Decomposing probability distributions on structured individuals

  • Authors:
  • Peter A. Flach;Nicolas Lachiche

  • Affiliations:
  • -;-

  • Venue:
  • Decomposing probability distributions on structured individuals
  • Year:
  • 2000

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Abstract

Naive Bayesian classifiers are very successful in attribute-value representations. However, it is not clear how the decomposition of the probability distributions on attribute-value tuples underlying those classifiers can be applied on structured individuals, for instance sets of tuples as in the multiple instance problem. This paper presents a decomposition of probability distributions on structured individuals. It shows how it results in a propositionalisation of the data guided by the decomposition of the structure of the individual. This is illustrated by using the first-order naive Bayesian classifier 1BC to perform the decomposition of probability distributions on structured individuals.