Extraction of frequent few-overlapped monotone DNF formulas with depth-first pruning

  • Authors:
  • Yoshikazu Shima;Kouichi Hirata;Masateru Harao

  • Affiliations:
  • Graduate School of Computer Science and Systems Engineering;Department of Artificial Intelligence, Kyushu Institute of Technology, Iizuka, Japan;Department of Artificial Intelligence, Kyushu Institute of Technology, Iizuka, Japan

  • Venue:
  • PAKDD'05 Proceedings of the 9th Pacific-Asia conference on Advances in Knowledge Discovery and Data Mining
  • Year:
  • 2005

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Abstract

In this paper, first we introduce frequent few-overlapped monotone DNF formulas under the minimum supportσ, the minimum term supportτ and the maximum overlapλ. We say that a monotone DNF formula is frequent if the support of it is greater than σ and the support of each term (or itemset) in it is greater than τ, and few-overlapped if the overlap of it is less than λ and λ τ.Then, we design the algorithm ffo_dnf to extract them. The algorithm ffo_dnf first enumerates all of the maximal frequent itemsets under τ, and secondly connects the extracted itemsets by a disjunction ∨ until satisfying σ and λ. The first step of ffo_dnf, called a depth-first pruning, follows from the property that every pair of itemsets in a few-overlapped monotone DNF formula is incomparable under a subset relation. Furthermore, we show that the extracted formulas by ffo_dnf are representative.Finally, we apply the algorithm ffo_dnf to bacterial culture data.