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Journal Articles Journal of Chemometrics Year : 2009

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.
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Dates and versions

hal-00410057 , version 1 (16-08-2009)

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Pierre Comon, Xavier Luciani, André L. F. de Almeida. Tensor Decompositions, Alternating Least Squares and other Tales. Journal of Chemometrics, 2009, 23, pp.393-405. ⟨10.1002/cem.1236⟩. ⟨hal-00410057⟩
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