Variable Projection Applied to Block Term Decomposition of Higher-Order Tensors

Latent Variable Analysis and Signal Separation - Lecture Notes in Computer Science ◽

10.1007/978-3-319-93764-9_14 ◽

2018 ◽

pp. 139-148 ◽

Cited By ~ 2

Author(s):

Guillaume Olikier ◽

P.-A. Absil ◽

Lieven De Lathauwer

Keyword(s):

Higher Order ◽

Variable Projection ◽

Higher Order Tensors ◽

Block Term Decomposition

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Higher Order Tensors for DNS Data Analysis and Compression

Data Analysis for Direct Numerical Simulations of Turbulent Combustion ◽

10.1007/978-3-030-44718-2_6 ◽

2020 ◽

pp. 109-134

Author(s):

Hemanth Kolla ◽

Konduri Aditya ◽

Jacqueline H. Chen

Keyword(s):

Data Analysis ◽

Higher Order ◽

Higher Order Tensors

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Higher-Order Block Term Decomposition for Spatially Folded fMRI Data

Latent Variable Analysis and Signal Separation - Lecture Notes in Computer Science ◽

10.1007/978-3-319-53547-0_1 ◽

2017 ◽

pp. 3-15 ◽

Cited By ~ 7

Author(s):

Christos Chatzichristos ◽

Eleftherios Kofidis ◽

Yiannis Kopsinis ◽

Manuel Morante Moreno ◽

Sergios Theodoridis

Keyword(s):

Higher Order ◽

Fmri Data ◽

Block Term Decomposition

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Appendix A: General Curvilinear Coordinate Systems and Higher-Order Tensors

10.3139/9781569907238.010 ◽

2021 ◽

pp. 525-572

Author(s):

Pierre J. Carreau ◽

Daniel C.R. De Kee ◽

Raj P. Chhabra

Keyword(s):

Higher Order ◽

Coordinate Systems ◽

Curvilinear Coordinate ◽

Higher Order Tensors

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On the Best Rank-1 and Rank-(R1 ,R2 ,. . .,RN) Approximation of Higher-Order Tensors

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479898346995 ◽

2000 ◽

Vol 21 (4) ◽

pp. 1324-1342 ◽

Cited By ~ 856

Author(s):

Lieven De Lathauwer ◽

Bart De Moor ◽

Joos Vandewalle

Keyword(s):

Higher Order ◽

Higher Order Tensors

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Nuclear norm of higher-order tensors

Mathematics of Computation ◽

10.1090/mcom/3239 ◽

2017 ◽

Vol 87 (311) ◽

pp. 1255-1281 ◽

Cited By ~ 39

Author(s):

Shmuel Friedland ◽

Lek-Heng Lim

Keyword(s):

Higher Order ◽

Nuclear Norm ◽

Higher Order Tensors

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Multiscale analysis for higher-order tensors

Wavelets and Sparsity XVIII ◽

10.1117/12.2525530 ◽

2019 ◽

Cited By ~ 1

Author(s):

Alp Ozdemir ◽

Ali Zare ◽

Mark Iwen ◽

Selin Aviyente

Keyword(s):

Multiscale Analysis ◽

Higher Order ◽

Higher Order Tensors

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eOTD: An Efficient Online Tucker Decomposition for Higher Order Tensors

2018 IEEE International Conference on Data Mining (ICDM) ◽

10.1109/icdm.2018.00180 ◽

2018 ◽

Author(s):

Houping Xiao ◽

Fei Wang ◽

Fenglong Ma ◽

Jing Gao

Keyword(s):

Higher Order ◽

Tucker Decomposition ◽

Higher Order Tensors

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Higher-order tensors, strings and new tensors

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences ◽

10.1098/rspa.1990.0098 ◽

1990 ◽

Vol 430 (1879) ◽

pp. 423-432 ◽

Cited By ~ 3

Keyword(s):

Representation Theory ◽

Higher Order ◽

General Treatment ◽

Infinite Dimensional ◽

Dimensional Group ◽

Group A ◽

Higher Order Tensors

We consider a number of generalizations of tensors such as strings and new-tensors, of interest in particular in statistics. We give a general treatment of such objects and show that their properties can be described by the representation theory of an infinite-dimensional group. This group is defined and some of its representations examined. As there is no developed representation theory for this group a number of conjectures are made.

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