%0 %0 Journal Article %A Stumme, Gerd; Taouil, Rafik; Bastide, Yves; Pasquier, Nicolas & Lakhal, Lotfi %D 2002 %T Computing iceberg concept lattices with TITANIC %E %B Data \& Knowledge Engineering %C %I Elsevier Science Publishers B. V. %V 42 %6 %N 2 %P 189--222 %& %Y %S %7 %8 %9 %? %! %Z %@ 0169-023X %( %) %* %L %M %1 %2 %3 article %4 %# %$ %F stumme2002computing %K titanic, itegpub, icfca, l3s, fca, myown, citedBy:doerfel2012publication %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. %Z %U http://portal.acm.org/citation.cfm?id=606457 %+ %^