4. The method of claim 1 wherein said step of executing said training stage includes a step of providing a plurality of said weights for each said Gaussian kernel density function.
1. A computer-implemented method of classifying a pattern into one of two classes, a class-of-interest and a class-other, comprising the steps of: receiving a training set of class-of-interest patterns, a set of unlabeled patterns from an input-data-set, and an estimate of the a priori probability of said class-of-interest in said input-data-set, said input-data-set being at least one of any image, video or speech data set; selecting a predetermined number of Gaussian kernel densities functions; selecting parameter values for said Gaussian kernel densities functions where said selected parameter values cause said Gaussian kernel densities to approximate the probability density function of said input-data-set; executing a training stage using said a priori probability of said class-of-interest, said training set of class-of-interest patterns, and said unlabeled patterns from said input-data-set, said training stage including a step of least squares approximation of a class-of-interest posterior distribution function using a linear combination of weighted said Gaussian kernel density functions; classifying said pattern from said input-data-set as being either said class-of-interest or said class-other in accordance with a conditional test defined by a adaptive Bayes decision rule; and wherein said pattern from said input-data-set is classified with minimum error as said class-of-interest or said class-other using said adaptive Bayes decision rule, where said adaptive Bayes decision rule is defined using said a priori probability of said class-of-interest, said training set of class-of-interest patterns, and said unlabeled patterns from said input-data-set, and without any a priori knowledge of said class-other.