Csiszár, Imre and Matus, Frantisek (2016) Convergence of generalized entropy minimizers in sequences of convex problems. In: 2016 IEEE International Symposium on Information Theory, ISIT 2016. IEEE International Symposium on Information Theory - Proceedings (2016-A). IEEE, New York, pp. 2609-2613. ISBN 9781509018062
|
Text
Barc2016ext.pdf Download (299kB) | Preview |
Abstract
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. © 2016 IEEE.
| Item Type: | Book Section |
|---|---|
| Uncontrolled Keywords: | INFORMATION THEORY; moment problems; Minimization problems; Integral functionals; Generalized entropies; Convex problems; Convex constraints; Constraint set; Boundedness conditions; Set theory |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Jan 2017 17:30 |
| Last Modified: | 03 Jan 2017 17:30 |
| URI: | http://real.mtak.hu/id/eprint/44197 |
Actions (login required)
 |
Edit Item |
