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Original Articles

Surrogate Modeling of Computer Experiments With Different Mesh Densities

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Pages 372-380 | Received 01 Apr 2012, Published online: 24 Jul 2014

References

  • Agarwal, D. K., and Gelfand, A. E. (2005), “Slice Sampling for Simulation Based Fitting of Spatial Data Models,” Statistics and Computing, 15, 61–69.
  • Banerjee, S., Carlin, B.P., and Gelfand, A.E. (2004), Hierarchical Modeling and Analysis for Spatial Data, London: Chapman and Hall/CRC Press.
  • Brenner, S.C., and Scott, L.R. (2007), The Mathematical Theory of Finite Element Methods (3rd ed.), New York: Springer.
  • Cowles, M., Yan, J., and Smith, B. (2009), “Reparameterized and Marginalized Posterior and Predictive Sampling for Complex Bayesian Geostatistical Models,” Journal of Computational and Graphical Statistics, 18, 262–282.
  • 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.
  • Durrett, R. (2010), Probability: Theory and Examples (4th ed.), New York: Cambridge University Press.
  • Fang, K. T., Li, R., and Sudjianto, A. (2006), Design and Modeling for Computer Experiments, London: Chapman and Hall/CRC Press.
  • Han, G., Santner, T. J., and Rawlinson, J. J. (2009), “Simultaneous Determination of Tuning and Calibration Parameters for Computer Experiments,” Technometrics, 51, 465–474.
  • Kennedy, M. C., and O’Hagan, A. (2000), “Predicting the Output From a Complex Computer Code When Fast Approximation Are Available,” Biometrika, 87, 1–13.
  • Kennedy, M. C., and O’Hagan, A. (2001), “Bayesian Calibration of Computer Models” (with discussion), Journal of the Royal Statistical Society, Series B, 63, 425–464.
  • Kincaid, D. R., and Cheney, E. W. (2002), Numerical Analysis: Mathematics of Scientific Computing (3rd ed.), Providence: American Mathematical Society.
  • Liu, J. S. (2001), Monte Carlo Strategies in Scientific Computing, New York: Springer.
  • Mitchell, T. J. (1974), “An Algorithm for the Construction of ‘D-Optimal’ Experimental Designs,” Technometrics, 16, 203–210.
  • Niyama, E., Uchida, T., Morikawa, M., and Saito, S. (1982), “A Method of Shrinkage Prediction and Its Application to Steel Casting Practice,” International Cast Metals Journal, 7, 52–63.
  • Picheny, V., Ginsbourger, D., Richet, Y., and Caplin, G. (2013), “Optimization of Noisy Computer Experiments With Tunable Precision,” Technometrics, 1, 2–13.
  • Qian, P. Z. G. (2009), “Nested Latin Hypercube Designs,” Biometrika, 96, 957–970.
  • Qian, P. Z. G., Ai, M., and Wu, C. F. J. (2009), “Construction of Nested Space-Filling Designs,” The Annals of Statistics, 37, 3616–3643.
  • Qian, P. Z. G., and Wu, C. F. J. (2008), “Bayesian Hierarchical Modeling for Integrating Low-Accuracy and High-Accuracy Experiments,” Technometrics, 50, 192–204.
  • Quian, P. Z. G., and Wu, C. F. J. (2009), “Sliced Space-Filling Designs,” Biometrika, 96, 945–956.
  • Qian, P. Z. G., Wu, H, and Wu, C. F. J. (2008), “Gaussian Process Models for Computer Experiments With Qualitative and Quantitative Factors,” Technometrics, 50, 383–396.
  • Reese, S., Wilson, A., Hamada, M., Martz, H., and Ryan, K. (2004), “Integrated Analysis of Computer and Physical Experiments,” Technometrics, 46, 153–164.
  • Sacks, J., Welch, W. J., Mitchell, T. J., and Wynn, H. P. (1989), “Design and Analysis of Computer Experiments,” Statistical Science, 4, 409–435.
  • Santner, T. J., Williams, B. J., and Notz, W. I. (2003), The Design and Analysis of Computer Experiments, New York: Springer Verlag.
  • Shewry, M. C., and Wynn, H. P. (1987), “Maximum Entropy Sampling,” Journal of Applied Statistics, 14, 165–170.
  • Stefanescu, D. M. (2008), Science and Engineering of Casting Solidification (2nd ed.), New York: Springer.
  • Tuo, R., Qian, P. Z. G, and Wu, C. F. J. (2013), “A Brownian Motion Model for Stochastic Simulation With Tunable Precision,” Comments on “Quantile-Based Optimization of Noisy Computer Experiments With Tunable Precision,” by Picheny et al., Technometrics, 1, 29–31.
  • Zhou, Q., Qian, P. Z. G., and Zhou, S. (2011), “A Simple Approach to Emulation for Computer Models With Qualitative and Quantitative Factors,” Technometrics, 53, 266–273.

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