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: | |
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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