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Background subtraction has been a fundamental and widely studied task in video analysis, with a wide range of applications in video surveillance, teleconferencing and 3D modeling. Recently, motivated by compressive imaging, background…

Computer Vision and Pattern Recognition · Computer Science 2016-08-24 Wenfei Cao , Yao Wang , Jian Sun , Deyu Meng , Can Yang , Andrzej Cichocki , Zongben Xu

In synthetic aperture radar (SAR), images are formed by focusing the response of stationary objects to a single spatial location. On the other hand, moving targets cause phase errors in the standard formation of SAR images that cause…

Information Theory · Computer Science 2013-02-20 Gregory E. Newstadt , Edmund G. Zelnio , Alfred O. Hero

We study a multiple measurement vector (MMV) approach to synthetic aperture radar (SAR) imaging of scenes with direction dependent reflectivity and with polarization diverse measurements. The data are gathered by a moving transmit- receive…

Optimization and Control · Mathematics 2017-11-08 Liliana Borcea , Ilker Kocyigit

Along with the improvement of radar technologies, Automatic Target Recognition (ATR) using Synthetic Aperture Radar (SAR) and Inverse SAR (ISAR) has come to be an active research area. SAR/ISAR are radar techniques to generate a…

Computer Vision and Pattern Recognition · Computer Science 2018-03-13 Carlos Pena-Caballero , Elifaleth Cantu , Jesus Rodriguez , Adolfo Gonzales , Osvaldo Castellanos , Angel Cantu , Megan Strait , Jae Son , Dongchul Kim

Synthetic Aperture Radar (SAR) images are usually degraded by a multiplicative noise known as speckle which makes processing and interpretation of SAR images difficult. In this paper, we introduce a transformer-based network for SAR image…

Computer Vision and Pattern Recognition · Computer Science 2022-01-25 Malsha V. Perera , Wele Gedara Chaminda Bandara , Jeya Maria Jose Valanarasu , Vishal M. Patel

This paper studies tensor-based Robust Principal Component Analysis (RPCA) using atomic-norm regularization. Given the superposition of a sparse and a low-rank tensor, we present conditions under which it is possible to exactly recover the…

Optimization and Control · Mathematics 2019-01-31 Derek Driggs , Stephen Becker , Jordan Boyd-Graber

This paper proposes a tensor-based parameter estimation algorithm for sensing in an intelligent reflecting surface-assisted system. We present a higher-order singular value decomposition-based solution that exploits the tensor structure of…

Signal Processing · Electrical Eng. & Systems 2026-05-29 Kenneth B. A. Benício , Bruno Sokal , André L. F. de Almeida , Fazal-E-Asim , Behrooz Makki , Gábor Fodor

Modeling inverse dynamics is crucial for accurate feedforward robot control. The model computes the necessary joint torques, to perform a desired movement. The highly non-linear inverse function of the dynamical system can be approximated…

Machine Learning · Computer Science 2017-11-15 Stephan Baier , Volker Tresp

Tensor Robust Principal Component Analysis (TRPCA) is a fundamental technique for decomposing multi-dimensional data into a low-rank tensor and an outlier tensor, yet existing methods relying on sparse outlier assumptions often fail under…

Numerical Analysis · Mathematics 2025-04-28 Yangyang Xu , Kexin Li , Li Yang , You-Wei Wen

This paper deals with the analysis, estimation, and compensation of trajectory errors in automotive-based Synthetic Aperture Radar (SAR) systems. First of all, we define the geometry of the acquisition and the model of the received signal.…

Tensors naturally model many real world processes which generate multi-aspect data. Such processes appear in many different research disciplines, e.g, chemometrics, computer vision, psychometrics and neuroimaging analysis. Tensor…

Data Structures and Algorithms · Computer Science 2009-09-29 Charalampos E. Tsourakakis

Tensor principal component analysis (TPCA) is a multi-linear extension of principal component analysis which converts a set of correlated measurements into several principal components. In this paper, we propose a new robust TPCA method to…

Computer Vision and Pattern Recognition · Computer Science 2017-01-17 Longxi Chen , Yipeng Liu , Ce Zhu

The CP decomposition for high dimensional non-orthogonal spiked tensors is an important problem with broad applications across many disciplines. However, previous works with theoretical guarantee typically assume restrictive incoherence…

Machine Learning · Statistics 2022-09-20 Yuefeng Han , Cun-Hui Zhang

Motivated by applications in unmanned aerial based ground penetrating radar for detecting buried landmines, we consider the problem of imaging small point like scatterers situated in a lossy medium below a random rough surface. Both the…

Signal Processing · Electrical Eng. & Systems 2023-03-24 Arnold D. Kim , Chrysoula Tsogka

Dimensionality reduction is an essential technique for multi-way large-scale data, i.e., tensor. Tensor ring (TR) decomposition has become popular due to its high representation ability and flexibility. However, the traditional TR…

Numerical Analysis · Mathematics 2024-12-20 Longhao Yuan , Chao Li , Jianting Cao , Qibin Zhao

Radar based assisted living has received great amount of research interest in recent years. By employing the micro-Doppler features of indoor human motions, accurate recognition and classification of different types of movements become…

Signal Processing · Electrical Eng. & Systems 2020-01-30 Qiang An , Shuoguang Wang , Wenji Zhang , Hao Lv , Jianqi Wang , Shiyong Li , Ahmad Hoorfar

Comparing tensors and identifying their (dis)similar structures is fundamental in understanding the underlying phenomena for complex data. Tensor decomposition methods help analysts extract tensors' essential characteristics and aid in…

Human-Computer Interaction · Computer Science 2025-07-29 Naoki Okami , Kazuki Miyake , Naohisa Sakamoto , Jorji Nonaka , Takanori Fujiwara

The objective of this study is to address the problem of background/foreground separation with missing pixels by combining the video acquisition, video recovery, background/foreground separation into a single framework. To achieve this, a…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Bo Shen , Weijun Xie , Zhenyu Kong

Synthetic aperture radar (SAR) is a tomographic sensor that measures 2D slices of the 3D spatial Fourier transform of the scene. In many operational scenarios, the measured set of 2D slices does not fill the 3D space in the Fourier domain,…

Signal Processing · Electrical Eng. & Systems 2026-02-20 Nithin Sugavanam , Emre Ertin

Tensor robust principal component analysis (RPCA), which seeks to separate a low-rank tensor from its sparse corruptions, has been crucial in data science and machine learning where tensor structures are becoming more prevalent. While…

Machine Learning · Statistics 2022-12-23 Harry Dong , Megna Shah , Sean Donegan , Yuejie Chi