Bayesian field theory

Jorg C. Lemm

426 pages, parution le 28/07/2003

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Résumé

"The value of a statistical method outlined by [the Rev. Thomas] Bayes in 1763 has become increasingly apparent and has resulted in a blossoming of 'Bayesian' methods in scientific fields ranging from archeology to computing."

The Economist

Ask a traditional mathematician the likely outcome of a coin toss, and he will reply that no evidence exists on which to base such a prediction. Ask a Bayesian, and he will examine the coin, conclude that it was probably not tampered with, and predict five hundred heads in a thousand tosses; a subsequent experiment would then be used to refine this prediction. The Bayesian approach, in other words, permits the use of prior knowledge when testing a hypothesis.

Long the province of mathematicians and statisticians, Bayesian methods are applied in this ground-breaking book to problems in cutting-edge physics. Jorg C. Lemm offers practical examples of Bayesian analysis for the physicist working in such areas as neural networks, artificial intelligence, and inverse problems in quantum theory. The book also includes nonparametric density estimation problems, including, as special cases, nonparametric regression and pattern recognition. Thought-provoking and sure to be controversial, Bayesian Field Theory will be of interest to physicists as well as to other specialists in the rapidly growing number of fields that make use of Bayesian methods.

Introduction
Bayesian framework
Gaussian prior factors
Parameterizing likelihoods : Variational methods
Parameterinzing priors : Hyperarameters
Mixtures of Gaussian prior factors
Bayesian inverse quantum theory (BIQT)
Summary

Appendices
Bibliography
Index

L'auteur - Jorg C. Lemm

Jorg C. Lemm is a former teacher of physics and psychology at the University of Münster, Germany, and has worked in the area of statistics, decision theory, and neural networks.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Johns Hopkins
Auteur(s)	Jorg C. Lemm
Parution	28/07/2003
Nb. de pages	426
Format	16 x 24
Couverture	Relié
Poids	755g
Intérieur	Noir et Blanc
EAN13	9780801872204