Convertible antimonotone constraints; Convertible antimonotonic constraints; Convertible monotone constraints; Convertible monotonic constraints
A constraint C is convertible if and only if C is convertible antimonotone or convertible monotone. A constraint C is convertible antimonotone provided there is an order R on items such that when an ordered itemset S satisfies constraint C, so does any prefix of S. A constraint C is convertible monotone provided there is an order R′ on items such that when an ordered itemset S′ violates constraint C, so does any prefix of S′.
Although some constraints are neither antimonotone nor monotone in general, several of them can be converted into antimonotone or monotone ones by properly ordering the items. These convertible constraints [1, 2, 3] possess the following nice properties. By arranging items according to some proper order R, if an itemset S satisfies a convertible antimonotone constraint Ccam, then all...
- 1.Pei J, Han J. Can we push more constraints into frequent pattern mining? In: Proceedings of the 6th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining; 2000. p. 350–4.Google Scholar
- 2.Pei J, Han J, Lakshmanan LVS. Mining frequent item sets with convertible constraints. In: Proceedings of the 17th International Conference on Data Engineering; 2001. p. 433–42.Google Scholar
- 3.Pei J, Han J, Lakshmanan LVS. Pushing convertible constraints in frequent itemset mining. Data Mining Knowl Discov. 2004;8(3):227–52. https://doi.org/10.1023/B:DAMI.0000023674.74932.4c.MathSciNetCrossRefGoogle Scholar