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Volumn 103, Issue 483, 2008, Pages 1119-1130

Bayesian treed Gaussian process models with an application to computer modeling

Author keywords

Computer simulator; Heteroscedasticity; Nonparametric regression; Nonstationary spatial model; Recursive partitioning

Indexed keywords


EID: 54949111733     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214508000000689     Document Type: Article
Times cited : (577)

References (32)
  • 1
    • 0003501215 scopus 로고    scopus 로고
    • A Review of Gaussian Random Fields and Correlation Functions,
    • Technical Report 917, Norwegian Computing Center
    • Abrahamsen, P. (1997), "A Review of Gaussian Random Fields and Correlation Functions," Technical Report 917, Norwegian Computing Center.
    • (1997)
    • Abrahamsen, P.1
  • 7
    • 0035095797 scopus 로고    scopus 로고
    • Bayesian Estimation of Semiparametric Nonstationary Spatial Covariance Structure
    • Damian, D., Sampson, P. D., and Guttorp, P. (2001), "Bayesian Estimation of Semiparametric Nonstationary Spatial Covariance Structure," Environmetrics, 12, 161-178.
    • (2001) Environmetrics , vol.12 , pp. 161-178
    • Damian, D.1    Sampson, P.D.2    Guttorp, P.3
  • 9
    • 0000228535 scopus 로고    scopus 로고
    • A Bayesian CART Algorithm
    • Denison, D., Mallick, B., and Smith, A. (1998), "A Bayesian CART Algorithm," Biometrika, 85, 363-377.
    • (1998) Biometrika , vol.85 , pp. 363-377
    • Denison, D.1    Mallick, B.2    Smith, A.3
  • 10
    • 0042401905 scopus 로고    scopus 로고
    • Spectral Methods for Nonstationary Spatial Processes
    • Fuentes, M. (2002), "Spectral Methods for Nonstationary Spatial Processes," Biometrika, 89, 197-210.
    • (2002) Biometrika , vol.89 , pp. 197-210
    • Fuentes, M.1
  • 11
    • 0001803816 scopus 로고
    • Model Determination Using Sampling-Based Methods
    • eds. S. R. W. Gilks and D. Spiegelhalter, London: Chapman & Hall, pp
    • Gelfand, A. (1995), "Model Determination Using Sampling-Based Methods," in Markov Chain Monte Carlo in Practice, eds. S. R. W. Gilks and D. Spiegelhalter, London: Chapman & Hall, pp. 145-161.
    • (1995) Markov Chain Monte Carlo in Practice , pp. 145-161
    • Gelfand, A.1
  • 13
    • 34547988921 scopus 로고    scopus 로고
    • Bayesian Treed Gaussian Process Models,
    • unpublished doctoral thesis, University of California Santa Cruz, Dept. of Applied Mathematics and Statistics
    • Gramacy, R. B. (2005), "Bayesian Treed Gaussian Process Models," unpublished doctoral thesis, University of California Santa Cruz, Dept. of Applied Mathematics and Statistics.
    • (2005)
    • Gramacy, R.B.1
  • 14
    • 49649097400 scopus 로고    scopus 로고
    • Gaussian Processes and Limiting Linear Models
    • in press, available at
    • Gramacy, R. B., and Lee, H. K. H. (2008), "Gaussian Processes and Limiting Linear Models," Computational Statistics & Data Analysis, in press, available at http://www.sciencedirect.com/science/ article/B6V8V-4SW143G-1/2/5a5f2056b983c22d48a17375cbfa3bb4.
    • (2008) Computational Statistics & Data Analysis
    • Gramacy, R.B.1    Lee, H.K.H.2
  • 15
    • 14344252184 scopus 로고    scopus 로고
    • Parameter Space Exploration With Gaussian Process Trees
    • Omnipress & ACM Digital Library, pp
    • Gramacy, R. B., Lee, H. K. H., and Macready, W. (2004), "Parameter Space Exploration With Gaussian Process Trees," in ICML, Omnipress & ACM Digital Library, pp. 353-360.
    • (2004) ICML , pp. 353-360
    • Gramacy, R.B.1    Lee, H.K.H.2    Macready, W.3
  • 16
    • 0000439277 scopus 로고    scopus 로고
    • Non-Stationary Spatial Modeling
    • eds. J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U.K, Oxford University Press, pp
    • Higdon, D., Swall, J., and Kern, J. (1999), "Non-Stationary Spatial Modeling," in Bayesian Statistics 6, eds. J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith, Oxford, U.K.: Oxford University Press, pp. 761-768.
    • (1999) Bayesian Statistics 6 , pp. 761-768
    • Higdon, D.1    Swall, J.2    Kern, J.3
  • 20
    • 0004256437 scopus 로고
    • 2nd ed, New York: Springer-Verlag
    • Matérn, B. (1986), Spatial Variation (2nd ed.), New York: Springer-Verlag.
    • (1986) Spatial Variation
    • Matérn, B.1
  • 21
    • 31844440681 scopus 로고    scopus 로고
    • Nonstationary Gaussian Processes for Regression and Spatial Modelling,
    • unpublished doctoral thesis, Carnegie Mellon University, Dept. of Statistics
    • Paciorek, C. (2003), "Nonstationary Gaussian Processes for Regression and Spatial Modelling," unpublished doctoral thesis, Carnegie Mellon University, Dept. of Statistics.
    • (2003)
    • Paciorek, C.1
  • 22
    • 1842607847 scopus 로고    scopus 로고
    • R Development Core Team , Vienna, Austria: R Foundation for Statistical Computing
    • R Development Core Team (2004), R: A Language and Environment for Statistical Computing, Vienna, Austria: R Foundation for Statistical Computing.
    • (2004) R: A Language and Environment for Statistical Computing
  • 23
    • 84896062664 scopus 로고    scopus 로고
    • Infinite Mixtures of Gaussian Process Experts
    • eds. T. G. Dietterich, S. Becker, and Z. Ghahramani, Cambridge, MA: MIT Press, pp
    • Rasmussen, C., and Ghahramani, Z. (2002), "Infinite Mixtures of Gaussian Process Experts," in Advances in Neural Information Processing Systems, Vol. 14, eds. T. G. Dietterich, S. Becker, and Z. Ghahramani, Cambridge, MA: MIT Press, pp. 881-888.
    • (2002) Advances in Neural Information Processing Systems , vol.14 , pp. 881-888
    • Rasmussen, C.1    Ghahramani, Z.2
  • 25
    • 85088720818 scopus 로고    scopus 로고
    • Rogers, S. E., Aftosmis, M. J., Pandya, S. A., N. M. Chaderjian, E. T. T., and Ahmad, J. U. (2003), Automated CFD Parameter Studies on Distributed Parallel Computers, AIAA Paper 2003-4229, presented at the 16th AIAA Computational Fluid Dynamics Conference.
    • Rogers, S. E., Aftosmis, M. J., Pandya, S. A., N. M. Chaderjian, E. T. T., and Ahmad, J. U. (2003), "Automated CFD Parameter Studies on Distributed Parallel Computers," AIAA Paper 2003-4229, presented at the 16th AIAA Computational Fluid Dynamics Conference.
  • 27
    • 0000832522 scopus 로고
    • Nonparametric Estimation of Nonstationary Spatial Covariance Structure
    • Sampson, P. D., and Guttorp, P. (1992), "Nonparametric Estimation of Nonstationary Spatial Covariance Structure," Journal of the American Statistical Association, 87, 108-119.
    • (1992) Journal of the American Statistical Association , vol.87 , pp. 108-119
    • Sampson, P.D.1    Guttorp, P.2
  • 29
    • 0042171731 scopus 로고    scopus 로고
    • Bayesian Inference for Nonstationary Spatial Covariance Structure via Spatial Deformations
    • Schmidt, A. M., and O'Hagan, A. (2003), "Bayesian Inference for Nonstationary Spatial Covariance Structure via Spatial Deformations," 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.M.1    O'Hagan, A.2
  • 30
    • 0001995852 scopus 로고
    • Some Aspects of the Spline Smoothing Approach to Non-Parametric Curve Fitting
    • Silverman, B. W. (1985), "Some Aspects of the Spline Smoothing Approach to Non-Parametric Curve Fitting," Journal of the Royal Statistical Society, Ser. B, 47, 1-52.
    • (1985) Journal of the Royal Statistical Society, Ser. B , vol.47 , pp. 1-52
    • Silverman, B.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.