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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.
1. Of Maps and Monkeys, G.J. Daniell
2. Fundamentals of MaxEnt in Data Analysis, J. Skilling
3. Maximum Entropy and Nuclear Magnetic Resonance, P.J. Hore
4. Enhanced Information Recovery in Spectroscopy, S. Davies et al.
5. Maximum Entropy and Plasma Physics, G. A. Cottrell
6. Macroirreversibility and Microreversibility Reconciled, A.J.M. Garrett
7. Some Misconceptions About Entropy, S. F. Gull
8. The X-ray Crystallographic Phase Problem, G. Bricogne