Signals and Communication Technology

Geometric Structures of Information

Editors: Nielsen, Frank (Ed.)

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  • Features new and fruitful interactions between several branches of science: information science, mathematics and physics
  • Addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds
  • Collects the most important contributions to the conference GSI’2017 – Geometric Science of Information
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eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-030-02520-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-030-02519-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds, relational and discrete metric spaces, computational and Hessian information geometry, algebraic/infinite dimensional/Banach information manifolds, divergence geometry, tensor-valued morphology, optimal transport theory, manifold & topology learning, and applications like geometries of audio-processing, inverse problems and signal processing.

The book collects the most important contributions to the conference GSI’2017 – Geometric Science of Information.


About the authors

Frank Nielsen is Professor at the Laboratoire d'informatique de l'École polytechnique, Paris, France. His research aims at understanding the nature and structure of information and randomness in data, and exploiting algorithmically this knowledge in innovative imaging applications. For that purpose, he coined the field of computational information geometry (computational differential geometry) to extract information as regular structures whilst taking into account variability in datasets by grounding them in geometric spaces. Geometry beyond Euclidean spaces has a long history of revolutionizing the way we perceived reality. Curved spacetime geometry, sustained relativity theory and fractal geometry unveiled the scale-free properties of Nature. In the digital world, geometry is data-driven and allows intrinsic data analytics by capturing the very essence of data through invariance principles without being biased by such or such particular data representation.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-030-02520-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-030-02519-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Structures of Information
Editors
  • Frank Nielsen
Series Title
Signals and Communication Technology
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-02520-5
DOI
10.1007/978-3-030-02520-5
Hardcover ISBN
978-3-030-02519-9
Series ISSN
1860-4862
Edition Number
1
Number of Pages
VIII, 392
Number of Illustrations
13 b/w illustrations, 36 illustrations in colour
Topics