Matrix Information Geometry

Editors: Nielsen, Frank, Bhatia, Rajendra (Eds.)

  • Presents advances in matrix and tensor data processing in the domain of signal, image and information processing
  • Written by experts in the areas of theoretical mathematics or engineering sciences
  • Discusses potential applications in sensor and cognitive systems engineering
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  • ISBN 978-3-642-30232-9
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  • ISBN 978-3-642-30231-2
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About this book

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.

About the authors

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"..

Table of contents (17 chapters)

  • Supremum/Infimum and Nonlinear Averaging of Positive Definite Symmetric Matrices

    Angulo, Jesús

    Pages 3-33

  • The Riemannian Mean of Positive Matrices

    Bhatia, Rajendra

    Pages 35-51

  • The Geometry of Low-Rank Kalman Filters

    Bonnabel, Silvère (et al.)

    Pages 53-68

  • KV Cohomology in Information Geometry

    Boyom, Michel Nguiffo (et al.)

    Pages 69-92

  • Derivatives of Multilinear Functions of Matrices

    Grover, Priyanka

    Pages 93-109

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-3-642-30232-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-3-642-30231-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-3-642-44847-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Matrix Information Geometry
Editors
  • Frank Nielsen
  • Rajendra Bhatia
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-30232-9
DOI
10.1007/978-3-642-30232-9
Hardcover ISBN
978-3-642-30231-2
Softcover ISBN
978-3-642-44847-8
Edition Number
1
Number of Pages
XII, 456
Topics