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Activity Number: 62 - New Directions in Computer Experiments
Type: Topic Contributed
Date/Time: Sunday, July 30, 2017 : 4:00 PM to 5:50 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract #324394
Title: Nonparametric Functional Calibration of Computer Models
Author(s): Andrew Brown* and Sez Atamturktur
Companies: Clemson University and Glenn Department of Civil Engineering, Clemson University
Keywords: Bayesian statistics ; Gaussian process ; identifiability ; model validation ; uncertainty quantification
Abstract:

Standard methods in computer model calibration treat the calibration parameters as constant throughout the domain of control inputs. In many applications, systematic variation may cause the best values for the calibration parameters to change across different settings. When not accounted for in the code, this variation can make the computer model inadequate. We propose a framework for modeling the calibration parameters as functions of the control inputs to account for a computer model's incomplete system representation in this regard, while simultaneously allowing for possible constraints imposed by prior expert opinion. We demonstrate how inappropriate modeling assumptions can mislead a researcher into thinking a calibrated model is in need of an empirical discrepancy term when it is only needed to allow for a functional dependence of the calibration parameters on the inputs. We apply our approach to plastic deformation of a visco-plastic self-consistent material in which the critical resolved shear stress is known to vary with temperature.


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