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Robust principal component analysis (RPCA) can recover low-rank matrices when they are corrupted by sparse noises. In practice, many matrices are, however, of high-rank and hence cannot be recovered by RPCA. We propose a novel method called…

机器学习 · 计算机科学 2019-04-19 Jicong Fan , Tommy W. S. Chow

Hyperspectral images (HSIs) are often degraded by complex mixed noise during acquisition and transmission, making effective denoising essential for subsequent analysis. Recent hybrid approaches that bridge model-driven and data-driven…

计算机视觉与模式识别 · 计算机科学 2025-06-04 Liang Li , Jianli Zhao , Sheng Fang , Siyu Chen , Hui Sun

Denoising is a crucial step for hyperspectral image (HSI) applications. Though witnessing the great power of deep learning, existing HSI denoising methods suffer from limitations in capturing the non-local self-similarity. Transformers have…

计算机视觉与模式识别 · 计算机科学 2023-04-04 Miaoyu Li , Ji Liu , Ying Fu , Yulun Zhang , Dejing Dou

Low-rank and sparse decompositions and robust PCA (RPCA) are highly successful techniques in image processing and have recently found use in groupwise image registration. In this paper, we investigate the drawbacks of the most common…

计算机视觉与模式识别 · 计算机科学 2020-01-13 Roland Haase , Stefan Heldmann , Jan Lellmann

Robust principal component analysis (RPCA) is a well-studied problem with the goal of decomposing a matrix into the sum of low-rank and sparse components. In this paper, we propose a nonconvex feasibility reformulation of RPCA problem and…

最优化与控制 · 数学 2020-01-27 Aritra Dutta , Filip Hanzely , Peter Richtárik

Robust Principal Component Analysis (RPCA) aims to recover a low-rank structure from noisy, partially observed data that is also corrupted by sparse, potentially large-magnitude outliers. Traditional RPCA models rely on convex relaxations,…

机器学习 · 统计学 2025-10-07 Kun Zhao , Haoke Zhang , Jiayi Wang , Yifei Lou

Hyperspectral (HS) unmixing is the process of decomposing an HS image into material-specific spectra (endmembers) and their spatial distributions (abundance maps). Existing unmixing methods have two limitations with respect to noise…

图像与视频处理 · 电气工程与系统科学 2024-03-20 Kazuki Naganuma , Shunsuke Ono

The low-complexity assumption in linear systems can often be expressed as rank deficiency in data matrices with generalized Hankel structure. This makes it possible to denoise the data by estimating the underlying structured low-rank…

系统与控制 · 电气工程与系统科学 2021-11-10 Mingzhou Yin , Roy S. Smith

Hyperspectral image (HSI) denoising has been attracting much research attention in remote sensing area due to its importance in improving the HSI qualities. The existing HSI denoising methods mainly focus on specific spectral and spatial…

计算机视觉与模式识别 · 计算机科学 2017-02-02 Yang Chen , Xiangyong Cao , Qian Zhao , Deyu Meng , Zongben Xu

The core challenge of hyperspectral image denoising is striking the right balance between data fidelity and noise prior modeling. Most existing methods place too much emphasis on the intrinsic priors of the image while overlooking diverse…

计算机视觉与模式识别 · 计算机科学 2026-04-22 Xuelin Xie , Xiliang Lu , Zhengshan Wang , Yang Zhang , Long Chen

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

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

As an unsupervised dimensionality reduction method, principal component analysis (PCA) has been widely considered as an efficient and effective preprocessing step for hyperspectral image (HSI) processing and analysis tasks. It takes each…

计算机视觉与模式识别 · 计算机科学 2018-09-18 Junjun Jiang , Jiayi Ma , Chen Chen , Zhongyuan Wang , Zhihua Cai , Lizhe Wang

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

Hyperspectral images (HSIs) usually suffer from different types of pollution. This severely reduces the quality of HSIs and limits the accuracy of subsequent processing tasks. HSI denoising can be modeled as a low-rank tensor denoising…

计算机视觉与模式识别 · 计算机科学 2022-06-22 Sheng Liu , Xiaozhen Xie , Wenfeng Kong

Photon-limited imaging arises when the number of photons collected by a sensor array is small relative to the number of detector elements. Photon limitations are an important concern for many applications such as spectral imaging, night…

计算机视觉与模式识别 · 计算机科学 2014-04-29 Joseph Salmon , Zachary Harmany , Charles-Alban Deledalle , Rebecca Willett

Spectral variations pose a common challenge in analyzing hyperspectral images (HSI). To address this, low-rank tensor representation has emerged as a robust strategy, leveraging inherent correlations within HSI data. However, the spatial…

计算机视觉与模式识别 · 计算机科学 2025-05-20 Bo Han , Yuheng Jia , Hui Liu , Junhui Hou

Integrating a low-spatial-resolution hyperspectral image (LR-HSI) with a high-spatial-resolution multispectral image (HR-MSI) is recognized as a valid method for acquiring HR-HSI. Among the current fusion approaches, the tensor ring (TR)…

图像与视频处理 · 电气工程与系统科学 2023-10-17 Jun Zhang , Lipeng Zhu , Chao Wang , Shutao Li

In this paper, we propose a non-convex formulation to recover the authentic structure from the corrupted real data. Typically, the specific structure is assumed to be low rank, which holds for a wide range of data, such as images and…

计算机视觉与模式识别 · 计算机科学 2016-08-23 Jing Wang , Meng Wang , Xuegang Hu , Shuicheng Yan

This paper tackles the challenging problem of hyperspectral (HS) image denoising. Unlike existing deep learning-based methods usually adopting complicated network architectures or empirically stacking off-the-shelf modules to pursue…

图像与视频处理 · 电气工程与系统科学 2022-07-12 Jinhui Hou , Zhiyu Zhu , Hui Liu , Junhui Hou