Local Linear Correlation Analysis with the SOM

Antonio Piras,Swiss Federal Institute of Technology, Electrical Power Systems Laboratory, 1015 Lausanne, Switzerland,
Alain Germond,Swiss Federal Institute of Technology, Electrical Power Systems Laboratory, 1015 Lausanne, Switzerland
Email: piras@lre.de.epfl.ch


Abstract:

The purpose of this paper is to illustrate methods which can be used to select relevant input variables for non-linear regression. Relevant variables are ones which are though to explain in some extent the behaviour of the process we want model. We propose a method based on the self-organised map which allows to compute the local linear correlation between variables in neighbour subspaces. The graphical ordered plot of the obtained local correlations allows to study the non-linear dependencies of variables and suggests relevant ones.

Paper in PostScript


WSOM'97