Bayesian Inference for Source Reconstruction: A Real-World Application

Abstract

This paper applies a Bayesian probabilistic inferential methodology for the reconstruction of the location and emission rate from an actual contaminant source (emission from the Chalk River Laboratories medical isotope production facility) using a small number of activity concentration measurements of a noble gas (Xenon-133) obtained from three stations that form part of the International Monitoring System radionuclide network. The sampling of the resulting posterior distribution of the source parameters is undertaken using a very efficient Markov chain Monte Carlo technique that utilizes a multiple-try differential evolution adaptive Metropolis algorithm with an archive of past states. It is shown that the principal difficulty in the reconstruction lay in the correct specification of the model errors (both scale and structure) for use in the Bayesian inferential methodology. In this context, two different measurement models for incorporation of the model error of the predicted concentrations are considered. The performance of both of these measurement models with respect to their accuracy and precision in the recovery of the source parameters is compared and contrasted.

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Document Details

Document Type
Technical Report
Publication Date
Sep 25, 2014
Accession Number
AD1004016

Entities

People

  • Eugene Yee
  • Ian Hoffman
  • Kurt Ungar

Tags

Communities of Interest

  • Biomedical
  • Sensors

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Applied Mathematics
  • Bayesian Inference
  • Computational Science
  • Detectors
  • Differential Equations
  • Markov Chains
  • Monte Carlo Method
  • Noble Gases
  • North America
  • Operations Research
  • Probabilistic Models
  • Probability
  • Probability Distributions
  • Standards
  • Statistical Analysis

Readers

  • Computational Modeling and Simulation
  • Nuclear and Radiation Engineering.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference