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Principal component analysis (PCA) is one of the most popular dimension reduction techniques in statistics and is especially powerful when a multivariate distribution is concentrated near a lower-dimensional subspace. Multivariate extreme…

Methodology · Statistics 2025-07-15 Felix Reinbott , Anja Janßen

We develop a broadband channel estimation algorithm for millimeter wave (mmWave) multiple input multiple output (MIMO) systems with few-bit analog-to-digital converters (ADCs). Our methodology exploits the joint sparsity of the mmWave MIMO…

Information Theory · Computer Science 2017-12-07 Jianhua Mo , Philip Schniter , Robert W. Heath

Channel estimation and precoding in hybrid analog-digital millimeter-wave (mmWave) MIMO systems is a fundamental problem that has yet to be addressed, before any of the promised gains can be harnessed. For that matter, we propose a method…

Information Theory · Computer Science 2016-06-28 Hadi Ghauch , Taejoon Kim , Mats Bengtsson , Mikael Skoglund

Channel estimation at millimeter wave (mmWave) is challenging when large antenna arrays are used. Prior work has leveraged the sparse nature of mmWave channels via compressed sensing based algorithms for channel estimation. Most of these…

Information Theory · Computer Science 2018-06-19 Nitin Jonathan Myers , Robert W. Heath

By assigning the massive computing tasks of the traditional multichannel active noise control (MCANC) system to several distributed control nodes, distributed multichannel active noise control (DMCANC) techniques have become effective…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-16 Junwei Ji , Dongyuan Shi , Zhengding Luo , Xiaoyi Shen , Woon-Seng Gan

Principal component analysis (PCA) is a simple and popular tool for processing high-dimensional data. We investigate its effectiveness for matrix denoising. We consider the clean data are generated from a low-dimensional subspace, but…

Statistics Theory · Mathematics 2024-08-29 Xin T. Tong , Wanjie Wang , Yuguan Wang

Principal Component Analysis (PCA) is a well known procedure to reduce intrinsic complexity of a dataset, essentially through simplifying the covariance structure or the correlation structure. We introduce a novel algebraic, model-based…

Methodology · Statistics 2021-12-09 Martin Schlather , Felix Reinbott

Dimensionality reduction represents a critical preprocessing step in order to increase the efficiency and the performance of many hyperspectral imaging algorithms. However, dimensionality reduction algorithms, such as the Principal…

Machine Learning · Computer Science 2024-03-28 E. Martel , R. Lazcano , J. Lopez , D. Madroñal , R. Salvador , S. Lopez , E. Juarez , R. Guerra , C. Sanz , R. Sarmiento

We examine the problem of selecting a small set of linear measurements for reconstructing high-dimensional signals. Well-established methods for optimizing such measurements include principal component analysis (PCA), independent component…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Ling-Qi Zhang , Zahra Kadkhodaie , Eero P. Simoncelli , David H. Brainard

Principal component analysis (PCA) is a fundamental dimension reduction tool in statistics and machine learning. For large and high-dimensional data, computing the PCA (i.e., the singular vectors corresponding to a number of dominant…

Data Structures and Algorithms · Computer Science 2017-04-26 Wenjian Yu , Yu Gu , Jian Li , Shenghua Liu , Yaohang Li

Principal component analysis (PCA) is widely used for feature extraction and dimensionality reduction, with documented merits in diverse tasks involving high-dimensional data. Standard PCA copes with one dataset at a time, but it is…

Machine Learning · Computer Science 2019-01-30 Jia Chen , Gang Wang , Georgios B. Giannakis

As tensors become widespread in modern data analysis, Tucker low-rank Principal Component Analysis (PCA) has become essential for dimensionality reduction and structural discovery in tensor datasets. Motivated by the common scenario where…

Methodology · Statistics 2025-04-08 Elynn Chen , Xi Chen , Wenbo Jing , Yichen Zhang

In our previous work, a reduced order model (ROM) for a stochastic system was made, where noisy data was projected onto principal component analysis (PCA)-derived basis vectors to obtain an accurate reconstruction of the noise-free data.…

Numerical Analysis · Mathematics 2017-02-07 Indika Udagedara , Brian Helenbrook , Aaron Luttman , Jared Catenacci

Diffusive molecular communications (DiMC) have recently gained attention as a candidate for nano- to micro- and macro-scale communications due to its simplicity and energy efficiency. As signal propagation is solely enabled by Brownian…

Information Theory · Computer Science 2021-01-11 Mustafa Can Gursoy , Masoumeh Nasiri-Kenari , Urbashi Mitra

We propose and analyse a model predictive control (MPC) strategy tailored for networks of underwater agents tasked with maintaining formation while following a shared path and using acoustic communication channels. The strategy accommodates…

Optimization and Control · Mathematics 2024-10-22 Emil Wengle , Damiano Varagnolo

Fan et al. [$\mathit{Annals}$ $\mathit{of}$ $\mathit{Statistics}$ $\textbf{47}$(6) (2019) 3009-3031] constructed a distributed principal component analysis (PCA) algorithm to reduce the communication cost between multiple servers…

Statistics Theory · Mathematics 2021-10-07 Kangqiang Li , Han Bao , Lixin Zhang

Principal component analysis (PCA) is a dimensionality reduction method in data analysis that involves diagonalizing the covariance matrix of the dataset. Recently, quantum algorithms have been formulated for PCA based on diagonalizing a…

Quantum Physics · Physics 2022-10-26 Max Hunter Gordon , M. Cerezo , Lukasz Cincio , Patrick J. Coles

We study the Principal Component Analysis (PCA) problem in the distributed and streaming models of computation. Given a matrix $A \in R^{m \times n},$ a rank parameter $k < rank(A)$, and an accuracy parameter $0 < \epsilon < 1$, we want to…

Data Structures and Algorithms · Computer Science 2016-07-13 Christos Boutsidis , David P. Woodruff , Peilin Zhong

We study communication over a Gaussian multiple-access channel (MAC) with two types of transmitters: Digital transmitters hold a message from a discrete set that needs to be communicated to the receiver with vanishing error probability.…

Information Theory · Computer Science 2025-04-28 Matthias Frey , Igor Bjelaković , Michael C. Gastpar , Jingge Zhu

For many modern applications in science and engineering, data are collected in a streaming fashion carrying time-varying information, and practitioners need to process them with a limited amount of memory and computational resources in a…

Machine Learning · Statistics 2018-06-13 Laura Balzano , Yuejie Chi , Yue M. Lu
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