Approximation of Frequency Queris by Means of Free-Sets

  • Authors:
  • Jean-Francois Boulicaut;Artur Bykowski;Christophe Rigotti

  • Affiliations:
  • -;-;-

  • Venue:
  • PKDD '00 Proceedings of the 4th European Conference on Principles of Data Mining and Knowledge Discovery
  • Year:
  • 2000

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Abstract

Given a large collection of transactions containing items, a basic common data mining problem is to extract the so-called frequent itemsets (i.e., set of items appearing in at least a given number of transactions). In this paper, we propose a structure called free-sets, from which we can approximate any itemset support (i.e., the number of transactions containing the itemset) and we formalize this notion in the framework of Ɛ-adequate representation [10]. We show that frequent free-sets can be efficiently extracted using pruning strategies developed for frequent item-set discovery, and that they can be used to approximate the support of any frequent itemset. Experiments run on real dense data sets show a significant reduction of the size of the output when compared with standard frequent itemsets extraction. Furthermore, the experiments show that the extraction of frequent free-sets is still possible when the extraction of frequent itemsets becomes intractable. Finally, we show that the error made when approximating frequent itemset support remains very low in practice.