TY - JOUR AU - Stumme, Gerd AU - Taouil, Rafik AU - Bastide, Yves AU - Pasquier, Nicolas AU - Lakhal, Lotfi T1 - Computing iceberg concept lattices with TITANIC JO - Data & Knowledge Engineering PY - 2002/08 VL - 42 IS - 2 SP - 189 EP - 222 UR - http://portal.acm.org/citation.cfm?id=606457 M3 - 10.1016/S0169-023X(02)00057-5 KW - titanic KW - concept KW - iceberg KW - fca KW - kdd KW - computing L1 - SN - N1 - N1 - AB - 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. ER - TY - JOUR AU - Stumme, Gerd AU - Taouil, Rafik AU - Bastide, Yves AU - Pasquier, Nicolas AU - Lakhal, Lotfi T1 - Computing iceberg concept lattices with TITANIC JO - Data & Knowledge Engineering PY - 2002/08 VL - 42 IS - 2 SP - 189 EP - 222 UR - http://portal.acm.org/citation.cfm?id=606457 M3 - 10.1016/S0169-023X(02)00057-5 KW - lattice KW - titanic KW - concept KW - formal KW - iceberg KW - analysis KW - fca L1 - SN - N1 - N1 - AB - 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. ER -