Multilayer statistical classifiers

  • Authors:
  • Smarajit Bose

  • Affiliations:
  • Star-Math Unit, Indian Statistical Institute, 203 B.T. Road, Calcutta 700035, India

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2003

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Abstract

A number of methods based on nonparametric regression have been developed in the last few years which are capable of approximating highly nonlinear class boundaries in classification problems. Bose (Comput. Statist. Data Anal. 22 (1996) 505) used additive splines for estimating the conditional class probabilities, and showed that the resulting method classification using splines (CUS) can achieve reasonably low misclassification error rates in many problems.This paper presents a powerful modification of CUS which we call the method of successive projections. This method can be used for any nonparametric regression based classification method but has been illustrated in this paper using mainly CUS, for simplicity and computational considerations. It seems to reduce the misclassification error rate of CUS in complex problems.