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This work considers low-rank canonical polyadic decomposition (CPD) under a class of non-Euclidean loss functions that frequently arise in statistical machine learning and signal processing. These loss functions are often used for certain…

Machine Learning · Statistics 2022-05-11 Wenqiang Pu , Shahana Ibrahim , Xiao Fu , Mingyi Hong

Inpainting-based codecs store sparse selected pixel data and decode by reconstructing the discarded image parts by inpainting. Successful codecs (coders and decoders) traditionally use inpainting operators that solve partial differential…

Image and Video Processing · Electrical Eng. & Systems 2024-06-21 Rahul Mohideen Kaja Mohideen , Tobias Alt , Pascal Peter , Joachim Weickert

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

Deep Learning could drastically boost the classification accuracy for Hyperspectral Imaging (HSI). Still, the training on the mostly small hyperspectral data sets is not trivial. Two key challenges are the large channel dimension of the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Leon Amadeus Varga , Martin Messmer , Nuri Benbarka , Andreas Zell

The Hadamard decomposition is a powerful technique for data analysis and matrix compression, which decomposes a given matrix into the element-wise product of two or more low-rank matrices. In this paper, we develop an efficient algorithm to…

Machine Learning · Computer Science 2025-04-23 Samuel Wertz , Arnaud Vandaele , Nicolas Gillis

In this paper, we propose an alternating directional 3D quasi-recurrent neural network for hyperspectral image (HSI) denoising, which can effectively embed the domain knowledge -- structural spatio-spectral correlation and global…

Computer Vision and Pattern Recognition · Computer Science 2020-03-11 Kaixuan Wei , Ying Fu , Hua Huang

Hyperspectral imaging measures the amount of electromagnetic energy across the instantaneous field of view at a very high resolution in hundreds or thousands of spectral channels. This enables objects to be detected and the identification…

Image and Video Processing · Electrical Eng. & Systems 2021-03-15 Lina Zhuang , Lianru Gao , Bing Zhang , Xiyou Fu , Jose M. Bioucas-Dias

Recent studies try to use hyperspectral imaging (HSI) to detect foreign matters in products because it enables to visualize the invisible wavelengths including ultraviolet and infrared. Considering the enormous image channels of the HSI,…

Computer Vision and Pattern Recognition · Computer Science 2024-01-10 Dongeon Kim , YeongHyeon Park

The Canonical Polyadic decomposition (CPD) is a convenient and intuitive tool for tensor factorization; however, for higher-order tensors, it often exhibits high computational cost and permutation of tensor entries, these undesirable…

Numerical Analysis · Computer Science 2018-09-05 Anh-Huy Phan , Andrzej Cichocki , Ivan Oseledets , Salman Ahmadi Asl , Giuseppe Calvi , Danilo Mandic

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…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Bo Han , Yuheng Jia , Hui Liu , Junhui Hou

Many algorithms have been developed to solve the inverse problem of coded aperture snapshot spectral imaging (CASSI), i.e., recovering the 3D hyperspectral images (HSIs) from a 2D compressive measurement. In recent years, learning-based…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Yuanhao Cai , Jing Lin , Xiaowan Hu , Haoqian Wang , Xin Yuan , Yulun Zhang , Radu Timofte , Luc Van Gool

Image-based anomaly detection systems are of vital importance in various manufacturing applications. The resolution and acquisition rate of such systems is increasing significantly in recent years under the fast development of image sensing…

Image and Video Processing · Electrical Eng. & Systems 2022-07-19 Shancong Mou , Jianjun Shi

Hyperspectral image (HSI) super-resolution is commonly used to overcome the hardware limitations of existing hyperspectral imaging systems on spatial resolution. It fuses a low-resolution (LR) HSI and a high-resolution (HR) conventional…

Image and Video Processing · Electrical Eng. & Systems 2021-04-27 Xiuheng Wang , Jie Chen , Qi Wei , Cédric Richard

This paper presents a variational based approach to fusing hyperspectral and multispectral images. The fusion process is formulated as an inverse problem whose solution is the target image assumed to live in a much lower dimensional…

Computer Vision and Pattern Recognition · Computer Science 2023-07-19 Qi Wei , José Bioucas-Dias , Nicolas Dobigeon , Jean-Yves Tourneret

Single-image super-resolution (SISR) typically focuses on restoring various degraded low-resolution (LR) images to a single high-resolution (HR) image. However, during SISR tasks, it is often challenging for models to simultaneously…

Image and Video Processing · Electrical Eng. & Systems 2023-11-10 Xin Wang , Jing-Ke Yan , Jing-Ye Cai , Jian-Hua Deng , Qin Qin , Yao Cheng

Hyperspectral Imaging (HSI) combines microscopy and spectroscopy to assess the spatial distribution of spectroscopically active compounds in objects, and has diverse applications in food quality control, pharmaceutical processes, and waste…

Image and Video Processing · Electrical Eng. & Systems 2023-08-30 Mahdiyeh Ghaffari , Mickey C. J. Lukkien , Nematollah Omidikia , Gerjen H. Tinnevelt , Marcel C. P. van Eijk , Jeroen J. Jansen

Many approximations were suggested to circumvent the cubic complexity of kernel-based algorithms, allowing their application to large-scale datasets. One strategy is to consider the primal formulation of the learning problem by mapping the…

Machine Learning · Computer Science 2025-12-03 Albert Saiapin , Kim Batselier

Hyperspectral imaging, providing abundant spatial and spectral information simultaneously, has attracted a lot of interest in recent years. Unfortunately, due to the hardware limitations, the hyperspectral image (HSI) is vulnerable to…

Computer Vision and Pattern Recognition · Computer Science 2017-09-04 Yi Chang , Luxin Yan , Houzhang Fang , Sheng Zhong , Zhijun Zhang

Coupled tensor approximation has recently emerged as a promising approach for the fusion of hyperspectral and multispectral images, reconciling state of the art performance with strong theoretical guarantees. However, tensor-based…

Signal Processing · Electrical Eng. & Systems 2021-04-21 Ricardo Augusto Borsoi , Clémence Prévost , Konstantin Usevich , David Brie , José Carlos Moreira Bermudez , Cédric Richard

Most state of the art deep neural networks are overparameterized and exhibit a high computational cost. A straightforward approach to this problem is to replace convolutional kernels with its low-rank tensor approximations, whereas the…

Computer Vision and Pattern Recognition · Computer Science 2020-08-13 Anh-Huy Phan , Konstantin Sobolev , Konstantin Sozykin , Dmitry Ermilov , Julia Gusak , Petr Tichavsky , Valeriy Glukhov , Ivan Oseledets , Andrzej Cichocki
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