Articles liés à Maximum Entropy in Action: A Collection of Expository...
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Synopsis
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.
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Revue de presse
'the book is quite up-to-date ... generally very positive impression given by this book, which includes research results extending up to 1991 ... This fascinating universal concept opens up many new possibilities for the analysis of spectra, images, and X-ray scattering data. Because of the wide range of aspects covered in this book, it can be thoroughly recommended.' Christian Griesinger, Institut für Organische Chemie der Universität Frankfurt/Main, Angewandte Chemie, 31/7, 1992
'a useful and enlightening introduction to the general subject area and a reader interested in learning about possible applications of maximum entropy techniques could do far worse than to start by reading the concrete subject-centered articles in this volume' George H. Weiss, National Institutes of Health, Bethesda, Journal of Statistical Physics, Vol. 70, Nos 3/4, 1993
The volume is rather welcome not only because it is almost unique in this field, but also because it spans commendably the gulf between elementary ideas and their technical applications ... a collection of nice expositions that can provide a solid introduction to the use of maximum-entropy techniques in data analysis, and in that sense fills a definite need. (W.T. Grandy, University of Wyoming, Journal of Atmospheric and Terrestrial Physics, Vol. 57, No. 1, 1995)
Présentation de l'éditeur
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.
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