Tensor decompositions, alternating least squares and other tales

This work was originally motivated by a classification of tensors proposed by Richard Harshman. In particular, we focus on simple and multiple ‘bottlenecks’, and on ‘swamps’. Existing theoretical results are surveyed, some numerical algorithms are described in details, and their numerical complexity...

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Bibliographic Details
Published in:	Journal of chemometrics Vol. 23; no. 7-8; pp. 393 - 405
Main Authors:	Comon, P., Luciani, X., de Almeida, A. L. F.
Format:	Journal Article
Language:	English
Published:	Chichester, UK John Wiley & Sons, Ltd 01.07.2009 Wiley Wiley Subscription Services, Inc
Subjects:	Algorithms canonical decomposition Chemical Sciences Cheminformatics Chemistry Chemometrics Classification computational complexity Computer Science Computer simulation degeneracy Engineering Sciences Environmental Sciences Exact sciences and technology General and physical chemistry General. Nomenclature, chemical documentation, computer chemistry Least squares method Mathematical analysis Numerical analysis PARAFAC Signal and Image Processing Swamps tensor rank Tensors Theory of reactions, general kinetics. Catalysis. Nomenclature, chemical documentation, computer chemistry three-way array canonical decomposition degeneracy Computer simulation Classification PARAFAC Decomposition three-way array Algorithm Chemometrics tensor rank computational complexity Performance measure Levenberg-Marquardt Parafac Tensor rank Canonical Decomposition Three-way Array Candecomp greedy algorithm Indeterminacy compression dimension reduction
ISSN:	0886-9383, 1099-128X, 1099-128X
Online Access:	Get full text
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