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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Information Geometry and Its Applications / edited by Nihat Ay, Paolo Gibilisco, František Matúš.
其他題名:	On the Occasion of Shun-ichi Amari's 80th Birthday, IGAIA IV Liblice, Czech Republic, June 2016 /
其他作者:	Ay, Nihat.
面頁冊數:	X, 456 p. 72 illus., 24 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential geometry. -
電子資源:	https://doi.org/10.1007/978-3-319-97798-0
ISBN:	9783319977980

Information Geometry and Its Applications = On the Occasion of Shun-ichi Amari's 80th Birthday, IGAIA IV Liblice, Czech Republic, June 2016 /
Information Geometry and Its Applications On the Occasion of Shun-ichi Amari's 80th Birthday, IGAIA IV Liblice, Czech Republic, June 2016 /[electronic resource] :edited by Nihat Ay, Paolo Gibilisco, František Matúš. - 1st ed. 2018. - X, 456 p. 72 illus., 24 illus. in color.online resource. - Springer Proceedings in Mathematics & Statistics,2522194-1009 ;. - Springer Proceedings in Mathematics & Statistics,125.

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.

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.

ISBN: 9783319977980

Standard No.: 10.1007/978-3-319-97798-0doiSubjects--Topical Terms:

882213
Differential geometry.

LC Class. No.: QA641-670

Dewey Class. No.: 516.36

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