Preprint
On Solution Sets of Information Inequalities
Zusammenfassung
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.
Zitieren
@article{urn:nbn:de:hebis:34-2011080138592,
author={Ay, Nihat and Wenzel, Walter},
title={On Solution Sets of Information Inequalities},
year={2011}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2011$n2011 1500 1/eng 2050 ##0##urn:nbn:de:hebis:34-2011080138592 3000 Ay, Nihat 3010 Wenzel, Walter 4000 On Solution Sets of Information Inequalities / Ay, Nihat 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-2011080138592=x R 4204 \$dPreprint 4170 Mathematische Schriften Kassel ;; 11, 01 7136 ##0##urn:nbn:de:hebis:34-2011080138592
2011-08-01T06:31:54Z 2011-08-01T06:31:54Z 2011 urn:nbn:de:hebis:34-2011080138592 http://hdl.handle.net/123456789/2011080138592 eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ Linear inequalities Polyhedral sets Bayesian networks Information Entropy 510 On Solution Sets of Information Inequalities Preprint 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. open access Ay, Nihat Wenzel, Walter Mathematische Schriften Kassel ;; 11, 01 51M16 51M20 52B11 82C32 92B20 94A17 Mathematische Schriften Kassel 11, 01
Die folgenden Lizenzbestimmungen sind mit dieser Ressource verbunden: