A nonlinear discriminant algorithm for feature extraction and data classification

摘要

Presents a nonlinear supervised feature extraction algorithm that combines Fisher's criterion function with a preliminary perceptron-like nonlinear projection of vectors in pattern space. Its main motivation is to combine the approximation properties of multilayer perceptrons (MLPs) with the target free nature of Fisher's classical discriminant analysis. In fact, although MLPs provide good classifiers for many problems, there may be some situations, such as unequal class sizes with a high degree of pattern mixing among them, that may make difficult the construction of good MLP classifiers. In these instances, the features extracted by our procedure could be more effective. After the description of its construction and the analysis of its complexity, we illustrate its use over a synthetic problem with the above characteristics.