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Foundations of Tensor Analysis – Tensor Algebra and Tensor Calculus

2011
Continuum mechanics has been formulated mainly in the mathematical framework of tensor algebra and tensor calculus. The accurate understanding and the proper application of continuum damage mechanics, therefore, necessitate sound foundation of this mathematical subject.
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Tensor Robust Principal Component Analysis with a New Tensor Nuclear Norm

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2020
Canyi Lu, Jiashi Feng, Yudong Chen
exaly  

Multilayer Sparsity-Based Tensor Decomposition for Low-Rank Tensor Completion

IEEE Transactions on Neural Networks and Learning Systems, 2022
Jize Xue   +2 more
exaly  

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

Information Sciences, 2020
Yu-Bang Zheng   +2 more
exaly  

Summarizing Fuzzy Tensors with Sub-Tensors

Proceedings of the 38th ACM/SIGAPP Symposium on Applied Computing, 2023
Victor Henrique Silva Ribeiro   +1 more
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Framelet Representation of Tensor Nuclear Norm for Third-Order Tensor Completion

IEEE Transactions on Image Processing, 2020
Tai-Xiang Jiang   +2 more
exaly  

When Laplacian Scale Mixture Meets Three-Layer Transform: A Parametric Tensor Sparsity for Tensor Completion

IEEE Transactions on Cybernetics, 2022
Jize Xue, Yongqiang Zhao, Yuanyang Bu
exaly  

Tensor Decompositions and Applications

SIAM Review, 2009
Tamara G Kolda, Brett W Bader
exaly  

Enhanced Sparsity Prior Model for Low-Rank Tensor Completion

IEEE Transactions on Neural Networks and Learning Systems, 2020
Jize Xue, Yongqiang Zhao, Wenzhi Liao
exaly  

Efficient Tensor Completion for Color Image and Video Recovery: Low-Rank Tensor Train

IEEE Transactions on Image Processing, 2017
Hoang Duong Tuan, Minh N
exaly  

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