<p>This volume represents the proceedings of the Ninth Annual MaxEnt Workshop, held at Dartmouth College in Hanover, New Hampshire, on August 14-18, 1989. These annual meetings are devoted to the theory and practice of Bayesian Probability and the Maximum Entropy Formalism. The fields of application
Maximum Entropy and Bayesian Methods: Seattle, 1991
β Scribed by E. T. Jaynes (auth.), C. Ray Smith, Gary J. Erickson, Paul O. Neudorfer (eds.)
- Publisher
- Springer Netherlands
- Year
- 1992
- Tongue
- English
- Leaves
- 469
- Series
- Fundamental Theories of Physics 50
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
Front Matter....Pages i-ix
The Gibbs Paradox....Pages 1-21
Bayesian Solution of Ordinary Differential Equations....Pages 23-37
Bayesian Interpolation....Pages 39-66
Estimating the Ratio of Two Amplitudes in Nuclear Magnetic Resonance Data....Pages 67-77
A Bayesian Method for the Detection of a Periodic Signal of Unknown Shape and Period....Pages 79-103
Linking the Plausible and Demonstrative Inferences....Pages 105-120
Dimensional Analysis in Data Modelling....Pages 121-126
Entropies of Likelihood Functions....Pages 127-130
Maximum Likelihood Estimation of the Lagrange Parameters of the Maximum Entropy Distributions....Pages 131-139
Entropy of Form and Hierarchic Organization....Pages 141-151
A Bayesian Looks at the Anthropic Principle....Pages 153-164
The Evidence for Neural Networks....Pages 165-183
Unmixing Mineral Spectra Using a Neural Net with Maximum Entropy Regularization....Pages 185-196
Bayesian Mixture Modeling....Pages 197-211
Point-Process Theory and the Surveillance of Many Objects....Pages 213-220
A Matlab Program to Calculate the Maximum Entropy Distributions....Pages 221-233
Memsys as Debugger....Pages 235-240
Entropy and Sunspots: Their Bearing on Time-Series....Pages 241-252
Basic Concepts in Multisensor Data Fusion....Pages 253-271
Combining Data from Different Experiments: Bayesian Analysis and Meta-Analysis....Pages 273-286
Modelling Drug Behaviour in the Body with Maxent....Pages 287-302
Information Entropy and Dose-Response Functions for Risk Analysis....Pages 303-312
Making Binary Decisions Based on the Posterior Probability Distribution Associated with Tomographic Reconstructions....Pages 313-326
The Application of Maxent to Electrospray Mass Spectrometry....Pages 327-335
The Application of MaxEnt to Electron Microscopy....Pages 337-344
The Inference of Physical Phenomena in Chemistry: Abstract Tomography, Gedanken Experiments, and Surprisal Analysis....Pages 345-357
The Maximum Entropy Reconstruction of Patterson and Fourier Densities in Orientationally Disordered Molecular Crystals: A Systematic Test for Crystallographic Interpolation Models....Pages 359-376
On a Bayesian Approach to Coherent Radar Imaging....Pages 377-396
Application of Maximum Entropy to Radio Imaging of Geological Features....Pages 397-402
Deterministic Signals in Height of Sea Level Worldwide....Pages 403-421
The Grand Canonical Sampler for Bayesian Integration....Pages 423-432
Recent Developments in Information-Theoretic Statistical Analysis....Pages 433-444
Murphyβs Law and Noninformative Priors....Pages 445-448
A Scientific Concept of Probability....Pages 449-452
Bayesian Logic and Statistical Mechanics β Illustrated by a Quantum Spin 1/2 Ensemble....Pages 453-466
Back Matter....Pages 467-473
β¦ Subjects
Image Processing and Computer Vision; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences; Economic Geology; Analytical Chemistry
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