Information Geometry and Its Applications: On the Occasion of Shun-ichi Amari's 80th Birthday, IGAIA IV Liblice, Czech Republic, June 2016 [Paperback]

The book gathers contributions from the fourth conference on Information Geometry and its Applications, which was held on June 1217, 2016, at Liblice Castle, Czech Republic on the occasion of Shun-ichi Amaris 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 Universit? 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.

Part: 1, introduction.- Part 2: Applications of Information Geometry, Shunichi Amari, Naotsugu Tsuchiya, Masafumi Oizumi, Geometry of Information Integration.- Nils Bertschinger, Juergen Jost, Eckehard Olbrich and David Wolpert, Information geometry and game theory.- Sumio Watanabe, Higher order equivalence of Bayes cross validation and WAIC.- Guido Montufar, Restricted Boltzmann Machines: Introduction and Review.- Part 3: Innite-dimensional Information Geometry, Giovanni Pistone, Information Geometry of the Gaussian Space.- Lorenz Schwachhofer, Nihat Ay, Jurgen Jost and Hong Van Le, Congruent families and invariant tensors.- Nigel Newton, Nonlinear Filtering and Information Geometry: a Hilbert Manifold Approach.- Minh Ha Quang, Innite-dimensional Log-Determinant divergences III: Log-Eucl#@