An approach to the evaluation of the performance of a discrete classifier

  • Authors:
  • Vladimir B. Berikov

  • Affiliations:
  • Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 2002

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Abstract

The problem studied is the behavior of a discrete classifier on a finite learning sample. With naive Bayes approach, the value of misclassification probability is represented as a random function, for which the first two moments are analytically derived. For arbitrary distributions, this allows evaluating learning sample size sufficient for the classification with given admissible misclassification probability and confidence level. The comparison with statistical learning theory shows that the suggested approach frequently recommends significantly smaller learning sample size.