Matrix Information Geometry

2013
ISBN: 978-3-642-30231-2
Verlag: Springer

Buch, Englisch, 456 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 863 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Bhatia, Rajendra

Nielsen, Frank

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Tonsignalverarbeitung
• Mathematik | Informatik EDV | Informatik Informatik Bildsignalverarbeitung
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Signalverarbeitung, Bildverarbeitung, Scanning
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik

Inhaltsverzeichnis

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

Über Autor(innen)

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"..