Efficient discovery of interesting patterns based on strong closedness

Mario Boley, Tamás Horváth, Stefan Wrobel

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

3 Citations (Scopus)


Finding patterns that are interesting to a user in a certain application context is one of the central goals of Data Mining research. Regarding all patterns above a certain frequency threshold as interesting is one way of defining interestingness. In this paper, however, we argue that in many applications, a different notion of interestingness is required in order to be able to capture "long", and thus particularly informative, patterns that are correspondingly of low frequency. To identify such patterns, our proposed measure of interestingness is based on the degree or strength of closedness of the patterns. We show that (a) indeed this definition selects long interesting patterns that are difficult to identify with frequency-based approaches, and (b) that it selects patterns that are robust against noise and/or dynamic changes. We prove that the family of interesting patterns proposed here forms a closure system and use the corresponding closure operator to design a mining algorithm listing these patterns in amortized quadratic time. In particular, for non-sparse datasets its time complexity is O(nm) per pattern, where n denotes the number of items and m the size of the database. This is equal to the best known time bound for listing ordinary closed frequent sets, which is a special case of our problem. We also report empirical results with real-world datasets.

Original languageEnglish
Title of host publicationSociety for Industrial and Applied Mathematics - 9th SIAM International Conference on Data Mining 2009, Proceedings in Applied Mathematics 133
PublisherJohn Wiley & Sons
Number of pages12
ISBN (Print)9781615671090
Publication statusPublished - 2009
Externally publishedYes
EventSIAM International Conference on Data Mining 2009 - Sparks, NV, United States of America
Duration: 30 Apr 20092 May 2009
Conference number: 9th


ConferenceSIAM International Conference on Data Mining 2009
Abbreviated titleSDM 2009
CountryUnited States of America
CitySparks, NV

Cite this