The problem of clustering probability density functions is emerging in different scientific domains. The methods proposed for clustering probability density functions are mainly focused on univariate settings and are based on heuristic clustering solutions. New aspects of the problem associated with the multivariate setting and a model-based perspective are investigated. The novel approach relies on a hierarchical mixture modeling of the data. The method is introduced in the univariate context and then extended to multivariate densities by means of a factorial model performing dimension reduction. Model fitting is carried out using an EM-algorithm. The proposed method is illustrated through simulated experiments and applied to two real data sets in order to compare its performance with alternative clustering strategies.

Daniela G. Calò, Angela Montanari, Cinzia Viroli (2014). A hierarchical modeling approach for clustering probability density functions. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 71, 79-91.

A hierarchical modeling approach for clustering probability density functions

CALO', DANIELA GIOVANNA;MONTANARI, ANGELA;VIROLI, CINZIA
2014

Abstract

The problem of clustering probability density functions is emerging in different scientific domains. The methods proposed for clustering probability density functions are mainly focused on univariate settings and are based on heuristic clustering solutions. New aspects of the problem associated with the multivariate setting and a model-based perspective are investigated. The novel approach relies on a hierarchical mixture modeling of the data. The method is introduced in the univariate context and then extended to multivariate densities by means of a factorial model performing dimension reduction. Model fitting is carried out using an EM-algorithm. The proposed method is illustrated through simulated experiments and applied to two real data sets in order to compare its performance with alternative clustering strategies.
2014
Daniela G. Calò, Angela Montanari, Cinzia Viroli (2014). A hierarchical modeling approach for clustering probability density functions. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 71, 79-91.
Daniela G. Calò; Angela Montanari; Cinzia Viroli
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/191337
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