Artigo em revista científica Q1
Enhancing the selection of a model-based clustering with external categorical variables
Baudry, J.-P. (Baudry, J.-P.); Margarida G. M. S. Cardoso (Cardoso, M. G. M. S.); Gilles Celeux (Celeux, G.); Maria José Amorim (Amorim, M. J.); Ana Sousa Ferreira (Ferreira, A. S.);
Título Revista
Advances in Data Analysis and Classification
Ano
2015
Língua
Inglês
País
Alemanha
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Abstract/Resumo
In cluster analysis, it can be useful to interpret the partition built from the data in the light of external categorical variables which are not directly involved to cluster the data. An approach is proposed in the model-based clustering context to select a number of clusters which both fits the data well and takes advantage of the potential illustrative ability of the external variables. This approach makes use of the integrated joint likelihood of the data and the partitions at hand, namely the model-based partition and the partitions associated to the external variables. It is noteworthy that each mixture model is fitted by the maximum likelihood methodology to the data, excluding the external variables which are used to select a relevant mixture model only. Numerical experiments illustrate the promising behaviour of the derived criterion.
Agradecimentos/Acknowledgements
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Palavras-chave
Mixture models,Model-based clustering,Number of clusters,Penalised criteria,Categorical variables,BIC,ICL,Mixed type variables clustering
  • Matemáticas - Ciências Naturais
Registos de financiamentos
Referência de financiamento Entidade Financiadora
UID/GES/00315/2013 Fundação para a Ciência e a Tecnologia