Maximum Entropy in Action: A Collection of Expository Essays

ISBN-13: 9780198539636 / Angielski / Miękka / 1991 / 248 str.

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Opis

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.

Recenzje

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.

Spis treści

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.