Maximum-Entropy and Bayesian Methods in Inverse Problems

ISBN-13: 9789048184187 / Angielski / Miękka / 2010 / 492 str.

C. R. Smith; Jr. Walter T. Grandy

Opis

This volume contains the text of the twenty-five papers presented at two workshops entitled Maximum-Entropy and Bayesian Methods in Applied Statistics, which were held at the University of Wyoming from June 8 to 10, 1981, and from August 9 to 11, 1982. The workshops were organized to bring together researchers from different fields to critically examine maxi mum-entropy and Bayesian methods in science, engineering, medicine, oceanography, economics, and other disciplines. An effort was made to maintain an informal environment where ideas could be easily xchanged. That the workshops were at least partially successful is borne out by the fact that there have been two succeeding workshops, and the upcoming Fifth Workshop promises to be the largest of all. These workshops and their proceedings could not have been brought to their final form without the substantial help of a number of people. The support of David Hofmann, the past chairman, and Glen Rebka, Jr., the present chairman of the Physics Department of the University of Wyoming, has been strong and essential. Glen has taken a special interest in seeing that the proceedings have received the support required for their comple tion. The financial support of the Office of University Research Funds, University of Wyoming, is gratefully acknowledged. The secretarial staff, in particular Evelyn Haskell, Janice Gasaway, and Marce Mitchum, of the University of Wyoming Physics Department has contributed a great number of hours in helping C. Ray Smith organize and direct the workshops."

Spis treści

Incomplete Information and Generalized Inverse Problems.- Where Do We Go from Here?.- to Minimum-Cross-Entropy Spectral Analysis of Multiple Signals.- On an Alleged Breakdown of the Maximum-Entropy Principle.- Algorithms and Applications.- Estimating Occurrence Laws with Maximum Probability, and the Transition to Entropic Estimators.- Fundamentals of Seismic Exploration.- Applied Seismology.- Spectral Analysis and Time Series Models: A Geophysical Perspective.- Absolute Power Density Spectra.- The Entropy of an Image.- A Review of the Problem of Spontaneous Line Splitting in Maximum Entropy Power Spectral Analysis.- Application of Two-Channel Prediction Filtering to the Recursive Filter Design Problem.- Application of Maximum Entropy and Bayesian Optimization Methods to Image Reconstruction from Projections.- Multivariate Extensions of Maximum Entropy Methods.- Inductive Inference and the Maximum Entropy Principle.- Toward a General Theory of Inductive Inference.- Generalized Scattering.- Detection for Active Sonars by Means of Autoregressive Noise Modeling.- Application of Autoregressive Models to the Doppler Sonar Problem.- Maximum-Entropy and Data-Adaptive Procedures in the Investigation of Ocean Waves.- Entropy and Search Theory.- Maximal Entropy in Fluid and Plasma Turbulence: A Review.- Estimation of the Boundary of an Inclusion of Known Material from Scattering Data.- Vertices of Entropy in Economic Modeling.