Matrix Information Geometry

ISBN-13: 9783642448478 / Angielski / Miękka / 2014 / 456 str.

Frank Nielsen; Rajendra Bhatia

Opis

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.

Spis treści

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

O autorze

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"..

Blurb

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 generously funded by the Indo-French Centre for the Promotion of Advanced Research (IFCPAR).  During the event, 22 renowned invited french or indian speakers gave lectures on their areas of expertise within the field of matrix analysis or processing. From these talks, a total of 17 original contribution or state-of-the-art chapters have been assembled in this volume. All articles were thoroughly peer-reviewed and improved, according to the suggestions of the international referees. The 17 contributions presented  are organized in three parts: (1) State-of-the-art surveys & original matrix theory work, (2) Advanced matrix theory for radar processing, and (3) Matrix-based signal processing applications.