekazu Murata

Massive multiple-input-multiple-output (M-MIMO) features a capability for spatial multiplexing of large number of users. This number becomes even more extreme in extra-large (XL-MIMO), a variant of M-MIMO where the antenna array is of very…

Information Theory · Computer Science 2021-05-25 Victor Croisfelt Rodrigues , Abolfazl Amiri , Taufik Abrão , Elisabeth de Carvalho , Petar Popovski

We consider the problem of optimal sparse output feedback controller synthesis for continuous linear time invariant systems when the feedback gain is static and subject to specified structural constraints. Introducing an additional term…

Optimization and Control · Mathematics 2015-06-23 Reza Arastoo , Nader Motee , Mayuresh V. Kothare

Given a known matrix that is the sum of a low rank matrix and a masked sparse matrix, we wish to recover both the low rank component and the sparse component. The sparse matrix is masked in the sense that a linear transformation has been…

Information Theory · Computer Science 2025-04-29 Xuemei Chen , Rongrong Wang

In this paper, nonconvex and nonsmooth models for compressed sensing (CS) and low rank matrix completion (MC) is studied. The problem is formulated as a nonconvex regularized leat square optimization problems, in which the l0-norm and the…

Optimization and Control · Mathematics 2016-05-03 Zhuo-Xu Cui , Qibin Fan

We consider the problem of linear transceiver design to achieve max-min fairness in a downlink MIMO multicell network. This problem can be formulated as maximizing the minimum rate among all the users in an interfering broadcast channel…

Information Theory · Computer Science 2012-09-03 Meisam Razaviyayn , Mingyi Hong , Zhi-Quan Luo

We study the capacity of discrete memoryless many-to-one interference channels, i.e., K user interference channels where only one receiver faces interference. For a class of many-to-one interference channels, we identify a noisy…

Information Theory · Computer Science 2009-12-17 Viveck R. Cadambe , Syed A. Jafar

Nowadays, the availability of large-scale data in disparate application domains urges the deployment of sophisticated tools for extracting valuable knowledge out of this huge bulk of information. In that vein, low-rank representations…

Machine Learning · Computer Science 2017-10-06 Paris V. Giampouras , Athanasios A. Rontogiannis , Konstantinos D. Koutroumbas

Optimization problems with rank constraints arise in many applications, including matrix regression, structured PCA, matrix completion and matrix decomposition problems. An attractive heuristic for solving such problems is to factorize the…

Statistics Theory · Mathematics 2015-09-11 Yudong Chen , Martin J. Wainwright

The topic of recovery of a structured model given a small number of linear observations has been well-studied in recent years. Examples include recovering sparse or group-sparse vectors, low-rank matrices, and the sum of sparse and low-rank…

Information Theory · Computer Science 2014-07-28 Samet Oymak , Amin Jalali , Maryam Fazel , Yonina C. Eldar , Babak Hassibi

In this paper, we study the popularly dubbed matrix completion problem, where the task is to "fill in" the unobserved entries of a matrix from a small subset of observed entries, under the assumption that the underlying matrix is of…

Computation · Statistics 2020-03-04 Rahul Mazumder , Diego F. Saldana , Haolei Weng

This paper investigates a downlink multiuser multiple-input single-output system that integrates rate-splitting multiple access (RSMA) with a stacked intelligent metasurface (SIM) to enable wave-domain beamforming. Unlike conventional…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Abdullah Quran , Shimaa Naser , Maryam Tariq , Omar Alhussein , Sami Muhaidat

This paper investigates the linear precoder design for $K$-user interference channels of multiple-input multiple-output (MIMO) transceivers under finite alphabet inputs. We first obtain general explicit expressions of the achievable rate…

Information Theory · Computer Science 2016-11-18 Yongpeng Wu , Chengshan Xiao , Xiqi Gao , John D. Matyjas , Zhi Ding

We address the problem of minimizing a convex function over the space of large matrices with low rank. While this optimization problem is hard in general, we propose an efficient greedy algorithm and derive its formal approximation…

Machine Learning · Computer Science 2011-06-09 Shai Shalev-Shwartz , Alon Gonen , Ohad Shamir

Low-rank matrix recovery can be solved to statistical optimality by convex matrix optimization under the classical assumption of restricted isometry property (RIP). However, for large problems, the convex formulation is commonly replaced by…

Optimization and Control · Mathematics 2026-04-22 Andrew D. McRae , Richard Y. Zhang

We consider the high-dimensional inference problem where the signal is a low-rank symmetric matrix which is corrupted by an additive Gaussian noise. Given a probabilistic model for the low-rank matrix, we compute the limit in the large…

Probability · Mathematics 2017-03-31 Marc Lelarge , Léo Miolane

Interference alignment (IA) is a promising technique to efficiently mitigate interference and to enhance the capacity of a wireless communication network. This paper proposes a grouping-based interference alignment (GIA) with optimized…

Information Theory · Computer Science 2015-11-20 Pan Cao , Alessio Zappone , Eduard A. Jorswieck

Rank estimation is a classical model order selection problem that arises in a variety of important statistical signal and array processing systems, yet is addressed relatively infrequently in the extant literature. Here we present sample…

Methodology · Statistics 2011-08-25 Patrick O. Perry , Patrick J. Wolfe

The feasibility conditions of interference alignment (IA) are analyzed for reverse TDD systems, i.e., one cell operates as downlink (DL) but the other cell operates as uplink (UL). Under general multiple-input and multiple-output (MIMO)…

Information Theory · Computer Science 2016-07-07 Kiyeon Kim , Sang-Woon Jeon , Janghoon Yang , Dong Ku Kim