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Matrix Information Geometry

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Cover of 'Matrix Information Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Supremum/Infimum and Nonlinear Averaging of Positive Definite Symmetric Matrices
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    Chapter 2 The Riemannian Mean of Positive Matrices
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    Chapter 3 The Geometry of Low-Rank Kalman Filters
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    Chapter 4 KV Cohomology in Information Geometry
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    Chapter 5 Derivatives of Multilinear Functions of Matrices
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    Chapter 6 Jensen Divergence-Based Means of SPD Matrices
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    Chapter 7 Exponential Barycenters of the Canonical Cartan Connection and Invariant Means on Lie Groups
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    Chapter 8 Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation
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    Chapter 9 Information Geometry of Covariance Matrix: Cartan-Siegel Homogeneous Bounded Domains, Mostow/Berger Fibration and Fréchet Median
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    Chapter 10 On the Use of Matrix Information Geometry for Polarimetric SAR Image Classification
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    Chapter 11 Doppler Information Geometry for Wake Turbulence Monitoring
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    Chapter 12 Review of the Application of Matrix Information Theory in Video Surveillance
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    Chapter 13 Comparative Evaluation of Symmetric SVD Algorithms for Real-Time Face and Eye Tracking
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    Chapter 14 Real-Time Detection of Overlapping Sound Events with Non-Negative Matrix Factorization
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    Chapter 15 Mining Matrix Data with Bregman Matrix Divergences for Portfolio Selection
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    Chapter 16 Learning Mixtures by Simplifying Kernel Density Estimators
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    Chapter 17 Particle Filtering on Riemannian Manifolds. Application to Covariance Matrices Tracking
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