Generalization error of multinomial classifier

  • Authors:
  • Sarunas Raudys

  • Affiliations:
  • Vilnius Gediminas Technical University, Vilnius, Lithuania

  • Venue:
  • SSPR'06/SPR'06 Proceedings of the 2006 joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
  • Year:
  • 2006

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Abstract

Equation for generalization error of Multinomial classifier is derived and tested. Particular attention is paid to imbalanced training sets. It is shown that artificial growth of training vectors of less probable class could be harmful. Use of predictive Bayes approach to estimate cell probabilities of the classifier reduces both the generalization error and effect of unequal training sample sizes.