Osaka City University Advanced Mathematical Institute
Mini-School on
" Introduction to Information Geometry and Its Applications II "
[Japanese] [Program (E)] [Program (J)]
Organizing Committee: Yoshihiro Ohnita (Osaka City University),
Ryoichi Kobayashi (Nagoya University),
Motoko Kotani (Tohoku University),
Hiroshi Matsuzoe (Nagoya Institute of Technology)
Host Organizations:
  • Osaka City University Advanced Mathematical Institute
    The 21st Century Center of Excellence Program
    " Constitution of wide-angle mathematical basis focused on knots "
    		•
  • Graduate School of Mathematics, Nagoya University
    		•
  • Graduate School of Science, Tohoku University
    The 21st Century Center of Excellence Program
    " Exploring New Science by Bridging Particle - Matter Hierarchy "
    • Date: Dec 21 (Fri) - 24 (Mon), 2007
    Place: Media Center 10th floor, Osaka City University
    Lecturers and Speakers:
    Hiroshi Nagaoka
    (3 Lectures)     		The University of Electro-Communications
    Takashi Kurose
    (2 Lectures)     		Fukuoka University
    Kenji Fukumizu Institute of Statistical Mathematics
    Ryoichi Kobayashi Nagoya University
    Sorin Sabau Hokkaido Tokai University
    Hiroyasu Satoh University of Tsukuba
    Kazuyuki Tanaka Tohoku University
    Program:
    Dec 21 (Fri)
    2:00 - 2:10 Opening speech
    Osaka City University Advanced Mathematical Institute
    Director Akio Kawauchi
    2:10 - 3:10 Takashi Kurose (Fukuoka University)
    Manifold structures and geometric structures on maximal exponential models (1)
    [Lecture Note (J) (PDF)]
    3:40 - Short Communications (1)
    Yu Kawakami (Nagoya University)
      Value distribution theoretical properties of hyperbolic Gauss maps
    Kazuhiko Takano (Shinshu University)
      Exponential families admitting almost complex structures
    Hiroshi Matsuzoe (Nagoya Institute of Technology)
      Generalized dual connections and statistical manifolds admitting torsion
    Dec 22 (Sat)
    9:30 - 11:00 Hiroshi Nagaoka (The University of Electro-Communications)
    From classical information geometry to quantum information geometry (1)
    [Lectrue Note (J) (PDF)] [handout (J) (PDF)]
    11:15 - 12:15 Kazuyuki Tanaka (Tohoku University)
    Mathematical Structure of Belief Propagation in Graphical Probabilistic Models
    [slides(PDF)] [handout(PDF)]
    2:30 - 3:30 Takashi Kurose (Fukuoka University)
    Manifold structures and geometric structures on maximal exponential models (2)
    3:50 - 4:50 Kenji Fukumizu (Institute of Statistical Mathematics)
    Nonparametric exponential manifold with reproducing kernel Hilbert spaces and its application to statistical inference
    [slides (PDF)]
    Dec 23 (Sun)
    9:30 - 11:00 Hiroshi Nagaoka (The University of Electro-Communications)
    From classical information geometry to quantum information geometry (2)
    11:15 - 12:15 Ryoichi Kobayashi (Nagoya University)
    Logarithmic Sobolev inequalities and relative entropy (Problem proposal)
    [slides (J) (PDF)]
    2:30 - 3:30 Sorin Sabau (Hokkaido Tokai University)
    On the Geometry of Riemann-Finsler surfaces
    [slides(PDF)]
    3:50 - 4:50 Hiroyasu Satoh (University of Tsukuba)
    Poisson kernels, heat kernels, and the Fisher information metric
    [Lecture Note (J) (PDF)]
    Dec 24 (Mon)
    9:30 - 10:30 Short Communications (2)
    Keiko Uohashi (Tohoku Gakuin University)
      Mahalanobis distance and statistical manifolds
    Mayuko Kon (Hokkaido University)
      A characterization of pseudo-Einstein real hypersurfaces of a complex projective space
    10:45 - 12:30 Hiroshi Nagaoka (The University of Electro-Communications)
    From classical information geometry to quantum information geometry (3)