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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…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Sheng Liu , Xiaozhen Xie , Wenfeng Kong

Tensor decomposition is an effective tool for learning multi-way structures and heterogeneous features from high-dimensional data, such as the multi-view images and multichannel electroencephalography (EEG) signals, are often represented by…

Machine Learning · Computer Science 2022-06-29 Wanguang Yin , Youzhi Qu , Zhengming Ma , Quanying Liu

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)…

Image and Video Processing · Electrical Eng. & Systems 2023-10-17 Jun Zhang , Lipeng Zhu , Chao Wang , Shutao Li

Low-rank approximation of images via singular value decomposition is well-received in the era of big data. However, singular value decomposition (SVD) is only for order-two data, i.e., matrices. It is necessary to flatten a higher order…

Machine Learning · Computer Science 2022-08-26 Liang Liao , Sen Lin , Lun Li , Xiuwei Zhang , Song Zhao , Yan Wang , Xinqiang Wang , Qi Gao , Jingyu Wang

In this paper we propose novel methods for compression and recovery of multilinear data under limited sampling. We exploit the recently proposed tensor- Singular Value Decomposition (t-SVD)[1], which is a group theoretic framework for…

Information Theory · Computer Science 2013-11-01 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

Hyperspectral super-resolution (HSR) aims at fusing a hyperspectral image (HSI) and a multispectral image (MSI) to produce a super-resolution image (SRI). Recently, a coupled tensor factorization approach was proposed to handle this…

Signal Processing · Electrical Eng. & Systems 2019-10-24 Guoyong Zhang , Xiao Fu , Kejun Huang , Jun Wang

Hyperspectral image (HSI) denoising is an essential procedure for HSI applications. Unfortunately, the existing Transformer-based methods mainly focus on non-local modeling, neglecting the importance of locality in image denoising.…

Image and Video Processing · Electrical Eng. & Systems 2024-08-05 Hao Liang , Chengjie , Kun Li , Xin Tian

Hyperspectral super-resolution refers to the problem of fusing a hyperspectral image (HSI) and a multispectral image (MSI) to produce a super-resolution image (SRI) that has fine spatial and spectral resolution. State-of-the-art methods…

Signal Processing · Electrical Eng. & Systems 2018-12-05 Charilaos I. Kanatsoulis , Xiao Fu , Nicholas D. Sidiropoulos , Wing-Kin Ma

Hyperspectral image (HSI) recovery, as an upstream image processing task, holds significant importance for downstream tasks such as classification, segmentation, and detection. In recent years, HSI recovery methods based on non-local prior…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Zhuoran Peng , Yiqing Shen

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…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Liang Li , Jianli Zhao , Sheng Fang , Siyu Chen , Hui Sun

Higher-order singular value decomposition (HOSVD) is a celebrated tool for tensor data analysis. The sequential HOSVD was recently generalized to the quaternion domain, while a naive quaternion extension of the classical HOSVD% by De…

Numerical Analysis · Mathematics 2025-06-26 Hanxin Ya , Yuning Yang

Nonnegative matrix factorization (NMF) has found many applications including topic modeling and document analysis. Hierarchical NMF (HNMF) variants are able to learn topics at various levels of granularity and illustrate their hierarchical…

Machine Learning · Computer Science 2022-02-16 Joshua Vendrow , Jamie Haddock , Deanna Needell

Hyperspectral super-resolution (HSR) fuses a low-resolution hyperspectral image (HSI) and a high-resolution multispectral image (MSI) to obtain a high-resolution HSI (HR-HSI). In this paper, we propose a new model, named coupled tensor ring…

Image and Video Processing · Electrical Eng. & Systems 2020-01-07 Wei He , Yong Chen , Naoto Yokoya , Chao Li , Qibin Zhao

Hyperspectral image (HSI) denoising is a crucial preprocessing procedure to improve the performance of the subsequent HSI interpretation and applications. In this paper, a novel deep learning-based method for this task is proposed, by…

Computer Vision and Pattern Recognition · Computer Science 2018-08-14 Qiangqiang Yuan , Qiang Zhang , Jie Li , Huanfeng Shen , Liangpei Zhang

The advancement of imaging devices and countless image data generated everyday impose an increasingly high demand on efficient and effective image denoising. In this paper, we present a computationally simple denoising algorithm, termed…

Image and Video Processing · Electrical Eng. & Systems 2025-08-15 Zhaoming Kong , Jiahuan Zhang , Xiaowei Yang

Higher-order singular value decomposition (HOSVD) is one of the most efficient tensor decomposition techniques. It has the salient ability to represent high_dimensional data and extract features. In more recent years, the quaternion has…

Image and Video Processing · Electrical Eng. & Systems 2021-01-05 Jifei Miao , Kit Ian Kou

Recently, the low-rank property of different components extracted from the image has been considered in man hyperspectral image denoising methods. However, these methods usually unfold the 3D tensor to 2D matrix or 1D vector to exploit the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Hang Zhou , Yanchi Su , Zhanshan Li

To analyze the abundance of multidimensional data, tensor-based frameworks have been developed. Traditionally, the matrix singular value decomposition (SVD) is used to extract the most dominant features from a matrix containing the…

Machine Learning · Computer Science 2021-11-02 Katherine Keegan , Tanvi Vishwanath , Yihua Xu

The widespread use of multisensor technology and the emergence of big datasets have created the need to develop tools to reduce, approximate, and classify large and multimodal data such as higher-order tensors. While early approaches…

Numerical Analysis · Computer Science 2018-07-03 Alp Ozdemir , Ali Zare , Mark A. Iwen , Selin Aviyente

Singular value decomposition (SVD) is a widely used technique for dimensionality reduction and computation of basis vectors. In many applications, especially in fluid mechanics and image processing the matrices are dense, but low-rank…

Numerical Analysis · Computer Science 2019-05-13 Vinita Vasudevan , M. Ramakrishna
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