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Universität Leipzig
University n.n.
conference
02.08.10 06.08.10

Information Geometry and its Applications III

The third conference on Information Geometry and its Applications will be held on August 2-6, 2010, at the University of Leipzig in Germany. It is organized by the Max Planck Institute for Mathematics in the Sciences, the Centro "Vito Volterra" and the SEFEMEQ Department of the University of Rome "Tor Vergata", the Mathematical Science Program at RIKEN, Japan, and the Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic. The first two conferences took place in Pescara, Italy (IGAIA1, 2002) and in Tokio, Japan (IGAIA2, 2005).

The conference is taking place and is financially supported within the Research Cooperation between the Max Planck Society and RIKEN (Institute of Physical and Chemical Research). Further financial support is due to the Italian Programme PRIN-MIUR "Quantum Probability and Applications".

The aim of the conference is to highlight recent developments within the field of information geometry and to identify new directions of research. To this end, the conference will bring together leading experts in the field. It will consist of invited talks and poster sessions representing theoretical work as well as work within one of the many application fields where information geometry plays a role. In particular, the conference will address, among others, the following topics:

Theory

  1. foundational geometric structures for information geometry
  2. infinite-dimensional information geometry
  3. non-commutative information geometry
  4. relation between information geometry and algebraic statistics
  5. statistical inference

Application fields

  1. neural networks
  2. cognitive systems
  3. computational and systems biology
  4. mathematical finance
  5. statistical mechanics
  6. quantum information and quantum statistics
  7. string theory and cosmology
  8. applications to statistical modelling

    Please see also the poster overview at Poster session

    Please see also the poster overview at Poster session

    Please see also the poster overview at Poster session

Speakers

Shun-ichi Amari

RIKEN, Japan

Pierre-Yves Bourguignon

Max Planck Institute for Mathematics in the Sciences, Germany

Dorje Brody

Imperial College London, United Kingdom

Frank Critchley

The Open University, United Kingdom

Imre Csiszár

Hungarian Academy of Sciences, Hungary

Philip Dawid

University of Cambridge, United Kingdom

Christopher Dodson

University of Manchester, United Kingdom

Shinto Eguchi

Institute of Statistical Mathematics, Japan

Christopher A. Fuchs

Perimeter Institute for Theoretical Physics, Canada

Akio Fujiwara

Osaka University, Japan

Kenji Fukaya

Kyoto University, Japan

Kenji Fukumizu

The Institute of Statistical Mathematics, Japan

Shigeru Furuichi

Nihon University, Japan

Frank Hansen

University of Copenhagen, Denmark

Peter Harremoës

Copenhagen Business College, Denmark

Fumio Hiai

Tohoku University, Japan

Shiro Ikeda

Institute of Statistical Mathematics, Japan

Oliver Johnson

University of Bristol, United Kingdom

Jürgen Jost

Max Planck Institute for Mathematics in the Sciences, Germany

Peter Jupp

University of St. Andrews, United Kingdom

Christian Léonard

Université Paris Ouest, France

Shunlong Luo

Chinese Academy of Sciences, China

Paul Marriott

University of Waterloo, Canada

Hiroshi Matsuzoe

Nagoya Institute of Technology, Japan

Noburu Murata

Waseda University, Japan

Hiroshi Nagaoka

The University of Electro-Communications, Japan

Hiroyuki Nakahara

RIKEN, Japan

Jan Naudts

Universiteit Antwerpen, Belgium

Richard Nock

Université des Antilles et de la Guyane, France

Atsumi Ohara

Osaka University, Japan

Jan Peters

Max Planck Institute for Biological Cybernetics, Germany

Dénes Petz

Budapest University of Technology and Economics, Hungary

Narit Pidokrajt

Stockholm University, Sweden

Giovanni Pistone

Collegio Carlo Alberto, Italy

Johannes Rauh

Max Planck Institute for Mathematics in the Sciences, Germany

Soo-Jong Rey

Seoul National University, South Korea

Jim Smith

The University of Warwick, United Kingdom

Raymond Streater

King's College London, United Kingdom

Arleta Szkoła

Max Planck Institute for Mathematics in the Sciences, Germany

Flemming Topsøe

University of Copenhagen, Denmark

Constantino Tsallis

Centro Brasileiro de Pesquisas Fisicas, Brazil and Santa Fe Institute, USA

Armin Uhlmann

Universität Leipzig, Germany

Keiko Uohashi

Tohoku Gakuin University, Japan

Igor Vajda

Academy of Sciences, Czech Republic

Christophe Vignat

Université d'Orsay, France

Stephan Weis

Universität Erlangen, Germany

Jun Zhang

University of Michigan/AFOSR, USA

Program

08:50 - 09:00
09:00 - 09:40 Shun-ichi Amari (RIKEN, Japan)
Information geometry derived from divergence functions
09:40 - 10:20 Constantino Tsallis (Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil)
Nonadditive and nonextensive statistical mechanics - some mathematical aspects
10:20 - 10:50
10:50 - 11:30 Philip Dawid (University of Cambridge, Cambridge, United Kingdom), Matthew Parry and Steffen Lauritzen
Local proper scoring rules
11:30 - 12:10 Shinto Eguchi (Institute of Statistical Mathematics, Japan)
$U$-entropy and maximum entropy model
12:10 - 14:00
14:00 - 14:40 Dorje Brody (Imperial College London, London, United Kingdom)
Information, interest rates, and geometry
14:40 - 15:20 Frank Hansen (University of Copenhagen, Copenhagen, Denmark)
Measures of quantum information
15:20 - 15:50
15:50 - 16:00 Christian Léonard (Université Paris Ouest, Nanterre, France)
From the Schrödinger problem to the Monge-Kantorovich problem. An entropic approach to optimal transport.
16:30 - 18:00
Poster session
17:10 - 18:00
09:00 - 09:40 Armin Uhlmann (Universität Leipzig, Leipzig, Germany)
Bures geometry and related concepts
09:40 - 10:20 Flemming Topsøe (University of Copenhagen, Copenhagen, Denmark)
Cognition and games - an approach to information
10:20 - 10:50
10:50 - 11:30 Raymond Streater (King's College London, London, United Kingdom)
Relation between Jaynes estimation and Fisher information
11:30 - 12:10 Shiro Ikeda (Institute of Statistical Mathematics, Japan)
Channel capacity problem and predictive distribution
12:10 - 14:00
14:00 - 14:40 Hiroshi Nagaoka (The University of Electro-Communications, Tokyo, Japan)
Information geometry of quantum relative entropy and some extension
14:40 - 15:20 Peter Harremoës (Copenhagen Business College, Søborg, Denmark)
Minimum description length for exponential families
15:20 - 15:50
15:50 - 16:30 Jürgen Jost (Max Planck Institute for Mathematics in the Sciences, Germany)
Mathematical aspects of information geometry
16:30 - 18:00
Poster session
17:10 - 18:00
19:30 - 00:00
09:00 - 09:40 Imre Csiszár (Hungarian Academy of Sciences, Budapest, Hungary)
Scientific legacy of Igor Vajda
09:40 - 10:20 Peter Jupp (University of St. Andrews, United Kingdom)
General versions of the information inequalities of van Trees and of Stam
10:20 - 10:50
10:50 - 11:30 Fumio Hiai (Tohoku University, Japan)
Riemannian metrics on positive definite matrices related to means
11:30 - 12:10 Dénes Petz (Budapest University of Technology and Economics, Budapest, Hungary)
Introduction to quantum Fisher information
12:10 - 14:00
14:00 - 14:40
14:40 - 15:20
15:20 - 15:50
15:50 - 16:30
16:30 - 17:10
17:10 - 18:00
09:00 - 09:40 Soo-Jong Rey (Seoul National University, Seoul, South Korea)
Black holes and string theory as information geometry
Attention: this event is cancelled.
09:00 - 09:40 Paul Marriott (University of Waterloo, Waterloo, Canada)
Computational information geometry: geometry of model choice
09:40 - 10:20 Narit Pidokrajt (Stockholm University, Sweden)
Black hole information geometry and critical phenomena
09:40 - 10:20 Frank Critchley (The Open University, Milton Keynes, United Kingdom)
Computational information geometry: model sensitivity and approximate cuts
10:20 - 10:50
10:50 - 11:30 Shunlong Luo (Chinese Academy of Sciences, China)
Geometry of correlations in quantum states
10:50 - 11:30 Hiroyuki Nakahara (RIKEN, Japan)
Neural coding and information geometry
11:30 - 12:10 Shigeru Furuichi (Nihon University, Tokyo, Japan)
On trace inequalities related to skew informations and generalized relative entropies
11:30 - 12:10 Richard Nock (Université des Antilles et de la Guyane, Martinique, France)
The information geometry of boosting algorithms
12:10 - 14:00
14:00 - 14:40 Jun Zhang (University of Michigan/AFOSR, Ann Arbor, USA)
Divergence functions and their relation to metrical, equiaffine and symplectic structures on the manifold
14:00 - 14:40 Oliver Johnson (University of Bristol, Bristol, United Kingdom)
Information measures on discrete spaces
14:40 - 15:20 Keiko Uohashi (Tohoku Gakuin University, Tagajo, Miyagi, Japan)
Conformally flat statistical submanifolds and level surfaces
14:40 - 15:20 Kenji Fukumizu (The Institute of Statistical Mathematics, Tokyo, Japan)
Distances and dependence measures with reproducing kernel Hilbert spaces
15:20 - 15:50
15:50 - 16:30 Christophe Vignat (Université d'Orsay, Gif sur Yvette, France)
Orthogonal polynomials and geometry of the quantum harmonic oscillator on constant curvature surfaces
15:50 - 16:30 Hiroshi Matsuzoe (Nagoya Institute of Technology, Nagoya, Japan)
Statistical manifolds admitting torsion and geometry of affine distributions
16:30 - 18:00
Poster session
17:10 - 18:00
09:00 - 09:40 Arleta Szkoła (Max Planck Institute for Mathematics in the Sciences, Germany)
Chernoff type distances on quantum state spaces
09:00 - 09:40 Pierre-Yves Bourguignon (Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany)
Modeling dependencies between positions in protein-DNA binding motifs
09:40 - 10:20 Stephan Weis (Universität Erlangen, Germany)
Entropy distance: new quantum phenomena
09:40 - 10:20 Noburu Murata (Waseda University, Tokyo, Japan)
A geometrical extension of the Bradley-Terry model
10:20 - 10:50
10:50 - 11:30 Christopher A. Fuchs (Perimeter Institute for Theoretical Physics, Waterloo, Canada)
Rewriting quantum state space as a (nice) statistical manifold
Attention: this event is cancelled.
10:50 - 11:30 Kenji Fukaya (Kyoto University, Kyoto, Japan)
Dual connection in mirror symmetry
11:30 - 12:10 Jan Peters (Max Planck Institute for Biological Cybernetics, Tübingen, Germany)
Information geometry in reinforcement learning: from natural policy gradients to relative entropy policy search
11:30 - 12:10 Atsumi Ohara (Osaka University, Japan)
Computation, complexity and curvature in information geometry
12:10 - 14:00
14:00 - 14:40 Jan Naudts (Universiteit Antwerpen, Antwerpen, Belgium)
The generalized exponential family in statistical physics: a framework for microcanonical phase transitions
14:00 - 14:40 Jim Smith (The University of Warwick, Warwick, United Kingdom)
The algebra of causal trees and chain event graphs
14:40 - 15:20 Johannes Rauh (Max Planck Institute for Mathematics in the Sciences, Germany)
Maximizing the Kullback-Leibler distance
14:40 - 15:20 Akio Fujiwara (Osaka University, Osaka, Japan)
Geometry of quantum channel manifolds
15:20 - 15:50
15:50 - 16:30 Christopher Dodson (University of Manchester, Manchester, United Kingdom)
An inhomogeneous stochastic rate process for evolution from states in an information geometric neighbourhood of uniform fitness
15:50 - 16:30 Paolo Gibilisco (Università degli Studi di Roma "Tor Vergata", Roma, Italy)
The $f \longleftrightarrow \tilde f$ correspondence and its applications in quantum information theory
16:30 - 17:10 Giovanni Pistone (Collegio Carlo Alberto, Moncalieri, Italy)
Finite generation of cumulants

Participants

Shun-ichi Amari

RIKEN, Japan

Luigi Augugliaro

University of Palermo, Italy

Nihat Ay

MPI for Mathematics in the Sciences, Germany

Philipp Benner

Max Planck Institute for Mathematics in the Sciences, Germany

Armin Biess

MPI for Dynamics and Self-Organization, Germany

Pierre-Yves Bourguignon

Max Planck Institute for Mathematics in the Sciences, Germany

Dorje Brody

Imperial College London, United Kingdom

Wen-Haw Chen

Tunghai University, Taiwan

Frank Critchley

The Open University, United Kingdom

Imre Csiszár

Hungarian Academy of Sciences, Hungary

Carles M Cuadras

University of Barcelona, Spain

Philip Dawid

University of Cambridge, United Kingdom

Arnaud Dessein

IRCAM, France

Christopher Dodson

University of Manchester, United Kingdom

Sam Drake

Adelaide, Australia

Shinto Eguchi

Institute of Statistical Mathematics, Japan

Roland J. Etienne

ALR - Department of physics and mathematics, Luxembourg

Christopher A. Fuchs

Perimeter Institute for Theoretical Physics, Canada

Yu Fujimoto

Aoyama Gakuin University, Japan

Akio Fujiwara

Osaka University, Japan

Kenji Fukaya

Kyoto University, Japan

Kenji Fukumizu

The Institute of Statistical Mathematics, Japan

Shigeru Furuichi

Nihon University, Japan

George Galanis

Hellenic Naval Academy, Greece

Paolo Gibilisco

Università degli Studi di Roma "Tor Vergata", Italy

Frank Hansen

University of Copenhagen, Denmark

Marc Harper

UCLA, USA

Peter Harremoës

Copenhagen Business College, Denmark

Masayuki Henmi

The Institute of Statistical Mathematics, Japan

Fumio Hiai

Tohoku University, Japan

Hideitsu Hino

Waseda University, Japan

Shiro Ikeda

Institute of Statistical Mathematics, Japan

Hiroshi Imai

Dipartimento di Fisica A. Volta, Italy

Dominik Janzing

MPI for biological cybernetics, Tuebingen, Germany

Oliver Johnson

University of Bristol, United Kingdom

Jürgen Jost

Max Planck Institute for Mathematics in the Sciences, Germany

Peter Jupp

University of St. Andrews, United Kingdom

Stephanie Jupp

retired, United Kingdom

Jozef Juricek

Charles University in Prague, Czech Republic

Thomas Kahle

MPI MiS, Germany

Takafumi Kanamori

Nagoya University, Japan

Masanori Kawakita

Kyushu university, Japan

Motoaki Kawanabe

Fraunhofer Institute FIRST / Berlin Institute of Technology, Germany

Kei Kobayashi

The Institute of Statistical Mathematics, Japan

Fumiyasu Komaki

University of Tokyo, Japan

Jozsef Konczer

Budapest University of Technology and Economics, Hungary

Ryszard Kostecki

University of Warsaw, Poland

Michal Kupsa

Academy of Sciences of the Czech Republic, Czech Republic

Christian Léonard

Université Paris Ouest, France

Shunlong Luo

Chinese Academy of Sciences, China

Luigi Malagò

Politecnico di Milano, Italy

Michał Marona

, Poland

Paul Marriott

University of Waterloo, Canada

Keiji Matsumoto

National Institute of Informatics, Japan

Hiroshi Matsuzoe

Nagoya Institute of Technology, Japan

Frantisek Matus

Academy of Sciences of the Czech Republic, Czech Republic

Guido Montùfar

Max Planck Institute for Mathematics in the Sciences, Germany

Noburu Murata

Waseda University, Japan

Hiroshi Nagaoka

The University of Electro-Communications, Japan

Hiroyuki Nakahara

RIKEN, Japan

Jan Naudts

Universiteit Antwerpen, Belgium

Richard Nock

Université des Antilles et de la Guyane, France

Atsumi Ohara

Osaka University, Japan

Jan Peters

Max Planck Institute for Biological Cybernetics, Germany

Dénes Petz

Budapest University of Technology and Economics, Hungary

Narit Pidokrajt

Stockholm University, Sweden

Giovanni Pistone

Collegio Carlo Alberto, Italy

Stephan Poppe

Max Planck Society, Germany

Mariela Portesi

CONICET & Universidad Nacional de La Plata, Argentina

Johannes Rauh

Max Planck Institute for Mathematics in the Sciences, Germany

Soo-Jong Rey

Seoul National University, South Korea

Nima Reyhani

Aalto University, Finland

Christian Rodrigues

Max Planck Institute for Mathematics in the Sciences, Germany

Areejit Samal

LPTMS/CNRS and Max Planck Institute for Mathematics in the Sciences, France

Yuzuru Sato

Hokkaido University, Japan

Lluis Serra

University of Barcelona, Spain

Shigeru Shuto

Osaka University, Japan

Jim Smith

The University of Warwick, United Kingdom

Shankar Deepak Srinivasan

Technische Universität Berlin, Germany

Raymond Streater

King's College London, United Kingdom

Milan Studeny

Academy of Sciences of the Czech Republic,Institute of Information Theory and Automation, Czech Republic

Andras Szanto

Budapest University of Technology and Economics, Hungary

Arleta Szkoła

Max Planck Institute for Mathematics in the Sciences, Germany

Takashi Takenouchi

Nara Institute of Science and Technology, Japan

Joanna Tomanek

Karol Adamiecki University of Economics in Katowice, Poland

Flemming Topsøe

University of Copenhagen, Denmark

Constantino Tsallis

Centro Brasileiro de Pesquisas Fisicas, Brazil

Armin Uhlmann

Universität Leipzig, Germany

Keiko Uohashi

Tohoku Gakuin University, Japan

Igor Vajda

Academy of Sciences, Czech Republic

K. Gerald van den Boogaart

TU Bergakademie Freiberg, Germany

Christophe Vignat

Université d'Orsay, France

Tatsuaki Wada

Ibaraki University, Japan

Yu Watanabe

The University of Tokyo, Japan

Stephan Weis

Universität Erlangen, Germany

Nicholas Wisniewski

University of California Los Angeles, USA

Carsten Wiuf

Aarhus University, Denmark

David Wozny

MPI for Human Cognitive and Brain Sciences, Germany

Le Yang

CNRS, France

Jun Zhang

University of Michigan/AFOSR, USA

Scientific Organizers

Nihat Ay

Max Planck Institute for Mathematics in the Sciences, Germany

Paolo Gibilisco

Università degli Studi di Roma "Tor Vergata", Italy

František Matúš

Academy of Sciences of the Czech Republic, Czech Republic

Administrative Contact

Antje Vandenberg

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail