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ERIC Number: EJ922107
Record Type: Journal
Publication Date: 2006-Jun
Pages: 11
Abstractor: As Provided
Reference Count: 13
ISBN: N/A
ISSN: ISSN-0033-3123
Sufficient Conditions for Uniqueness in Candecomp/Parafac and Indscal with Random Component Matrices
Stegeman, Alwin; Ten Berge, Jos M. F.; De Lathauwer, Lieven
Psychometrika, v71 n2 p219-229 Jun 2006
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.
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A