Maximum Entropy and Bayesian Methods

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 Point—Spread 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.