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.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 84650734 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A sequential approach for stochastic computer model calibration and prediction – Name: Author Label: Authors Group: Au 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> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Reliability+Engineering+%26+System+Safety%22">Reliability Engineering & System Safety</searchLink>. Mar2013, Vol. 111, p273-286. 14p. – Name: Subject Label: Subjects Group: Su 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> – Name: Abstract Label: Abstract Group: Ab 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: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.ress.2012.11.004 Languages: – Code: eng Text: English PhysicalDescription: 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 Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Yuan, Jun – PersonEntity: Name: NameFull: Ng, Szu Hui IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2013 Type: published Y: 2013 Identifiers: – Type: issn-print Value: 09518320 Numbering: – Type: volume Value: 111 Titles: – TitleFull: Reliability Engineering & System Safety Type: main |
| ResultId | 1 |