The Reduced Parzen Classifier

  • Authors:
  • K. Fukunaga;R. R. Hayes

  • Affiliations:
  • Purdue Univ., West Lafayett, IN;Purdue Univ., West Lafayett, IN

  • Venue:
  • IEEE Transactions on Pattern Analysis and Machine Intelligence
  • Year:
  • 1989

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Abstract

The Parzen density estimate is known to be an effective tool for estimating the Bayes error, given a set of training samples from the class distributions. An algorithm is developed to select a given number of representative samples whose Parzen density estimate closely matches that of the entire sample set. Using this reduced representative set, a piecewise quadratic classifier which provides nearly optimal performance is designed.