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Maximum Entropy and Bayesian Methods : Fundamental Theories of Physics - Ali Mohammad-Djafari

Maximum Entropy and Bayesian Methods

Fundamental Theories of Physics

By: Ali Mohammad-Djafari (Editor), G. Demoment (Editor)

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Published: 31st July 1993
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This volume contains most of the papers presented at the Twelfth International Workshop on Maximum Entropy and Bayesian Methods held in Paris, July 1992. As was the case with the eleven previous annual workshops (the first was held in 1980) this twelfth workshop brought together leading scientists and 'newcomers' involved in research activities in diverse scientific disciplines in which the theory and applications of maximum entropy and Bayesian statistics plays a significant and fruitful role. The contributions are presented in six sections: Bayesian Inference and Maximum Entropy (18 papers); Quantum Physics and Quantum Information (9 papers); Time Series (3 papers); Inverse Problems (4 papers); Applications (11 papers); Image Restoration and Reconstruction (9 papers). The rich diversity of the papers presented, and the status of many of the contributors, attest to the growing importance and vigour of this major topic to many areas of applied science and engineering. This volume will be of interest to a wide range of researchers whose work involves the theory and applications of maximum entropy and Bayesian statistics.

Preface
Intersubjectivity, Relativistic Covariance, and Conditionals (A New Axiomatization)p. 9
Game Theoretical Equilibrium, Maximum Entropy and Minimum Information Discriminationp. 15
Entropy, Moments and Probability Theoryp. 25
Bayes-Optimal Visualization of Vector Fieldsp. 31
A Survey of Convergence Results for Maximum Entropy Methodsp. 39
Maximum Entropy Method and Digital Filter Designp. 49
A Theoretical Performance Analysis of Bayesian and Information Theoretic Image Segmentation Criteriap. 55
On Application of Maxent to Solving Fredholm Integral Equationsp. 63
An Algorithm to Process Signals Conveying Statistical Informationp. 67
Generalization of the Maximum Entropy Concept and Certain Arma Processesp. 73
Making Sense of Quantum Mechanics: Why You Should Believe in Hidden Variablesp. 79
Bayesian Methods and Court Decision-Makingp. 85
Wigmore Diagrams and Bayes Networksp. 93
An Invariance Principle for Updating Probabilitiesp. 99
Alpha, Evidence, and the Entropic Priorp. 113
Uniformly Distributed Sequences and the Maximum Entropy Principlep. 121
Duality Without Tearsp. 127
Entropy, Chaos, and Quantum Mechanicsp. 135
Phase-Space Priors in Information Entropyp. 145
Maximum Entropy Descriptions of Quantum Wave Functionsp. 155
Towards Quantum [epsilon]-Entropy and Validity of Quantum Informationp. 163
Quantum Statistical Inferencep. 167
Dual Measurements and Information in Quantum Opticsp. 183
Quantum Entropies and Their Maximizationsp. 189
Information Dynamics and its Application to Gaussian Communication Processesp. 195
Quantum Mechanics - How Weird for Bayesians?p. 205
Speech Processing Using Bayesian Inferencep. 215
A Bayesian Method for the Detection of Unknown Periodic and Nonperiodic Signals in Binned Time Seriesp. 225
Noise in the Underdetermined Problemp. 233
Deconvolution with an Unknown Point-Spread Functionp. 245
Maximum Entropy and Linear Inverse Problems. A Short Reviewp. 253
Bayesian Maximum Entropy Image Reconstruction from the Scattered Field Datap. 265
Maximum Entropy Image Reconstruction in Eddy Current Tomographyp. 273
Conductivity-Depth-Imaging of Airborne Electromagnetic Step-Response Data Using Maximum Entropyp. 281
Bayesian Source Estimation from Potential Field Datap. 287
Crystal Phase Dynamicsp. 295
Diffraction from Particles of Unknown Shapep. 303
Maxent Enhancement of 2D Projections from 3D Phased Fourier Data: An Application to Polarised Neutron Diffractionp. 311
Relative Entropy and the Dempster-Laird-Rubin EM Algorithm: Application to the Autofocus Problem in Isar Imagingp. 319
Bayesian Analysis for Fault Location Based on Finite Element Modelsp. 333
Pyramid Imagesp. 341
Fine Structure in the Sunspot Recordp. 345
Topological Correlations in 2D Random Cellular Structuresp. 357
Analysis of DNA Oligonucleotide Hybridization Data: By Maximum Entropyp. 363
Bayesian Image Classification Using Markov Random Fieldsp. 375
Global Bayesian Estimation, Constrained Multiscale Markov Random Fields and the Analysis of Visual Motionp. 383
Critical Properties of the 2D Ising Model: A Markovian Approachp. 389
A Comparison of Different Prior Laws for Bayesian Image Reconstruction in Positron Emission Tomographyp. 393
Flexible Prior Models in Bayesian Image Analysisp. 399
Generalized Maximum Entropy. Comparison with Classical Maximum Entropyp. 407
Binary Task Performance on Images Reconstructed Using MEMSYS 3: Comparison of Machine and Human Observersp. 415
3D Reconstruction from Only Two Projections?p. 423
A Closed Form Maximum Entropy Approach for Reconstructing Image from Incomplete Projectionsp. 431
Key Words Indexp. 437
Authors Indexp. 443
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792322801
ISBN-10: 0792322800
Series: Fundamental Theories of Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 450
Published: 31st July 1993
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.4 x 15.6  x 1.91
Weight (kg): 1.81