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Tensor decomposition methods allow us to learn the parameters of latent variable models through decomposition of low-order moments of data. A significant limitation of these algorithms is that there exists no general method to regularize…

Machine Learning · Statistics 2019-05-28 Omer Gottesman , Weiwei Pan , Finale Doshi-Velez

Hyper spectral imaging is a remote sensing technology, providing variety of applications such as material identification, space object identification, planetary exploitation etc. It deals with capturing continuum of images of the earth…

Numerical Analysis · Computer Science 2015-03-24 Ankit Gupta , Ashish Oberoi

In recent years, low-rank based tensor completion, which is a higher-order extension of matrix completion, has received considerable attention. However, the low-rank assumption is not sufficient for the recovery of visual data, such as…

Computer Vision and Pattern Recognition · Computer Science 2016-09-21 Tatsuya Yokota , Qibin Zhao , Andrzej Cichocki

The signal to noise ratio (SNR) fundamentally limits the information accessible by magnetic resonance imaging (MRI). This limitation has been addressed by a host of denoising techniques, recently including so-called MPPCA: Principal…

Medical Physics · Physics 2022-10-18 Jonas L. Olesen , Andrada Ianus , Leif Østergaard , Noam Shemesh , Sune N. Jespersen

In this letter, we investigate the channel estimation problem for MIMO wireless communication systems with movable antennas (MAs) at both the transmitter (Tx) and receiver (Rx). To achieve high channel estimation accuracy with low pilot…

Signal Processing · Electrical Eng. & Systems 2025-01-07 Ruoyu Zhang , Lei Cheng , Wei Zhang , Xinrong Guan , Yueming Cai , Wen Wu , Rui Zhang

This paper addresses the problem of finding interpretable directions in the latent space of pre-trained Generative Adversarial Networks (GANs) to facilitate controllable image synthesis. Such interpretable directions correspond to…

Computer Vision and Pattern Recognition · Computer Science 2021-11-24 James Oldfield , Markos Georgopoulos , Yannis Panagakis , Mihalis A. Nicolaou , Ioannis Patras

Many idealized problems in signal processing, machine learning and statistics can be reduced to the problem of finding the symmetric canonical decomposition of an underlying symmetric and orthogonally decomposable (SOD) tensor. Drawing…

Numerical Analysis · Computer Science 2017-05-31 Cun Mu , Daniel Hsu , Donald Goldfarb

This article is written to serve as an introduction and survey of imaging with synthetic aperture radar (SAR). The reader will benefit from having some familiarity with harmonic analysis, electromagnetic radiation, and inverse problems.…

Numerical Analysis · Mathematics 2019-10-24 Toby Sanders , Christian Dwyer , Rodrigo B. Platte

Multi-way data arises in many applications such as electroencephalography (EEG) classification, face recognition, text mining and hyperspectral data analysis. Tensor decomposition has been commonly used to find the hidden factors and elicit…

Optimization and Control · Mathematics 2014-05-07 Yangyang Xu

Radar Cross Section measurement data is often analyzed using Inverse Synthetic Aperture Radar images. This paper compares backprojection and iterative smooth reweighted $\ell_1$-minimization as methods to analyze radar cross section…

Signal Processing · Electrical Eng. & Systems 2025-08-15 Christer Larsson

Tensor decomposition of high-dimensional data often struggles to capture semantically or physically meaningful structures, particularly when relying on reconstruction objectives and fixed-rank constraints. We introduce a no-rank tensor…

Machine Learning · Computer Science 2026-03-03 Maryam Bagherian

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

In intelligent transportation systems, traffic data imputation, estimating the missing value from partially observed data is an inevitable and challenging task. Previous studies have not fully considered traffic data's multidimensionality…

Machine Learning · Statistics 2023-11-01 Wenwu Gong , Zhejun Huang , Lili Yang

This paper provides an overview of three notable approaches for detecting anomalies in spatio-temporal data. The three review methods are selected from the framework of multivariate statistical process control (SPC), scan statistics, and…

Methodology · Statistics 2023-09-19 Ji Chen

Independent component analysis (ICA) is a fundamental problem in the field of signal processing, and numerous algorithms have been developed to address this issue. The core principle of these algorithms is to find a transformation matrix…

Signal Processing · Electrical Eng. & Systems 2024-05-21 Liangliang Zhu , Zhebin Song , Xuesen Zhang , Meibin Qi

The segmentation of synthetic aperture radar (SAR) images is a longstanding yet challenging task, not only because of the presence of speckle, but also due to the variations of surface backscattering properties in the images. Tremendous…

Computer Vision and Pattern Recognition · Computer Science 2017-07-25 Gui-Song Xia , Gang Liu , Wen Yang

Moving object detection is critical for automated video analysis in many vision-related tasks, such as surveillance tracking, video compression coding, etc. Robust Principal Component Analysis (RPCA), as one of the most popular moving…

Computer Vision and Pattern Recognition · Computer Science 2020-06-16 Zerui Shao , Yifei Pu , Jiliu Zhou , Bihan Wen , Yi Zhang

Tensor networks have in recent years emerged as the powerful tools for solving the large-scale optimization problems. One of the most popular tensor network is tensor train (TT) decomposition that acts as the building blocks for the…

Numerical Analysis · Computer Science 2016-06-20 Qibin Zhao , Guoxu Zhou , Shengli Xie , Liqing Zhang , Andrzej Cichocki

Tensor ring (TR) decomposition is a powerful tool for exploiting the low-rank nature of multiway data and has demonstrated great potential in a variety of important applications. In this paper, nonnegative tensor ring (NTR) decomposition…

Computer Vision and Pattern Recognition · Computer Science 2020-10-13 Yuyuan Yu , Guoxu Zhou , Ning Zheng , Shengli Xie , Qibin Zhao

Monitoring of ground movement close to the rail corridor, such as that associated with landslips caused by ground subsidence and/or uplift, is of great interest for the detection and prevention of possible railway faults. Interferometric…

Image and Video Processing · Electrical Eng. & Systems 2022-03-07 Odysseas Pappas , Juliet Biggs , David Bull , Alin Achim , Nantheera Anantrasirichai
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