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Closed sets for labeled data AbstractClosed sets are being successfully applied in the context of compacted data representation for association rule learning. However, their use is mainly descriptive. In this paper we will show that, when considering labeled data, closed sets can be adapted for predictive purposes by conveniently contrasting covering properties on positive and negative examples. We formally justify that these sets characterize the space of relevant combinations of features for discriminating the target class. In practice, identifying relevant/irrelevant combinations of features through closed sets is useful in many applications. Here we apply it to emerging patterns, subgroup discovery, and fast learning of relevant rules on datasets characterized by highly unbalanced distribution.
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