Theory of Information and its Value

AvRuslan L. Stratonovich,Roman V. Belavkin

Inbunden, Engelska, 2020

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1 283 kr

Beskrivning

Unifying theories of information, optimization, and statistical physics, the value of information theory has gained recognition in data science, machine learning, and artificial intelligence.

Produktinformation

Utgivningsdatum:2020-01-15
Mått:155 x 235 x 30 mm
Vikt:816 g
Format:Inbunden
Språk:Engelska
Antal sidor:419
Förlag:Springer Nature Switzerland AG
ISBN:9783030228323

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Recensioner i media

“The book could be useful in advanced graduate courses with students, who are not afraid of integrals and probabilities.” (Jaak Henno, zbMATH 1454.94002, 2021)

Innehållsförteckning

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.