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Hyperspectral images (HSIs) are inevitably degraded by a mixture of various types of noise, such as Gaussian noise, impulse noise, stripe noise, and dead pixels, which greatly limits the subsequent applications. Although various denoising…

图像与视频处理 · 电气工程与系统科学 2024-01-12 Dongyi Li , Dong Chu , Xiaobin Guan , Wei He , Huanfeng Shen

To alleviate the bias generated by the l1-norm in the low-rank tensor completion problem, nonconvex surrogates/regularizers have been suggested to replace the tensor nuclear norm, although both can achieve sparsity. However, the…

机器学习 · 计算机科学 2023-10-11 Zhi-Yong Wang , Hing Cheung So , Abdelhak M. Zoubir

Modern technological advances have enabled an unprecedented amount of structured data with complex temporal dependence, urging the need for new methods to efficiently model and forecast high-dimensional tensor-valued time series. This paper…

统计方法学 · 统计学 2023-09-28 Di Wang , Yao Zheng , Guodong Li

Tensor low-rank representation (TLRR) has demonstrated significant success in image clustering. However, most existing methods rely on fixed transformations and suffer from poor robustness to noise. In this paper, we propose a novel…

计算机视觉与模式识别 · 计算机科学 2025-10-24 Hui Chen , Xinjie Wang , Xianchao Xiu , Wanquan Liu

Low-rank tensor representation (LRTR) has emerged as a powerful tool for multi-dimensional data processing. However, classical LRTR-based methods face two critical limitations: (1) they typically assume that the holistic data is low-rank,…

计算机视觉与模式识别 · 计算机科学 2025-08-21 Zhizhou Wang , Jianli Wang , Ruijing Zheng , Zhenyu Wu

Hyperspectral images~(HSIs) are often contaminated by a mixture of noise such as Gaussian noise, dead lines, stripes, and so on. In this paper, we propose a multi-scale low-rank tensor regularized $\ell_{2,p}$ (MLTL2p) approach for HSI…

最优化与控制 · 数学 2025-07-25 Xiaoxia Liu , Shijie Yu , Jian Lu , Xiaojun Chen

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…

计算机视觉与模式识别 · 计算机科学 2025-09-03 Jin Ye , Fengchao Xiong , Jun Zhou , Yuntao Qian

In this paper, we propose a novel low-tubal-rank tensor recovery model, which directly constrains the tubal rank prior for effectively removing the mixed Gaussian and sparse noise in hyperspectral images. The constraints of tubal-rank and…

计算机视觉与模式识别 · 计算机科学 2019-05-16 Hao Zhang , Xi-Le Zhao , Tai-Xiang Jiang , Michael Kwok-Po Ng

We propose inexact subspace iteration for solving high-dimensional eigenvalue problems with low-rank structure. Inexactness stems from low-rank compression, enabling efficient representation of high-dimensional vectors in a low-rank tensor…

数值分析 · 数学 2025-10-16 Alec Dektor , Peter DelMastro , Erika Ye , Roel Van Beeumen , Chao Yang

Hyperspectral remote sensing images (HSIs) usually have high spectral resolution and low spatial resolution. Conversely, multispectral images (MSIs) usually have low spectral and high spatial resolutions. The problem of inferring images…

计算机视觉与模式识别 · 计算机科学 2015-06-23 Miguel Simões , José Bioucas-Dias , Luis B. Almeida , Jocelyn Chanussot

Recently, tensor data (or multidimensional array) have been generated in many modern applications, such as functional magnetic resonance imaging (fMRI) in neuroscience and videos in video analysis. Many efforts are made in recent years to…

机器学习 · 计算机科学 2023-08-10 Jiaqi Zhang , Yinghao Cai , Zhaoyang Wang , Beilun Wang

Several bandwise total variation (TV) regularized low-rank (LR)-based models have been proposed to remove mixed noise in hyperspectral images (HSIs). Conventionally, the rank of LR matrix is approximated using nuclear norm (NN). The NN is…

计算机视觉与模式识别 · 计算机科学 2020-05-11 Haijin Zeng , Xiaozhen Xie , Jifeng Ning

Since higher-order tensors are naturally suitable for representing multi-dimensional data in real-world, e.g., color images and videos, low-rank tensor representation has become one of the emerging areas in machine learning and computer…

计算机视觉与模式识别 · 计算机科学 2022-12-02 Yisi Luo , Xile Zhao , Zhemin Li , Michael K. Ng , Deyu Meng

Hyperspectral image (HSI) and multispectral image (MSI) fusion aims at producing a super-resolution image (SRI). In this paper, we establish a nonconvex optimization model for image fusion problems through low-rank tensor triple…

最优化与控制 · 数学 2024-04-02 Xiaofei Cui , Jingya Chang

Low-rank tensor completion recovers missing entries based on different tensor decompositions. Due to its outstanding performance in exploiting some higher-order data structure, low rank tensor ring has been applied in tensor completion. To…

机器学习 · 计算机科学 2020-07-14 Huyan Huang , Yipeng Liu , Ce Zhu

Registration networks have shown great application potentials in medical image analysis. However, supervised training methods have a great demand for large and high-quality labeled datasets, which is time-consuming and sometimes impractical…

计算机视觉与模式识别 · 计算机科学 2021-05-21 Dengqiang Jia , Shangqi Gao , Qunlong Chen , Xinzhe Luo , Xiahai Zhuang

In this paper, we propose a novel nonconvex approach to robust principal component analysis for HSI denoising, which focuses on simultaneously developing more accurate approximations to both rank and column-wise sparsity for the low-rank…

图像与视频处理 · 电气工程与系统科学 2022-12-07 Chong Peng , Yang Liu , Yongyong Chen , Xinxin Wu , Andrew Cheng , Zhao Kang , Chenglizhao Chen , Qiang Cheng

Robust tensor recovery plays an instrumental role in robustifying tensor decompositions for multilinear data analysis against outliers, gross corruptions and missing values and has a diverse array of applications. In this paper, we study…

机器学习 · 统计学 2014-08-26 Donald Goldfarb , Zhiwei Qin

Hyperspectral images (HSIs) are often corrupted by a mixture of several types of noise during the acquisition process, e.g., Gaussian noise, impulse noise, dead lines, stripes, and many others. Such complex noise could degrade the quality…

计算机视觉与模式识别 · 计算机科学 2017-07-11 Yao Wang , Jiangjun Peng , Qian Zhao , Deyu Meng , Yee Leung , Xi-Le Zhao

In tensor completion tasks, the traditional low-rank tensor decomposition models suffer from the laborious model selection problem due to their high model sensitivity. In particular, for tensor ring (TR) decomposition, the number of model…

机器学习 · 计算机科学 2018-12-03 Longhao Yuan , Chao Li , Danilo Mandic , Jianting Cao , Qibin Zhao