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RESEARCH PRODUCT

A Bayesian analysis of the thermal challenge problem

Maria J. BayarriF. LiuJames O. BergerJ SacksRui Paulo

subject

Statement (computer science)Stochastic processComputer sciencebusiness.industryMechanical EngineeringBayesian probabilityComputational MechanicsGeneral Physics and AstronomyUnbiased EstimationComputer Science Applicationssymbols.namesakeMechanics of MaterialssymbolsArtificial intelligenceRepresentation (mathematics)businessGaussian processSimulation

description

Abstract A major question for the application of computer models is Does the computer model adequately represent reality? Viewing the computer models as a potentially biased representation of reality, Bayarri et al. [M. Bayarri, J. Berger, R. Paulo, J. Sacks, J. Cafeo, J. Cavendish, C. Lin, J. Tu, A framework for validation of computer models, Technometrics 49 (2) (2007) 138–154] develop the simulator assessment and validation engine ( SAVE ) method as a general framework for answering this question. In this paper, we apply the SAVE method to the challenge problem which involves a thermal computer model designed for certain devices. We develop a statement of confidence that the devices modeled can be applied in intended situations.

https://doi.org/10.1016/j.cma.2007.05.032