On the Rate of Convergence of Local Averaging Plug-In Classification Rules Under a Margin Condition

  • Authors:
  • M. Kohler;A. Krzyzak

  • Affiliations:
  • Saarlandes Univ., Saarbrucken;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2007

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Abstract

The rates of convergence of plug-in kernel, partitioning, and nearest neighbors classification rules are analyzed. A margin condition, which measures how quickly the a posteriori probabilities cross the decision boundary, smoothness conditions on the a posteriori probabilities, and boundedness of the feature vector are imposed. The rates of convergence of the plug-in classifiers shown in this paper are faster than previously known