scholarly journals Border Rank Nonadditivity for Higher Order Tensors

2021 ◽  
Vol 42 (2) ◽  
pp. 503-527
Author(s):  
M. Christandl ◽  
F. Gesmundo ◽  
M. Michałek ◽  
J. Zuiddam
Keyword(s):  
Higher Order ◽  
Border Rank ◽  
Higher Order Tensors

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

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

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

2000 ◽  
Vol 21 (4) ◽  
pp. 1324-1342 ◽  
Author(s):  
Lieven De Lathauwer ◽  
Bart De Moor ◽  
Joos Vandewalle
Keyword(s):  
Higher Order ◽  
Higher Order Tensors

scholarly journals Nuclear norm of higher-order tensors

2017 ◽  
Vol 87 (311) ◽  
pp. 1255-1281 ◽  
Author(s):  
Shmuel Friedland ◽  
Lek-Heng Lim
Keyword(s):  
Higher Order ◽  
Nuclear Norm ◽  
Higher Order Tensors

Multiscale analysis for higher-order tensors

2019 ◽  
Author(s):  
Alp Ozdemir ◽  
Ali Zare ◽  
Mark Iwen ◽  
Selin Aviyente
Keyword(s):  
Multiscale Analysis ◽  
Higher Order ◽  
Higher Order Tensors

Higher-order tensors, strings and new tensors

1990 ◽  
Vol 430 (1879) ◽  
pp. 423-432 ◽  
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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