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Information Geometry and Its Applications

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Cover of 'Information Geometry and Its Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Manifold, Divergence and Dually Flat Structure
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    Chapter 2 Exponential Families and Mixture Families of Probability Distributions
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    Chapter 3 Invariant Geometry of Manifold of Probability Distributions
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    Chapter 4 $$\alpha $$ α -Geometry, Tsallis q-Entropy and Positive-Definite Matrices
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    Chapter 5 Elements of Differential Geometry
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    Chapter 6 Dual Affine Connections and Dually Flat Manifold
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    Chapter 7 Asymptotic Theory of Statistical Inference
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    Chapter 8 Estimation in the Presence of Hidden Variables
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    Chapter 9 Neyman-Scott Problem: Estimating Function and Semiparametric Statistical Model
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    Chapter 10 Linear Systems and Time Series
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    Chapter 11 Machine Learning
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    Chapter 12 Natural Gradient Learning and Its Dynamics in Singular Regions
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    Chapter 13 Signal Processing and Optimization
Attention for Chapter 1: Manifold, Divergence and Dually Flat Structure
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