0363274 20240103195442.520110913235959.9 000297465101017 10.1109/ISIT.2011.6034269 5 s. cav_un_epca*0363273978-1-4577-0595-3903-907PiscatawayIEEE2011 exponential family information divergence critical sets cav_un_auth*0101161 Matúš František Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0274184 Rauh J. DE http://library.utia.cas.cz/separaty/2011/MTR/matus-maximization of the information divergence from an exponential family and criticality.pdf GAP202/10/0618 GA ČR cav_un_auth*0263481 CEZ:AV0Z10750506 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. cav_un_auth*0273994 IEEE Internation Symposioum on Information Theory St. Petersburg 31.07.2011-05.08.2011 RU 2012 BD 2 http://hdl.handle.net/11104/0199266 2011 000297465101017 WOS cav_un_epca*0363273 Proceedings ISIT 2011 978-1-4577-0595-3 903 907 Proceedings ISIT 2011 Piscataway IEEE 2011