The influence function of the TCLUST robust clustering procedure

Ruwet, Christel; García-Escudero, Luis Angel; Gordaliza, Alfonso; Mayo-Iscar, Agustin

doi:10.1007/s11634-012-0107-1

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The influence function of the TCLUST robust clustering procedure

Ruwet, Christel; García-Escudero, Luis Angel; Gordaliza, Alfonso et al.

2012 • In Advances in Data Analysis and Classification, 6 (2), p. 107-130

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https://hdl.handle.net/2268/92958

DOI
10.1007/s11634-012-0107-1

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Keywords :

Heterogeneous Clustering; Influence function; Robustness; Trimmin

Abstract :

[en] The TCLUST procedure performs robust clustering with the aim of finding clusters with different scatter structures and proportions. An Eigenvalue Ratio constraint is considered by TCLUST in order to avoid finding spurious clusters. In order to guarantee the robustness of the method against the presence of outliers and background noise, the method allows for trimming of a given proportion of observations self determined by the data. This article studies robustness properties of the TCLUST procedure by means of the influence function, obtaining a robustness behavior close to that of the trimmed k-means.

Disciplines :

Mathematics

Author, co-author :

Ruwet, Christel ; Université de Liège - ULiège > Département de mathématique > Statistique mathématique

García-Escudero, Luis Angel; Universidad deValladolid - UVa

Gordaliza, Alfonso; Universidad deValladolid - UVa

Mayo-Iscar, Agustin; Universidad deValladolid - UVa

Language :

English

Title :

The influence function of the TCLUST robust clustering procedure

Publication date :

2012

Journal title :

Advances in Data Analysis and Classification

ISSN :

1862-5347

eISSN :

1862-5355

Publisher :

Springer, Germany

Volume :

Issue :

Pages :

107-130

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

Spanish Ministerio de Ciencia e Innovación
FWB - Fédération Wallonie-Bruxelles

Available on ORBi :

since 15 June 2011

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