Maximum entropy in action : a collection of expository essays
Author(s)
Bibliographic Information
Maximum entropy in action : a collection of expository essays
(Oxford science publications)
Clarendon Press , Oxford University Press, 1991
- : hard
- : pbk
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Note
Includes bibliographies and index
Description and Table of Contents
- Volume
-
: hard ISBN 9780198539414
Description
The maximum entropy method and the related Bayesian probability theory have recently become better known to research workers, but the power of these methods to resolve the true structures underlying many types of data is still not widely recognized. This volume provides an account of such methods. It is designed to introduce the reader to the principles of probability theory, viewed as the logic of inference, and to explain the role that entropy plays in the assignment of probabilities. The chapters concerned with applications show how the resulting algorithms can be implemented and how they work out in practice. In addition, the text examines the relation between statistical and dynamical theories in physics, and explores the confusion which surrounds the Second Law of Thermodynamics.
Table of Contents
- G. Daniell: Of maps and monkeys - an introduction to the maximum entropy method
- J. Skilling: Fundamentals of MaxEnt in data analysis
- P.J. Hore: Maximum entropy and nuclear magnetic resonance
- S. Davies, K.J. Packer, A. Baruya & A.I. Grant: Enhanced information recovery in spectroscopy using the maximum entropy method
- G.A. Cottrell: Maximum entropy and plasma physics
- A.J.M. Garrett: Macroreversibility and microreversibility reconciled - the second law
- S.F. Gull: Some misconceptions about entropy
- G. Bricogne: The X-ray crystallographic phase problem.
- Volume
-
: pbk ISBN 9780198539636
Description
The powerful new technique of maximum entropy, which has its roots in probability theory, provides a much needed extension of the established principles of rational inference in the sciences. It allows the interpretation of incomplete and noisy data, to provide a description of the underlying physical system, and has found application in both practical and theoretical studies ranging form image enhancement to nuclear physics, from statistical mechanics to economics.
This book is a diverse collection of introductory articles based on a series of interdisciplinary lectures covering the fundamentals of the maximum entropy approach and Bayesian methods, as well as the application of the method to various problems of data analysis in the physical sciences.
Table of Contents
- Preface
- Editors' introduction
- About the authors
- G.J. Daniell: Of maps and monkeys - an introduction to the maximum entropy method
- J. Skilling: Fundamentals of MaxEnt in data analysis
- P.J. Hore: Maximum entropy and nuclear magnetic resonance
- S. Davies, K.J. Packer, A. Baruya & A.I. Grant: Enhanced information recovery in spectroscopy using the maximum entropy method
- G.A. Cottrell: Maximum entropy and plasma physics
- A.J.M. Garrett: Macroreversibility and microreversibility reconciled - the second law
- S.F. Gull: Some misconceptions about entropy
- G. Bricogne: The X-ray crystallographic phase problem
- Index.
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