Nielsen F., Bhatia R. Matrix Information Geometry 2013 torrent

Textbook in PDF format

This book presents advances in matrix and tensor data processing in the domain of signal, image and information processing. The theoretical mathematical approaches are discusses in the context of potential applications in sensor and cognitive systems engineering.
The topics and application include Information Geometry, Differential Geometry of structured Matrix, Positive Definite Matrix, Covariance Matrix, Sensors (Electromagnetic Fields, Acoustic sensors) and Applications in Cognitive systems, in particular Data Mining.
Supremum/Infimum and Nonlinear Averaging of Positive Definite Symmetric Matrices
The Riemannian Mean of Positive Matrices
The Geometry of Low-Rank Kalman Filters
KV Cohomology in Information Geometry
Derivatives of Multilinear Functions of Matrices
Jensen Divergence-Based Means of SPD Matrices
Exponential Barycenters of the Canonical Cartan Connection and Invariant Means on Lie Groups
Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation
Information Geometry of Covariance Matrix: Cartan-Siegel Homogeneous Bounded Domains, Mostow/Berger Fibration and Fréchet Median
On the Use of Matrix Information Geometry for Polarimetric SAR Image Classification
Doppler Information Geometry for Wake Turbulence Monitoring
Review of the Application of Matrix Information Theory in Video Surveillance
Comparative Evaluation of Symmetric SVD Algorithms for Real-Time Face and Eye Tracking
Real-Time Detection of Overlapping Sound Events with Non-Negative Matrix Factorization
Mining Matrix Data with Bregman Matrix Divergences for Portfolio Selection
Learning Mixtures by Simplifying Kernel Density Estimators
Particle Filtering on Riemannian Manifolds. Application to Covariance Matrices Tracking