Tensor Decompositions, Alternating Least Squares and other Tales

Abstract : 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 is calculated. In particular, the interest in using the ELS enhancement in these algorithms is discussed. Computer simulations feed this discussion.


https://hal.archives-ouvertes.fr/hal-00410057
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Soumis le : dimanche 16 août 2009 - 20:38:16
Dernière modification le : vendredi 12 juin 2015 - 09:04:33
Document(s) archivé(s) le : mardi 15 juin 2010 - 22:30:00

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Pierre Comon, Xavier Luciani, André De Almeida. Tensor Decompositions, Alternating Least Squares and other Tales. Journal of Chemometrics, Wiley, 2009, 23, pp.393-405. <10.1002/cem.1236>. <hal-00410057>

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