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Independent component analysis (ICA) aims at decomposing an observed random vector into statistically independent variables. Deflation-based implementations, such as the popular one-unit FastICA algorithm and its variants, extract the…

Machine Learning · Statistics 2016-11-15 Vicente Zarzoso , Pierre Comon

The network traffic matrix is widely used in network operation and management. It is therefore of crucial importance to analyze the components and the structure of the network traffic matrix, for which several mathematical approaches such…

Networking and Internet Architecture · Computer Science 2015-03-19 Zhe Wang , Kai Hu , Ke Xu , Baolin Yin , Xiaowen Dong

Video sequences often contain structured noise and background artifacts that obscure dynamic content, posing challenges for accurate analysis and restoration. Robust principal component methods address this by decomposing data into low-rank…

Computer Vision and Pattern Recognition · Computer Science 2026-04-27 Tristan S. W. Stevens , Oisín Nolan , Jean-Luc Robert , Ruud J. G. van Sloun

Previous versions of sparse principal component analysis (PCA) have presumed that the eigen-basis (a $p \times k$ matrix) is approximately sparse. We propose a method that presumes the $p \times k$ matrix becomes approximately sparse after…

Machine Learning · Statistics 2023-08-07 Fan Chen , Karl Rohe

Natural scene character recognition is challenging due to the cluttered background, which is hard to separate from text. In this paper, we propose a novel method for robust scene character recognition. Specifically, we first use robust…

Computer Vision and Pattern Recognition · Computer Science 2016-06-16 Zheng Zhang , Yong Xu , Cheng-Lin Liu

Principal component analysis (PCA) is a widely used dimension reduction technique in machine learning and multivariate statistics. To improve the interpretability of PCA, various approaches to obtain sparse principal direction loadings have…

Data Structures and Algorithms · Computer Science 2021-06-07 Agniva Chowdhury , Petros Drineas , David P. Woodruff , Samson Zhou

The extraction of contrast-filled vessels from X-ray coronary angiography (XCA) image sequence has important clinical significance for intuitively diagnosis and therapy. In this study, the XCA image sequence is regarded as a 3D tensor…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Zeyu Fu , Zhuang Fu , Chenzhuo Lu , Jun Yan , Jian Fei , Hui Han

Optical flow estimation in the rainy scenes is challenging due to background degradation introduced by rain streaks and rain accumulation effects in the scene. Rain accumulation effect refers to poor visibility of remote objects due to the…

Computer Vision and Pattern Recognition · Computer Science 2017-11-29 Ruoteng Li , Robby T. Tan , Loong-Fah Cheong

Dimension reduction is useful for exploratory data analysis. In many applications, it is of interest to discover variation that is enriched in a "foreground" dataset relative to a "background" dataset. Recently, contrastive principal…

Methodology · Statistics 2021-05-04 Didong Li , Andrew Jones , Barbara Engelhardt

Principal component analysis (PCA) is a widely used method for data processing, such as for dimension reduction and visualization. Standard PCA is known to be sensitive to outliers, and thus, various robust PCA methods have been proposed.…

Machine Learning · Statistics 2020-08-11 Keishi Sando , Hideitsu Hino

Video rain/snow removal from surveillance videos is an important task in the computer vision community since rain/snow existed in videos can severely degenerate the performance of many surveillance system. Various methods have been…

Computer Vision and Pattern Recognition · Computer Science 2019-09-16 Minghan Li , Xiangyong Cao , Qian Zhao , Lei Zhang , Chenqiang Gao , Deyu Meng

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

We propose a new sparse principal component analysis (SPCA) method in which the solutions are obtained by projecting the full cardinality principal components onto subsets of variables. The resulting components are guaranteed to explain a…

Methodology · Statistics 2019-10-09 Giovanni Maria Merola

Successive frames of a video are highly redundant, and the most popular object detection methods do not take advantage of this fact. Using multiple consecutive frames can improve detection of small objects or difficult examples and can…

Computer Vision and Pattern Recognition · Computer Science 2019-03-29 Hughes Perreault , Guillaume-Alexandre Bilodeau , Nicolas Saunier , Pierre Gravel

In recent years, many deep learning-based methods have been proposed to tackle the problem of optical flow estimation and achieved promising results. However, they hardly consider that most videos are compressed and thus ignore the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-07 Shili Zhou , Xuhao Jiang , Weimin Tan , Ruian He , Bo Yan

In this paper, we propose a novel approach named by Discriminative Principal Component Analysis which is abbreviated as Discriminative PCA in order to enhance separability of PCA by Linear Discriminant Analysis (LDA). The proposed method…

Computer Vision and Pattern Recognition · Computer Science 2019-03-13 Hanli Qiao

Infrared small target detection plays a vital role in remote sensing, industrial monitoring, and various civilian applications. Despite recent progress powered by deep learning, many end-to-end convolutional models tend to pursue…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Zihao Xiong , Fei Zhou , Fengyi Wu , Shuai Yuan , Maixia Fu , Zhenming Peng , Jian Yang , Yimian Dai

This paper introduces a framework for super-resolution of scalable video based on compressive sensing and sparse representation of residual frames in reconnaissance and surveillance applications. We exploit efficient compressive sampling…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Mohammad Hossein Moghaddam , Mohammad Javad Azizipour , Saeed Vahidian , Besma Smida

In this paper, we present a new method for detecting road users in an urban environment which leads to an improvement in multiple object tracking. Our method takes as an input a foreground image and improves the object detection and…

Computer Vision and Pattern Recognition · Computer Science 2018-01-30 David-Alexandre Beaupré , Guillaume-Alexandre Bilodeau , Nicolas Saunier

Background/foreground segmentation has a lot of applications in image and video processing. In this paper, a segmentation algorithm is proposed which is mainly designed for text and line extraction in screen content. The proposed method…

Computer Vision and Pattern Recognition · Computer Science 2015-09-02 Shervin Minaee , Haoping Yu , Yao Wang
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