Factor PD-Clustering
Tortora, Cristina; Gettler-Summa, Mireille; Palumbo, Francesco (2013), Factor PD-Clustering, in Lausen, Berthold; Van der Poel, Dirk; Ultsch, Alfred, Algorithms from and for Nature and Life, Springer : Berlin, p. 115-123. http://dx.doi.org/10.1007/978-3-319-00035-0_11
Type
Chapitre d'ouvrageExternal document link
http://arxiv.org/abs/1106.3830v3Date
2013Book title
Algorithms from and for Nature and LifeBook author
Lausen, Berthold; Van der Poel, Dirk; Ultsch, AlfredPublisher
Springer
Published in
Berlin
ISBN
978-3-319-00034-3
Number of pages
547Pages
115-123
Publication identifier
Metadata
Show full item recordAuthor(s)
Tortora, CristinaCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Gettler-Summa, Mireille
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Palumbo, Francesco
DIPARTIMENTO DI TEORIE E METODI DELLE SCIENZE UMANE E SOCIALI
Abstract (EN)
Probabilistic Distance (PD) Clustering is a non parametric probabilistic method to find homogeneous groups in multivariate datasets with J variables and n units. PD Clustering runs on an iterative algorithm and looks for a set of K group centers, maximising the empirical probabilities of belonging to a cluster of the n statistical units. As J becomes large the solution tends to become unstable. This paper extends the PD-Clustering to the context of Factorial clustering methods and shows that Tucker3 decomposition is a consistent transformation to project original data in a subspace defined according to the same PD-Clustering criterion. The method consists of a two step iterative procedure: a linear transformation of the initial data and PD-clustering on the transformed data. The integration of the PD Clustering and the Tucker3 factorial step makes the clustering more stable and lets us consider datasets with large J and let us use it in case of clusters not having elliptical form.Subjects / Keywords
Multivariate analysis; Exploratory data analysis; Clustering; Factorial clustering; Non hierarchical iterative clusteringRelated items
Showing items related by title and author.
-
Tortora, Cristina; Palumbo, Francesco; Gettler-Summa, Mireille (2010) Communication / Conférence
-
Summa, Mireille; Palumbo, Francesco; Tortora, Cristina (2010) Communication / Conférence
-
Gettler-Summa, Mireille; Goldfarb, Bernard; Vichi, Maurizio (2011) Chapitre d'ouvrage
-
Gettler-Summa, Mireille; Goldfarb, Bernard (2009-11-16) Communication / Conférence
-
Gettler-Summa, Mireille (1998) Document de travail / Working paper