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Showing papers by "Boris Mirkin published in 1990"


Journal ArticleDOI
TL;DR: The sequential fitting (SEFIT) approach of principal component analysis is extended to include several nonstandard data analysis and classification tasks and new methods are developed for both traditional and fuzzy clustering.
Abstract: A particular factor analysis model with parameter constraints is generalized to include classification problems definable within a framework of fitting linear models The sequential fitting (SEFIT) approach of principal component analysis is extended to include several nonstandard data analysis and classification tasks SEFIT methods attempt to explain the variability in the initial data (commonly defined by a sum of squares) through an additive decomposition attributable to the various terms in the model New methods are developed for both traditional and fuzzy clustering that have useful theoretic and computational properties (principal cluster analysis, additive clustering, and so on) Connections to several known classification strategies are also stated

46 citations