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相关论文: Augmented Robust PCA For Foreground-Background Sep…

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In this work, we study the online robust principal components' analysis (RPCA) problem. In recent work, RPCA has been defined as a problem of separating a low-rank matrix (true data), $L$, and a sparse matrix (outliers), $S$, from their…

信息论 · 计算机科学 2016-02-01 Jinchun Zhan , Brian Lois , Namrata Vaswani

Principal component analysis (PCA) is one of the most widely used dimension reduction and multivariate statistical techniques. From a probabilistic perspective, PCA seeks a low-dimensional representation of data in the presence of…

机器学习 · 计算机科学 2021-01-06 Chihao Zhang , Kuo Gai , Shihua Zhang

We propose a novel method to accurately reconstruct a set of images representing a single scene from few linear multi-view measurements. Each observed image is modeled as the sum of a background image and a foreground one. The background…

计算机视觉与模式识别 · 计算机科学 2013-09-19 Gilles Puy , Pierre Vandergheynst

This paper introduces an unsupervised framework to extract semantically rich features for video representation. Inspired by how the human visual system groups objects based on motion cues, we propose a deep convolutional neural network that…

计算机视觉与模式识别 · 计算机科学 2017-07-18 Xunyu Lin , Victor Campos , Xavier Giro-i-Nieto , Jordi Torres , Cristian Canton Ferrer

Low-light imaging on mobile devices is typically challenging due to insufficient incident light coming through the relatively small aperture, resulting in a low signal-to-noise ratio. Most of the previous works on low-light image processing…

图像与视频处理 · 电气工程与系统科学 2022-09-05 Yucheng Lu , Seung-Won Jung

Principal Component Analysis (PCA) is a classical method for reducing the dimensionality of data by projecting them onto a subspace that captures most of their variation. Effective use of PCA in modern applications requires understanding…

统计理论 · 数学 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

This work studies the recursive robust principal components analysis (PCA) problem. If the outlier is the signal-of-interest, this problem can be interpreted as one of recursively recovering a time sequence of sparse vectors, $S_t$, in the…

信息论 · 计算机科学 2014-03-28 Chenlu Qiu , Namrata Vaswani , Brian Lois , Leslie Hogben

This paper introduces a novel methodology of adapting the representation of videos based on the dynamics of their scene content variation. In particular, we demonstrate how the clustering of dynamic mode decomposition eigenvalues can be…

计算机视觉与模式识别 · 计算机科学 2025-10-08 Owen T. Huber , Raghu G. Raj , Tianyu Chen , Zacharie I. Idriss

We consider the following multi-component sparse PCA problem: given a set of data points, we seek to extract a small number of sparse components with disjoint supports that jointly capture the maximum possible variance. These components can…

Lacking rich and realistic data, learned single image denoising algorithms generalize poorly to real raw images that do not resemble the data used for training. Although the problem can be alleviated by the heteroscedastic Gaussian model…

图像与视频处理 · 电气工程与系统科学 2020-04-10 Kaixuan Wei , Ying Fu , Jiaolong Yang , Hua Huang

Extracting accurate foreground objects from a scene is an essential step for many video applications. Traditional background subtraction algorithms can generate coarse estimates, but generating high quality masks requires professional…

计算机视觉与模式识别 · 计算机科学 2020-09-29 Xiran Wang , Jason Juang , Stanley H. Chan

A general framework for principal component analysis (PCA) in the presence of heteroskedastic noise is introduced. We propose an algorithm called HeteroPCA, which involves iteratively imputing the diagonal entries of the sample covariance…

统计理论 · 数学 2021-04-02 Anru R. Zhang , T. Tony Cai , Yihong Wu

Although it has been widely discussed in video surveillance, background subtraction is still an open problem in the context of complex scenarios, e.g., dynamic backgrounds, illumination variations, and indistinct foreground objects. To…

计算机视觉与模式识别 · 计算机科学 2015-02-03 Liang Lin , Yuanlu Xu , Xiaodan Liang , Jianhuang Lai

An increasing number of data science and machine learning problems rely on computation with tensors, which better capture the multi-way relationships and interactions of data than matrices. When tapping into this critical advantage, a key…

机器学习 · 统计学 2023-02-23 Harry Dong , Tian Tong , Cong Ma , Yuejie Chi

Principal component analysis (PCA) is one of the most fundamental tools in machine learning with broad use as a dimensionality reduction and denoising tool. In the later setting, while PCA is known to be effective at subspace recovery and…

机器学习 · 计算机科学 2024-04-23 Chandra Sekhar Mukherjee , Nikhil Doerkar , Jiapeng Zhang

Static scene videos, such as surveillance feeds and videotelephony streams, constitute a dominant share of storage consumption and network traffic. However, both traditional standardized codecs and neural video compression (NVC) methods…

图像与视频处理 · 电气工程与系统科学 2026-03-30 Cheng Yuan , Zhenyu Jia , Jiawei Shao , Xuelong Li

High-dimensional data often exhibit dependencies among variables that violate the isotropic-noise assumption under which principal component analysis (PCA) is optimal. For cases where the noise is not independent and identically distributed…

Robust PCA has drawn significant attention in the last decade due to its success in numerous application domains, ranging from bio-informatics, statistics, and machine learning to image and video processing in computer vision. Robust PCA…

最优化与控制 · 数学 2018-06-12 Shiqian Ma , Necdet Serhat Aybat

Dictionary learning and component analysis models are fundamental for learning compact representations that are relevant to a given task (feature extraction, dimensionality reduction, denoising, etc.). The model complexity is encoded by…

机器学习 · 统计学 2018-11-13 Mehdi Bahri , Yannis Panagakis , Stefanos Zafeiriou

Image/video denoising in low-light scenes is an extremely challenging problem due to limited photon count and high noise. In this paper, we propose a novel approach with contrastive learning to address this issue. Inspired by the success of…

计算机视觉与模式识别 · 计算机科学 2023-05-08 Taoyong Cui , Yuhan Dong