
Tubal Matrix Analysis
One of the early ideas started from the 2004 workshop is to regard third...
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STSVD Factorization and sDiagonal Tensors
A third order real tensor is mapped to a special fdiagonal tensor by go...
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An Orthogonal Equivalence Theorem for Third Order Tensors
In 2011, Kilmer and Martin proposed tensor singular value decomposition ...
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TSingular Values and TSketching for Third Order Tensors
Based upon the TSVD (tensor SVD) of third order tensors, introduced by ...
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LowRank and Sparse Enhanced Tucker Decomposition for Tensor Completion
Tensor completion refers to the task of estimating the missing data from...
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A Parallelizable Method for Missing Internet Traffic Tensor Data
Recovery of internet network traffic data from incomplete observed data ...
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A Parallelizable Optimization Method for Missing Internet Traffic Tensor Data
Recovery of internet network traffic data from incomplete observed data ...
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A Tensor Rank Theory and Maximum Full Rank Subtensors
A matrix always has a full rank submatrix such that the rank of this mat...
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A Tensor Rank Theory, Full Rank Tensors and The SubFullRank Property
A matrix always has a full rank submatrix such that the rank of this mat...
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A Tensor Rank Theory, FullRank Tensors and Base Subtensors
A matrix always has a fullrank submatrix such that the rank of this mat...
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A Tensor Rank Theory and The SubFullRank Property
One fundamental property in matrix theory is that the rank of a matrix i...
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A Unified Theory for Tensor Ranks and its Application
In this paper, we present a unified theory for tensor ranks such that th...
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Triple Decomposition and Tensor Recovery of Third Order Tensors
In this paper, we introduce a new tensor decomposition for third order t...
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Low Rank Triple Decomposition and Tensor Recovery
A simple approach for matrix completion and recovery is via low rank mat...
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Biquadratic Tensors, Biquadratic Decomposition and Norms of Biquadratic Tensors
Biquadratic tensors play a central role in many areas of science. Exampl...
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Tensor Norm, Cubic Power and Gelfand Limit
We establish two inequalities for the nuclear norm and the spectral norm...
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Norm of Tensor Product, Tensor Norm, Cubic Power and Gelfand Limit
We establish two inequalities for the nuclear norm and the spectral norm...
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Norm of Tensor Product, Tensor Norm, and Cubic Power of A Third Order Tensor
We establish two inequalities for the nuclear norm and the spectral norm...
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Nuclear Norm and Spectral Norm of Tensor Product
We show that the nuclear norm of the tensor product of two tensors is no...
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Spectral Norm and Nuclear Norm of a Third Order Tensor
The spectral norm and the nuclear norm of a third order tensor play an i...
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Liqun Qi
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