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Theory of Information and its Value

Authors: Stratonovich, Ruslan L.

Editors: Belavkin, Roman V., Pardalos, Panos M., Principe, Jose C. (Eds.)

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  • Broadens understanding of quantum information theory
  • English translation of Rouslan L. Stratonovich’s original "Theory of Information"
  • Unifies theories of information, optimization, and statistical physics
  • Supplies opportunities to practice techniques through unique examples
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Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-030-22833-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: January 15, 2020
  • ISBN 978-3-030-22832-3
  • Free shipping for individuals worldwide
About this book

This English version of Ruslan L. Stratonovich’s Theory of Information (1975) builds on theory and provides methods, techniques, and concepts toward utilizing critical applications. Unifying theories of information, optimization, and statistical physics, the value of information theory has gained recognition in data science, machine learning, and artificial intelligence. With the emergence of a data-driven economy, progress in machine learning, artificial intelligence algorithms, and increased computational resources, the need for comprehending information is essential. This book is even more relevant today than when it was first published in 1975. It extends the classic work of R.L. Stratonovich, one of the original developers of the symmetrized version of stochastic calculus and filtering theory, to name just two topics.

Each chapter begins with basic, fundamental ideas, supported by clear examples; the material then advances to great detail and depth.  The reader is not required to be familiar with the more difficult and specific material. Rather, the treasure trove of examples of stochastic processes and problems makes this book accessible to a wide readership of researchers, postgraduates, and undergraduate students in mathematics, engineering, physics and computer science who are specializing in information theory, data analysis, or machine learning.

About the authors

Table of contents (12 chapters)

Table of contents (12 chapters)
  • Definition of information and entropy in the absence of noise

    Pages 1-33

    Belavkin, Roman V. (et al.)

  • Encoding of discrete information in the absence of noise and penalties

    Pages 35-51

    Belavkin, Roman V. (et al.)

  • Encoding in the presence of penalties. First variational problem

    Pages 53-75

    Belavkin, Roman V. (et al.)

  • First asymptotic theorem and related results

    Pages 77-101

    Belavkin, Roman V. (et al.)

  • Computation of entropy for special cases. Entropy of stochastic processes

    Pages 103-171

    Belavkin, Roman V. (et al.)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-030-22833-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: January 15, 2020
  • ISBN 978-3-030-22832-3
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Theory of Information and its Value
Authors
Editors
  • Roman V. Belavkin
  • Panos M. Pardalos
  • Jose C. Principe
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-22833-0
DOI
10.1007/978-3-030-22833-0
Hardcover ISBN
978-3-030-22832-3
Edition Number
1
Number of Pages
XXII, 419
Number of Illustrations
29 b/w illustrations, 4 illustrations in colour
Topics