Abstract: Some aspects of design of the discriminant functions that in the best way separate points of predefined final sets are considered. The concept is introduced of the nested discriminant functions which allow to separate correctly points of any of the final sets. It is proposed to apply some methods of non-smooth optimization to solve arising extremal problems efficiently.

Keywords: cluster, solving rule, discriminant function, linear and non-linear programming, non-smooth optimization

ACM Classification Keywords: G.1.6 Optimization - Gradient methods, I.5 Pattern Recognition; I.5.2 Design Methodology - Classifier design and evaluation

Link:

EXACT DISCRIMINANT FUNCTION DESIGN USING SOME OPTIMIZATION TECHNIQUES

Yury Laptin, Alexander Vinogradov

http://foibg.com/ibs_isc/ibs-08/ibs-08-p02.pdf