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This paper studies a tensor-structured linear regression model with a scalar response variable and tensor-structured predictors, such that the regression parameters form a tensor of order $d$ (i.e., a $d$-fold multiway array) in…

Machine Learning · Computer Science 2020-11-26 Talal Ahmed , Haroon Raja , Waheed U. Bajwa

Image processing and recognition are an important part of the modern society, with applications in fields such as advanced artificial intelligence, smart assistants, and security surveillance. The essential first step involved in almost all…

Computer Vision and Pattern Recognition · Computer Science 2018-10-25 Min Chen , Andy Song , Shivanthan A. C. Yhanandan , Jing Zhang

The Principal Component Analysis (PCA) method and the Singular Value Decomposition (SVD) method are widely used for foreground subtraction in 21 cm intensity mapping experiments. We show their equivalence, and point out that the condition…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-07 Shifan Zuo , Xuelei Chen , Yi Mao

In our paper, we have studied the tensor completion problem when the sampling pattern is deterministic. We first propose a simple but efficient weighted HOSVD algorithm for recovery from noisy observations. Then we use the weighted HOSVD…

Numerical Analysis · Mathematics 2020-03-23 Zehan Chao , Longxiu Huang , Deanna Needell

In this work, we present a novel background subtraction system that uses a deep Convolutional Neural Network (CNN) to perform the segmentation. With this approach, feature engineering and parameter tuning become unnecessary since the…

Computer Vision and Pattern Recognition · Computer Science 2017-02-07 Mohammadreza Babaee , Duc Tung Dinh , Gerhard Rigoll

Large Vision-Language Models (VLMs) have been extended to understand both images and videos. Visual token compression is leveraged to reduce the considerable token length of visual inputs. To meet the needs of different tasks, existing…

Computer Vision and Pattern Recognition · Computer Science 2024-12-13 Chenyu Yang , Xuan Dong , Xizhou Zhu , Weijie Su , Jiahao Wang , Hao Tian , Zhe Chen , Wenhai Wang , Lewei Lu , Jifeng Dai

Continual learning (CL) has spurred the development of several methods aimed at consolidating previous knowledge across sequential learning. Yet, the evaluations of these methods have primarily focused on the final output, such as changes…

Machine Learning · Computer Science 2024-08-20 Nishant Suresh Aswani , Amira Guesmi , Muhammad Abdullah Hanif , Muhammad Shafique

It is known that the decomposition in low-rank and sparse matrices (\textbf{L+S} for short) can be achieved by several Robust PCA techniques. Besides the low rankness, the local smoothness (\textbf{LSS}) is a vitally essential prior for…

Computer Vision and Pattern Recognition · Computer Science 2022-12-19 Jiangjun Peng , Yao Wang , Hongying Zhang , Jianjun Wang , Deyu Meng

The framework of dominant learned video compression methods is usually composed of motion prediction modules as well as motion vector and residual image compression modules, suffering from its complex structure and error propagation…

Image and Video Processing · Electrical Eng. & Systems 2021-04-14 Zhenhong Sun , Zhiyu Tan , Xiuyu Sun , Fangyi Zhang , Dongyang Li , Yichen Qian , Hao Li

In video analysis, background models have many applications such as background/foreground separation, change detection, anomaly detection, tracking, and more. However, while learning such a model in a video captured by a static camera is a…

Computer Vision and Pattern Recognition · Computer Science 2022-09-19 Guy Erez , Ron Shapira Weber , Oren Freifeld

In low-rank tensor completion tasks, due to the underlying multiple large-scale singular value decomposition (SVD) operations and rank selection problem of the traditional methods, they suffer from high computational cost and high…

Numerical Analysis · Computer Science 2018-05-23 Longhao Yuan , Chao Li , Danilo Mandic , Jianting Cao , Qibin Zhao

The numerical solution of algebraic tensor equations is a largely open and challenging task. Assuming that the operator is symmetric and positive definite, we propose two new gradient-descent type methods for tensor equations that…

Numerical Analysis · Mathematics 2026-02-26 Martina Iannacito , Lorenzo Piccinini , Valeria Simoncini

We propose a new tensor completion method based on tensor trains. The to-be-completed tensor is modeled as a low-rank tensor train, where we use the known tensor entries and their coordinates to update the tensor train. A novel tensor train…

Numerical Analysis · Computer Science 2018-11-14 Ching-Yun Ko , Kim Batselier , Wenjian Yu , Ngai Wong

Conventional video compression approaches use the predictive coding architecture and encode the corresponding motion information and residual information. In this paper, taking advantage of both classical architecture in the conventional…

Image and Video Processing · Electrical Eng. & Systems 2019-04-09 Guo Lu , Wanli Ouyang , Dong Xu , Xiaoyun Zhang , Chunlei Cai , Zhiyong Gao

In this paper, we propose a new framework for compressive video sensing (CVS) that exploits the inherent spatial and temporal redundancies of a video sequence, effectively. The proposed method splits the video sequence into the key and…

Multimedia · Computer Science 2015-09-01 Nasser Eslahi , Ali Aghagolzadeh , Seyed Mehdi Hosseini Andargoli

Robust Principal Component Analysis (RPCA) is a fundamental technique for decomposing data into low-rank and sparse components, which plays a critical role for applications such as image processing and anomaly detection. Traditional RPCA…

Machine Learning · Computer Science 2024-12-20 Kexin Li , You-wei Wen , Xu Xiao , Mingchao Zhao

In Learned Video Compression (LVC), improving inter prediction, such as enhancing temporal context mining and mitigating accumulated errors, is crucial for boosting rate-distortion performance. Existing LVCs mainly focus on mining the…

Image and Video Processing · Electrical Eng. & Systems 2025-10-29 Wei Jiang , Junru Li , Kai Zhang , Li Zhang

Spectral methods have been the mainstay in several domains such as machine learning and scientific computing. They involve finding a certain kind of spectral decomposition to obtain basis functions that can capture important structures for…

Machine Learning · Computer Science 2020-04-20 Majid Janzamin , Rong Ge , Jean Kossaifi , Anima Anandkumar

Principal component analysis (PCA) is a classical and ubiquitous method for reducing data dimensionality, but it is suboptimal for heterogeneous data that are increasingly common in modern applications. PCA treats all samples uniformly so…

Statistics Theory · Mathematics 2021-12-02 David Hong , Kyle Gilman , Laura Balzano , Jeffrey A. Fessler

Global motion compensation (GMC) removes the impact of camera motion and creates a video in which the background appears static over the progression of time. Various vision problems, such as human activity recognition, background…

Computer Vision and Pattern Recognition · Computer Science 2016-03-15 S. Morteza Safdarnejad , Yousef Atoum , Xiaoming Liu