Multiclass discriminant mappings
Signal Processing
Linear Discriminant Analysis for Two Classes via Removal of Classification Structure
IEEE Transactions on Pattern Analysis and Machine Intelligence
SSPR '98/SPR '98 Proceedings of the Joint IAPR International Workshops on Advances in Pattern Recognition
Nonparametric discriminant analysis via recursive optimization ofPatrick-Fisher distance
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
| Hi-index | 0.00 |
A method for the linear discrimination of two classes has been proposed by us in [3]. It searches for the discriminant direction which maximizes the distance between the projected class-conditional densities. It is a nonparametric method in the sense that the densities are estimated from the data. Since the distance between the projected densities is a highly nonlinear function with respect to the projected direction we maximize the objective function by an iterative optimization algorithm. The solution of this algorithm depends strongly on the starting point of the optimizer and the observed maximum can be merely a local maximum. In [3] we proposed a procedure for recursive optimization which searches for several local maxima of the objective function ensuring that a maximum already found will not be chosen again at a later stage. In this paper we refine this method.We propose a procedure which provides a batch mode optimization instead an interactive optimization employed in [3]. By means of a simulation we compare our procedure and the conventional optimization starting optimizers at random. The results obtained confirm the efficacy of our method.