Simultaneous Component Analysis by Means of Tucker3

Alwin Stegeman ()
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Alwin Stegeman: KU Leuven – Kulak

Psychometrika, 2018, vol. 83, issue 1, No 2, 47 pages

Abstract: Abstract A new model for simultaneous component analysis (SCA) is introduced that contains the existing SCA models with common loading matrix as special cases. The new SCA-T3 model is a multi-set generalization of the Tucker3 model for component analysis of three-way data. For each mode (observational units, variables, sets) a different number of components can be chosen and the obtained solution can be rotated without loss of fit to facilitate interpretation. SCA-T3 can be fitted on centered multi-set data and also on the corresponding covariance matrices. For this purpose, alternating least squares algorithms are derived. SCA-T3 is evaluated in a simulation study, and its practical merits are demonstrated for several benchmark datasets.

Keywords: simultaneous components analysis; multi-set data; tucker; parafac; rotation (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s11336-017-9568-7

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