Abstract : This paper deals with the minimum polyadic decomposition of a nonnegative three-way array. The main advantage of the nonnegativity constraint is that the approximation problem becomes well posed. To tackle this problem, we suggest the use of a cost function including penalty terms built with matrix exponentials. Gradient components are then derived, allowing to efficiently implement the decomposition using classical optimization algorithms. In our case, Alternating Least Squares (ALS) and conjugate gradient algorithms are studied and compared with another existing algorithm, thanks to computer simulations performed in the context of data analysis.
https://hal.archives-ouvertes.fr/hal-00641065
Contributeur : Pierre Comon
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Soumis le : lundi 14 novembre 2011 - 17:04:01
Dernière modification le : mardi 29 mai 2018 - 12:50:31
Document(s) archivé(s) le : mercredi 15 février 2012 - 02:32:24
