Sparse Tucker2 analysis of three-way data subject to a constrained number of zero elements in a core array

• Published in: Computational statistics & data analysis Vol. 98; pp. 1 - 18
• Main Authors: Ikemoto, Hiroki, Adachi, Kohei
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.06.2016
• Subjects: algorithms; Arrays; Constraints; Core loss; data collection; least squares; Least squares method; Mathematical analysis; Mathematical models; Optimization; Parafac; principal component analysis; Sparse core arrays; Sparse principal component analysis; Statistics; Three-way principal component analysis; Tucker2; Sparse core arrays; Three-way principal component analysis; Tucker2; Parafac; Sparse principal component analysis
• ISSN: 0167-9473; 1872-7352
• DOI: 10.1016/j.csda.2015.12.007

Three-way principal component analysis (3WPCA) models have been developed for analyzing a three-way data array of objects × variables × sources. Among the 3WPCA models, the least restrictive is the Tucker2 model, in which an extended core array describes the source-specific relationships between the...