Fast algorithm for computing fixpoints of Galois connections induced by object-attribute relational data

  • Authors:
  • Jan Outrata;Vilem Vychodil

  • Affiliations:
  • Dept. Computer Science, Palacky University, 771 46 Olomouc, Czech Republic;Dept. Computer Science, Palacky University, 771 46 Olomouc, Czech Republic

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2012

Quantified Score

Hi-index 0.07

Visualization

Abstract

Fixpoints of Galois connections induced by object-attribute data tables represent important patterns that can be found in relational data. Such patterns are used in several data mining disciplines including formal concept analysis, frequent itemset and association rule mining, and Boolean factor analysis. In this paper we propose efficient algorithm for listing all fixpoints of Galois connections induced by object-attribute data. The algorithm, called FCbO, results as a modification of Kuznetsov's CbO in which we use more efficient canonicity test. We describe the algorithm, prove its correctness, discuss efficiency issues, and present an experimental evaluation of its performance and comparison with other algorithms.