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Information Geometry and Its Applications

Information Geometry and Its Applications


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About the Book

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 Schwachh ofer, Nihat Ay, J urgen 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 Harremo es, Entropy on Spin Factors.- Shinto Eguchi, Osamu Komori and Atsumi Ohara, Information geometry associated with generalized means.- Jun Zhang, Codazzi-(Para-)K ahler 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.


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Product Details
  • ISBN-13: 9783030074050
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 234 mm
  • No of Pages: 456
  • Series Title: Springer Proceedings in Mathematics & Statistics
  • Sub Title: On the Occasion of Shun-Ichi Amari's 80th Birthday, Igaia IV Liblice, Czech Republic, June 2016
  • Width: 156 mm
  • ISBN-10: 3030074056
  • Publisher Date: 03 Jan 2019
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Spine Width: 24 mm
  • Weight: 702 gr


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