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Until a present, the majority of work in data mining were interested in theextraction of the frequent itemsets and the generation of the frequentassociation rules from these itemsets. Sometimes, the frequent of associationsrules can revealed not-interesting in the direction where a frequent behavioris in general a normal behavior in the database. These last years, some workwas focused on the exploitation and the extraction of rare itemset and showsthem interest. However, the very important size of those itemset was thehandicap of algorithms that exploit the rare pattern. In order to relieve thisproblem, the present report proposes two exact concise representations of therare itemset, one based on the minimal generators and the other based on theclosed itemset. In this context, we introduce two new algorithms called GMRareand MFRare which extract these two exact concise representations.

Nouvelles repr\'esentations concises exactes des motifs rares