Geodesic
On solution sets of information inequalities
Kybernetika, Tome 48 (2012) no. 5, pp. 845-864 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     author = {Ay, Nihat and Wenzel, Walter},
     title = {On solution sets of information inequalities},
     journal = {Kybernetika},
     pages = {845--864},
     year = {2012},
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     number = {5},
     mrnumber = {3086855},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2012_48_5_a1/}
}
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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/