Matrix Information Geometry

Chapter 2 The Riemannian Mean of Positive Matrices

Chapter 3 The Geometry of Low-Rank Kalman Filters

Chapter 4 KV Cohomology in Information Geometry

Chapter 5 Derivatives of Multilinear Functions of Matrices

Chapter 6 Jensen Divergence-Based Means of SPD Matrices

Chapter 7 Exponential Barycenters of the Canonical Cartan Connection and Invariant Means on Lie Groups

Chapter 8 Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation

Chapter 9 Information Geometry of Covariance Matrix: Cartan-Siegel Homogeneous Bounded Domains, Mostow/Berger Fibration and Fréchet Median

Chapter 10 On the Use of Matrix Information Geometry for Polarimetric SAR Image Classification

Chapter 11 Doppler Information Geometry for Wake Turbulence Monitoring

Chapter 12 Review of the Application of Matrix Information Theory in Video Surveillance

Chapter 13 Comparative Evaluation of Symmetric SVD Algorithms for Real-Time Face and Eye Tracking

Chapter 14 Real-Time Detection of Overlapping Sound Events with Non-Negative Matrix Factorization

Chapter 15 Mining Matrix Data with Bregman Matrix Divergences for Portfolio Selection

Chapter 16 Learning Mixtures by Simplifying Kernel Density Estimators

Chapter 17 Particle Filtering on Riemannian Manifolds. Application to Covariance Matrices Tracking