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Robust principal component analysis (RPCA) is a widely used technique for recovering low-rank structure from matrices with missing entries and sparse, possibly large-magnitude corruptions. Although numerous algorithms achieve accurate point…

统计方法学 · 统计学 2026-03-17 Liangliang Yuan , Lei Wang , Quan Kong , Liuhua Peng

With the growing popularity of smartphones, capturing high-quality images is of vital importance to smartphones. The cameras of smartphones have small apertures and small sensor cells, which lead to the noisy images in low light…

图像与视频处理 · 电气工程与系统科学 2022-08-15 Dasong Li , Yi Zhang , Ka Lung Law , Xiaogang Wang , Hongwei Qin , Hongsheng Li

PCA is a classical statistical technique whose simplicity and maturity has seen it find widespread use as an anomaly detection technique. However, it is limited in this regard by being sensitive to gross perturbations of the input, and by…

机器学习 · 计算机科学 2017-08-01 Raghavendra Chalapathy , Aditya Krishna Menon , Sanjay Chawla

An increasing number of methods for background subtraction use Robust PCA to identify sparse foreground objects. While many algorithms use the L1-norm as a convex relaxation of the ideal sparsifying function, we approach the problem with a…

计算机视觉与模式识别 · 计算机科学 2013-03-29 Florian Seidel , Clemens Hage , Martin Kleinsteuber

This work obtains novel finite sample guarantees for Principal Component Analysis (PCA). These hold even when the corrupting noise is non-isotropic, and a part (or all of it) is data-dependent. Because of the latter, in general, the noise…

机器学习 · 统计学 2017-09-20 Namrata Vaswani , Praneeth Narayanamurthy

We revisit the problem of robust principal component analysis with features acting as prior side information. To this aim, a novel, elegant, non-convex optimization approach is proposed to decompose a given observation matrix into a…

机器学习 · 统计学 2017-09-15 Niannan Xue , Jiankang Deng , Yannis Panagakis , Stefanos Zafeiriou

A compressive sensing method combined with decomposition of a matrix formed with image frames of a surveillance video into low rank and sparse matrices is proposed to segment the background and extract moving objects in a surveillance…

计算机视觉与模式识别 · 计算机科学 2013-02-11 Hong Jiang , Wei Deng , Zuowei Shen

Principal component analysis (PCA) is known to be sensitive to outliers, so that various robust PCA variants were proposed in the literature. A recent model, called REAPER, aims to find the principal components by solving a convex…

数值分析 · 数学 2021-03-19 Robert Beinert , Gabriele Steidl

We address the problem of reconstructing and analyzing surveillance videos using compressive sensing. We develop a new method that performs video reconstruction by low rank and sparse decomposition adaptively. Background subtraction becomes…

信息论 · 计算机科学 2016-11-17 Fei Yang , Hong Jiang , Zuowei Shen , Wei Deng , Dimitris Metaxas

High-dimensional data often contain low-dimensional signals obscured by structured background noise, which limits the effectiveness of standard PCA. Motivated by contrastive learning, we address the problem of recovering shared signal…

机器学习 · 统计学 2025-11-18 Mingqi Wu , Qiang Sun , Yi Yang

Denoising is one of the fundamental steps of the processing pipeline that converts data captured by a camera sensor into a display-ready image or video. It is generally performed early in the pipeline, usually before demosaicking, although…

图像与视频处理 · 电气工程与系统科学 2024-12-02 Marco Sánchez-Beeckman , Antoni Buades , Nicola Brandonisio , Bilel Kanoun

Real-world imaging systems acquire measurements that are degraded by noise, optical aberrations, and other imperfections that make image processing for human viewing and higher-level perception tasks challenging. Conventional cameras…

计算机视觉与模式识别 · 计算机科学 2021-05-11 Steven Diamond , Vincent Sitzmann , Frank Julca-Aguilar , Stephen Boyd , Gordon Wetzstein , Felix Heide

We propose an algorithm for separating the foreground (mainly text and line graphics) from the smoothly varying background in screen content images. The proposed method is designed based on the assumption that the background part of the…

计算机视觉与模式识别 · 计算机科学 2015-02-20 Shervin Minaee , Yao Wang

Video denoising for raw image has always been the difficulty of camera image processing. On the one hand, image denoising performance largely determines the image quality, moreover denoising effect in raw image will affect the accuracy of…

图像与视频处理 · 电气工程与系统科学 2022-09-07 Bin Ma , Yueli Hu , Xianxian Lv , Kai Li

Robust tensor CP decomposition involves decomposing a tensor into low rank and sparse components. We propose a novel non-convex iterative algorithm with guaranteed recovery. It alternates between low-rank CP decomposition through gradient…

机器学习 · 计算机科学 2016-04-28 Animashree Anandkumar , Prateek Jain , Yang Shi , U. N. Niranjan

How to efficiently utilize the temporal features is crucial, yet challenging, for video restoration. The temporal features usually contain various noisy and uncorrelated information, and they may interfere with the restoration of the…

计算机视觉与模式识别 · 计算机科学 2022-04-12 Cong Huang , Jiahao Li , Bin Li , Dong Liu , Yan Lu

This work is concerned with the recovery of piecewise constant images from noisy linear measurements. We study the noise robustness of a variational reconstruction method, which is based on total (gradient) variation regularization. We show…

数值分析 · 数学 2025-07-08 Yohann De Castro , Vincent Duval , Romain Petit

Moving object detection and its associated background-foreground separation have been widely used in a lot of applications, including computer vision, transportation and surveillance. Due to the presence of the static background, a video…

计算机视觉与模式识别 · 计算机科学 2022-04-27 Jing Qin , Ruilong Shen , Ruihan Zhu , Biyun Xie

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…

统计理论 · 数学 2021-12-02 David Hong , Kyle Gilman , Laura Balzano , Jeffrey A. Fessler

Automating the analysis of surveillance video footage is of great interest when urban environments or industrial sites are monitored by a large number of cameras. As anomalies are often context-specific, it is hard to predefine events of…

计算机视觉与模式识别 · 计算机科学 2020-11-13 Bo Li , Sam Leroux , Pieter Simoens