Data Mining and Knowledge Discovery

, Volume 26, Issue 3, pp 574–619

Closed and noise-tolerant patterns in n-ary relations


    • Department of Computer ScienceUniversidade Federal de Minas Gerais
  • Jérémy Besson
    • University of Vilnius
  • Kim-Ngan T. Nguyen
    • Université de Lyon, CNRS, INSA, LIRIS, UMR5205
  • Jean-François Boulicaut
    • Université de Lyon, CNRS, INSA, LIRIS, UMR5205

DOI: 10.1007/s10618-012-0284-8

Cite this article as:
Cerf, L., Besson, J., Nguyen, K.T. et al. Data Min Knowl Disc (2013) 26: 574. doi:10.1007/s10618-012-0284-8


Binary relation mining has been extensively studied. Nevertheless, many interesting 0/1 data naturally appear as n-ary relations with n ≥ 3. A timely challenge is to extend local pattern extraction, eg, closed pattern mining, to such contexts. When considering higher arities, faint noise affects more and more the quality of the extracted patterns. We study a declarative specification of error-tolerant patterns by means of new primitive constraints and the design of an efficient algorithm to extract every solution pattern. It exploits the enumeration principles of the state-of-the-art Data-Peeler algorithm for n-ary relation mining. Efficiently enforcing error-tolerance crucially depends on innovative strategies to incrementally compute partial information on the data. Our prototype is tested on both synthetic and real datasets. It returns relevant collections of patterns even in the case of noisy ternary or 4-ary relations, eg, in the context of pattern discovery from dynamic networks.


Boolean tensorMulti-way setFault-toleranceCross-graph quasi-clique

Copyright information

© The Author(s) 2012