Title
Approximations for Gibbs Distribution Normalising Constants
Abstract
A key difficulty in the use of Gibbs prior distributions in Bayesian image analysis is the intractability of the normalisation constant. One approach is to perform off-line simulations which allow a calibration of normalisation constant against prior parameter. In this paper the reverse-logistic regression approach to calibration will be examined for various Gibbs distributions and explicit parametric equations will be proposed. A simple method for combining separate calibrations will be illustrated and the relationship between normalisation constant and image size will be explored with an empirical approximation proposed.
Year
DOI
Venue
2002
10.1023/A:1020752516117
Statistics and Computing
Keywords
Field
DocType
Bayesian image analysis,Markov random field,Markov chain Monte Carlo,normalising constant,partition function,reverse-logistic regression
Mathematical optimization,Boltzmann distribution,Parametric equation,Markov chain Monte Carlo,Regression,Partition function (statistical mechanics),Markov random field,Statistics,Mathematics,Gibbs sampling,Bayesian probability
Journal
Volume
Issue
ISSN
12
4
1573-1375
Citations 
PageRank 
References 
1
0.40
2
Authors
1
Name
Order
Citations
PageRank
R. G. Aykroyd132.15