BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING: 27th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering Saratoga Springs, Ny, 8-13 July 2007

, by Knuth, Kevin H.; Caticha, Ariel; Giffin, Adom; Rodriguez, Carlos C.; Center, Julian L., Jr.

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ISBN: 9780735404687 | 0735404682
Cover: Hardcover
Copyright: 12/1/2007

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This excellent volume considers the methods, applications and even the foundations of a key area of theoretical study. Namely, that of Bayesian probability, entropy and information theory in scientific and engineering applications. The material here has come out of the so-called MaxEnt workshops that for more than 25 years have explored the subject. Application areas include, but are not limited to: astronomy, physics, chemistry, biology, earth science, and engineering.

Preface	p. ix
Dedication	p. xi
Tutorials
Foundations?	p. 3
Information and Entropy	p. 11
Lattice Theory, Measures and Probability	p. 23
Foundations
Probability and Geometry	p. 39
Wrong Priors	p. 47
Towards a Cross-Level Theory of Neural Learning	p. 56
Updating Probabilities with Data and Moments	p. 74
Bayesians Can Learn from Old Data	p. 85
The Marginalization Paradox and the Formal Bayes' Law	p. 93
Positive Evidence for Non-Arbitrary Assignments of Probability	p. 101
Cellular Automata Generalized to an Inferential System	p. 109
From Maxent to Machine Learning and Back	p. 117
Induced Semantics for Undirected Graphs: Another Look at the Hammersley-Clifford Theorem	p. 125
Origins of the Combinatorial Basis of Entropy	p. 133
On Shannon-Jaynes Entropy and Fisher Information	p. 143
The Role of Information in the Probabilistic Reconstruction of Quantum Theory	p. 153
From Information Geometry to Newtonian Dynamics	p. 165
Information Geometry and Chaos on Negatively Curved Statistical Manifolds	p. 175
Gravity from a Probabilistic Point of View	p. 185
Methods
The Concept of Integrated Data Analysis of Complementary Experiments	p. 195
Designing Intelligent Instruments	p. 203
Deconvolution Using Thin-Plate Splines	p. 212
Comparison of Numerical Methods for Evidence Calculation	p. 221
Regression for Proportion Data	p. 229
Inverse Covariance Simplification for Efficient Uncertainty Management	p. 237
Propagation of Statistical Information through Non-Linear Feature Extractions for Robust Speech Recognition	p. 245
Maximum a Posteriori Maximum Entropy Signal Denoising	p. 253
FBST for Unit Root Problems	p. 260
The Problem of Separate Hypothesis via Mixture Models	p. 268
Assigning Priors for Ordered and Bounded Parameters	p. 276
Bayesian Inference Featuring Entropics Priors	p. 283
Strong Nonlinear Correlations, Conditional Entropy and Perfect Estimation	p. 293
Applications
A Bayesian Re-Analysis of HD 11964: Evidence for Three Planets	p. 307
Bayesian Analysis of RR Lyrae Luminosities and Kinematics	p. 315
Estimating Background Spectra	p. 322
Parameter Estimation in Ultrasonic Measurements on Trabecular Bone	p. 329
Model Selection in Ultrasonic Measurements on Trabecular Bone	p. 337
Computing the Probability of Local Brain Connectivity Using Diffusion Tensor Imaging	p. 346
Generalised Skilling-Bryan Minimisation for Micro-Rotation Imaging in Light Microscopy	p. 354
Bayesian Estimator for Angle Recovery: Event Classification and Reconstruction in Positron Emission Tomography	p. 362
Bayesian Tomographic Reconstruction of Microsystems	p. 372
A Nonparametric Bayesian Approach for Emission Tomography Reconstruction	p. 381
Filter Out High Frequency Noise in EEG Data Using the Method of Maximum Entropy	p. 386
Bayesian Estimation of the Learning Effects of Repeated Pointing Tasks	p. 394
Classification of Maize and Weeds by Bayesian Networks	p. 402
Separation of Stochastic and Deterministic Information from Seismological Time Series with Nonlinear Dynamics and Maximum Entropy Methods	p. 410
Using Prior Information in Bayesian Inference - with Application to Fault Diagnosis	p. 418
Application of the Maximum Entropy Method to Estimating Parameter Distributions for Sonar Signal Processing	p. 427
Modeling the Multiple-Antenna Wireless Channel Using Maximum Entropy Methods	p. 435
Analysis of Intrusion Detection and Attack Proliferation in Computer Networks	p. 443
Bayesian Extraction of Deep UV Resonance Raman Signature of Fibrillar Cross-ß Sheet Core based on H-D Exchange Data	p. 450
Lessons about Likelihood Functions from Nuclear Physics	p. 458
Assessment of Electron Energy Distributions in Discharges by Optical Emission Spectroscopy	p. 468
Group Photo	p. 476
Yearbook	p. 479
Photos	p. 483
Author Index	p. 491
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BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING: 27th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering Saratoga Springs, Ny, 8-13 July 2007

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