A Bayesian Methodology for Estimating Uncertainty of Decisions in Safety-Critical Systems

  • Authors:
  • Vitaly Schetinin;Jonathan E. Fieldsend;Derek Partridge;Wojtek J. Krzanowski;Richard M. Everson;Trevor C. Bailey;Adolfo Hernandez

  • Affiliations:
  • Department of Computing and Information Systems, University of Luton, LU1 3JU, UK;School of Engineering, Computer Science and Mathematics, University of Exeter, EX4 4QF, UK;School of Engineering, Computer Science and Mathematics, University of Exeter, EX4 4QF, UK;School of Engineering, Computer Science and Mathematics, University of Exeter, EX4 4QF, UK;School of Engineering, Computer Science and Mathematics, University of Exeter, EX4 4QF, UK;School of Engineering, Computer Science and Mathematics, University of Exeter, EX4 4QF, UK;School of Engineering, Computer Science and Mathematics, University of Exeter, EX4 4QF, UK

  • Venue:
  • Proceedings of the 2006 conference on Integrated Intelligent Systems for Engineering Design
  • Year:
  • 2006

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Abstract

Uncertainty of decisions in safety-critical engineering applications can be estimated on the basis of the Bayesian Markov Chain Monte Carlo (MCMC) technique of averaging over decision models. The use of decision tree (DT) models assists experts to interpret causal relations and find factors of the uncertainty. Bayesian averaging also allows experts to estimate the uncertainty accurately when a priori information on the favored structure of DTs is available. Then an expert can select a single DT model, typically the Maximum a Posteriori model, for interpretation purposes. Unfortunately, a priori information on favored structure of DTs is not always available. For this reason, we suggest a new prior on DTs for the Bayesian MCMC technique. We also suggest a new procedure of selecting a single DT and describe an application scenario. In our experiments on real data our technique outperforms the existing Bayesian techniques in predictive accuracy of the selected single DTs.