Approximating concept stability

  • Authors:
  • Mikhail A. Babin;Sergei O. Kuznetsov

  • Affiliations:
  • Higher School of Economics, National Research University, Moscow, Russia;Higher School of Economics, National Research University, Moscow, Russia

  • Venue:
  • ICFCA'12 Proceedings of the 10th international conference on Formal Concept Analysis
  • Year:
  • 2012

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Abstract

Concept stability was used in numerous applications for selecting concepts as biclusters of similar objects. However, scalability remains a challenge for computing stability. The best algorithms known so far have algorithmic complexity quadratic in the size of the lattice. In this paper the problem of approximate stability computation is analyzed. An approximate algorithm for computing stability is proposed. Its computational complexity and results of computer experiments in comparing stability index and its approximations are discussed.