Maximum Entropy and Bayesian Methods

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.

Inhalt

1. Bayesian Inference and Maximum Entropy.- Intersubjectivity, Relativistic Covariance, and Conditionals (A New Axiomatization).- Game Theoretical Equilibrium, Maximum Entropy and Minimum Information Discrimination.- Entropy, Moments and Probability Theory.- Bayes-Optimal Visualization of Vector Fields.- A Survey of Convergence Results for Maximum Entropy Methods.- Maximum Entropy Method and Digital Filter Design.- A Theoretical Performance Analysis of Bayesian and Information Theoretic Image Segmentation Criteria.- On Application of Maxent to Solving Frediiolm Integral Equations.- An Algorithm to Process Signals Conveying Statistical Information.- Generalization of the Maximum Entropy Concept and Certain ARMA Processes.- Making Sense of Quantum Mechanics: Why You Should Believe in Hidden Variables.- Bayesian Methods and Court Decision-Making.- Wigmore Diagrams and Bayes Networks.- An Invariance Principle for Updating Probabilities.- Alpha, Evidence, and the Entropic Prior.- Uniformly Distributed Sequences and the Maximum Entropy Principle.- Duality without Tears.- 2. Quantum Physics and Quantum Information.- Entropy, Chaos, and Quantum Mechanics.- Phase-Space Priors in Information Entropy.- Maximum Entropy Descriptions of Quantum Wave Functions.- Towards Quantum ?Entropy and Validity of Quantum Information.- Quantum Statistical Inference.- Dual Measurements and Information in Quantum Optics.- Quantum Entropies and Their Maximizations.- Information Dynamics and Its Application to Gaussian Communication Processes.- Quantum Mechanics How Weird for Bayesians?.- 3. Time Series.- Speech Processing Using Bayesian Inference.- A Bayesian Method for the Detection of Unknown Periodic and Nonperiodic Signals in Binned Time Series.- Noise in the Underdetermined Problem.- 4.Inverse Problems.- Deconvolution with an Unknown PointSpread Function.- Maximum Entropy and Linear Inverse Problems. A Short Review.- Bayesian Maximum Entropy Image Reconstruction from the Scattered Field Data.- Maximum Entropy Image Reconstruction in Eddy Current Tomography.- 5. Applications.- Conductivity-Depth-Imaging of Airborne Electromagnetic Step-Response Data Using Maximum Entropy.- Bayesian Source Estimation from Potential Field Data.- Crystal Phase Dynamics.- Diffraction from Particles of Unknown Shape.- Maxent Enhancement of 2D Projections from 3D Phased Fourier Data: An Application to Polarised Neutron Diffraction.- Relative Entropy and the Dempster-Laird-Rubin EM Algorithm: Application to the Autofocus Problem in ISAR Imaging.- Bayesian Analysis for Fault Location Based on Finite Element Models.- Pyramid Images.- Fine Structure in the Sunspot Record.- Topological Correlations in 2D Random Cellular Structures.- Analysis of DNA Oligonucleotide Hybridization Data: By Maximum Entropy.- 6. Image Restoration and Reconstruction.- Bayesian Image Classification Using Markov Random Fields.- Global Bayesian Estimation, Constrained Multiscale Markov Random Fields and the Analysis of Visual Motion.- Critical Properties of the 2D Ising Model: A Markovian Approach.- A Comparison of Different Prior Laws for Bayesian Image Reconstruction in Positron Emission Tomography.- Flexible Prior Models in Bayesian Image Analysis.- Generalized maximum entropy. Comparison with classical maximum entropy.- Binary Task Performance on Images Reconstructed Using MEMSYS 3: Comparison of Machine and Human Observers.- 3D Reconstruction from Only Two Projections?.- A Closed Form Maximum Entropy Approach for Reconstructing Image from Incomplete Projections.- Key Words Index.- Authors Index.