A sequential approach for stochastic computer model calibration and prediction

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Title: A sequential approach for stochastic computer model calibration and prediction
Authors: Yuan, Jun1 jyuan@nus.edu.sg, Ng, Szu Hui isensh@nus.edu.sg
Source: Reliability Engineering & System Safety. Mar2013, Vol. 111, p273-286. 14p.
Subjects: Sequential approach (Teaching method), Stochastic analysis, Calibration, Prediction models, Computer simulation, Computational complexity, Decision making
Abstract: Abstract: Computer models are widely used to simulate complex and costly real processes and systems. When the computer model is used to assess and certify the real system for decision making, it is often important to calibrate the computer model so as to improve the model’s predictive accuracy. A sequential approach is proposed in this paper for stochastic computer model calibration and prediction. More precisely, we propose a surrogate based Bayesian approach for stochastic computer model calibration which accounts for various uncertainties including the calibration parameter uncertainty in the follow up prediction and computer model analysis. We derive the posterior distribution of the calibration parameter and the predictive distributions for both the real process and the computer model which quantify the calibration and prediction uncertainty and provide the analytical calibration and prediction results. We also derive the predictive distribution of the discrepancy term between the real process and the computer model that can be used to validate the computer model. Furthermore, in order to efficiently use limited data resources to obtain a better calibration and prediction performance, we propose a two-stage sequential approach which can effectively allocate the limited resources. The accuracy and efficiency of the proposed approach are illustrated by the numerical examples. [Copyright &y& Elsevier]
Copyright of Reliability Engineering & System Safety is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A sequential approach for stochastic computer model calibration and prediction
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  Data: <searchLink fieldCode="AR" term="%22Yuan%2C+Jun%22">Yuan, Jun</searchLink><relatesTo>1</relatesTo><i> jyuan@nus.edu.sg</i><br /><searchLink fieldCode="AR" term="%22Ng%2C+Szu+Hui%22">Ng, Szu Hui</searchLink><i> isensh@nus.edu.sg</i>
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  Data: <searchLink fieldCode="JN" term="%22Reliability+Engineering+%26+System+Safety%22">Reliability Engineering & System Safety</searchLink>. Mar2013, Vol. 111, p273-286. 14p.
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  Data: <searchLink fieldCode="DE" term="%22Sequential+approach+%28Teaching+method%29%22">Sequential approach (Teaching method)</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+analysis%22">Stochastic analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Calibration%22">Calibration</searchLink><br /><searchLink fieldCode="DE" term="%22Prediction+models%22">Prediction models</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+complexity%22">Computational complexity</searchLink><br /><searchLink fieldCode="DE" term="%22Decision+making%22">Decision making</searchLink>
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  Data: Abstract: Computer models are widely used to simulate complex and costly real processes and systems. When the computer model is used to assess and certify the real system for decision making, it is often important to calibrate the computer model so as to improve the model’s predictive accuracy. A sequential approach is proposed in this paper for stochastic computer model calibration and prediction. More precisely, we propose a surrogate based Bayesian approach for stochastic computer model calibration which accounts for various uncertainties including the calibration parameter uncertainty in the follow up prediction and computer model analysis. We derive the posterior distribution of the calibration parameter and the predictive distributions for both the real process and the computer model which quantify the calibration and prediction uncertainty and provide the analytical calibration and prediction results. We also derive the predictive distribution of the discrepancy term between the real process and the computer model that can be used to validate the computer model. Furthermore, in order to efficiently use limited data resources to obtain a better calibration and prediction performance, we propose a two-stage sequential approach which can effectively allocate the limited resources. The accuracy and efficiency of the proposed approach are illustrated by the numerical examples. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Reliability Engineering & System Safety is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.1016/j.ress.2012.11.004
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 14
        StartPage: 273
    Subjects:
      – SubjectFull: Sequential approach (Teaching method)
        Type: general
      – SubjectFull: Stochastic analysis
        Type: general
      – SubjectFull: Calibration
        Type: general
      – SubjectFull: Prediction models
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Computational complexity
        Type: general
      – SubjectFull: Decision making
        Type: general
    Titles:
      – TitleFull: A sequential approach for stochastic computer model calibration and prediction
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            NameFull: Yuan, Jun
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            NameFull: Ng, Szu Hui
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            – D: 01
              M: 03
              Text: Mar2013
              Type: published
              Y: 2013
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              Value: 111
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            – TitleFull: Reliability Engineering & System Safety
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