Maximum Entropy and Bayesian Methods

Inhaltsverzeichnis

• Tutorial.
• Clearing up Mysteries — The Original Goal.
• From Rationality and Consistency to Bayesian Probability.
• Classic Maximum Entropy.
• Developments in Maximum Entropy Data Analysis.
• The Three Phases of Statistical Mechanics.
• Bell’s Theorem. Inference and Quantum Transactions.
• Philosophy.
• Probability, Philosophy and Science: A briefing for Bayesians.
• Statistical thermodynamics & Quantum mechanics.
• The Statistics of Quantum Mechanical Wavefunctions.
• Justification of the Maximum Entropy Criterion in Quantum Mechanics.
• Approaches to Non-Equilibrium Statistical Mechanics.
• Applications of Maximum Entropy to Condensed Matter Physics.
• Problems of Maximum-Entropy Formalism in the Statistical Geometry of Simple Liquids.
• Physical measurement techniques.
• Liquid Structure Factor Determination by Neutron Scattering — Some Dangers of Maximum Entropy.
• Quasielastic Neutron Scattering Data Evaluation Using the Maximum Entropy Method.
• Maximum Entropy Reconstruction in Magnetic Resonance Imaging.
• Solution of Autocorrelation Function Constrained Maximum Entropy Problems Using the Method of Simulated Annealing.
• Solution of Laplace Transform Equations (Sum of Exponentials) by Maximum Entropy.
• Maximum Entropy and Bayesian Approach in Tomographic Image Reconstruction and Restoration.
• Crystallography.
• Maximum-Entropy-Based Approaches to X-ray Structure Determination and Data Processing.
• Maximum Entropy in Crystallography.
• A Multisolution Phase Determination Method in X-Ray Crystallography.
• The Challenge of X-RAY and Neutron Powder Diffraction.
• A Statistical Potential for Modelling X-ray Electron Density Maps with Known Phases.
• Chemical Spectroscopy.
• Enhanced Information Recovery From Spectroscopic Data Using MaxEnt.
• Bayesian Spectrum Analysis on QuadratureNmr Data with Noise Correlations.
• Selective Data-Sampling and Reconstruction of Phase Sensitive 2D NMR Spectra Using Maximum Entropy.
• A New Maximum Entropy Processing Algorithm, with Applications to Nuclear Magnetic Resonance Experiments.
• Sampling Strategies for Magnetic Resonance Experiments.
• The Inverse Problem for Nuclear Magnetic Resonance.
• Time series, Power spectra.
• Maximum Entropy Calculations on a Discrete Probability Space: Predictions Confirmed.
• Application of Classical, Bayesian and Maximum Entropy Spectrum Analysis to Nonstationary Time Series Data.
• Identifying Discrete Cycles in Economic Data: Maximum Entropy Spectra and the Direct Fitting of Sinusoidal Functions.
• Maximum Entropy Spectral Analysis of Hilbert Transformed Complex Data.
• Astronomical techniques.
• Maximum Entropy Tomography of Accretion Discs from Their Emission Lines.
• Distances to Clusters of Galaxies Using Maximum Entropy.
• The Application of Maximum Entropy Techniques to Chopped Astronomical Infrared Data.
• Neural networks.
• The Use of Bayesian and Entropic Methods in Neural Network Theory.
• Electronic ‘Neural’ Nets for Solving Ill-Posed Problems with an Entropy Regulariser.
• Fundamentals, Statistics.
• Bayesian Model Selection: Examples Relevant to NMR.
• Regularization and Inverse Problems.
• Maximum Entropy and Inductive Inference.
• Maximum Specific Entropy, Knowledge, Ordering, and Physical Measurements.
• The Metrics Induced by the Kullback Number.
• The Paradox of the Money Pump: A Resolution.
• Constrained Maximum Entropy Methods in an Image Reconstruction Problem.
• Entropy + Rain = Floods.
• Maximum Entropy and Constrained Optimization.
• The Eigenvalues of Mega-dimensional Matrices.
• Bayesian Evaluation of Discrepant Experimental Data.
• Superresolution limit for Signalrecovery.
• A Monotonic Property of Distributions Based on Entropy with Fractile Constraints.
• Kinetic Theory and Ensembles of Maximum Entropy.
• On the Use of Quadratic Regularisation within Maximum Entropy Image Restoration.
• From Chirp to Chip, a Beginning.
• Bayesian Data Analysis: Straight-line fitting.