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In this paper we consider denoising and inpainting problems for higher dimensional combined cyclic and linear space valued data. These kind of data appear when dealing with nonlinear color spaces such as HSV, and they can be obtained by…

Numerical Analysis · Mathematics 2018-12-10 Ronny Bergmann , Andreas Weinmann

In recent years, deep learning has presented a great advance in hyperspectral image (HSI) classification. Particularly, long short-term memory (LSTM), as a special deep learning structure, has shown great ability in modeling long-term…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Wen-Shuai Hu , Heng-Chao Li , Lei Pan , Wei Li , Ran Tao , Qian Du

Hyperspectral images (HSIs) are susceptible to various noise factors leading to the loss of information, and the noise restricts the subsequent HSIs object detection and classification tasks. In recent years, learning-based methods have…

Neural and Evolutionary Computing · Computer Science 2020-08-18 Yuqiao Liu , Yanan Sun , Bing Xue , Mengjie Zhang

Hyperspectral imaging (HSI) is essential across various disciplines for its capacity to capture rich spectral information. However, efficiently reconstructing hyperspectral images from compressive sensing measurements presents significant…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Jianan Li , Wangcai Zhao , Tingfa Xu

High-resolution spatial transcriptomics platforms, such as Xenium, generate single-cell images that capture both molecular and spatial context, but their extremely high dimensionality poses major challenges for representation learning and…

This paper introduces the hierarchical interpolative factorization for elliptic partial differential equations (HIF-DE) in two (2D) and three dimensions (3D). This factorization takes the form of an approximate generalized LU/LDL…

Numerical Analysis · Mathematics 2015-04-21 Kenneth L. Ho , Lexing Ying

Non-negative matrix factorization (NMF) and non-negative tensor factorization (NTF) decompose non-negative high-dimensional data into non-negative low-rank components. NMF and NTF methods are popular for their intrinsic interpretability and…

Machine Learning · Computer Science 2024-12-02 Alexander Sietsema , Zerrin Vural , James Chapman , Yotam Yaniv , Deanna Needell

Hyper spectral imaging is a remote sensing technology, providing variety of applications such as material identification, space object identification, planetary exploitation etc. It deals with capturing continuum of images of the earth…

Numerical Analysis · Computer Science 2015-03-24 Ankit Gupta , Ashish Oberoi

Compared to natural images, hyperspectral images (HSIs) consist of a large number of bands, with each band capturing different spectral information from a certain wavelength, even some beyond the visible spectrum. These characteristics of…

Image and Video Processing · Electrical Eng. & Systems 2023-09-18 Orhan Torun , Seniha Esen Yuksel , Erkut Erdem , Nevrez Imamoglu , Aykut Erdem

While diffusion-based generative models have made significant strides in visual content creation, conventional approaches face computational challenges, especially for high-resolution images, as they denoise the entire image from noisy…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Haohang Xu , Longyu Chen , Yichen Zhang , Shuangrui Ding , Zhipeng Zhang

The complexity of state-of-the-art Transformer-based models for skeleton-based action recognition poses significant challenges in terms of computational efficiency and resource utilization. In this paper, we explore the application of…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Soroush Oraki , Harry Zhuang , Jie Liang

A well known result from functional analysis states that any compact operator between Hilbert spaces admits a singular value decomposition (SVD). This decomposition is a powerful tool that is the workhorse of many methods both in…

Functional Analysis · Mathematics 2022-03-25 Mazen Ali , Anthony Nouy

Spectral computed tomography (CT) reconstructs material-dependent attenuation images with the projections of multiple narrow energy windows, it is meaningful for material identification and decomposition. Unfortunately, the multi-energy…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Weiwen Wu , Fenglin Liu , Yanbo Zhang , Qian Wang , Hengyong Yu

Image forgery localization aims to identify forged regions by capturing subtle traces from high-quality discriminative features. In this paper, we propose a Transformer-style network with two feature extraction branches for image forgery…

Computer Vision and Pattern Recognition · Computer Science 2023-06-14 Yaqi Liu , Binbin Lv , Xin Jin , Xiaoyu Chen , Xiaokun Zhang

The spatio-spectral total variation (SSTV) model has been widely used as an effective regularization of hyperspectral images (HSI) for various applications such as mixed noise removal. However, since SSTV computes local spatial differences…

Image and Video Processing · Electrical Eng. & Systems 2022-10-05 Shingo Takemoto , Kazuki Naganuma , Shunsuke Ono

Low dose computed tomography is a mainstream for clinical applications. How-ever, compared to normal dose CT, in the low dose CT (LDCT) images, there are stronger noise and more artifacts which are obstacles for practical applications. In…

Image and Video Processing · Electrical Eng. & Systems 2021-06-10 Dayang Wang , Zhan Wu , Hengyong Yu

Hyperspectral imaging (HSI) has been widely used in agricultural applications for non-destructive estimation of plant nutrient composition and precise quantification of sample nutritional elements. Recently, 3D reconstruction methods, such…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Sunil Kumar Narayanan , Lingjun Zhao , Lu Gan , Yongsheng Chen

The oriented singular value decomposition (O-SVD) proposed by Zeng and Ng provides a hybrid approach to the t-product based third-order tensor singular value decomposition with the transform matrix being a factor matrix of the higher order…

Numerical Analysis · Mathematics 2023-02-28 Minghui Ding , Yimin Wei , Pengpeng Xie

The deep learning model Transformer has achieved remarkable success in the hyperspectral image (HSI) restoration tasks by leveraging Spectral and Spatial Self-Attention (SA) mechanisms. However, applying these designs to remote sensing (RS)…

Image and Video Processing · Electrical Eng. & Systems 2023-12-13 Yo-Yu Lai , Chia-Hsiang Lin , Zi-Chao Leng

In recent years, the holographic duality between $T\bar{T}$-deformed conformal field theory (CFT) and Anti-de Sitter (AdS) spacetime with finite radial cutoff has received significant attention. The study of $T\bar{T}$ deformation within…

High Energy Physics - Theory · Physics 2025-07-10 Jing-Cheng Chang , Song He , Yu-Xiao Liu , Long Zhao