Matrix Information Geometry [Paperback]

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.This book presents advances in matrix and tensor data processing in the domain of signal, image and information processing, discussing theoretical mathematical approaches in the context of potential applications in sensor and cognitive systems engineering.

Book dedication.- Preface.- ?Part I:? State-of-the-art surveys & original matrix theory work.- Part II: Advanced matrix theory for radar processing.- Part III: Matrix-based signal processing applications.- Index of terms

Frank Nielsen is Senior Researcher at Sony Computer Science Laboratories Inc, Tokyo, Japan.
He is conducting research on information sciences for data analytics based on the framework of computational information geometry? with applications in visual computing.
He has authored more than hundred research papers and two books including Visual Computing: Geometry, Graphics, and Vision .

Rajendra Bhatia is Professor of Mathematics at the Indian Statistical Institute in New Delhi, India.
He is the author of five books including Matrix Analysis and Positive Definite Matrices ..

This book is an outcome of the Indo-French Workshop on Matrix Information Geometries (MIG): Applications in Sensor and Cognitive Systems Engineering, which was held in Ecole Polytechnique and Thales Research and Technology Center, Palaiseau, France, in February 23-25, 2011. The workshop was generouslyl#§