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MiS Preprint
16/2011

On Solution Sets of Information Inequalities

Nihat Ay and Walter Wenzel

Abstract

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 important properties of Bayesian networks, which is important within causal inference.

Received:
Apr 21, 2011
Published:
Apr 26, 2011
Keywords:
linear inequalities, polyhedral sets, Bayesian networks, information, entropy

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inJournal
2012 Journal Open Access
Nihat Ay and Walter Wenzel

On solution sets of information inequalities

In: Kybernetika, 48 (2012) 5, pp. 845-864