Buch, Englisch, 419 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 828 g
Buch, Englisch, 419 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 828 g
ISBN: 978-3-030-22832-3
Verlag: Springer International Publishing
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
- Mathematik | Informatik EDV | Informatik Daten / Datenbanken
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
Weitere Infos & Material
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.