Maximum Entropy and Bayesian Methods: Cambridge, England, 1988

Front Matter....Pages i-xv
Clearing up Mysteries — The Original Goal....Pages 1-27
From Rationality and Consistency to Bayesian Probability....Pages 29-44
Classic Maximum Entropy....Pages 45-52
Developments in Maximum Entropy Data Analysis....Pages 53-71
The Three Phases of Statistical Mechanics....Pages 73-91
Bell’s Theorem. Inference and Quantum Transactions....Pages 93-105
Probability, Philosophy and Science: A briefing for Bayesians....Pages 107-116
The Statistics of Quantum Mechanical Wavefunctions....Pages 117-122
Justification of the Maximum Entropy Criterion in Quantum Mechanics....Pages 123-129
Approaches to Non-Equilibrium Statistical Mechanics....Pages 131-136
Applications of Maximum Entropy to Condensed Matter Physics....Pages 137-142
Problems of Maximum-Entropy Formalism in the Statistical Geometry of Simple Liquids....Pages 143-149
Liquid Structure Factor Determination by Neutron Scattering — Some Dangers of Maximum Entropy....Pages 151-162
Quasielastic Neutron Scattering Data Evaluation Using the Maximum Entropy Method....Pages 163-173
Maximum Entropy Reconstruction in Magnetic Resonance Imaging....Pages 175-180
Solution of Autocorrelation Function Constrained Maximum Entropy Problems Using the Method of Simulated Annealing....Pages 181-189
Solution of Laplace Transform Equations (Sum of Exponentials) by Maximum Entropy....Pages 191-194
Maximum Entropy and Bayesian Approach in Tomographic Image Reconstruction and Restoration....Pages 195-201
Maximum-Entropy-Based Approaches to X-ray Structure Determination and Data Processing....Pages 203-212
Maximum Entropy in Crystallography....Pages 213-224
A Multisolution Phase Determination Method in X-Ray Crystallography....Pages 225-232
The Challenge of X-RAY and Neutron Powder Diffraction....Pages 233-239
A Statistical Potential for Modelling X-ray Electron Density Maps with Known Phases....Pages 241-249
Enhanced Information Recovery From Spectroscopic Data Using MaxEnt....Pages 251-259
Bayesian Spectrum Analysis on Quadrature Nmr Data with Noise Correlations....Pages 261-273
Selective Data-Sampling and Reconstruction of Phase Sensitive 2D NMR Spectra Using Maximum Entropy....Pages 275-284
A New Maximum Entropy Processing Algorithm, with Applications to Nuclear Magnetic Resonance Experiments....Pages 285-290
Sampling Strategies for Magnetic Resonance Experiments....Pages 291-296
The Inverse Problem for Nuclear Magnetic Resonance....Pages 297-302
Maximum Entropy Calculations on a Discrete Probability Space: Predictions Confirmed....Pages 303-308
Application of Classical, Bayesian and Maximum Entropy Spectrum Analysis to Nonstationary Time Series Data....Pages 309-319
Identifying Discrete Cycles in Economic Data: Maximum Entropy Spectra and the Direct Fitting of Sinusoidal Functions....Pages 321-329
Maximum Entropy Spectral Analysis of Hilbert Transformed Complex Data....Pages 331-338
Maximum Entropy Tomography of Accretion Discs from Their Emission Lines....Pages 339-345
Distances to Clusters of Galaxies Using Maximum Entropy....Pages 347-354
The Application of Maximum Entropy Techniques to Chopped Astronomical Infrared Data....Pages 355-362
The Use of Bayesian and Entropic Methods in Neural Network Theory....Pages 363-370
Electronic ‘Neural’ Nets for Solving Ill-Posed Problems with an Entropy Regulariser....Pages 371-376
Bayesian Model Selection: Examples Relevant to NMR....Pages 377-388
Regularization and Inverse Problems....Pages 389-396
Maximum Entropy and Inductive Inference....Pages 397-403
Maximum Specific Entropy, Knowledge, Ordering, and Physical Measurements....Pages 405-414
The Metrics Induced by the Kullback Number....Pages 415-422
The Paradox of the Money Pump: A Resolution....Pages 423-428
Constrained Maximum Entropy Methods in an Image Reconstruction Problem....Pages 429-435
Entropy + Rain = Floods....Pages 437-445
Maximum Entropy and Constrained Optimization....Pages 447-454
The Eigenvalues of Mega-dimensional Matrices....Pages 455-466
Bayesian Evaluation of Discrepant Experimental Data....Pages 467-474
Superresolution limit for Signal recovery....Pages 475-480
A Monotonic Property of Distributions Based on Entropy with Fractile Constraints....Pages 481-490
Kinetic Theory and Ensembles of Maximum Entropy....Pages 491-496
On the Use of Quadratic Regularisation within Maximum Entropy Image Restoration....Pages 497-504
From Chirp to Chip, a Beginning....Pages 505-510
Bayesian Data Analysis: Straight-line fitting....Pages 511-518
Back Matter....Pages 519-525