Grouping of objects in a space of heterogeneous variables with the use of taxonomic decision trees

  • Authors:
  • V. B. Berikov

  • Affiliations:
  • Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia 630090

  • Venue:
  • Pattern Recognition and Image Analysis
  • Year:
  • 2011

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Abstract

A problem of classification of objects in the presence of heterogeneous (qualitative, ordinal, nominal, and Boolean) variables is considered. Taxonomic decision trees are used to solve the problem. A quality criterion for a tree is introduced that is based on the Bayesian estimate of the Kullback-Leibler distance between distributions. Statistical modeling is applied to show the efficiency of an algorithm for constructing a tree that uses this criterion.