Nonlinear multiclass discriminant analysis

An alternative nonlinear multiclass discriminant algorithm is presented.This algorithm is based on the use of kernel functions and is designed to optimize a general linear discriminant analysis criterion based on scatter matrices.By reformulating these matrices in a specific form,a straightforward derivation a lows the kernel function to be introduced in a simple and direct way.Moreover,we propose a method to determine the value of the regularization parameter,based on this derivation.This work was supported in part by the HPCMO PET program and by the Spanish Ministry of Science and Technolog