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Low-rank and sparse decomposition based methods find their use in many applications involving background modeling such as clutter suppression and object tracking. While Robust Principal Component Analysis (RPCA) has achieved great success…

计算机视觉与模式识别 · 计算机科学 2022-11-08 Shoaib Imran , Muhammad Tahir , Zubair Khalid , Momin Uppal

We design algorithms for Robust Principal Component Analysis (RPCA) which consists in decomposing a matrix into the sum of a low rank matrix and a sparse matrix. We propose a deep unrolled algorithm based on an accelerated alternating…

信号处理 · 电气工程与系统科学 2023-07-13 Elizabeth Z. C. Tan , Caroline Chaux , Emmanuel Soubies , Vincent Y. F. Tan

Robust principal component analysis (RPCA) is a critical tool in modern machine learning, which detects outliers in the task of low-rank matrix reconstruction. In this paper, we propose a scalable and learnable non-convex approach for…

机器学习 · 计算机科学 2023-02-28 HanQin Cai , Jialin Liu , Wotao Yin

Foreground detection in a given video sequence is a pivotal step in many computer vision applications such as video surveillance system. Robust Principal Component Analysis (RPCA) performs low-rank and sparse decomposition and accomplishes…

计算机视觉与模式识别 · 计算机科学 2019-09-19 Amirhossein Khalilian-Gourtani , Shervin Minaee , Yao Wang

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…

计算机视觉与模式识别 · 计算机科学 2025-07-15 Zihao Xiong , Fei Zhou , Fengyi Wu , Shuai Yuan , Maixia Fu , Zhenming Peng , Jian Yang , Yimian Dai

Tensor robust principal component analysis (RPCA), which seeks to separate a low-rank tensor from its sparse corruptions, has been crucial in data science and machine learning where tensor structures are becoming more prevalent. While…

机器学习 · 统计学 2022-12-23 Harry Dong , Megna Shah , Sean Donegan , Yuejie Chi

Variational methods are widely applied to ill-posed inverse problems for they have the ability to embed prior knowledge about the solution. However, the level of performance of these methods significantly depends on a set of parameters,…

In the context of online Robust Principle Component Analysis (RPCA) for the video foreground-background separation, we propose a compressive online RPCA with optical flow that separates recursively a sequence of frames into sparse…

计算机视觉与模式识别 · 计算机科学 2017-10-26 Srivatsa Prativadibhayankaram , Huynh Van Luong , Thanh-Ha Le , Andre Kaup

Deep unrolling, or unfolding, is an emerging learning-to-optimize method that unrolls a truncated iterative algorithm in the layers of a trainable neural network. However, the convergence guarantees and generalizability of the unrolled…

机器学习 · 计算机科学 2024-12-02 Samar Hadou , Navid NaderiAlizadeh , Alejandro Ribeiro

Deep unfolding methods---for example, the learned iterative shrinkage thresholding algorithm (LISTA)---design deep neural networks as learned variations of optimization methods. These networks have been shown to achieve faster convergence…

机器学习 · 计算机科学 2020-03-19 Huynh Van Luong , Boris Joukovsky , Nikos Deligiannis

Robust principal component analysis (RPCA) seeks a low-rank component and a sparse component from their summation. Yet, in many applications of interest, the sparse foreground actually replaces, or occludes, elements from the low-rank…

计算机视觉与模式识别 · 计算机科学 2026-04-23 Yinjian Wang , Wei Li , Yuanyuan Gui , James E. Fowler , Gemine Vivone

Video decomposition is very important to extract moving foreground objects from complex backgrounds in computer vision, machine learning, and medical imaging, e.g., extracting moving contrast-filled vessels from the complex and noisy…

计算机视觉与模式识别 · 计算机科学 2022-05-09 Binjie Qin , Haohao Mao , Ruipeng Zhang , Yueqi Zhu , Song Ding , Xu Chen

Background foreground separation (BFS) is a popular computer vision problem where dynamic foreground objects are separated from the static background of a scene. Typically, this is performed using consumer cameras because of their low cost,…

图像与视频处理 · 电气工程与系统科学 2021-08-16 Spencer Markowitz , Corey Snyder , Yonina C. Eldar , Minh N. Do

The reconstruction of a high resolution image given a low resolution observation is an ill-posed inverse problem in imaging. Deep learning methods rely on training data to learn an end-to-end mapping from a low-resolution input to a…

图像与视频处理 · 电气工程与系统科学 2023-07-19 Iman Marivani , Evaggelia Tsiligianni , Bruno Cornelis , Nikos Deligiannis

In this paper, we consider deep neural networks for solving inverse problems that are robust to forward model mis-specifications. Specifically, we treat sensing problems with model mismatch where one wishes to recover a sparse…

机器学习 · 计算机科学 2021-10-22 Wei Pu , Chao Zhou , Yonina C. Eldar , Miguel R. D. Rodrigues

We propose a new deep recurrent neural network (RNN) architecture for sequential signal reconstruction. Our network is designed by unfolding the iterations of the proximal gradient method that solves the l1-l1 minimization problem. As such,…

机器学习 · 计算机科学 2019-02-19 Hung Duy Le , Huynh Van Luong , Nikos Deligiannis

Deep learning (DL) networks have achieved remarkable performance in infrared small target detection (ISTD). However, these structures exhibit a deficiency in interpretability and are widely regarded as black boxes, as they disregard domain…

计算机视觉与模式识别 · 计算机科学 2023-11-03 Fengyi Wu , Tianfang Zhang , Lei Li , Yian Huang , Zhenming Peng

Robust principal component analysis (RPCA) decomposes an observation matrix into low-rank background and sparse object components. This capability has enabled its application in tasks ranging from image restoration to segmentation. However,…

计算机视觉与模式识别 · 计算机科学 2025-08-07 Fengyi Wu , Yimian Dai , Tianfang Zhang , Yixuan Ding , Jian Yang , Ming-Ming Cheng , Zhenming Peng

Video background subtraction is one of the fundamental problems in computer vision that aims to segment all moving objects. Robust principal component analysis has been identified as a promising unsupervised paradigm for background…

计算机视觉与模式识别 · 计算机科学 2023-09-28 Basit Alawode , Sajid Javed

Despite a lack of theoretical understanding, deep neural networks have achieved unparalleled performance in a wide range of applications. On the other hand, shallow representation learning with component analysis is associated with rich…

机器学习 · 计算机科学 2018-03-20 Calvin Murdock , Ming-Fang Chang , Simon Lucey
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