Results 21 to 30 of about 1,952,092 (277)

Dynamic MRI Reconstruction Combining Tensor Nuclear Norm and Casorati Matrix Nuclear Norm [PDF]

open access: yes, 2022
Low-rank tensor models have been applied in accelerating dynamic magnetic resonance imaging (dMRI). Recently, a new tensor nuclear norm based on t-SVD has been proposed and applied to tensor completion.
Hu, Yue, Lu, Xin, Zhang, Yinghao
core   +4 more sources

Norm-Attaining Tensors and Nuclear Operators [PDF]

open access: yesMediterranean Journal of Mathematics, 2022
25 pages.
Sheldon Dantas   +3 more
openaire   +5 more sources

Nuclear norm regularized loop optimization for tensor network

open access: yesPhysical Review Research
We propose a loop optimization algorithm based on nuclear norm regularization for the tensor network. The key ingredient of this scheme is to introduce a rank penalty term proposed in the context of data processing.
Kenji Homma   +2 more
doaj   +2 more sources

Numerical stability and tensor nuclear norm

open access: yesNumerische Mathematik, 2023
25 pages, 7 ...
Zhen Dai, Lek-Heng Lim
openaire   +4 more sources

Nonlinear Transform Induced Tensor Nuclear Norm for Tensor Completion

open access: yesJournal of Scientific Computing, 2022
Nonlinear transform, tensor nuclear norm, proximal alternating minimization, tensor ...
Ben-Zheng Li   +4 more
openaire   +2 more sources

On Tensor Completion via Nuclear Norm Minimization [PDF]

open access: yesFoundations of Computational Mathematics, 2015
Many problems can be formulated as recovering a low-rank tensor. Although an increasingly common task, tensor recovery remains a challenging problem because of the delicacy associated with the decomposition of higher order tensors. To overcome these difficulties, existing approaches often proceed by unfolding tensors into matrices and then apply ...
Ming Yuan 0001, Cun-Hui Zhang
openaire   +4 more sources

Nuclear norm of higher-order tensors

open access: yesMathematics of Computation, 2017
23 ...
Shmuel Friedland, Lek-Heng Lim
openaire   +5 more sources

Dynamic Cardiac MRI Reconstruction Using Combined Tensor Nuclear Norm and Casorati Matrix Nuclear Norm Regularizations [PDF]

open access: yes, 2022
Low-rank tensor models have been applied in accelerating dynamic magnetic resonance imaging (dMRI). Recently, a new tensor nuclear norm based on t-SVD has been proposed and applied to tensor completion.
Hu, Yue, Zhang, Yinghao
core   +1 more source

Real Color Image Denoising Using t-Product- Based Weighted Tensor Nuclear Norm Minimization

open access: yesIEEE Access, 2019
Color images can be seen as third-order tensors with column, row and color modes. Considering two inherent characteristics of a color image including the non-local self-similarity (NSS) and the cross-channel correlation, we extract non-local similar ...
Min Liu, Xinggan Zhang, Lan Tang
doaj   +1 more source

SURE based truncated tensor nuclear norm regularization for low rank tensor completion [PDF]

open access: yes, 2021
Low rank tensor completion aims to recover the underlying low rank tensor obtained from its partial observations, this has a wide range of applications in Signal Processing and Machine Learning.
Morison, Gordon, Gordon Morison
core   +1 more source

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