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Constrained principal component analysis and related techniques

In multivariate data analysis, regression techniques predict one set of variables from another while principal component analysis (PCA) finds a subspace of minimal dimensionality that captures the largest variability in the data. How can regression analysis and PCA be combined in a beneficial way? W...

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Detalles Bibliográficos
Autor principal: Takane, Yoshio
Lenguaje:eng
Publicado: Taylor and Francis 2013
Materias:
Acceso en línea:http://cds.cern.ch/record/1633706
Descripción
Sumario:In multivariate data analysis, regression techniques predict one set of variables from another while principal component analysis (PCA) finds a subspace of minimal dimensionality that captures the largest variability in the data. How can regression analysis and PCA be combined in a beneficial way? Why and when is it a good idea to combine them? What kind of benefits are we getting from them? Addressing these questions, Constrained Principal Component Analysis and Related Techniques shows how constrained PCA (CPCA) offers a unified framework for these approaches.The book begins with four concre