On Solution Sets of Information Inequalities
dc.date.accessioned | 2011-08-01T06:31:54Z | |
dc.date.available | 2011-08-01T06:31:54Z | |
dc.date.issued | 2011 | |
dc.identifier.uri | urn:nbn:de:hebis:34-2011080138592 | |
dc.identifier.uri | http://hdl.handle.net/123456789/2011080138592 | |
dc.language.iso | eng | |
dc.rights | Urheberrechtlich geschützt | |
dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
dc.subject | Linear inequalities | ger |
dc.subject | Polyhedral sets | ger |
dc.subject | Bayesian networks | ger |
dc.subject | Information | ger |
dc.subject | Entropy | ger |
dc.subject.ddc | 510 | |
dc.title | On Solution Sets of Information Inequalities | ger |
dc.type | Preprint | |
dcterms.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. | ger |
dcterms.accessRights | open access | |
dcterms.creator | Ay, Nihat | |
dcterms.creator | Wenzel, Walter | |
dcterms.isPartOf | Mathematische Schriften Kassel ;; 11, 01 | ger |
dc.subject.msc | 51M16 | ger |
dc.subject.msc | 51M20 | ger |
dc.subject.msc | 52B11 | ger |
dc.subject.msc | 82C32 | ger |
dc.subject.msc | 92B20 | ger |
dc.subject.msc | 94A17 | ger |
dcterms.source.journal | Mathematische Schriften Kassel | ger |
dcterms.source.volume | 11, 01 |