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Tensor robust principal component analysis (TRPCA) is a classical way for low-rank tensor recovery, which minimizes the convex surrogate of tensor rank by shrinking each tensor singular value equally. However, for real-world visual data,…

Computer Vision and Pattern Recognition · Computer Science 2023-07-10 Xiaoyu Geng , Qiang Guo , Shuaixiong Hui , Ming Yang , Caiming Zhang

We study the problem of tensor robust principal component analysis (TRPCA), which aims to separate an underlying low-multilinear-rank tensor and a sparse outlier tensor from their sum. In this work, we propose a fast non-convex algorithm,…

Machine Learning · Computer Science 2021-10-13 HanQin Cai , Zehan Chao , Longxiu Huang , Deanna Needell

The compression quality losses of depth sequences determine quality of view synthesis in free-viewpoint video. The depth map intra prediction in 3D extensions of the HEVC applies intra modes with auxiliary depth modeling modes (DMMs) to…

Multimedia · Computer Science 2025-11-06 Mansi Sharma , Jyotsana Grover

We study the tensor robust principal component analysis (TRPCA) problem, a tensorial extension of matrix robust principal component analysis (RPCA), that aims to split the given tensor into an underlying low-rank component and a sparse…

Numerical Analysis · Mathematics 2024-01-30 HanQin Cai , Zehan Chao , Longxiu Huang , Deanna Needell

The t-SVD based Tensor Robust Principal Component Analysis (TRPCA) decomposes low rank multi-linear signal corrupted by gross errors into low multi-rank and sparse component by simultaneously minimizing tensor nuclear norm and l 1 norm. But…

Computer Vision and Pattern Recognition · Computer Science 2017-07-11 M. Baburaj , Sudhish N. George

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

The research reported in this paper addresses the fundamental task of separation of locally moving or deforming image areas from a static or globally moving background. It builds on the latest developments in the field of robust principal…

Computer Vision and Pattern Recognition · Computer Science 2016-03-21 Salehe Erfanian Ebadi , Valia Guerra Ones , Ebroul Izquierdo

This work studies the Tensor Robust Principal Component Analysis (TRPCA) problem, which aims to exactly recover the low-rank and sparse components from their sum. Our model is motivated by the recently proposed linear transforms based…

Machine Learning · Computer Science 2019-07-22 Canyi Lu , Pan Zhou

Recent research on problem formulations based on decomposition into low-rank plus sparse matrices shows a suitable framework to separate moving objects from the background. The most representative problem formulation is the Robust Principal…

Computer Vision and Pattern Recognition · Computer Science 2016-11-29 Thierry Bouwmans , Andrews Sobral , Sajid Javed , Soon Ki Jung , El-Hadi Zahzah

Robust tensor completion (RTC) aims to recover a low-rank tensor from its incomplete observation with outlier corruption. The recently proposed tensor ring (TR) model has demonstrated superiority in solving the RTC problem. However, the…

Machine Learning · Computer Science 2023-02-16 Zhenhao Huang , Yuning Qiu , Xinqi Chen , Weijun Sun , Guoxu Zhou

This paper introduces the method of dynamic mode decomposition (DMD) for robustly separating video frames into background (low-rank) and foreground (sparse) components in real-time. The method is a novel application of a technique used for…

Computer Vision and Pattern Recognition · Computer Science 2014-05-01 Jacob Grosek , J. Nathan Kutz

Matrix low rank approximation including the classical PCA and the robust PCA (RPCA) method have been applied to solve the background modeling problem in video analysis. Recently, it has been demonstrated that a special weighted low rank…

Optimization and Control · Mathematics 2017-03-21 Aritra Dutta , Xin Li

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

We introduce the method of compressed dynamic mode decomposition (cDMD) for background modeling. The dynamic mode decomposition (DMD) is a regression technique that integrates two of the leading data analysis methods in use today: Fourier…

Computer Vision and Pattern Recognition · Computer Science 2016-12-13 N. Benjamin Erichson , Steven L. Brunton , J. Nathan Kutz

Low-rank tensor completion recovers missing entries based on different tensor decompositions. Due to its outstanding performance in exploiting some higher-order data structure, low rank tensor ring has been applied in tensor completion. To…

Machine Learning · Computer Science 2020-07-14 Huyan Huang , Yipeng Liu , Ce Zhu

The current research focus on Content-Based Video Retrieval requires higher-level video representation describing the long-range semantic dependencies of relevant incidents, events, etc. However, existing methods commonly process the frames…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Jie Shao , Xin Wen , Bingchen Zhao , Xiangyang Xue

The robust tensor completion (RTC) problem, which aims to reconstruct a low-rank tensor from partially observed tensor contaminated by a sparse tensor, has received increasing attention. In this paper, by leveraging the superior expression…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Yun-Yang Liu , Xi-Le Zhao , Guang-Jing Song , Yu-Bang Zheng , Ting-Zhu Huang

Background subtraction is the primary task of the majority of video inspection systems. The most important part of the background subtraction which is common among different algorithms is background modeling. In this regard, our paper…

Computer Vision and Pattern Recognition · Computer Science 2017-11-06 Behnaz Rezaei , Sarah Ostadabbas

The past few years have witnessed increasing interests in applying deep learning to video compression. However, the existing approaches compress a video frame with only a few number of reference frames, which limits their ability to fully…

Image and Video Processing · Electrical Eng. & Systems 2021-03-18 Ren Yang , Fabian Mentzer , Luc Van Gool , Radu Timofte

Video compression has always been a popular research area, where many traditional and deep video compression methods have been proposed. These methods typically rely on signal prediction theory to enhance compression performance by…

Computer Vision and Pattern Recognition · Computer Science 2023-08-31 Lv Tang , Xinfeng Zhang , Gai Zhang , Xiaoqi Ma