Information Geometry and its Applications III

Abstract Hiroyuki Nakahara

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Hiroyuki Nakahara  (RIKEN, Japan)
Thursday, August 05, 2010, room Hörsaal 2
Neural coding and information geometry

Crudely stated, a central issue in computational neuroscience is to gain insight into how interactions of neural activities carry and process, or encode and decode, information of the outside world. Once neural activities are considered samples of statistical variables, it becomes obvious that research into this neural coding has various connections with the issues investigated by information geometry, and it thus benefits from the perspectives and tools of information geometry. In my talk, I first provide a general overview, to introduce the audience to this subject, and then present some of our relevant work. For example, several previous studies have suggested that a pairwise interaction model (equivalent to so-called Ising models) is sufficient for describing neural activity patterns. In contrast, we recently demonstrated that a hierarchical model of the pairwise models on different scales is more accurate for describing neural data, despite its relative parsimony compared with ordinary pairwise models. The hierarchical model embeds higher-than-pairwise interactions as constraints and has an interesting relation to the generalized Pythagorean theorem or decompositions of different order interactions of discrete variables.

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
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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