This book is a collection of introductory, interdisciplinary articles and lectures covering the fundamentals of the maximum entropy approach, a powerful new technique that provides a much needed extension of the established principles of rational inference in the sciences. Maximum entropy allows the interpretation of incomplete and "noisy" data, providing a description of the underlying physical systems. It has found application in both practical and theoretical studies ranging from image enhancement to nuclear physics, and from statistical mechanics to economics. The work explores these applications with specific problems of data analysis taken from the physical sciences. It will interest all physical scientists who deal with data and its interpretation, including statisticians and statistical physicists.
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'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)
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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