%0 Journal Article
%1 stumme2002computing
%A Stumme, Gerd
%A Taouil, Rafik
%A Bastide, Yves
%A Pasquier, Nicolas
%A Lakhal, Lotfi
%C Amsterdam, The Netherlands, The Netherlands
%D 2002
%I Elsevier Science Publishers B. V.
%J Data & Knowledge Engineering
%K citedBy:doerfel2012publication fca icfca itegpub l3s myown titanic
%N 2
%P 189--222
%T Computing iceberg concept lattices with TITANIC
%U http://portal.acm.org/citation.cfm?id=606457
%V 42
%X We introduce the notion of iceberg concept lattices
                   and show their use in knowledge discovery in
                   databases. Iceberg lattices are a conceptual
                   clustering method, which is well suited for analyzing
                   very large databases. They also serve as a condensed
                   representation of frequent itemsets, as starting
                   point for computing bases of association rules, and
                   as a visualization method for association rules.
                   Iceberg concept lattices are based on the theory of
                   Formal Concept Analysis, a mathematical theory with
                   applications in data analysis, information retrieval,
                   and knowledge discovery. We present a new algorithm
                   called TITANIC for computing (iceberg) concept
                   lattices. It is based on data mining techniques with
                   a level-wise approach. In fact, TITANIC can be used
                   for a more general problem: Computing arbitrary
                   closure systems when the closure operator comes along
                   with a so-called weight function. The use of weight
                   functions for computing closure systems has not been
                   discussed in the literature up to now. Applications
                   providing such a weight function include association
                   rule mining, functional dependencies in databases,
                   conceptual clustering, and ontology engineering. The
                   algorithm is experimentally evaluated and compared
                   with Ganter's Next-Closure algorithm. The evaluation
                   shows an important gain in efficiency, especially for
                   weakly correlated data.