Worst-Case Analysis of Rule Discovery

  • Authors:
  • Einoshin Suzuki

  • Affiliations:
  • -

  • Venue:
  • DS '01 Proceedings of the 4th International Conference on Discovery Science
  • Year:
  • 2001

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Abstract

In this paper, we perform a worst-case analysis of rule discovery. A rule is defined as a probabilistic constraint of true assignment to the class attribute of corresponding examples. In data mining, a rule can be considered as representing an important class of discovered patterns. We accomplish the aforementioned objective by extending a preliminary version of PAC learning, which represents a worst-case analysis for classification. Our analysis consists of two cases: the case in which we try to avoid finding a bad rule, and the case in which we try to avoid overlooking a good rule. Discussions on related works are also provided for PAC learning, multiple comparison, analysis of association rule discovery, and simultaneous reliability evaluation of a discovered rule.