Distinguishing and Classifying from n-ary Properties |
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Authors: | Pascal Préa Monique Rolbert |
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Institution: | 1. école Centrale Marseille and Laboratoire d’Informatique Fondamentale de Marseille, Marseille, France 3. LIF, Laboratoire d’Informatique Fondamentale de Marseille, CNRS UMR 7279, école Centrale Marseille, Technop?le de Chateau-Gombert, 38, rue Joliot Curie, 13451, Marseille Cédex 20, France 2. Aix-Marseille Université and Laboratoire d’Informatique Fondamentale de Marseille, Marseille, France 4. Aix-Marseile Université, Laboratoire d’Informatique Fondamentale de Marseille, LIF, CNRS UMR 7279, 14 Av. Jules Ferry, 13621, Aix-en-Provence, France
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Abstract: | We present a hierarchical classification based on n-ary relations of the entities. Starting from the finest partition that can be obtained from the attributes, we distinguish between entities having the same attributes by using relations between entities. The classification that we get is thus a refinement of this finest partition. It can be computed in O(n + m 2) space and O(n · p · m 5/2) time, where n is the number of entities, p the number of classes of the resulting hierarchy (p is the size of the output; p < 2n) and m the maximum number of relations an entity can have (usually, m ? n). So we can treat sets with millions of entities. |
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