Greedy Algorithm for Construction of Partial Association Rules

  • Authors:
  • Mikhail Ju. Moshkov;Marcin Piliszczuk;Beata Zielosko

  • Affiliations:
  • (Correspd.) Division of Mathematical and Computer Science and Engineering, King Abdullah University of Science and Technology, P.O. Box 55455, Jeddah 21534, Saudi Arabia. mikhail.moshkov@kaust.edu ...;ING Bank Śląski S.A. 34, Sokolska St., Katowice 40-086, Poland. marcin.piliszczuk@ingbank.pl;Institute of Computer Science, University of Silesia 39, Bȩdzińska St., Sosnowiec 41-200, Poland. beata.zielosko@us.edu.pl

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 2009

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Abstract

Partial association rules can be used for representation of knowledge, for inference in expert systems, for construction of classifiers, and for filling missing values of attributes. This paper is devoted to the study of approximate algorithms for minimization of partial association rule length. It is shown that under some natural assumptions on the class NP, a greedy algorithm is close to the best polynomial approximate algorithms for solving of this NP-hard problem. The paper contains various bounds on precision of the greedy algorithm, bounds on minimal length of rules based on an information obtained during the greedy algorithm work, and results of theoretical and experimental study of association rules for the most part of binary information systems.