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Nonnegative Tensor CP Decomposition of Hyperspectral Data

open access: yesIEEE Transactions on Geoscience and Remote Sensing, 2016
International audienceNew hyperspectral missions will collect huge amounts of hyperspectral data. Besides, it is possible now to acquire time series and multiangular hyperspectral images.
MIGUEL A Veganzones   +2 more
exaly   +2 more sources
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Tensor Decompositions and Applications

SIAM Review, 2009
Summary: This survey provides an overview of higher-order tensor decompositions, their applications, and available software. A tensor is a multidimensional or \(N\)-way array. Decompositions of higher-order tensors (i.e., \(N\)-way arrays with \(N \geq 3\)) have applications in psycho-metrics, chemometrics, signal processing, numerical linear algebra ...
Tamara G. Kolda, Brett W. Bader
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Multiscale tensor decomposition

2016 50th Asilomar Conference on Signals, Systems and Computers, 2016
Large datasets usually contain redundant information and summarizing these datasets is important for better data interpretation. Higher-order data reduction is usually achieved through low-rank tensor approximation which assumes that the data lies near a linear subspace across each mode.
Alp Ozdemir   +2 more
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Sensitivity in Tensor Decomposition

IEEE Signal Processing Letters, 2019
Canonical polyadic (CP) tensor decomposition is an important task in many applications. Many times, the true tensor rank is not known, or noise is present, and in such situations, different existing CP decomposition algorithms provide very different results.
Petr Tichavský   +2 more
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Provable Sparse Tensor Decomposition

open access: yesJournal of the Royal Statistical Society Series B: Statistical Methodology, 2017
Summary We propose a novel sparse tensor decomposition method, namely the tensor truncated power method, that incorporates variable selection in the estimation of decomposition components.
Will Wei Sun, Junwei Lu, Guang Cheng
exaly   +2 more sources

Tensor Decomposition Via Core Tensor Networks

ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2021
Tensor decomposition (TD) has shown promising performance in image completion and denoising. Existing methods always aim to decompose one tensor into latent factors or core tensors by optimizing a particular cost function based on a specific tensor model.
Jianfu Zhang 0003   +3 more
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Tensor-Train Decomposition

SIAM Journal on Scientific Computing, 2011
A simple nonrecursive form of the tensor decomposition in $d$ dimensions is presented. It does not inherently suffer from the curse of dimensionality, it has asymptotically the same number of parameters as the canonical decomposition, but it is stable and its computation is based on low-rank approximation of auxiliary unfolding matrices.
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Randomized Tensor Wheel Decomposition

SIAM Journal on Scientific Computing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mengyu Wang, Yajie Yu, Hanyu Li
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Facial Recognition Using Tensor-Tensor Decompositions

SIAM Journal on Imaging Sciences, 2013
A tensor is a multidimensional array. First-order tensors and second-order tensors can be viewed as vectors and matrices, respectively. Tensors of higher order, with the ability to include more information, appear more frequently nowadays in image and signal processing, data mining, biomedical engineering, and so on.
Ning Hao   +3 more
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Shape Constrained Tensor Decompositions

2019 IEEE International Conference on Data Science and Advanced Analytics (DSAA), 2019
We propose a new low-rank tensor factorization where one mode is coded as a sparse linear combination of elements from an over-complete library. Our method, Shape Constrained Tensor Decomposition (SCTD) is based upon the CANDECOMP/PARAFAC (CP) decomposition which produces r-rank approximations of data tensors via outer products of vectors in each ...
Bethany Lusch   +2 more
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