Average Size of Implicational Bases

February 12, 2018 Β· Declared Dead Β· πŸ› International Conference on Concept Lattices and their Applications

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Authors Giacomo Kahn, Alexandre Bazin arXiv ID 1802.04032 Category cs.AI: Artificial Intelligence Cross-listed cs.CC, cs.DB, math.CO Citations 1 Venue International Conference on Concept Lattices and their Applications Last Checked 4 months ago
Abstract
Implicational bases are objects of interest in formal concept analysis and its applications. Unfortunately, even the smallest base, the Duquenne-Guigues base, has an exponential size in the worst case. In this paper, we use results on the average number of minimal transversals in random hypergraphs to show that the base of proper premises is, on average, of quasi-polynomial size.
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