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
2010-01-01
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.File in questo prodotto:
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