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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

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

Currently, low-rank tensor completion has gained cumulative attention in recovering incomplete visual data whose partial elements are missing. By taking a color image or video as a three-dimensional (3D) tensor, previous studies have…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Shengke Xue , Wenyuan Qiu , Fan Liu , Xinyu Jin

Recently, low-rank tensor completion has become increasingly attractive in recovering incomplete visual data. Considering a color image or video as a three-dimensional (3D) tensor, existing studies have put forward several definitions of…

Computer Vision and Pattern Recognition · Computer Science 2019-01-09 Shengke Xue , Wenyuan Qiu , Fan Liu , Xinyu Jin

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

Hyperspectral image (HSI) has some advantages over natural image for various applications due to the extra spectral information. During the acquisition, it is often contaminated by severe noises including Gaussian noise, impulse noise,…

Image and Video Processing · Electrical Eng. & Systems 2020-07-03 Zhen Long , Yipeng Liu , Sixing Zeng , Jiani Liu , Fei Wen , Ce Zhu

The linear transform-based tensor nuclear norm (TNN) methods have recently obtained promising results for tensor completion. The main idea of this type of methods is exploiting the low-rank structure of frontal slices of the targeted tensor…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Ben-Zheng Li , Xi-Le Zhao , Teng-Yu Ji , Xiong-Jun Zhang , Ting-Zhu Huang

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

A tensor nuclear norm (TNN) based method for solving the tensor recovery problem was recently proposed, and it has achieved state-of-the-art performance. However, it may fail to produce a highly accurate solution since it tends to treats…

Optimization and Control · Mathematics 2022-05-13 Quan Yu

Tensors with unit Frobenius norm are fundamental objects in many fields, including scientific computing and quantum physics, which are able to represent normalized eigenvectors and pure quantum states. While the tensor train decomposition…

Numerical Analysis · Mathematics 2025-11-07 Renfeng Peng , Chengkai Zhu , Bin Gao , Xin Wang , Ya-xiang Yuan

Recent approaches based on transform-based tensor nuclear norm (TNN) have demonstrated notable effectiveness in hyperspectral image (HSI) inpainting by leveraging low-rank structures in latent representations. Recent developments…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Yunshan Li , Wenwu Gong , Qianqian Wang , Chao Wang , Lili Yang

Remote sensing image restoration aims to reconstruct missing or corrupted areas within images. To date, low-rank based models have garnered significant interest in this field. This paper proposes a novel low-rank regularization term, named…

Image and Video Processing · Electrical Eng. & Systems 2024-12-17 Shuang Xu , Chang Yu , Jiangjun Peng , Xiangyong Cao , Deyu Meng

Hyperspectral image (HSI) denoising aims to restore clean HSI from the noise-contaminated one. Noise contamination can often be caused during data acquisition and conversion. In this paper, we propose a novel spatial-spectral total…

Image and Video Processing · Electrical Eng. & Systems 2021-04-07 Haijin Zeng , Xiaozhen Xie , Jifeng Ning

An increasing number of emerging applications in data science and engineering are based on multidimensional and structurally rich data. The irregularities, however, of high-dimensional data often compromise the effectiveness of standard…

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

Tensor neural networks (TNNs) have demonstrated their superiority in solving high-dimensional problems. However, similar to conventional neural networks, TNNs are also influenced by the Frequency Principle, which limits their ability to…

Machine Learning · Computer Science 2026-05-15 Jizu Huang , Yue Qiu , Rukang You

In this paper we propose a tensor-based nonlinear model for high-order data classification. The advantages of the proposed scheme are that (i) it significantly reduces the number of weight parameters, and hence of required training samples,…

Hyperspectral image (HSI) denoising is a crucial preprocessing step for subsequent tasks. The clean HSI usually reside in a low-dimensional subspace, which can be captured by low-rank and sparse representation, known as the physical prior…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Jin Ye , Fengchao Xiong , Jun Zhou , Yuntao Qian

Recently, hyperspectral image (HSI) classification approaches based on deep learning (DL) models have been proposed and shown promising performance. However, because of very limited available training samples and massive model parameters,…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 Haokui Zhang , Ying Li , Yenan Jiang , Peng Wang , Qiang Shen , Chunhua Shen

In this paper, we study multi-dimensional image recovery. Recently, transform-based tensor nuclear norm minimization methods are considered to capture low-rank tensor structures to recover third-order tensors in multi-dimensional image…

Image and Video Processing · Electrical Eng. & Systems 2022-06-15 Yi-Si Luo , Xi-Le Zhao , Tai-Xiang Jiang , Yi Chang , Michael K. Ng , Chao Li
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