Information Geometry and its Applications III

Abstract Oliver Johnson

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Oliver Johnson  (University of Bristol, United Kingdom)
Thursday, August 05, 2010, room Hörsaal 1
Information measures on discrete spaces

I will discuss recent work considering the issue of how Fisher Information should be defined on the integers, and on the set formula3, motivated by the maximum entropy property of the Poisson and binomial distributions. I will show that the resulting information measures have useful properties which parallel those of the Fisher information with respect to a real location parameter, suggesting that they too can form a basis for Information Geometry, suggesting a form for geodesics related to transportation problems.

(This talk is based on joint work with Harremoës, Hillion, Kontoyiannis, Madiman and Yu).

 

Date and Location

August 02 - 06, 2010
University of Leipzig
Augustusplatz
04103 Leipzig
Germany

Scientific Organizers

Nihat Ay
Max Planck Institute for Mathematics in the Sciences
Information Theory of Cognitive Systems Group
Germany
Contact by Email

Paolo Gibilisco
Università degli Studi di Roma "Tor Vergata"
Facoltà di Economia
Italy
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František Matúš
Academy of Sciences of the Czech Republic
Institute of Information Theory and Automation
Czech Republic
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Scientific Committee

Shun-ichi Amari
RIKEN
Brain Science Institute, Mathematical Neuroscience Laboratory
Japan
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Imre Csiszár
Hungarian Academy of Sciences
Alfréd Rényi Institute of Mathematics
Hungary
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Dénes Petz
Budapest University of Technology and Economics
Department for Mathematical Analysis
Hungary
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Giovanni Pistone
Collegio Carlo Alberto, Moncalieri
Italy
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Administrative Contact

Antje Vandenberg
Max Planck Institute for Mathematics in the Sciences
Contact by Email
Phone: (++49)-(0)341-9959-552
Fax: (++49)-(0)341-9959-555

05.04.2017, 12:42