Issue No. 07 - July (2009 vol. 31)
Jesus Rene Villalobos , Arizona State University, Tempe
Rong Pan , Arizona State University, Tempe
George C. Runger , Arizona State University, Tempe
Hugo C. Garcia , L3, Electro-Optical Systems, Tempe
This paper proposes a new feature selection methodology. The methodology is based on the stepwise variable selection procedure, but, instead of using the traditional discriminant metrics such as Wilks' Lambda, it uses an estimation of the misclassification error as the figure of merit to evaluate the introduction of new features. The expected misclassification error rate (MER) is obtained by using the densities of a constructed function of random variables, which is the stochastic representation of the conditional distribution of the quadratic discriminant function estimate. The application of the proposed methodology results in significant savings of computational time in the estimation of classification error over the traditional simulation and cross-validation methods. One of the main advantages of the proposed method is that it provides a direct estimation of the expected misclassification error at the time of feature selection, which provides an immediate assessment of the benefits of introducing an additional feature into an inspection/classification algorithm.
Feature selection, misclassification error rate, quadratic discriminant function.
Jesus Rene Villalobos, Rong Pan, George C. Runger, Hugo C. Garcia, "A Novel Feature Selection Methodology for Automated Inspection Systems", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 31, no. , pp. 1338-1344, July 2009, doi:10.1109/TPAMI.2008.276