2009 ClosedPatternsMeetNaryRelations

(Cerf et al., 2009) ⇒ Loïc Cerf, Jérémy Besson, Céline Robardet, Jean-François Boulicaut. (2009). “Closed Patterns Meet n-ary Relations.” In: ACM Transactions on Knowledge Discovery from Data (TKDD), 3(1). doi:10.1145/1497577.1497580.

Subject Headings: N-ary Relation, Closed Pattern, Constraint-based Mining.

Notes

Cited By

~14 http://scholar.google.com/scholar?q=%22Closed+Patterns+Meet+n-ary+Relations%22+2009

Quotes

Author Keywords

n-ary relations, Closed patterns, constraint properties, constraint-based mining, tiling

Abstract

Set pattern discovery from binary relations has been extensively studied during the last decade. In particular, many complete and efficient algorithms for frequent closed set mining are now available. Generalizing such a task to n-ary relations (n ≥ 2) appears as a timely challenge. It may be important for many applications, for example, when adding the time dimension to the popular objects × features binary case. The generality of the task (no assumption being made on the relation arity or on the size of its attribute domains) makes it computationally challenging. We introduce an algorithm called Data-Peeler. From an n-ary relation, it extracts all closed n-sets satisfying given piecewise (anti) monotonic constraints. This new class of constraints generalizes both monotonic and antimonotonic constraints. Considering the special case of ternary relations, Data-Peeler outperforms the state-of-the-art algorithms CubeMiner and Trias Algorithm by orders of magnitude. These good performances must be granted to a new clever enumeration strategy allowing to efficiently enforce the closeness property. The relevance of the extracted closed n-sets is assessed on real-life 3- and 4-ary relations. Beyond natural 3-or 4-ary relations, expanding a relation with an additional attribute can help in enforcing rather abstract constraints such as the robustness with respect to binarization. Furthermore, a collection of closed n-sets is shown to be an excellent starting point to compute a tiling of the dataset.,

	Author	volume	Date Value	title	type	journal	titleUrl	doi	note	year
2009 ClosedPatternsMeetNaryRelations	Loïc Cerf Jérémy Besson Céline Robardet Jean-François Boulicaut			Closed Patterns Meet n-ary Relations		ACM Transactions on Knowledge Discovery from Data	http://liris.cnrs.fr/publis/?id=3652	10.1145/1497577.1497580		2009