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A variational phase-field model for ductile fracture depending on hydrostatic stresses. [PDF]

Meccanica
Sur AS, De Lorenzis L, Maurini C, Hopperstad OS.   +3 more
europepmc   +1 more source

Image-text guided fundus vessel segmentation via attention mechanism and gated residual learning. [PDF]

Front Cell Dev Biol
Xu J, Liu Q, Shen J, Tan R, Tian S, Chi W, Yang W.   +6 more
europepmc   +1 more source

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

Pattern Recognition Letters, 2020
Abstract 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, which uses the relationships among the color channels in an image or video recovery problem. To improve the availability of the model, we propose the weighted tensor
Yang Mu, Ping Wang, Liangfu Lu, Xuyun Zhang, Lianyong Qi   +4 more
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p-Norm B-Tensors and p-Norm $$B_0$$-Tensors

Bulletin of the Iranian Mathematical Society, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Qilong, Liao, Qingshui
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Internet traffic tensor completion with tensor nuclear norm

Computational Optimization and Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Can Li, Yannan Chen, Dong-Hui Li
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Tensor Ranks and Norms

2022
Tensor decompositions have been studied for nearly a century, but the well-known notion of tensor rank does not capture all the properties that one may desire of a rank function on tensors. For that reason, in recent years many alternative notions of tensor rank have been developed and studied. Some have also studied related notions of norms on tensors,
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Tensor logarithmic norm and its applications

Numerical Linear Algebra with Applications, 2016
SummaryMatrix logarithmic norm is an important quantity, which characterize the stability of linear dynamical systems. We propose the logarithmic norms for tensors and tensor pairs, and extend some classical results from the matrix case. Moreover, the explicit forms of several tensor logarithmic norms and semi‐norms are also derived.
Ding, Weiyang, Hou, Zongyuan, Wei, Yimin
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Biquadratic tensors, biquadratic decompositions, and norms of biquadratic tensors

Frontiers of Mathematics in China, 2021
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Qi, Liqun, Hu, Shenglong, Zhang, Xinzhen, Xu, Yanwei   +3 more
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