A projection pursuit technique to reduce the dimensionality of a data set preserving the clustering structure is proposed. It is based on Silverman’s (J R Stat Soc B 43:97–99, 1981) critical bandwidth.We show that critical bandwidth is scale equivariant and this property allows us to keep affine invariance of the projection pursuit solution.



Titolo: Preserving the Clustering Structure by a Projection Pursuit Approach
Autori: 
TORELLI, Nicola
mostra contributor esterni 
Data di pubblicazione: 2010
Abstract: A projection pursuit technique to reduce the dimensionality of a data set preserving the clustering structure is proposed. It is based on Silverman’s (J R Stat Soc B 43:97–99, 1981) critical bandwidth.We show that critical bandwidth is scale equivariant and this property allows us to keep affine invariance of the projection pursuit solution.
Handle: http://hdl.handle.net/11368/2883
ISBN: 9783642037382
Appare nelle tipologie:2.1 Contributo in Volume (Capitolo,Saggio)

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