PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Non-redundant Subgroup Discovery Using a Closure System
Mario Boley and Henrik Grosskreutz
In: European Conf. Machine Learning and Knowledge Discovery in Databases, 7-11 Dec 2009, Bled, Slovenia.

Abstract

Subgroup discovery is a local pattern discovery task, in which descriptions of subpopulations of a database are evaluated against some quality function. As standard quality functions are functions of the described subpopulation, we propose to search for equivalence classes of descriptions with respect to their extension in the database rather than individual descriptions. These equivalence classes have unique maximal representatives forming a closure system. We show that minimum cardinality representatives of each equivalence class can be found during the enumeration process of that closure system without additional cost, while finding a minimum representative of a single equivalence class is NP-hard. With several real-world datasets we demonstrate that search space and output are significantly reduced by considering equivalence classes instead of individual descriptions and that the minimum representatives constitute a family of subgroup descriptions that is of same or better expressive power than those generated by traditional methods.

EPrint Type:Conference or Workshop Item (Paper)
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Theory & Algorithms
ID Code:6763
Deposited By:Mario Boley
Deposited On:08 March 2010