메뉴 건너뛰기




Volumn 49, Issue 2, 2007, Pages 138-154

A framework for validation of computer models

Author keywords

Bayesian analysis; Identifiability; Model discrepancy; Prediction

Indexed keywords

BAYESIAN ANALYSIS; IDENTIFIABILITY; LIKELIHOOD METHODOLOGY; MODEL DISCREPANCY;

EID: 34249069162     PISSN: 00401706     EISSN: None     Source Type: Journal    
DOI: 10.1198/004017007000000092     Document Type: Article
Times cited : (534)

References (46)
  • 1
    • 0040427790 scopus 로고    scopus 로고
    • Circuit Optimization via Sequential Computer Experiments: Design of an Output Buffer
    • Aslett, R., Buck, R. J., Duvall, S. G., Sacks, J., and Welch. W. J. (1998), "Circuit Optimization via Sequential Computer Experiments: Design of an Output Buffer," Applied Statistics, 47, 31-48.
    • (1998) Applied Statistics , vol.47 , pp. 31-48
    • Aslett, R.1    Buck, R.J.2    Duvall, S.G.3    Sacks, J.4    Welch, W.J.5
  • 5
    • 34249063455 scopus 로고    scopus 로고
    • Bayesian Validation of a Computer Model for Vehicle Crashworthiness
    • Technical Report 163, National Institute of Statistical Sciences
    • Bayarri, M. J., Berger, J. O., Kennedy, M. C., Kottas, A., Paulo, R., Sacks, J., Cafeo, J. A., Lin, C. H., and Tu, J. (2006b), "Bayesian Validation of a Computer Model for Vehicle Crashworthiness," Technical Report 163, National Institute of Statistical Sciences.
    • (2006)
    • Bayarri, M.J.1    Berger, J.O.2    Kennedy, M.C.3    Kottas, A.4    Paulo, R.5    Sacks, J.6    Cafeo, J.A.7    Lin, C.H.8    Tu, J.9
  • 7
    • 34249069992 scopus 로고    scopus 로고
    • A Framework for Verification and Validation of Computer Models and Simulations
    • internal document, General Motors, Research & Development Center
    • Cafeo, J., and Cavendish, J. (2001), "A Framework for Verification and Validation of Computer Models and Simulations," internal document, General Motors, Research & Development Center.
    • (2001)
    • Cafeo, J.1    Cavendish, J.2
  • 8
    • 34249061605 scopus 로고    scopus 로고
    • Caswell, H. (1976), The Validation Problem, in Systems Analysis and Simulation in Ecology, IV, ed. B. Patten, New York: Academic Press, pp. 313-325.
    • Caswell, H. (1976), "The Validation Problem," in Systems Analysis and Simulation in Ecology, Vol. IV, ed. B. Patten, New York: Academic Press, pp. 313-325.
  • 9
    • 0028315751 scopus 로고
    • Arctic Sea Ice Variability: Model Sensitivities and a Multidecadal Simulation
    • Chapman, W., Welch, W., Bowman, K., Sacks, J., and Walsh, J. (1994), "Arctic Sea Ice Variability: Model Sensitivities and a Multidecadal Simulation," Journal of Geophysical Research, 99, 919-935.
    • (1994) Journal of Geophysical Research , vol.99 , pp. 919-935
    • Chapman, W.1    Welch, W.2    Bowman, K.3    Sacks, J.4    Walsh, J.5
  • 10
    • 34249007034 scopus 로고    scopus 로고
    • Bayesian Analysis of Complex Dynamic Computer Models
    • eds. K. Hanson and F. Hemez, Los Alamos National Laboratory, pp, available at
    • Conti, S., Anderson, C., O'Hagan, A., and Kennedy, M. (2005), "Bayesian Analysis of Complex Dynamic Computer Models," in Sensitivity Analysis of Model Output, eds. K. Hanson and F. Hemez, Los Alamos National Laboratory, pp. 147-156; available at http://library.lanl. gov/ccw/samo2004/.
    • (2005) Sensitivity Analysis of Model Output , pp. 147-156
    • Conti, S.1    Anderson, C.2    O'Hagan, A.3    Kennedy, M.4
  • 12
    • 0002483326 scopus 로고    scopus 로고
    • Pressure Matching for Hydrocarbon Reservoirs: A Case Study in the Use of Bayes Linear Strategies for Large Computer Experiments
    • eds. C. Gatsonis, J. S. Hodges, R. E. Kass, R. McCulloch, P. Rossi, and N. D. Singpurwalla, New York: Springer, pp
    • Craig, P. S., Goldstein, M., Seheult, A. H., and Smith, J. A. (1997), "Pressure Matching for Hydrocarbon Reservoirs: A Case Study in the Use of Bayes Linear Strategies for Large Computer Experiments," in Case Studies in Bayesian Statistics, Vol. III, eds. C. Gatsonis, J. S. Hodges, R. E. Kass, R. McCulloch, P. Rossi, and N. D. Singpurwalla, New York: Springer, pp. 36-93.
    • (1997) Case Studies in Bayesian Statistics , vol.3 , pp. 36-93
    • Craig, P.S.1    Goldstein, M.2    Seheult, A.H.3    Smith, J.A.4
  • 13
    • 84950437532 scopus 로고
    • Bayesian Prediction of Deterministic Functions, With Applications to the Design and Analysis of Computer Experiments
    • Currin, C., Mitchell, T., Morris, M., and Ylvisaker, D. (1991), "Bayesian Prediction of Deterministic Functions, With Applications to the Design and Analysis of Computer Experiments," Journal of the American Statistical Association, 86, 953-963.
    • (1991) Journal of the American Statistical Association , vol.86 , pp. 953-963
    • Currin, C.1    Mitchell, T.2    Morris, M.3    Ylvisaker, D.4
  • 14
    • 0347859272 scopus 로고    scopus 로고
    • Measuring the Predictive Capability of Computational Models: Principles and Methods, Issues and Illustrations
    • Technical Report SAND2001-0243, Sandia National Laboratories
    • Easterling, R. G. (2001), "Measuring the Predictive Capability of Computational Models: Principles and Methods, Issues and Illustrations," Technical Report SAND2001-0243, Sandia National Laboratories.
    • (2001)
    • Easterling, R.G.1
  • 15
    • 34249005711 scopus 로고    scopus 로고
    • Calibrated Bayesian Forecasting Using Large Computer Simulators
    • University of Durham, Statistics and Probability Group
    • Goldstein, M., and Rougier, J. C. (2003), "Calibrated Bayesian Forecasting Using Large Computer Simulators," technical report, University of Durham, Statistics and Probability Group.
    • (2003) technical report
    • Goldstein, M.1    Rougier, J.C.2
  • 16
    • 34249000536 scopus 로고    scopus 로고
    • Probabilistic Formulations for Transferring Inferences From Mathematical Models to Physical Systems
    • University of Durham, Statistics and Probability Group
    • _ (2004), "Probabilistic Formulations for Transferring Inferences From Mathematical Models to Physical Systems," technical report, University of Durham, Statistics and Probability Group.
    • (2004) technical report
    • Goldstein, M.1    Rougier, J.C.2
  • 17
    • 0028579042 scopus 로고
    • Parameter Space Exploration of an Ocean General Circulation Model Using an Isopycnal Mixing Parametrization
    • Gough, W., and Welch, W. (1994), "Parameter Space Exploration of an Ocean General Circulation Model Using an Isopycnal Mixing Parametrization," Journal of Marine Research, 52, 773-796.
    • (1994) Journal of Marine Research , vol.52 , pp. 773-796
    • Gough, W.1    Welch, W.2
  • 19
    • 15844429309 scopus 로고    scopus 로고
    • On Model Expansion, Model Contraction, Identifiability and Prior Information: Two Illustrative Scenarios Involving Mismeasured Variables
    • Gustafson, P. (2005), "On Model Expansion, Model Contraction, Identifiability and Prior Information: Two Illustrative Scenarios Involving Mismeasured Variables," Statistical Science, 20, 111-140.
    • (2005) Statistical Science , vol.20 , pp. 111-140
    • Gustafson, P.1
  • 20
    • 33748802753 scopus 로고    scopus 로고
    • Sample Size Implications When Biases Are Modeled Rather Than Ignored
    • _ (2006), "Sample Size Implications When Biases Are Modeled Rather Than Ignored," Journal of the Royal Statistical Society, Ser. A, 169, 1-17.
    • (2006) Journal of the Royal Statistical Society, Ser. A , vol.169 , pp. 1-17
    • Gustafson, P.1
  • 21
    • 2942619617 scopus 로고    scopus 로고
    • Space and Space-Time Modeling Using Process Convolutions
    • eds. C. Anderson, V. Barnett, P. Chatwin, and A. El-Shaarawi, London: Springer-Verlag, pp
    • Higdon, D. (2002), "Space and Space-Time Modeling Using Process Convolutions," in Quantitative Methods for Current Environmental Issues, eds. C. Anderson, V. Barnett, P. Chatwin, and A. El-Shaarawi, London: Springer-Verlag, pp. 37-56.
    • (2002) Quantitative Methods for Current Environmental Issues , pp. 37-56
    • Higdon, D.1
  • 22
    • 33745895688 scopus 로고    scopus 로고
    • Computer Model Calibration Using High Dimensional Output
    • Technical Report LAUR-05-6410, Los Alamos National Laboratories
    • Higdon, D., Gattiker, J., and Williams, B. (2005), "Computer Model Calibration Using High Dimensional Output," Technical Report LAUR-05-6410, Los Alamos National Laboratories.
    • (2005)
    • Higdon, D.1    Gattiker, J.2    Williams, B.3
  • 25
    • 0042902691 scopus 로고    scopus 로고
    • Bayesian Analysis of Computer Code Outputs
    • eds. C. W. Anderson, V. Barnett, P. C. Chatwin, and A. H. El-Shaarawi, London: Springer-Verlag, pp
    • Kennedy, M. C., O'Hagan, A., and Higgins, N. (2002), "Bayesian Analysis of Computer Code Outputs," in Quantitative Methods for Current Environmental Issues, eds. C. W. Anderson, V. Barnett, P. C. Chatwin, and A. H. El-Shaarawi, London: Springer-Verlag, pp. 227-243.
    • (2002) Quantitative Methods for Current Environmental Issues , pp. 227-243
    • Kennedy, M.C.1    O'Hagan, A.2    Higgins, N.3
  • 26
    • 0036678130 scopus 로고    scopus 로고
    • Markov Random Field Models for High-Dimensional Parameters in Simulations of Fluid Flow in Porous Media
    • Lee, H., Higdon, D., Bi, Z., Ferreira, M., and West, M. (2002), "Markov Random Field Models for High-Dimensional Parameters in Simulations of Fluid Flow in Porous Media," Technometrics, 44, 230-241.
    • (2002) Technometrics , vol.44 , pp. 230-241
    • Lee, H.1    Higdon, D.2    Bi, Z.3    Ferreira, M.4    West, M.5
  • 27
    • 17444426059 scopus 로고    scopus 로고
    • Efficient Models for Correlated Data via Convolutions of Intrinsic Processes
    • Lee, H., Higdon, D., Calder, C., and Holloman, C. (2005), "Efficient Models for Correlated Data via Convolutions of Intrinsic Processes," Statistical Modelling, 5, 53-74.
    • (2005) Statistical Modelling , vol.5 , pp. 53-74
    • Lee, H.1    Higdon, D.2    Calder, C.3    Holloman, C.4
  • 28
    • 0000923281 scopus 로고
    • Bayesian Design and Analysis of Computer Experiments: Use of Derivatives in Surface Prediction
    • Morris, M. D., Mitchell, T. J., and Ylvisaker, D. (1993), "Bayesian Design and Analysis of Computer Experiments: Use of Derivatives in Surface Prediction," Technometrics, 35, 243-255.
    • (1993) Technometrics , vol.35 , pp. 243-255
    • Morris, M.D.1    Mitchell, T.J.2    Ylvisaker, D.3
  • 29
    • 1342303658 scopus 로고    scopus 로고
    • Estimating Percentiles of Computer Code Outputs
    • Oakley, J. (2004), "Estimating Percentiles of Computer Code Outputs," Applied Statistics, 53, 83-93.
    • (2004) Applied Statistics , vol.53 , pp. 83-93
    • Oakley, J.1
  • 30
    • 0041399511 scopus 로고    scopus 로고
    • Bayesian Inference for the Uncertainty Distribution of Computer Model Outputs
    • Oakley, J., and O'Hagan, A. (2002), "Bayesian Inference for the Uncertainty Distribution of Computer Model Outputs," Biometrika, 89, 769-784.
    • (2002) Biometrika , vol.89 , pp. 769-784
    • Oakley, J.1    O'Hagan, A.2
  • 32
    • 0003562565 scopus 로고    scopus 로고
    • Validation Methodology in Computational Fluid Dynamics
    • Technical Report 2000-2549, American Institute of Aeronautics and Astronautics
    • Oberkampf, W., and Trucano, T. (2000), "Validation Methodology in Computational Fluid Dynamics," Technical Report 2000-2549, American Institute of Aeronautics and Astronautics.
    • (2000)
    • Oberkampf, W.1    Trucano, T.2
  • 33
    • 0028763687 scopus 로고
    • Verification, Validation and Confirmation of Numerical Models in the Earth Sciences
    • Oreskes, N., Shrader-Frechette, K., and Belitz, K. (1994), "Verification, Validation and Confirmation of Numerical Models in the Earth Sciences," Science, 263, 641-646.
    • (1994) Science , vol.263 , pp. 641-646
    • Oreskes, N.1    Shrader-Frechette, K.2    Belitz, K.3
  • 34
    • 22944461402 scopus 로고    scopus 로고
    • Default Priors for Gaussian Processes
    • Paulo, R. (2005), "Default Priors for Gaussian Processes," The Annals of Statistics, 33, 556-582.
    • (2005) The Annals of Statistics , vol.33 , pp. 556-582
    • Paulo, R.1
  • 35
    • 0003401832 scopus 로고    scopus 로고
    • Guidelines for Sandia ASCI Verification and Validation Plans: Content and Format, Version 2.0
    • Technical Report SAND 2001-3101, Sandia National Laboratories
    • Pilch, M., Trucano, T., Moya, J. L., Froehlich, G., Hodges, A., and Peercy, D. (2001), "Guidelines for Sandia ASCI Verification and Validation Plans: Content and Format, Version 2.0," Technical Report SAND 2001-3101, Sandia National Laboratories.
    • (2001)
    • Pilch, M.1    Trucano, T.2    Moya, J.L.3    Froehlich, G.4    Hodges, A.5    Peercy, D.6
  • 39
    • 0004237770 scopus 로고    scopus 로고
    • Saltelli, A, Chan, K, and Scott, M, eds, Chichester, U.K, Wiley
    • Saltelli, A., Chan, K., and Scott, M. (eds.) (2000), Sensitivity Analysis, Chichester, U.K.: Wiley.
    • (2000) Sensitivity Analysis
  • 41
    • 0042171731 scopus 로고    scopus 로고
    • Bayesian Inference for Nonstationary Spatial Covariance Structure via Spatial Deformatations
    • Schmidt, A., and O'Hagan, A. (2003), "Bayesian Inference for Nonstationary Spatial Covariance Structure via Spatial Deformatations," Journal of the Royal Statistical Society, Ser. B, 65, 745-758.
    • (2003) Journal of the Royal Statistical Society, Ser. B , vol.65 , pp. 745-758
    • Schmidt, A.1    O'Hagan, A.2
  • 42
    • 0035630521 scopus 로고    scopus 로고
    • Calibration of p Values for Testing Precise Null Hypotheses
    • Sellke, T., Bayarri, M., and Berger, J. (2001), "Calibration of p Values for Testing Precise Null Hypotheses," The American Statistician, 55, 62-71.
    • (2001) The American Statistician , vol.55 , pp. 62-71
    • Sellke, T.1    Bayarri, M.2    Berger, J.3
  • 44
    • 0842328967 scopus 로고    scopus 로고
    • General Concepts for Experimental Validation of ASCII Code Applications
    • Technical Report SAND 2002-0341, Sandia National Laboratories
    • Trucano, T., Pilch, M., and Oberkampf, W. O. (2002), "General Concepts for Experimental Validation of ASCII Code Applications," Technical Report SAND 2002-0341, Sandia National Laboratories.
    • (2002)
    • Trucano, T.1    Pilch, M.2    Oberkampf, W.O.3
  • 45
    • 84885284651 scopus 로고    scopus 로고
    • Computational Modeling of Resistance Spot Welding of Aluminum
    • R&D-9152, GM Research & Development Center
    • Wang, P., and Hayden, D. ( 1999), "Computational Modeling of Resistance Spot Welding of Aluminum," Research Report R&D-9152, GM Research & Development Center.
    • (1999) Research Report
    • Wang, P.1    Hayden, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.