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This paper presents a novel distributed low-rank scheme and adaptive algorithms for distributed estimation over wireless networks. The proposed distributed scheme is based on a transformation that performs dimensionality reduction at each…

Information Theory · Computer Science 2017-10-03 Rodrigo C. de Lamare

Covariance estimation becomes challenging in the regime where the number p of variables outstrips the number n of samples available to construct the estimate. One way to circumvent this problem is to assume that the covariance matrix is…

Probability · Mathematics 2012-06-14 Richard Y. Chen , Alex Gittens , Joel A. Tropp

The estimation of covariance matrices of gene expressions has many applications in cancer systems biology. Many gene expression studies, however, are hampered by low sample size and it has therefore become popular to increase sample size by…

This work proposes a generative modeling-aided channel estimator based on mixtures of factor analyzers (MFA). In an offline step, the parameters of the generative model are inferred via an expectation-maximization (EM) algorithm in order to…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Benedikt Fesl , Nurettin Turan , Wolfgang Utschick

Based on closed-form interference alignment (IA) solutions, a low overhead distributed interference alignment (LOIA) scheme is proposed in this paper for the $K$-user SISO interference channel, and extension to multiple antenna scenario is…

Information Theory · Computer Science 2011-06-29 Yanjun Ma , Jiandong Li , Rui Chen

In this paper, we consider the usual linear regression model in the case where the error process is assumed strictly stationary. We use a result from Hannan, who proved a Central Limit Theorem for the usual least squares estimator under…

Statistics Theory · Mathematics 2019-06-18 Emmanuel Caron , Sophie Dede

Dynamic Metasurface Antenna (DMA) is a cutting-edge antenna technology offering scalable and sustainable solutions for large antenna arrays. The effectiveness of DMAs stems from their inherent configurable analog signal processing…

Information Theory · Computer Science 2023-11-15 Xiangyu Zhang , Haiyang Zhang , Luxi Yang , Yonina C. Eldar

Statistical inference and information processing of high-dimensional data often require efficient and accurate estimation of their second-order statistics. With rapidly changing data, limited processing power and storage at the acquisition…

Information Theory · Computer Science 2015-03-23 Yuxin Chen , Yuejie Chi , Andrea Goldsmith

In many practical situations we would like to estimate the covariance matrix of a set of variables from an insufficient amount of data. More specifically, if we have a set of $N$ independent, identically distributed measurements of an $M$…

Probability · Mathematics 2010-10-05 Thomas L. Marzetta , Gabriel H. Tucci , Steven H. Simon

We consider the problem of reconstructing rank-one matrices from random linear measurements, a task that appears in a variety of problems in signal processing, statistics, and machine learning. In this paper, we focus on the Alternating…

Machine Learning · Computer Science 2022-04-26 Kiryung Lee , Dominik Stöger

Shrinkage can effectively improve the condition number and accuracy of covariance matrix estimation, especially for low-sample-support applications with the number of training samples smaller than the dimensionality. This paper investigates…

Information Theory · Computer Science 2018-10-22 Jun Tong , Rui Hu , Jiangtao Xi , Zhitao Xiao , Qinghua Guo , Yanguang Yu

We study the sample complexity of estimating the covariance matrix $T$ of a distribution $\mathcal{D}$ over $d$-dimensional vectors, under the assumption that $T$ is Toeplitz. This assumption arises in many signal processing problems, where…

Signal Processing · Electrical Eng. & Systems 2019-10-31 Yonina C. Eldar , Jerry Li , Cameron Musco , Christopher Musco

In this paper, we consider the Group Lasso estimator of the covariance matrix of a stochastic process corrupted by an additive noise. We propose to estimate the covariance matrix in a high-dimensional setting under the assumption that the…

Statistics Theory · Mathematics 2011-10-26 Jérémie Bigot , Rolando Biscay , Jean-Michel Loubes , Lilian Muniz Alvarez

This paper presents a polarization-aware movable antenna (PAMA) framework that integrates polarization effects into the design and optimization of movable antennas (MAs). While MAs have proven effective at boosting wireless communication…

Information Theory · Computer Science 2025-07-25 Runxin Zhang , Yulin Shao , Yonina C. Eldar

With the rapid expansion of low-altitude economy (LAE) services and the growing demand for integrated sensing and communication (ISAC) in air-ground networks, reliable direction-of-arrival (DOA) estimation has become essential for both…

Signal Processing · Electrical Eng. & Systems 2026-04-02 Ye Tian , Tuo Wu , Jintao Wu , He Xu , Yuanjun Shen , Xianfu Lei , Kin-Fai Tong

We seek to improve estimates of the power spectrum covariance matrix from a limited number of simulations by employing a novel statistical technique known as shrinkage estimation. The shrinkage technique optimally combines an empirical…

Astrophysics · Physics 2009-11-13 Adrian C. Pope , István Szapudi

We propose new methods for multivariate linear regression when the regression coefficient matrix is sparse and the error covariance matrix is dense. We assume that the error covariance matrix has equicorrelation across the response…

Methodology · Statistics 2025-08-13 Daeyoung Ham , Bradley S. Price , Adam J. Rothman

In this paper, we implement hybrid Woodward-Lawson-Neural Networks and weighted Fourier method to synthesize antenna arrays. The neural networks (NN) is applied here to simplify the modeling of MIMO antenna arrays by assessing phases. The…

Signal Processing · Electrical Eng. & Systems 2019-12-03 Elies Ghayoula , Ridha Ghayoula , Jaouhar Fattahi , Emil Pricop , Jean-Yves Chouinard , Ammar Bouallegue

Simultaneous Localization and Mapping (SLAM) using 3D LiDAR has emerged as a cornerstone for autonomous navigation in robotics. While feature-based SLAM systems have achieved impressive results by leveraging edge and planar structures, they…

Robotics · Computer Science 2026-02-09 Xinran Li , Shuaikang Zheng , Pengcheng Zheng , Xinyang Wang , Jiacheng Li , Zhitian Li , Xudong Zou

The knowledge of the downlink (DL) channel spatial covariance matrix at the BS is of fundamental importance for large-scale array systems operating in frequency division duplexing (FDD) mode. In particular, this knowledge plays a key role…

Signal Processing · Electrical Eng. & Systems 2019-10-25 Lorenzo Miretti , Renato L. G. Cavalcante , Slawomir Stanczak