Title :
Nonlinear multiclass discriminant analysis
Author :
Ma, Junshui ; Sancho-Gómez, José L. ; Ahalt, Stanley C.
Author_Institution :
Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA
fDate :
7/1/2003 12:00:00 AM
Abstract :
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 allows 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 /spl tau/, based on this derivation.
Keywords :
feature extraction; matrix algebra; feature extraction; kernel function; kernel functions; linear discriminant analysis; nonlinear classification boundaries; nonlinear multiclass discriminant algorithm; nonlinear multiclass discriminant analysis; regularization parameter; scatter matrices; synthetic three-class problem; Algorithm design and analysis; Communication system control; Design optimization; Feature extraction; Kernel; Linear discriminant analysis; Numerical stability; Positron emission tomography; Scattering; Vectors;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2003.813680
