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

• Corporate Author: SpringerLink (Online service)
• Other Authors: Ay, Nihat (Editor, http://id.loc.gov/vocabulary/relators/edt), Gibilisco, Paolo (Editor, http://id.loc.gov/vocabulary/relators/edt), Matúš, František (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Proceedings in Mathematics & Statistics, 252
• Subjects: Differential geometry.; Computer science-Mathematics.; Computer mathematics.; Statistics .; Differential Geometry.; Mathematical Applications in Computer Science.; Statistical Theory and Methods.

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...

Table of Contents:

• 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-Euclidean and Log-Hilbert-Schmidt divergences
• Part 4: Theoretical Aspects of Information Geometry, Peter Harremoes, Entropy on Spin Factors
• Shinto Eguchi, Osamu Komori and Atsumi Ohara, Information geometry associated with generalized means
• Jun Zhang, Codazzi-(Para-)Kahler Geometry
• Atsumi Ohara, Doubly autoparallel structures on the probability simplex
• Akio Fujiwara, Amari-Chentsov's paradox
• Alexander Rylov, Constant curvature connections on statistical models
• Roman Belavkin, Relation between the Kantorovich-Wasserstein metric and the Kullback-Leibler divergence
• Part 5: Quantum Information Geometry, Shunlong Luo and Yuan Sun, Some Inequalities for Wigner-Yanase Skew Information
• Davide Girolami, Information Geometry of Quantum Resources
• Marco Cianciaruso, Irene Frerot, Tommaso Tufarelli, Gerardo Adesso, Maximum local quantum covariances as quantiers of two-sided quantum correlations beyond entanglement
• Attila Andai, The eects of random qubit-qubit quantum channels to entropy gain, delity and trace distance
• Attila Lovas, Robertson-type Uncertainty Principles and Generalized Symmetric and Antisymmetric Covariances.