Average Size of Implicational Bases
February 12, 2018 Β· Declared Dead Β· π 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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