Convergence of generalized entropy minimizers in sequences of convex problems

I. Csiszár, Frantisek Matus

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationProceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2609-2613
Number of pages5
Volume2016-August
ISBN (Electronic)9781509018062
DOIs
Publication statusPublished - Aug 10 2016
Event2016 IEEE International Symposium on Information Theory, ISIT 2016 - Barcelona, Spain
Duration: Jul 10 2016Jul 15 2016

Other

Other2016 IEEE International Symposium on Information Theory, ISIT 2016
CountrySpain
CityBarcelona
Period7/10/167/15/16

Fingerprint

Generalized Entropy
Minimizer
Entropy
Integral Functionals
Convex Constraints
Moment Problem
Limit Set
Integrand
Martingale
Convex Sets
Minimization Problem
Boundedness
Theorem

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modelling and Simulation
  • Applied Mathematics

Cite this

Csiszár, I., & Matus, F. (2016). Convergence of generalized entropy minimizers in sequences of convex problems. In Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory (Vol. 2016-August, pp. 2609-2613). [7541771] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2016.7541771

Convergence of generalized entropy minimizers in sequences of convex problems. / Csiszár, I.; Matus, Frantisek.

Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory. Vol. 2016-August Institute of Electrical and Electronics Engineers Inc., 2016. p. 2609-2613 7541771.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Csiszár, I & Matus, F 2016, Convergence of generalized entropy minimizers in sequences of convex problems. in Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory. vol. 2016-August, 7541771, Institute of Electrical and Electronics Engineers Inc., pp. 2609-2613, 2016 IEEE International Symposium on Information Theory, ISIT 2016, Barcelona, Spain, 7/10/16. https://doi.org/10.1109/ISIT.2016.7541771
Csiszár I, Matus F. Convergence of generalized entropy minimizers in sequences of convex problems. In Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory. Vol. 2016-August. Institute of Electrical and Electronics Engineers Inc. 2016. p. 2609-2613. 7541771 https://doi.org/10.1109/ISIT.2016.7541771
Csiszár, I. ; Matus, Frantisek. / Convergence of generalized entropy minimizers in sequences of convex problems. Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory. Vol. 2016-August Institute of Electrical and Electronics Engineers Inc., 2016. pp. 2609-2613
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