Theory of Information and its Value. 1st ed. 2020

フォーマット:

電子ブック

責任表示:

by Ruslan L. Stratonovich ; edited by Roman V. Belavkin, Panos M. Pardalos, Jose C. Principe

言語:

英語

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2020

形態:

XXII, 419 p. 33 illus., 4 illus. in color : online resource

著者名:

• Stratonovich, Ruslan L.
• Belavkin, Roman V.
• Pardalos, Panos M.
• Principe, Jose C.
• SpringerLink (Online service)

目次情報:

Foreword
Preface
1 Definition of information and entropy in the absence of noise- 2 Encoding of discrete information in the absence of noise and penalties
3 Encoding in the presence of penalties. The first variational problem- 4 The first asymptotic theorem and relative results
5 Computation of entropy for special cases. Entropy of stochastic processes
6 Information in the presence of noise. The Shannon's amount of information
7 Message transmission in the presence of noise. The second asymptotic theorem and its various formulations
8 Channel capacity. Important particular cases of channels
9 Definition of the value of information
10 The value of Shannon information for the most important Bayesian systems
11 Asymptotical results related to the value of information. The Third asymptotic theorem
12 Information theory and the second law of thermodynamics
Appendix Some matrix (operator) identities
Index

Foreword
Preface
1 Definition of information and entropy in the absence of noise- 2 Encoding of discrete information in the absence of noise and penalties
3 Encoding in the presence of penalties. The first variational problem- 4 The first asymptotic theorem and relative results
5 Computation of entropy for special cases. Entropy of stochastic processes
6 Information in the presence of noise. The Shannon's amount of information

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書誌ID:

IT00015603

ISBN:

9783030228330 [3030228339]      
9783030228354 [3030228355]