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Tensors have broad applications in neuroimaging, data mining, digital marketing, etc. CANDECOMP/PARAFAC (CP) tensor decomposition can effectively reduce the number of parameters to gain dimensionality-reduction and thus plays a key role in…

Statistics Theory · Mathematics 2023-11-23 Qiushi Bu , Hua Liang , Xinyu Zhang , Jiahui Zou

Due to its efficiency and stability, Robust Principal Component Analysis (RPCA) has been emerging as a promising tool for moving object detection. Unfortunately, existing RPCA based methods assume static or quasi-static background, and…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Yang Li , Guangcan Liu , Shengyong Chen

Tensor train is a hierarchical tensor network structure that helps alleviate the curse of dimensionality by parameterizing large-scale multidimensional data via a set of network of low-rank tensors. Associated with such a construction is a…

Machine Learning · Computer Science 2018-03-15 Wenqi Wang , Vaneet Aggarwal , Shuchin Aeron

Principal Component Analysis (PCA) has been widely used for dimensionality reduction and feature extraction. Robust PCA (RPCA), under different robust distance metrics, such as l1-norm and l2, p-norm, can deal with noise or outliers to some…

Machine Learning · Computer Science 2021-06-29 Zhao Kang , Hongfei Liu , Jiangxin Li , Xiaofeng Zhu , Ling Tian

A basic algorithmic task in automated video surveillance is to separate background and foreground objects. Camera tampering, noisy videos, low frame rate, etc., pose difficulties in solving the problem. A general approach that classifies…

Applications · Statistics 2024-09-17 Subhrajyoty Roy , Ayanendranath Basu , Abhik Ghosh

We address the problem of tensor robust principal component analysis (TRPCA), which entails decomposing a given tensor into the sum of a low-rank tensor and a sparse tensor. By leveraging the tensor singular value decomposition (t-SVD), we…

Numerical Analysis · Mathematics 2025-05-08 Huiwen Zheng , Yifei Lou , Guoliang Tian , Chao Wang

Sparse principal component analysis (sparse PCA) aims at finding a sparse basis to improve the interpretability over the dense basis of PCA, meanwhile the sparse basis should cover the data subspace as much as possible. In contrast to most…

Machine Learning · Computer Science 2014-05-02 Zhenfang Hu , Gang Pan , Yueming Wang , Zhaohui Wu

Radio-frequency (RF) tomographic imaging is a promising technique for inferring multi-dimensional physical space by processing RF signals traversed across a region of interest. However, conventional RF tomography schemes are generally based…

Information Theory · Computer Science 2017-12-19 Tao Deng , Xiao-Yang Liu , Feng Qian , Anwar Walid

This paper proposes a tensor-based parametric modeling and estimation framework in multiple-input multiple-output (MIMO) systems assisted by intelligent reflecting surfaces (IRSs). We present two algorithms that exploit the tensor structure…

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

Multilook processing is a widely used speckle reduction approach in synthetic aperture radar (SAR) imaging. Conventionally, it is achieved by incoherently summing of some independent low-resolution images formulated from overlapping…

Information Theory · Computer Science 2013-10-29 Jian Fang , Zongben Xu , Bingchen Zhang , Wen Hong , Yirong Wu

Anomaly detection plays a critical role in modern data-driven applications, from identifying fraudulent transactions and safeguarding network infrastructure to monitoring sensor systems for irregular patterns. Traditional approaches, such…

Machine Learning · Computer Science 2025-03-05 Bowen Su

This report proposes a robust method for classifying oceanic and atmospheric phenomena using synthetic aperture radar (SAR) imagery. Our proposed method leverages the powerful pre-trained model Swin Transformer v2 Large as the backbone and…

Image and Video Processing · Electrical Eng. & Systems 2024-05-07 Haonan Xu , Han Yinan , Haotian Si , Yang Yang

We propose personalized Tucker decomposition (perTucker) to address the limitations of traditional tensor decomposition methods in capturing heterogeneity across different datasets. perTucker decomposes tensor data into shared global…

Machine Learning · Computer Science 2025-08-25 Jiuyun Hu , Naichen Shi , Raed Al Kontar , Hao Yan

Nonnegative Tucker decomposition (NTD) is a powerful tool for the extraction of nonnegative parts-based and physically meaningful latent components from high-dimensional tensor data while preserving the natural multilinear structure of…

Machine Learning · Computer Science 2015-09-17 Guoxu Zhou , Andrzej Cichocki , Qibin Zhao , Shengli Xie

Producing large complex simulation datasets can often be a time and resource consuming task. Especially when these experiments are very expensive, it is becoming more reasonable to generate synthetic data for downstream tasks. Recently,…

Machine Learning · Computer Science 2025-08-28 Paimon Goulart , Shaan Pakala , Evangelos Papalexakis

Change detection is an important synthetic aperture radar (SAR) application, usually used to detect changes on the ground scene measurements in different moments in time. Traditionally, change detection algorithm (CDA) is mainly designed…

Image and Video Processing · Electrical Eng. & Systems 2022-06-07 B. G. Palm , D. I. Alves , V. T. Vu , M. I. Pettersson , F. M. Bayer , R. J. Cintra , R. Machado , P. Dammert , H. Hellsten

Automatic Target Recognition (ATR) in Synthetic aperture radar (SAR) images becomes a very challenging problem owing to containing high level noise. In this study, a machine learning-based method is proposed to detect different moving and…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 Umut Özkaya

Conventional focusing methods for Synthetic Aperture Radar (SAR) employ block processing efficiently but remain latency-heavy processes that prevent the realisation of a closed-loop cognitive SAR vision system. We present the first Online…

Image and Video Processing · Electrical Eng. & Systems 2026-05-12 Sebastian Fieldhouse , Roberto Del Prete , Gabriele Daga , Nathaniel Rensly , Gabriele Meoni , Kea-Tiong Tang

In this work, we address the problem of outlier detection for robust motion estimation by using modern sparse-low-rank decompositions, i.e., Robust PCA-like methods, to impose global rank constraints. Robust decompositions have shown to be…

Computer Vision and Pattern Recognition · Computer Science 2014-10-23 German Ros , Jose Alvarez , Julio Guerrero

This paper introduces a novel scheme to progressively estimate interferometric phases from a stack of synthetic aperture radar (SAR) images. The scheme is shown to yield comparable performance to full-covariance algorithms for a realistic…

Signal Processing · Electrical Eng. & Systems 2020-10-07 Francesco De Zan
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