Overview of constrained PARAFAC models

Abstract : Some tensor prerequisites with a particular emphasis on mode combination using Kronecker products of canonical vectors that makes easier matricization operations, are first reviewed. Then, after a brief reminder of PARAFAC and Tucker models, two families of constrained tensor models, the co-called PARALIND/CONFAC and PARATUCK models, are described in a unified framework, for N-th order tensors. New tensor models, called nested Tucker models and block PARALIND/CONFAC models, are also introduced. A link between PARATUCK models and constrained PARAFAC models is then established. Finally, new uniqueness properties of PARATUCK models are deduced from sufficient conditions for essential uniqueness of their associated constrained PARAFAC models.
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Article dans une revue
EURASIP Journal on Advances in Signal Processing, SpringerOpen, 2014, 2014 (1), pp.1-41. <10.1186/1687-6180-2014-142>


https://hal.archives-ouvertes.fr/hal-01246040
Contributeur : Gérard Favier <>
Soumis le : vendredi 18 décembre 2015 - 00:15:43
Dernière modification le : vendredi 18 décembre 2015 - 01:11:59

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Gérard Favier, André De Almeida. Overview of constrained PARAFAC models . EURASIP Journal on Advances in Signal Processing, SpringerOpen, 2014, 2014 (1), pp.1-41. <10.1186/1687-6180-2014-142>. <hal-01246040>

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