Počet záznamů: 1
Convergence of generalized entropy minimizers in sequences of convex problems
- 1.0461674 - ÚTIA 2017 RIV ES eng C - Konferenční příspěvek (zahraniční konf.)
Matúš, František - Csiszár, I.
Convergence of generalized entropy minimizers in sequences of convex problems.
Proceedings of the 2016 IEEE International Symposium on Information Theory (ISIT 2016). Piscataway: IEEE, 2016, s. 2609-2613. ISBN 978-1-5090-1806-2. ISSN 2157-8117.
[IEEE International Symposium on Information Theory 2016. Barcelona (ES), 10.07.2016-15.07.2016]
Grant CEP: GA ČR(CZ) GA16-12010S
Institucionální podpora: RVO:67985556
Klíčová slova: entropy functional * convex constraints * Bregman divergence * f-divergence * Pyhtagorean theorem
Kód oboru RIV: BA - Obecná matematika
http://library.utia.cas.cz/separaty/2016/MTR/matus-0461674.pdf
Integral functionals based on convex normal integrands are minimized over convex constraint sets. Generalized minimizers exist under a boundedness condition. Sequences of the minimization problems are studied when the constraint sets are nested. The corresponding sequences of generalized minimizers are related to the minimization over limit convex sets. Martingale theorems and moment problems are discussed.
Trvalý link: http://hdl.handle.net/11104/0261349
Počet záznamů: 1