Maximum Entropy and Bayesian Methods

Seattle, 1991

By: Gary J. Erickson, International Workshop on Maximum Entrop, C. R. Smith (Editor)

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Hardcover | 30 November 1992

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488 Pages

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23.39 x 15.6 x 2.69

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Bayesian probability theory and maximum entropy methods are at the core of a new view of scientific inference. These `new' ideas, along with the revolution in computational methods afforded by modern computers, allow astronomers, electrical engineers, image processors of any type, NMR chemists and physicists, and anyone at all who has to deal with incomplete and noisy data, to take advantage of methods that, in the past, have been applied only in some areas of theoretical physics.
This volume records the Proceedings of Eleventh Annual `Maximum Entropy' Workshop, held at Seattle University in June, 1991. These workshops have been the focus of a group of researchers from many different fields, and this diversity is evident in this volume. There are tutorial papers, theoretical papers, and applications in a very wide variety of fields. Almost any instance of dealing with incomplete and noisy data can be usefully treated by these methods, and many areas of theoretical research are being enhanced by the thoughtful application of Bayes' theorem. The contributions contained in this volume present a state-of-the-art review that will be influential and useful for many years to come.

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The Gibbs Paradox
Bayesian Solution of Ordinary Differential Equations
Bayesian Interpolation
Estimating the Ratio of Two Amplitudes in Nuclear Magnetic Resonance Data
A Bayesian Method for the Detection of a Periodic Signal of Unknown Shape and Period
Linking the Plausible and Demonstrative Inferences
Dimensional Analysis in Data Modeling
Entropies of Likelihood Functions
Maximum Likelihood Estimation of the Lagrange Parameters of the Maximum Entropy Distributions
Entropy of Form and Hierarchic Organization
A Bayesian Look at the Anthropic Principle
The Evidence for Neural Networks
Unmixing Mineral Spectra Using a Neural Net with Maximum Entropy Regularization
Bayesian Mixture Modeling
The Grand Canonical Sampler for Bayesian Integration
A Matlab Program to Calculate the Maximum Entropy Distributions
MEMSYS as Debugger: Entropy and Sunspots: Their Bearing on Time-Series
Combining Data from Different Experiments: Bayesian Analysis and Meta-Analysis
Modeling Drug Behaviour in the Body with MAXENT
Information Entropy and Dose-Response Functions of Risk Analysis
Making Binary Decisions Based on the Posterior Probability
Distribution Associated with Tomographic Reconstructions
The Application of MAXENT to Electrospray Mass Spectrometry
The Application of MAXENT to Electron Microscopy
The Inference of Physical Phenomena in Chemistry
Abstract Tomography, Gedanken Experiments, and Surprisal Analysis
The Maximum Entropy Reconstruction of Patterson and Fourier
Densities in Orientationally Disordered
Molecular Crystals
A Systematic Test for Crystallographic Interpolation Models
On a Bayesian Approach to Coherent Radar Imaging
Application of Maximum Entropy to Radio Imaging of Geological Features
Deterministic Signals in Height of Sea Level Worldwide
Point-Process Theory and the Surveillance of Many Objects
Recent Developments in Information-Theoretic Statistical Analysis
Murphy's Law and Noninformative Priors
Basic Concepts in Multisensor Data Fusion
Bayesian Logic and Statistical Mechanics
Illustrated by Quantum Spin 1/2 Ensemble
A Scientific Concept of Probability
Table of Contents provided by Publisher. All Rights Reserved.

Maximum Entropy and Bayesian Methods

Seattle, 1991

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Hardcover

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