In the class of mixtures with random covariates, the generalized linear Gaussian cluster-weighted model (GLGCWM) has been recently proposed; in each mixture component, it models the response variable within the exponential family of distributions and the vector of real-valued covariates according to the multivariate Gaussian distribution. Due to the number of free parameters of each covariance matrix of the component Gaussian distributions, a family of fourteen parsimonious GLGCWMs is here introduced by applying some constraints on the eigen decomposition of these matrices. This novel family of models is also applied to a real data set where it gives good classification performance, especially when compared with more established mixture-based approaches.

Parsimony in Mixtures with Random Covariates

INGRASSIA, Salvatore;PUNZO, ANTONIO
2013

Abstract

In the class of mixtures with random covariates, the generalized linear Gaussian cluster-weighted model (GLGCWM) has been recently proposed; in each mixture component, it models the response variable within the exponential family of distributions and the vector of real-valued covariates according to the multivariate Gaussian distribution. Due to the number of free parameters of each covariance matrix of the component Gaussian distributions, a family of fourteen parsimonious GLGCWMs is here introduced by applying some constraints on the eigen decomposition of these matrices. This novel family of models is also applied to a real data set where it gives good classification performance, especially when compared with more established mixture-based approaches.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/85764
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