Results 241 to 250 of about 156,394 (276)

TIHN: Tensor Improved Huber Norm for low-rank tensor recovery

International Journal of Wavelets, Multiresolution and Information Processing
Tensor Robust Principal Component Analysis (TRPCA) has received much attention in many real-world applications which aims to recover a low-rank tensor corrupted by sparse noise. Most existing TRPCA methods usually regularize the low-rank component by minimizing its Tensor Nuclear Norm (TNN). However, the original TNN shrinks all of the singular values
Youheng Liu, Yulong Wang, Longlong Chen, Libin Wang, Yutao Hu   +4 more
openaire   +1 more source

Monotone norms and tensor products

Linear and Multilinear Algebra, 1976
Various refinements of orthant monotonicity for norms are studied. A partial order is induced in the tensor product of two partially ordered vector spaces. The induced norm in the tensor product is shown to be orthant monotone in certain cases.
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Robust Tensor Completion via Capped Frobenius Norm

IEEE Transactions on Neural Networks and Learning Systems
Tensor completion (TC) refers to restoring the missing entries in a given tensor by making use of the low-rank structure. Most existing algorithms have excellent performance in Gaussian noise or impulsive noise scenarios. Generally speaking, the Frobenius-norm-based methods achieve excellent performance in additive Gaussian noise, while their recovery ...
Xiao Peng Li, Zhi-Yong Wang, Zhang-Lei Shi, Hing Cheung So, Nicholas D. Sidiropoulos   +4 more
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Fast Guaranteed Tensor Recovery with Adaptive Tensor Nuclear Norm

Proceedings of the Thirty-ThirdInternational Joint Conference on Artificial Intelligence
Real-world datasets like multi-spectral images and videos are naturally represented as tensors. However, limitations in data acquisition often lead to corrupted or incomplete tensor data, making tensor recovery a critical challenge. Solving this problem requires exploiting inherent structural patterns, with the low-rank property being particularly ...
Jiangjun Peng, Hailin Wang, Xiangyong Cao, Shuang Xu   +3 more
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A tensor norm for \(Q\)-spaces

2002
Given a Banach space \(E\), the minimal operator space structure \(\min(E)\) on \(E\) is the one induced by the canonical isometric embedding of \(E\) into the commutative \(C^*\)-algebra of all continuous functions on the unit ball of its dual \(E^*\).
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Logarithmic Norm Regularized Low-Rank Factorization for Matrix and Tensor Completion

IEEE Transactions on Image Processing, 2021
Lin Chen, Xue Jiang, Xingzhao Liu
exaly  

Robust low tubal rank tensor completion via factor tensor norm minimization

Pattern Recognition, 2023
cszhang0612 changsheng
exaly  

Norms on Tensor Products

2023
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Self-Supervised Nonlinear Transform-Based Tensor Nuclear Norm for Multi-Dimensional Image Recovery

IEEE Transactions on Image Processing, 2022
Yi-Si Luo, Xi-Le Zhao, Tai-Xiang Jiang
exaly  

Robust low-rank tensor completion via transformed tensor nuclear norm with total variation regularization

Neurocomputing, 2021
Michael Ng, Xiongjun Zhang
exaly