A Generalized INDCLUS model, termed GINDCLUS, is presented for clustering three-way two-mode proximity data. In order to account for the heterogeneity of the data, both a partition of the subjects into homogeneous classes and a covering of the objects into groups are simultaneously determined. Furthermore, the availability of information which is external to the three-way data is exploited to better account for such heterogeneity: the weights of both classifications are linearly linked to external variables allowing for the identification of meaningful classes of subjects and groups of objects. The model is fitted in a least-squares framework, and an efficient Alternating Least-Squares algorithm is provided. An extensive simulation study and an application on benchmark data are also presented.

GINDCLUS: Generalized INDCLUS with External Information / Bocci, Laura; Vicari, Donatella. - In: PSYCHOMETRIKA. - ISSN 0033-3123. - STAMPA. - 82:2(2017), pp. 355-381. [10.1007/s11336-016-9526-9]

GINDCLUS: Generalized INDCLUS with External Information

BOCCI, Laura;VICARI, Donatella
2017

Abstract

A Generalized INDCLUS model, termed GINDCLUS, is presented for clustering three-way two-mode proximity data. In order to account for the heterogeneity of the data, both a partition of the subjects into homogeneous classes and a covering of the objects into groups are simultaneously determined. Furthermore, the availability of information which is external to the three-way data is exploited to better account for such heterogeneity: the weights of both classifications are linearly linked to external variables allowing for the identification of meaningful classes of subjects and groups of objects. The model is fitted in a least-squares framework, and an efficient Alternating Least-Squares algorithm is provided. An extensive simulation study and an application on benchmark data are also presented.
2017
clustering; external information; INDCLUS; three-way proximity data; Psychology (all); Applied Mathematics
01 Pubblicazione su rivista::01a Articolo in rivista
GINDCLUS: Generalized INDCLUS with External Information / Bocci, Laura; Vicari, Donatella. - In: PSYCHOMETRIKA. - ISSN 0033-3123. - STAMPA. - 82:2(2017), pp. 355-381. [10.1007/s11336-016-9526-9]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/908108
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