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Fusing a hyperspectral image with a multispectral image acquired over the same scene, \textit{i.e.}, hyperspectral image super-resolution, has become a popular computational way to access the latent high-spatial-spectral-resolution image.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-08 Yinjian Wang , Wei Li , Yuanyuan Gui , Gemine Vivone

We present a practical and efficient means to compute the singular value decomposition (svd) of a quaternion matrix A based on bidiagonalization of A to a real bidiagonal matrix B using quaternionic Householder transformations. Computation…

Numerical Analysis · Mathematics 2007-05-23 Stephen J. Sangwine , Nicolas Le Bihan

We propose a deep learning method for single image super-resolution (SR). Our method directly learns an end-to-end mapping between the low/high-resolution images. The mapping is represented as a deep convolutional neural network (CNN) that…

Computer Vision and Pattern Recognition · Computer Science 2015-08-03 Chao Dong , Chen Change Loy , Kaiming He , Xiaoou Tang

Also recently, exciting strides forward have been made in the area of image restoration, particularly for image denoising and single image super-resolution. Deep learning techniques contributed to this significantly. The top methods differ…

Computer Vision and Pattern Recognition · Computer Science 2016-07-27 Jiqing Wu , Radu Timofte , Luc Van Gool

The application of the context-adaptive entropy model significantly improves the rate-distortion (R-D) performance, in which hyperpriors and autoregressive models are jointly utilized to effectively capture the spatial redundancy of the…

Image and Video Processing · Electrical Eng. & Systems 2022-09-09 Haisheng Fu , Feng Liang

Singular value decomposition (SVD) is widely used in wireless systems, including multiple-input multiple-output (MIMO) processing and dimension reduction in distributed MIMO (D-MIMO). However, the iterative nature of decomposition methods…

Signal Processing · Electrical Eng. & Systems 2025-09-24 Sijia Cheng , Liang Liu , Ove Edfors , Juan Vidal Alegria

One impressive advantage of convolutional neural networks (CNNs) is their ability to automatically learn feature representation from raw pixels, eliminating the need for hand-designed procedures. However, recent methods for single image…

Computer Vision and Pattern Recognition · Computer Science 2016-07-27 Yifan Wang , Lijun Wang , Hongyu Wang , Peihua Li

Salient Object Detection (SOD) domain using RGB-D data has lately emerged with some current models' adequately precise results. However, they have restrained generalization abilities and intensive computational complexity. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2021-02-15 Tanveer Hussain , Saeed Anwar , Amin Ullah , Khan Muhammad , Sung Wook Baik

This paper presents an experimental study on the application of quaternions in several machine learning algorithms. Quaternion is a mathematical representation of rotation in three-dimensional space, which can be used to represent complex…

Machine Learning · Computer Science 2023-08-07 Tianlei Zhu , Renzhe Zhu

High-resolution representation learning plays an essential role in many vision problems, e.g., pose estimation and semantic segmentation. The high-resolution network (HRNet)~\cite{SunXLW19}, recently developed for human pose estimation,…

Computer Vision and Pattern Recognition · Computer Science 2019-04-10 Ke Sun , Yang Zhao , Borui Jiang , Tianheng Cheng , Bin Xiao , Dong Liu , Yadong Mu , Xinggang Wang , Wenyu Liu , Jingdong Wang

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…

Image and Video Processing · Electrical Eng. & Systems 2022-07-12 Jinhui Hou , Zhiyu Zhu , Hui Liu , Junhui Hou

Implicit neural representations (INRs) have significantly advanced the field of arbitrary-scale super-resolution (ASSR) of images. Most existing INR-based ASSR networks first extract features from the given low-resolution image using an…

Computer Vision and Pattern Recognition · Computer Science 2024-07-26 Jintong Hu , Bin Xia , Bin Chen , Wenming Yang , Lei Zhang

Fourier transform (FT) plays a crucial role in a broad range of applications, from enhancement, restoration and analysis through to security, compression and manipulation. The Fourier transform (FT) is a process that converts a function…

Numerical Analysis · Mathematics 2023-05-05 Benjamin Kenwright

Hyperdimensional computing (HDC), also known as vector symbolic architectures (VSA), is a computing framework used within artificial intelligence and cognitive computing that operates with distributed vector representations of large fixed…

Artificial Intelligence · Computer Science 2022-05-18 Dmitri A. Rachkovskij , Denis Kleyko

High-resolution representations are essential for position-sensitive vision problems, such as human pose estimation, semantic segmentation, and object detection. Existing state-of-the-art frameworks first encode the input image as a…

Computer Vision and Pattern Recognition · Computer Science 2020-03-16 Jingdong Wang , Ke Sun , Tianheng Cheng , Borui Jiang , Chaorui Deng , Yang Zhao , Dong Liu , Yadong Mu , Mingkui Tan , Xinggang Wang , Wenyu Liu , Bin Xiao

Deep neural networks used for image classification often use convolutional filters to extract distinguishing features before passing them to a linear classifier. Most interpretability literature focuses on providing semantic meaning to…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Brenda Praggastis , Davis Brown , Carlos Ortiz Marrero , Emilie Purvine , Madelyn Shapiro , Bei Wang

Tensor completion has emerged as a powerful framework for recovering missing data in multidimensional signals by exploiting low-rank tensor structures. Among existing approaches, linear transform-based tensor nuclear norm (TNN) methods have…

Optimization and Control · Mathematics 2026-05-05 Biswarup Karmakar , Ratikanta Behera

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

SVD (singular value decomposition) is one of the basic tools of machine learning, allowing to optimize basis for a given matrix. However, sometimes we have a set of matrices $\{A_k\}_k$ instead, and would like to optimize a single common…

Machine Learning · Computer Science 2022-04-19 Jarek Duda

Since their first applications, Convolutional Neural Networks (CNNs) have solved problems that have advanced the state-of-the-art in several domains. CNNs represent information using real numbers. Despite encouraging results, theoretical…

Artificial Intelligence · Computer Science 2025-12-22 Gerardo Altamirano-Gomez , Carlos Gershenson