Concentration of Measure Inequalities in Information Theory, Communications, and Coding
Seiten
2013
now publishers Inc (Verlag)
978-1-60198-724-2 (ISBN)
now publishers Inc (Verlag)
978-1-60198-724-2 (ISBN)
Focuses on some of the key modern mathematical tools that are used for the derivation of concentration inequalities, on their links to information theory, and on their various applications to communications and coding. The book also includes various new recent results derived by the authors.
Concentration inequalities have been the subject of exciting developments during the last two decades, and have been intensively studied and used as a powerful tool in various areas. These include convex geometry, functional analysis, statistical physics, mathematical statistics, pure and applied probability theory (e.g., concentration of measure phenomena in random graphs, random matrices, and percolation), information theory, theoretical computer science, learning theory, and dynamical systems.
This book focuses on some of the key modern mathematical tools that are used for the derivation of concentration inequalities, on their links to information theory, and on their various applications to communications and coding. In addition to being a survey, this monograph also includes various new recent results derived by the authors.
This is essential reading for all researchers and scientists in information theory and coding.
Concentration inequalities have been the subject of exciting developments during the last two decades, and have been intensively studied and used as a powerful tool in various areas. These include convex geometry, functional analysis, statistical physics, mathematical statistics, pure and applied probability theory (e.g., concentration of measure phenomena in random graphs, random matrices, and percolation), information theory, theoretical computer science, learning theory, and dynamical systems.
This book focuses on some of the key modern mathematical tools that are used for the derivation of concentration inequalities, on their links to information theory, and on their various applications to communications and coding. In addition to being a survey, this monograph also includes various new recent results derived by the authors.
This is essential reading for all researchers and scientists in information theory and coding.
1 Introduction 2 Concentration Inequalities via the Martingale Approach 3 The Entropy Method, Logarithmic Sobolev Inequalities, and Transportation-Cost Inequalities. Acknowledgments. References.
| Reihe/Serie | Foundations and Trends® in Communications and Information Theory |
|---|---|
| Verlagsort | Hanover |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 370 g |
| Themenwelt | Informatik ► Software Entwicklung ► User Interfaces (HCI) |
| Mathematik / Informatik ► Informatik ► Theorie / Studium | |
| ISBN-10 | 1-60198-724-2 / 1601987242 |
| ISBN-13 | 978-1-60198-724-2 / 9781601987242 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
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