Information geometry and its applications : on the occasion of Shun-ichi Amari's 80th Birthday, IGAIA IV Liblice, Czech Republic, June 2016 /: on the occasion of Shun-ichi Amari's 80th Birthday, IGAIA IV Liblice, Czech Republic, June 2016. (2018)

• Record Type: Book
• Further Information: Note: Nihat Ay, Paolo Gibilisco, František Matúš, editors.
• Editors: Ay, Nihat, 1970-; Gibilisco, Paolo; Matúš, František
• Other Names: Amari, Shun'ichi honouree.; International Conference on Information Geometry and Its Applications, 4th
• 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource (x, 456 pages), illustrations (some color)
• Subjects: 510.1154; Mathematics; Information theory -- Mathematics; Information theory in mathematics; Mathematical statistics; Geometry, Differential; Mathematics -- Applied; Mathematics -- Probability & Statistics -- General; Mathematical modelling; Probability & statistics; Global differential geometry; Mathematics -- Geometry -- Differential; Differential & Riemannian geometry; Electronic books
• Languages: English
• ISBNs: 9783319977980; 3319977989
• Related ISBNs: 9783319977973
• Notes: Note: Online resource; title from PDF title page (SpringerLink, viewed November 13, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.