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.

Preserving the Clustering Structure by a Projection Pursuit Approach

TORELLI, Nicola
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.
9783642037382
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11368/2883
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