Results 41 to 50 of about 36,142 (194)

Positive Definiteness and Semi-Definiteness of Even Order Symmetric Cauchy Tensors [PDF]

, 2014
Motivated by symmetric Cauchy matrices, we define symmetric Cauchy tensors and their generating vectors in this paper. Hilbert tensors are symmetric Cauchy tensors.
Chen, Haibin, Qi, Liqun
core   +1 more source

Tensors of nonnegative rank two

Linear Algebra and its Applications, 2015
A nonnegative tensor has nonnegative rank at most 2 if and only if it is supermodular and has flattening rank at most 2. We prove this result, then explore the semialgebraic geometry of the general Markov model on phylogenetic trees with binary states, and comment on possible extensions to tensors of higher rank.
Elizabeth S. Allman, John A. Rhodes, Bernd Sturmfels, Piotr Zwiernik   +3 more
openaire   +3 more sources

Sparse and Low-Rank Constrained Tensor Factorization for Hyperspectral Image Unmixing

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021
Third-order tensors have been widely used in hyperspectral remote sensing because of their ability to maintain the 3-D structure of hyperspectral images.
Pan Zheng, Hongjun Su, Qian Du
doaj   +1 more source

Some inequalities for nonnegative tensors [PDF]

Journal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Jun, Huang, Ting-Zhu, Cheng, Guang-Hui   +2 more
openaire   +2 more sources

Video tamper detection method based on nonnegative tensor factorization

网络与信息安全学报, 2017
The authenticity and integrity of video authentication is one of the important contents in information security field.A video tampering detection method based on non-negative tensor decomposition was proposed for video inter-frame tampering.First of all ...
Xue-li ZHANG,Tian-qiang HUANG,Wei HUANG, Jing LIN   +1 more
doaj   +3 more sources

Informed Dictionary-Guided Monte Carlo Inversion for Robust and Reproducible Multidimensional MRI. [PDF]

Magn Reson Med
ABSTRACT Purpose To develop a robust and efficient multidimensional MRI (MD‐MRI) data processing framework for accurately estimating joint frequency‐dependent diffusion‐relaxation distributions, while overcoming computational limitations and noise instability inherent to Monte Carlo (MC) inversion.
Park JS, Manninen E, Manninen E, Yang Y, Benjamini D.   +4 more
europepmc   +2 more sources

Quasi-Irreducibility of Nonnegative Biquadratic Tensors

Mathematics
While the adjacency tensor of a bipartite 2-graph is a nonnegative biquadratic tensor, it is inherently reducible. To address this limitation, we introduce the concept of quasi-irreducibility in this paper.
Liqun Qi, Chunfeng Cui, Yi Xu
doaj   +1 more source

Renormalization group flows of Hamiltonians using tensor networks [PDF]

, 2017
A renormalization group flow of Hamiltonians for two-dimensional classical partition functions is constructed using tensor networks. Similar to tensor network renormalization ([G. Evenbly and G. Vidal, Phys. Rev. Lett. 115, 180405 (2015)], [S. Yang, Z.-C.
Bal, Matthias, Haegeman, Jutho, Mariën, Michaël, Verstraete, Frank   +3 more
core   +3 more sources

Nonnegative biquadratic tensors

Applied Mathematics and Computation
An M-eigenvalue of a nonnegative biquadratic tensor is referred to as an M$^+$-eigenvalue if it has a pair of nonnegative M-eigenvectors. If furthermore that pair of M-eigenvectors is positive, then that M$^+$-eigenvalue is called an M$^{++}$-eigenvalue.
Chunfeng Cui, Liqun Qi
openaire   +2 more sources

A new bound for the spectral radius of nonnegative tensors

Journal of Inequalities and Applications, 2017
By estimating the ratio of the smallest component and the largest component of a Perron vector, we provide a new bound for the spectral radius of a nonnegative tensor.
Suhua Li, Chaoqian Li, Yaotang Li
doaj   +1 more source