Model-Driven Sparse CP Decomposition for Higher-Order Tensors

Author(s):  
Jiajia Li ◽  
Jee Choi ◽  
Ioakeim Perros ◽  
Jimeng Sun ◽  
Richard Vuduc
2021 ◽  
pp. 525-572
Author(s):  
Pierre J. Carreau ◽  
Daniel C.R. De Kee ◽  
Raj P. Chhabra

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

2017 ◽  
Vol 87 (311) ◽  
pp. 1255-1281 ◽  
Author(s):  
Shmuel Friedland ◽  
Lek-Heng Lim

Author(s):  
Alp Ozdemir ◽  
Ali Zare ◽  
Mark Iwen ◽  
Selin Aviyente

Author(s):  
Jakub Malý ◽  
Martin Nečaský

In this work, we show how integrity constraints expressed using Object Constraint Language (OCL) can be verified using XML technologies - Schematron, XPath/XQuery and XSLT - and using Model Driven Architecture (MDA) principles. Some constructs typical for OCL constraints are different from the methods used in XPath/XQuery expressions. That is why for translating some OCL expressions, the standard XML toolset must be extended. We introduce such extension for the 2.0 versions of the languages, but with the new features and constructs proposed in drafts for XSLT 3.0, XPath 3.0 and XQuery 3.0, the transition from OCL is much more seamless and transparent. Higher-order functions, maps, error-recovery instructions etc. provide us with necessary power to translate a general OCL expression and we discuss in detail their potential.


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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