Framelet representation of tensor nuclear norm for third-order tensor completion

TX Jiang, MK Ng, XL Zhao… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
The main aim of this paper is to develop a framelet representation of the tensor nuclear norm
for third-order tensor recovery. In the literature, the tensor nuclear norm can be computed by …

[HTML][HTML] Multi-dimensional imaging data recovery via minimizing the partial sum of tubal nuclear norm

TX Jiang, TZ Huang, XL Zhao, LJ Deng - Journal of Computational and …, 2020 - Elsevier
In this paper, we investigate tensor recovery problems within the tensor singular value
decomposition (t-SVD) framework. We propose the partial sum of the tubal nuclear norm …

Nonlocal robust tensor recovery with nonconvex regularization

D Qiu, M Bai, MK Ng, X Zhang - Inverse Problems, 2021 - iopscience.iop.org
The robust tensor recovery problem consists in reconstructing a tensor from a sample of
entries corrupted by noise, which has attracted great interest in a wide range of practical …

A low-rank and sparse enhanced Tucker decomposition approach for tensor completion

C Pan, C Ling, H He, L Qi, Y Xu - Applied Mathematics and Computation, 2024 - Elsevier
In this paper, we introduce a unified low-rank and sparse enhanced Tucker decomposition
model for tensor completion. Our model possesses a sparse regularization term to promote …

Nonconvex optimization for robust tensor completion from grossly sparse observations

X Zhao, M Bai, MK Ng - Journal of Scientific Computing, 2020 - Springer
In this paper, we consider the robust tensor completion problem for recovering a low-rank
tensor from limited samples and sparsely corrupted observations, especially by impulse …

Robust tensor completion: Equivalent surrogates, error bounds, and algorithms

X Zhao, M Bai, D Sun, L Zheng - SIAM Journal on Imaging Sciences, 2022 - SIAM
Robust low-rank tensor completion (RTC) problems have received considerable attention in
recent years such as in signal processing and computer vision. In this paper, we focus on …

Low-rank tensor recovery via non-convex regularization, structured factorization and spatio-temporal characteristics

Q Yu, M Yang - Pattern Recognition, 2023 - Elsevier
Recently, the convex low-rank 3rd-order tensor recovery has attracted considerable
attention. However, there are some limitations to the convex relaxation approach, which may …

A generalized low-rank double-tensor nuclear norm completion framework for infrared small target detection

L Deng, D Xu, G Xu, H Zhu - IEEE Transactions on Aerospace …, 2022 - ieeexplore.ieee.org
Infrared small target detection is a research hotspot in computer vision technology that plays
an important role in infrared early warning systems. Specifically, infrared images with strong …

Iterative p-shrinkage thresholding algorithm for low Tucker rank tensor recovery

K Shang, YF Li, ZH Huang - Information Sciences, 2019 - Elsevier
Low-rank tensor recovery, as a higher order extension of low-rank matrix recovery, has
generated a great deal of research interests in recent years, such as image inpainting, video …

Hyperspectral image denoising via framelet transformation based three-modal tensor nuclear norm

W Kong, Y Song, J Liu - Remote Sensing, 2021 - mdpi.com
During the acquisition process, hyperspectral images (HSIs) are inevitably contaminated by
mixed noise, which seriously affects the image quality. To improve the image quality, HSI …