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Activity Number: 532
Type: Topic Contributed
Date/Time: Thursday, August 2, 2007 : 10:30 AM to 12:20 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #308951
Title: Bayesian Kalman Filter for Emulation of Complex Computer Models
Author(s): Gentry White*+ and Peter Reichert
Companies: North Carolina State University and Swiss Federal Institute of Aquatic Science and Technology
Address: 2501 Founders Drive, Raleigh, NC, 27695-8203,
Keywords: Bayesian ; Emulator ; State-space Model ; Kalman FIlter ; Dynamic Systems
Abstract:

Non-linear computer models can be used to simulate complex dynamic systems. The expense of running these models limits exploration of overall system behavior. In this cases a simpler linearized computer model called an emulator is desirable to explore system behavior under a variety of inputs. A good emulator should include the relevant physics for the system, perfectly interpolate the observed data and provide reasonable estimates of the complex model output when there are no observations. In the case of modeling dynamic systems we apply a state-space model, using a Kalman filter in the context of Bayesian estimation in order to construct an emulator. This model is a Gaussian Process and thus has good emulator properties. The model developed here is shown to provide a reasonable emulator for a real world dataset concerning a hydrological ground water runoff model.


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Revised September, 2007