Maximum-Entropy and Bayesian Methods in Science and Engineering: Volume 2: Applications

ISBN-13: 9789401090568 / Angielski / Miękka / 2012 / 440 str.

Gary J. Erickson;C. Ray Smith

Opis

This volume has its origin in the Fifth, Sixth and Seventh Workshops on "Maximum-Entropy and Bayesian Methods in Applied Statistics," held at the University of Wyoming, August 5-8, 1985, and at Seattle University, August 5-8, 1986, and August 4-7, 1987. It was anticipated that the proceedings of these workshops would be combined, so most of the papers were not collected until after the seventh workshop. Because most of the papers in this volume are in the nature of advancing theory or solving specific problems, as opposed to status reports, it is believed that the contents of this volume will be of lasting interest to the Bayesian community. The workshop was organized to bring together researchers from different fields to critically examine maximum-entropy and Bayesian methods in science and engineering as well as other disciplines. Some of the papers were chosen specifically to kindle interest in new areas that may offer new tools or insight to the reader or to stimulate work on pressing problems that appear to be ideally suited to the maximum-entropy or Bayesian method. These workshops and their proceedings could not have been brought to their final form without the support or help of a number of people.

Spis treści

Seti, Radon Transforms, and Optimization.- Inductive Inference by Neutral Networks.- On the Efficiency of a Class of Maximum Entropy Estimators.- Quantum Statistical Mechanics in Phase Space and the Classical Limit.- Superposition Effects in Differential Entropy and Kullback-Leibler Information.- Super Variational Principles.- Einstein’s Reversal of the Boltzmann Principle and Particle Statistics.- Classical Entropy of a Coherent Spin State: A Local Minimum.- Least Maximum Entropy and Minimum Uncertainty Coherent States.- Maximum Entropy Spectroscopy — Dimes and Mesa.- Information and Entropy of Patterns in Genetic Switchs.- Maximum Entropy and the Phase Problem in Protein Crystallography.- Contrast Transfer Function Correction in Electron Microscopy.- Climatically Induced Cyclic Variations in United States Crop Production: Implications in Economic and Social Science.- A Maximum Entropy Method for Expert System Construction.- Stochastic Relaxation Methods for Image Restoration and Expert Systems.- Towards a Method of Correcting Bias Introduced By the Use of the Error Fitting Method in Conjunction with a Maximum Entropy Processing Algorithm.- Making Maximum Entropy Computations Easier by Adding Extra Constraints (Extended Abstract).- Image Restoration and Reconstruction Using Entropy as a Regularization Functional.- Application of Likelihood And Entropy for Toeplitz Constrained Covariance Estimation.- The Concept of Epoch Entropy in Complex Systems.- A General Theory of Inhomogeneous Systems.- Maximum Entropy and Crack Geometry in Granitic Rocks.- Maximum Entropy Analysis of Liquid Diffraction Data.- Random Array Beamforming.- Decision Making with Barely Any Information: The Role of Mixed Strategies.- Comparison of Bayesian and Dempster’s Rules In Evidence Combination.