Fundamental Theories of Physics

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

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Hardcover | 31 July 1993

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460 Pages

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The Twelfth International Workshop on Maximum Entropy and Bayesian Methods in Sciences and Engineering (MaxEnt 92) was held in Paris, France, at the Centre National de la Recherche Scientifique (CNRS), July 19-24, 1992. It is important to note that, since its creation in 1980 by some of the researchers of the physics department at the Wyoming University in Laramie, this was the second time that it took place in Europe, the first time was in 1988 in Cambridge. The two specificities of MaxEnt workshops are their spontaneous and informal charac ters which give the participants the possibility to discuss easily and to make very fruitful scientific and friendship relations among each others. This year's organizers had fixed two main objectives: i) to have more participants from the European countries, and ii) to give special interest to maximum entropy and Bayesian methods in signal and image processing. We are happy to see that we achieved these objectives: i) we had about 100 participants with more than 50 per cent from the European coun tries, ii) we received many papers in the signal and image processing subjects and we could dedicate a full day of the workshop to the image modelling, restoration and recon struction problems.

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Non-Fiction Computing & I.T.Computer Science Digital Signal Processing (DSP)Image Processing Science Physics Classical Mathematics Energy Mathematics Probability & Statistics Science in General

Philosophy of Science Graphical & Digital Media Applications Mathematical Physics Artificial Intelligence Computer Vision

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

Fundamental Theories of Physics

At a Glance

Hardcover

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