Information Geometry and Its Applications

On the Occasion of Shun-ichi Amari's 80th Birthday, IGAIA IV Liblice, Czech Republic, June 2016

  • Nihat Ay
  • Paolo Gibilisco
  • František  Matúš
Conference proceedings IGAIA IV 2016

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 252)

Table of contents

  1. Front Matter
    Pages i-x
  2. Applications of Information Geometry

    1. Front Matter
      Pages 1-1
    2. Shun-ichi Amari, Naotsugu Tsuchiya, Masafumi Oizumi
      Pages 3-17
    3. Jürgen Jost, Nils Bertschinger, Eckehard Olbrich, David Wolpert
      Pages 19-46
  3. Infinite-Dimensional Information Geometry

    1. Front Matter
      Pages 117-117
    2. Giovanni Pistone
      Pages 119-155
    3. Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hông Vân Lê
      Pages 157-187
  4. Theoretical Aspects of Information Geometry

    1. Front Matter
      Pages 245-245
    2. Peter Harremoës
      Pages 247-278
    3. Shinto Eguchi, Osamu Komori, Atsumi Ohara
      Pages 279-295
    4. Jun Zhang, Teng Fei
      Pages 297-321
    5. Atsumi Ohara, Hideyuki Ishi
      Pages 323-334
    6. Akio Fujiwara
      Pages 335-347
  5. Quantum Information Geometry

About these proceedings


The book gathers contributions from the fourth conference on Information Geometry and its Applications, which was held on June 12–17, 2016, at Liblice Castle, Czech Republic on the occasion of Shun-ichi Amari’s 80th birthday and was organized by the Czech Academy of Sciences’ Institute of Information Theory and Automation. 

The conference received valuable financial support from the Max Planck Institute for Mathematics in the Sciences (Information Theory of Cognitive Systems Group), Czech Academy of Sciences’ Institute of Information Theory and Automation, and Università degli Studi di Roma Tor Vergata. 

The aim of the conference was to highlight recent advances in the field of information geometry and to identify new research directions. To this end, the event brought together leading experts in the field who, in invited talks and poster sessions, discussed both theoretical work and achievements in the many fields of application in which information geometry plays an essential role.


60A10, 62B05, 62B10, 62G05, 53B21 53B05, 46B20, 94A15, 94A17, 94B27 Geometric theory differentiable manifold information science machine learning statistical inference computation geometry

Editors and affiliations

  • Nihat Ay
    • 1
  • Paolo Gibilisco
    • 2
  • František  Matúš
    • 3
  1. 1.Information Theory of Cognitive SystemsMPI for Mathematics in the SciencesLeipzigGermany
  2. 2.Department of Economics and FinanceUniversity of Rome “Tor Vergata”RomeItaly
  3. 3.Institute of Information Theory and AutomationAcademy of Sciences of the Czech RepublicPragueCzech Republic

Bibliographic information