Bayes linear uncertainty analysis for complex physical systems modelled by computer simulators
Michael Goldstein (University of Durham)
Friday 13th March, 2015 15:00-16:00 Maths 204
Abstract
Most large and complex physical systems are studied by
mathematical models, implemented as high dimensional computer
simulators. While all such cases differ in physical description, each
analysis of a physical system based on a computer simulator involves
the same underlying sources of uncertainty. There is a growing field
of study which aims to quantify and synthesise all of the
uncertainties involved in relating models to physical systems, within
the framework of Bayesian statistics, and to use the resultant
uncertainty specification to address problems of forecasting and
decision making based on the application of these methods. This talk
will give an overview of aspects of this emerging methodology, with
particular emphasis on the Bayes linear approach to emulation,
structural discrepancy modelling, iterative history matching and
forecasting. The methodology will be illustrated with examples of
current areas of practical application, and, in particular, to the
analysis of flood models.
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