Geodesic
On solution sets of information inequalities
Kybernetika, Tome 48 (2012) no. 5, pp. 845-864.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We investigate solution sets of a special kind of linear inequality systems. In particular, we derive characterizations of these sets in terms of minimal solution sets. The studied inequalities emerge as information inequalities in the context of Bayesian networks. This allows to deduce structural properties of Bayesian networks, which is important within causal inference.
Classification : 15A39, 52Bxx, 94A17
Keywords: linear inequalities; polyhedral sets; Bayesian networks; information; entropy 
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Ay, Nihat; Wenzel, Walter. On solution sets of information inequalities. Kybernetika, Tome 48 (2012) no. 5, pp. 845-864. http://geodesic.mathdoc.fr/item/KYB_2012__48_5_a1/