Paper
12 May 1995 Exploring the reliability of Bayesian reconstructions
Kenneth M. Hanson, Gregory S. Cunningham
Author Affiliations +
Abstract
The Bayesian approach allows one to combine measurement data with prior knowledge about models of reality to draw inferences about the validity of those models. The posterior probability quantifies the degree of certainty one has about those models. We propose a method to explore the reliability, or uncertainty, of specific features of a Bayesian solution. If on draws an analogy between the negative logarithm of the posterior and a physical potential, the gradient of this potential can be interpreted as a force that acts on the model. As model parameters are perturbed from their maximum a posteriori (MAP) values, the strength of the restoring force that drives them back to the MAP solution is directly related to the uncertainty in those parameter estimates. The correlations between the uncertainties of parameter estimates can be elucidated.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Kenneth M. Hanson and Gregory S. Cunningham "Exploring the reliability of Bayesian reconstructions", Proc. SPIE 2434, Medical Imaging 1995: Image Processing, (12 May 1995); https://doi.org/10.1117/12.208713
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CITATIONS
Cited by 17 scholarly publications.
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KEYWORDS
Data modeling

Reliability

Lanthanum

Signal attenuation

Tomography

Computer simulations

Virtual reality

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