Chapter 1 Information Geometry and Its Applications: An Overview

Chapter 2 Towards the Geometry of Model Sensitivity: An Illustration

Chapter 3 On the Geometric Interplay Between Goodness-of-Fit and Estimation: Illustrative Examples

Chapter 4 Spontaneous Learning for Data Distributions via Minimum Divergence

Chapter 5 Extrinsic Projection of Itô SDEs on Submanifolds with Applications to Non-linear Filtering

Chapter 6 Fast $$(1+\epsilon )$$ -Approximation of the Löwner Extremal Matrices of High-Dimensional Symmetric Matrices

Chapter 7 Dimensionality Reduction for Information Geometric Characterization of Surface Topographies

Chapter 8 On Clustering Financial Time Series: A Need for Distances Between Dependent Random Variables

Chapter 9 The Geometry of Orthogonal-Series, Square-Root Density Estimators: Applications in Computer Vision and Model Selection

Chapter 10 Dimensionality Reduction for Measure Valued Evolution Equations in Statistical Manifolds

Chapter 11 Batch and Online Mixture Learning: A Review with Extensions