Some uniqueness results for PARAFAC2

DOI10.1007/BF02296962zbMath0873.62059OpenAlexW1988083567MaRDI QIDQ676533

Jos M. F. ten Berge, Henk A. L. Kiers

Publication date: 29 April 1997

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02296962

zbMATH Keywords

three-way analysiscovariance matricesdiagonal matrices of weightsPARAFAC2 modelrank two casestationary component analysisuniqueness properties

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25)

Related Items

Estimating latent trends in multivariate longitudinal data via Parafac2 with functional and structural constraints, Simultaneous component analysis by means of Tucker3, The special sign indeterminacy of the direct-fitting Parafac2 model: some implications, cautions, and recommendations for simultaneous component analysis, Uniqueness proof for a family of models sharing features of Tucker's three-mode factor analysis and PARAFAC/CANDECOMP, An AO-ADMM Approach to Constraining PARAFAC2 on All Modes

Uses Software

• PARAFAC

Cites Work

• Unnamed Item
• Uniqueness proof for a family of models sharing features of Tucker's three-mode factor analysis and PARAFAC/CANDECOMP
• Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• An alternating least squares algorithm for PARAFAC2 and three-way DEDICOM