0363274 - ÚTIA 2012 RIV RU eng C - Conference Paper (international conference)
Matúš, František - Rauh, J.
Maximization of the information divergence from an exponential family and criticality.
Proceedings ISIT 2011. Piscataway: IEEE, 2011, s. 903-907. ISBN 978-1-4577-0595-3.
[IEEE Internation Symposioum on Information Theory. St. Petersburg (RU), 31.07.2011-05.08.2011]
R&D Projects: GA ČR GAP202/10/0618
Institutional research plan: CEZ:AV0Z10750506
Keywords : exponential family * information divergence * critical sets
Subject RIV: BD - Theory of Information
Result website:
http://library.utia.cas.cz/separaty/2011/MTR/matus-maximization of the information divergence from an exponential family and criticality.pdf

DOI: https://doi.org/10.1109/ISIT.2011.6034269

The problem to maximize the information divergence from an exponential family is compared to the maximization of an entropy-like quantity over the boundary of a polytope. First-order conditions on directional derivatives define critical sets for the two problems. The bijection between the sets of global maximizers in the two problems found earlier is extended here to bijections between the sets of local maximizers and the critical sets. This is based on new inequalities relating the maximized quantities and a reformulation of the first order criticality conditions for the second problem.
Permanent Link: http://hdl.handle.net/11104/0199266