Sufficient Conditions for Uniqueness in Candecomp/Parafac and Indscal with Random Component Matrices

Autor/inn/en	Stegeman, Alwin; Ten Berge, Jos M. F.; De Lathauwer, Lieven
Titel	Sufficient Conditions for Uniqueness in Candecomp/Parafac and Indscal with Random Component Matrices
Quelle	In: Psychometrika, 71 (2006) 2, S.219-229 (11 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0033-3123
DOI	10.1007/11336-006-1278-2
Schlagwörter	Goodness of Fit; Matrices; Factor Analysis; Models; Statistical Analysis + Suchen Sie Ihr Suchwort? Matrizenrechnung; Faktorenanalyse; Analogiemodell; Statistische Analyse
Abstract	A key feature of the analysis of three-way arrays by Candecomp/Parafac is the essential uniqueness of the trilinear decomposition. We examine the uniqueness of the Candecomp/Parafac and Indscal decompositions. In the latter, the array to be decomposed has symmetric slices. We consider the case where two component matrices are randomly sampled from a continuous distribution, and the third component matrix has full column rank. In this context, we obtain almost sure sufficient uniqueness conditions for the Candecomp/Parafac and Indscal models separately, involving only the order of the three-way array and the number of components in the decomposition. Both uniqueness conditions are closer to necessity than the classical uniqueness condition by Kruskal. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10