Low rank tensor completion for multiway visual data

Z Long, Y Liu, L Chen, C Zhu - Signal processing, 2019 - Elsevier
Tensor completion recovers missing entries of multiway data. The missing of entries could
often be caused during the data acquisition and transformation. In this paper, we provide an …

Multiview subspace clustering by an enhanced tensor nuclear norm

W **a, X Zhang, Q Gao, X Shu, J Han… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Despite the promising preliminary results, tensor-singular value decomposition (t-SVD)-
based multiview subspace is incapable of dealing with real problems, such as noise and …

[HTML][HTML] Generalized tensor function via the tensor singular value decomposition based on the T-product

Y Miao, L Qi, Y Wei - Linear Algebra and its Applications, 2020 - Elsevier
In this paper, we present the definition of generalized tensor function according to the tensor
singular value decomposition (T-SVD) based on the tensor T-product. Also, we introduce the …

Sparse regularization-based spatial–temporal twist tensor model for infrared small target detection

J Li, P Zhang, L Zhang, Z Zhang - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Infrared (IR) small target detection under complex environments is an essential part of IR
search and track systems. However, previously proposed IR small target detection …

Tensor compressive sensing fused low-rankness and local-smoothness

X Liu, J Hou, J Peng, H Wang, D Meng… - Proceedings of the AAAI …, 2023 - ojs.aaai.org
A plethora of previous studies indicates that making full use of multifarious intrinsic
properties of primordial data is a valid pathway to recover original images from their …

Enhanced sparsity prior model for low-rank tensor completion

J Xue, Y Zhao, W Liao, JCW Chan… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Conventional tensor completion (TC) methods generally assume that the sparsity of tensor-
valued data lies in the global subspace. The so-called global sparsity prior is measured by …

Tensor N-tubal rank and its convex relaxation for low-rank tensor recovery

YB Zheng, TZ Huang, XL Zhao, TX Jiang, TY Ji… - Information Sciences, 2020 - Elsevier
The recent popular tensor tubal rank, defined based on tensor singular value decomposition
(t-SVD), yields promising results. However, its framework is applicable only to three-way …

Denoising of low-dose CT images via low-rank tensor modeling and total variation regularization

SVM Sagheer, SN George - Artificial intelligence in medicine, 2019 - Elsevier
Abstract Low-dose Computed Tomography (CT) imaging is a most commonly used medical
imaging modality. Though the reduction in dosage reduces the risk due to radiation, it leads …

T-positive semidefiniteness of third-order symmetric tensors and T-semidefinite programming

MM Zheng, ZH Huang, Y Wang - Computational Optimization and …, 2021 - Springer
The T-product for third-order tensors has been used extensively in the literature. In this
paper, we first introduce first-order and second-order T-derivatives for the multi-variable real …

Weighted tensor nuclear norm minimization for tensor completion using tensor-SVD

Y Mu, P Wang, L Lu, X Zhang, L Qi - Pattern Recognition Letters, 2020 - Elsevier
In this paper, we consider the tensor completion problem, which aims to estimate missing
values from limited information. Our model is based on the recently proposed tensor-SVD …