Partition-based and sharp uniform error bounds

  • Authors:
  • E. Bax

  • Affiliations:
  • Dept. of Math. & Comput. Sci., Richmond Univ., VA

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 1999

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Abstract

This paper develops probabilistic bounds on out-of-sample error rates for several classifiers using a single set of in-sample data. The bounds are based on probabilities over partitions of the union of in-sample and out-of-sample data into in-sample and out-of-sample data sets, The bounds apply when in-sample and out-of-sample data are drawn from the same distribution. Partition-based bounds are stronger than the Vapnik-Chervonenkis bounds, but they require more computation