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Information Geometry of Quantum Resources

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Cover of 'Information Geometry of Quantum Resources'

Table of Contents

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    Book Overview
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    Chapter 1 Geometry of Information Integration
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    Chapter 2 Information Geometry and Game Theory
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    Chapter 3 Higher Order Equivalence of Bayes Cross Validation and WAIC
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    Chapter 4 Restricted Boltzmann Machines: Introduction and Review
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    Chapter 5 Information Geometry of the Gaussian Space
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    Chapter 6 Congruent Families and Invariant Tensors
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    Chapter 7 Nonlinear Filtering and Information Geometry: A Hilbert Manifold Approach
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    Chapter 8 Infinite-Dimensional Log-Determinant Divergences III: Log-Euclidean and Log-Hilbert–Schmidt Divergences
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    Chapter 9 Entropy on Spin Factors
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    Chapter 10 Information Geometry Associated with Generalized Means
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    Chapter 11 Information Geometry with (Para-)Kähler Structures
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    Chapter 12 Doubly Autoparallel Structure on the Probability Simplex
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    Chapter 13 Complementing Chentsov’s Characterization
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    Chapter 14 Constant Curvature Connections On Statistical Models
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    Chapter 15 Relation Between the Kantorovich–Wasserstein Metric and the Kullback–Leibler Divergence
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    Chapter 16 Some Inequalities for Wigner–Yanase Skew Information
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    Chapter 17 Information Geometry of Quantum Resources
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    Chapter 18 Characterising Two-Sided Quantum Correlations Beyond Entanglement via Metric-Adjusted f –Correlations
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    Chapter 19 The Effects of Random Qubit-Qubit Quantum Channels to Entropy Gain, Fidelity and Trace Distance
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    Chapter 20 Robertson-Type Uncertainty Principles and Generalized Symmetric and Antisymmetric Covariances
Attention for Chapter 3: Higher Order Equivalence of Bayes Cross Validation and WAIC
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Chapter title
Higher Order Equivalence of Bayes Cross Validation and WAIC
Chapter number 3
Book title
Information Geometry and Its Applications
Published by
Springer, Cham, June 2016
DOI 10.1007/978-3-319-97798-0_3
Book ISBNs
978-3-31-997797-3, 978-3-31-997798-0
Authors

Sumio Watanabe, Watanabe, Sumio

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