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Foreground detection in a given video sequence is a pivotal step in many computer vision applications such as video surveillance system. Robust Principal Component Analysis (RPCA) performs low-rank and sparse decomposition and accomplishes…

Computer Vision and Pattern Recognition · Computer Science 2019-09-19 Amirhossein Khalilian-Gourtani , Shervin Minaee , Yao Wang

The problem of recovering a low-rank matrix from a set of observations corrupted with gross sparse error is known as the robust principal component analysis (RPCA) and has many applications in computer vision, image processing and web data…

Optimization and Control · Mathematics 2013-09-27 Necdet Serhat Aybat , Donald Goldfarb , Shiqian Ma

Linear latent variable models such as principal component analysis (PCA), independent component analysis (ICA), canonical correlation analysis (CCA), and factor analysis (FA) identify latent directions (or loadings) either ordered or…

Machine Learning · Statistics 2023-07-13 Jesse Stevens , Daniel N. Wilke , Itumeleng Setshedi

Over the years, Principal Component Analysis (PCA) has served as the baseline approach for dimensionality reduction in gene expression data analysis. It primary objective is to identify a subset of disease-causing genes from a vast pool of…

Algebraic Topology · Mathematics 2023-06-13 Sean Cottrell , Rui Wang , Guowei Wei

An increasing number of data science and machine learning problems rely on computation with tensors, which better capture the multi-way relationships and interactions of data than matrices. When tapping into this critical advantage, a key…

Machine Learning · Statistics 2023-02-23 Harry Dong , Tian Tong , Cong Ma , Yuejie Chi

Continuing our previous research on color image compression, we move towards spectral image compression. This enormous amount of data needs more space to store and more time to transmit. To manage this sheer amount of data, researchers have…

Multimedia · Computer Science 2015-06-05 Muhammad Safdar , Ming Ronnier Luo , Xiaoyu Liu

Physical Layer Authentication (PLA) exploits the spatial uniqueness of wireless channel characteristics in order to authenticate devices without recourse to higher-layer cryptographic protocols, which remain vulnerable to key compromise.…

Signal Processing · Electrical Eng. & Systems 2026-04-14 Sachinkumar B. Mallikarjun , Marvin Reski , Andreas Weinand , Hans D. Schotten

As a widely used method in machine learning, principal component analysis (PCA) shows excellent properties for dimensionality reduction. It is a serious problem that PCA is sensitive to outliers, which has been improved by numerous Robust…

Machine Learning · Computer Science 2020-11-24 Shenglan Liu , Yang Yu

Split learning (SL) transfers most of the training workload to the server, which alleviates computational burden on client devices. However, the transmission of intermediate feature representations, referred to as smashed data, incurs…

Machine Learning · Computer Science 2026-03-19 Jialei Tan , Zheng Lin , Xiangming Cai , Ruoxi Zhu , Zihan Fang , Pingping Chen , Wei Ni

An orthogonal affine-precoded superimposed pilot-based architecture is developed for the cyclic prefix (CP)-aided SISO and MIMO orthogonal time frequency space systems relying on arbitrary transmitter-receiver pulse shaping. The data and…

Signal Processing · Electrical Eng. & Systems 2023-05-26 Anand Mehrotra , Suraj Srivastava , Aditya K. Jagannatham , Lajos Hanzo

Robust principal component analysis (RPCA) is a critical tool in modern machine learning, which detects outliers in the task of low-rank matrix reconstruction. In this paper, we propose a scalable and learnable non-convex approach for…

Machine Learning · Computer Science 2023-02-28 HanQin Cai , Jialin Liu , Wotao Yin

The performance of the standard Online Robust Principal Component Analysis (OR-PCA) technique depends on the optimum tuning of the explicit regularizers and this tuning is dataset sensitive. We aim to remove the dependency on these tuning…

Machine Learning · Computer Science 2025-08-15 Lakshmi Jayalal , Gokularam Muthukrishnan , Sheetal Kalyani

This work studies the recursive robust principal components' analysis (PCA) problem. Here, "robust" refers to robustness to both independent and correlated sparse outliers, although we focus on the latter. A key application where this…

Information Theory · Computer Science 2011-06-17 Chenlu Qiu , Namrata Vaswani

Recently, channel state information (CSI) at the physical-layer has been utilized to detect spoofing attacks in wireless communications. However, due to hardware impairments and communication noise, the CSI cannot be estimated accurately,…

Signal Processing · Electrical Eng. & Systems 2021-01-18 Chu Li , Aydin Sezgin

We propose a comprehensive framework exploiting the polarization sensitive array (PLA) to improve the physical layer security of wireless communications. More specifically, the polarization difference among signals is utilized to improve…

Information Theory · Computer Science 2017-10-03 Shiqi Gong , Chengwen Xing , Sheng Chen , Zesong Fei

This work studies the recursive robust principal components analysis (PCA) problem. If the outlier is the signal-of-interest, this problem can be interpreted as one of recursively recovering a time sequence of sparse vectors, $S_t$, in the…

Information Theory · Computer Science 2014-03-28 Chenlu Qiu , Namrata Vaswani , Brian Lois , Leslie Hogben

The reconstruction of sparse signals from a limited set of measurements poses a significant challenge as it necessitates a solution to an underdetermined system of linear equations. Compressed sensing (CS) deals with sparse signal…

Information Theory · Computer Science 2025-05-22 Salman Habib , Remi Chou , Taejoon Kim

High-dimensional data often exhibit dependencies among variables that violate the isotropic-noise assumption under which principal component analysis (PCA) is optimal. For cases where the noise is not independent and identically distributed…

Machine Learning · Computer Science 2026-01-16 Antonio Briola , Marwin Schmidt , Fabio Caccioli , Carlos Ros Perez , James Singleton , Christian Michler , Tomaso Aste

Sparse principal component analysis (SPCA) has emerged as a powerful technique for modern data analysis, providing improved interpretation of low-rank structures by identifying localized spatial structures in the data and disambiguating…

Physical layer authentication (PLA) is the process of claiming identity of a node based on its physical layer characteristics such as channel fading or hardware imperfections. In this work, we propose a novel PLA method for the…

Signal Processing · Electrical Eng. & Systems 2022-02-18 Ozan Alp Topal , Gunes Karabulut Kurt