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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Submitted on : Sunday, August 16, 2009 - 8:38:16 PM
Last modification on : Thursday, February 7, 2019 - 2:50:51 PM
Long-term archiving on : Tuesday, June 15, 2010 - 10:30:00 PM

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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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