@Article{anagnos:gramacy:2013,
  author =       {Anagnostopoulos, C. and Gramacy, R. B.},
  title =        {Information-Theoretic Data Discarding for Dynamic Trees on Data Streams},
  journal =      {Entropy},
  year =         2013,
  volume =       15,
  number =       12,
  pages =        {5510--5535},
  note = {arXiv:1201.5568}}


@Article{Ankenman2010,
  Title                    = {Stochastic Kriging for Simulation Metamodeling},
  Author                   = {Ankenman, Bruce and Nelson, Barry L and Staum, Jeremy},
  Journal                  = {Operations Research},
  Year                     = {2010},
  Number                   = {2},
  Pages                    = {371--382},
  Volume                   = {58},
  Publisher                = {INFORMS}
}

@article{Azzimonti2016,
author = {Dario Azzimonti and David Ginsbourger and Clément Chevalier and Julien Bect and Yann Richet},
title = {Adaptive Design of Experiments for Conservative Estimation of Excursion Sets},
journal = {Technometrics},
volume = {0},
number = {0},
pages = {1-14},
year  = {2019},
publisher = {Taylor & Francis},
doi = {10.1080/00401706.2019.1693427},
URL = { 
        https://doi.org/10.1080/00401706.2019.1693427
},
eprint = { 
        https://doi.org/10.1080/00401706.2019.1693427
}
}

@book{banerjee2004hierarchical,
  title={Hierarchical Modeling and Analysis for Spatial Data},
  author={Banerjee, Sudipto and Carlin, Bradley P and Gelfand, Alan E},
  year={2004},
  publisher={Chapman and Hall/CRC}
}


@Article{Banerjee2008,
  Title                    = {Gaussian Predictive Process Models for Large Spatial Data Sets},
  Author                   = {Banerjee, Sudipto and Gelfand, Alan E and Finley, Andrew O and Sang, Huiyan},
  Journal                  = {Journal of the Royal Statistical Society B},
  Year                     = {2008},
  Number                   = {4},
  Pages                    = {825--848},
  Volume                   = {70},
  Publisher                = {Wiley Online Library}
}


@article{Bichon2008,
  title={Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions},
  author={Bichon, Barron J and Eldred, Michael S and Swiler, Laura Painton and Mahadevan, Sandaran and McFarland, John M},
  journal={AIAA Journal},
  volume={46},
  number={10},
  pages={2459--2468},
  year={2008}
}


@InProceedings{Bogunovic2016,
  Title                    = {Truncated Variance Reduction: A Unified Approach to Bayesian Optimization and Level-Set Estimation},
  Author                   = {Bogunovic, Ilija and Scarlett, Jonathan and Krause, Andreas and Cevher, Volkan},
  Booktitle                = {Advances in Neural Information Processing Systems},
  Year                     = {2016},
  Pages                    = {1507--1515}
}

@TechReport{Boukouvalas2009,
  Title                    = {Learning Heteroscedastic {G}aussian Processes for Complex Datasets},
  Author                   = {Boukouvalas, Alexis and Cornford, Dan},
  Institution              = {Neural Computing Research Group, Aston University},
  Year                     = {2009}
}


@InCollection{Burnaev2015,
  Title                    = {Adaptive Design of Experiments Based on {G}aussian Processes},
  Author                   = {Burnaev, Evgeny and Panov, Maxim},
  Booktitle                = {Statistical Learning and Data Sciences},
  Publisher                = {Springer-Verlag},
  Year                     = {2015},
  Pages                    = {116--125}
}


@Manual{Carnell2018,
  title = {\pkg{lhs}: Latin Hypercube Samples},
  author = {Rob Carnell},
  year = {2020},
  note = {\proglang{R} package version 1.0.2},
  url = {https://CRAN.R-project.org/package=lhs},
}


@InCollection{Chevalier2013,
  Title                    = {Estimating and Quantifying Uncertainties on Level Sets Using the Vorob'ev Expectation and Deviation with Gaussian Process Models},
  Author                   = {Chevalier, Cl{\'e}ment and Ginsbourger, David and Bect, Julien and Molchanov, Ilya},
  Booktitle                = {mODa 10 - Advances in Model-Oriented Design and Analysis},
  Publisher                = {Springer-Verlag},
  Year                     = {2013},
  Editor                   = {Ucinski, Dariusz and Atkinson, Anthony C. and Patan, Maciej},
  Pages                    = {35--43},
  Series                   = {Contributions to Statistics},
  Doi                      = {10.1007/978-3-319-00218-7_5},
  ISBN                     = {978-3-319-00217-0}
}


 @InCollection{Chevalier2014,
  Title                    = {Corrected Kriging Update Formulae for Batch-Sequential Data Assimilation},
  Author                   = {Chevalier, Cl{\'e}ment and Ginsbourger, David and Emery, Xavier},
  Booktitle                = {Mathematics of Planet Earth},
  Publisher                = {Springer-Verlag},
  Year                     = {2014},
  Pages                    = {119--122}
}


@Article{Chevalier2014a,
  Title                    = {\pkg{KrigInv}: An Efficient and User-Friendly Implementation of Batch-Sequential Inversion Strategies Based on Kriging},
  Author                   = {Chevalier, Cl{\'e}ment and Picheny, Victor and Ginsbourger, David},
  Journal                  = {Computational Statistics \& Data Analysis},
  Year                     = {2014},
  Pages                    = {1021--1034},
  Volume                   = {71},
  Publisher                = {Elsevier}
}


@Manual{Chevalier2018,
  title = {\pkg{KrigInv}: Kriging-Based Inversion for Deterministic and Noisy Computer Experiments},
  author = {Clement Chevalier and Victor Picheny and David Ginsbourger and Dario Azzimonti},
  year = {2018},
  note = {\proglang{R} package version 1.4.1},
  url = {https://CRAN.R-project.org/package=KrigInv},
}


@article{Chung2018,
  title={Parameter and Uncertainty Estimation for Dynamical Systems Using Surrogate Stochastic Processes},
  author={Chung, Matthias and Binois, Mickaël and Gramacy, Robert B and Bardsley, Johnathan M and Moquin, David J and Smith, Amanda P and Smith, Amber M},
  journal={SIAM Journal on Scientific Computing},
  volume={41},
  number={4},
  pages={2212--2238},
  year={2019},
  publisher={SIAM}
}

@Article{Dubrule1983,
  Title                    = {Cross Validation of Kriging in a Unique Neighborhood},
  Author                   = {Dubrule, Olivier},
  Journal                  = {Mathematical Geology},
  Year                     = {1983},
  Number                   = {6},
  Pages                    = {687--699},
  Volume                   = {15},
  Publisher                = {Springer}
}

@Article{mlegp,
  author = {Garrett M Dancik and Karin S Dorman},
  title = {\pkg{mlegp}: Statistical Analysis for Computer Models of Biological Systems using \proglang{R}},
  journal = {Bioinformatics},
  year = {2008},
  volume = {24},
  number = {17}
}


@Manual{kergp,
  title = {\pkg{kergp}: Gaussian Process Laboratory},
  author = {Yves Deville and David Ginsbourger and Olivier Roustant},
  year = {2020},
  note = {\proglang{R} package version 0.5.1},
  url = {https://CRAN.R-project.org/package=kergp},
}

@Article{Eddelbuettel2011,
  title = {\pkg{Rcpp}: Seamless \proglang{R} and \proglang{C++} Integration},
  author = {Dirk Eddelbuettel and Romain Fran\c{c}ois},
  journal = {Journal of Statistical Software},
  year = {2011},
  volume = {40},
  number = {8},
  pages = {1--18},
  url = {https://www.jstatsoft.org/v40/i08/},
  doi = {10.18637/jss.v040.i08},
}

@Book{Eddelbuettel2013,
  title = {Seamless \proglang{R} and \proglang{C++} Integration with \pkg{Rcpp}},
  author = {Dirk Eddelbuettel},
  publisher = {Springer-Verlag},
  address = {New York},
  year = {2013},
  note = {ISBN 978-1-4614-6867-7},
  doi = {10.1007/978-1-4614-6868-4},
}

@Article{Eddelbuettel2017,
author = {Dirk Eddelbuettel and James Joseph Balamuta},
title = {Extending \proglang{R} with \proglang{C++}: A Brief Introduction to \pkg{Rcpp}},
journal = {The American Statistician},
volume = {72},
number = {1},
pages = {28-36},
year  = {2018},
publisher = {Taylor & Francis},
doi = {10.1080/00031305.2017.1375990},
}


@Article{Erickson2017,
  Title                    = {Comparison of Gaussian Process Modeling Software},
  Author                   = {Collin B. Erickson and Bruce E. Ankenman and Susan M. Sanchez},
  Journal                  = {European Journal of Operational Research},
  volume={266},
  number={1},
  pages={179--192},
  year={2018},
  publisher={Elsevier},
  doi                      = {10.1016/j.ejor.2017.10.002},
  ISSN                     = {0377-2217}
}

@article{franck:gramacy:2018,
  title={Assessing {B}ayes Factor Surfaces Using Interactive Visualization and Computer Surrogate Modeling},
  author={Franck, Christopher T and Gramacy, Robert B},
  note={see arXiv:1809.05580},
  journal={The American Statistician},
  pages={1--11},
  year={2019},
  publisher={Taylor \& Francis}
}


@article{Frazier2018,
  title={A Tutorial on Bayesian Optimization},
  author={Frazier, Peter I},
  journal={arXiv preprint arXiv:1807.02811},
  year={2018}
}


@article{Gauthier2014,
  title={Spectral Approximation of the {IMSE} Criterion for Optimal Designs in Kernel-Based Interpolation Models},
  author={Gauthier, Bertrand and Pronzato, Luc},
  journal={SIAM/ASA Journal on Uncertainty Quantification},
  volume={2},
  number={1},
  pages={805--825},
  year={2014},
  publisher={SIAM}
}


@InCollection{Ginsbourger2010,
  Title                    = {Towards {G}aussian Process-Based Optimization with Finite Time Horizon},
  Author                   = {Ginsbourger, David and Le Riche, Rodolphe},
  Booktitle                = {mODa 9--Advances in Model-Oriented Design and Analysis},
  Publisher                = {Springer-Verlag},
  Year                     = {2010},
  Pages                    = {89--96}
}


@InCollection{Ginsbourger2010a,
  Title                    = {Kriging Is Well-Suited to Parallelize Optimization},
  Author                   = {Ginsbourger, David and Le Riche, Rodolphe and Carraro, Laurent},
  Booktitle                = {Computational Intelligence in Expensive Optimization Problems},
  Publisher                = {Springer-Verlag},
  Year                     = {2010},
  Pages                    = {131--162}
}


@article{gneiting:raftery:2007,
  author = {Tilmann Gneiting and Adrian E Raftery},
  title = {Strictly Proper Scoring Rules, Prediction, and Estimation},
  journal = {Journal of the American Statistical Association},
  volume = {102},
  number = {477},
  pages = {359--378},
  year = {2007},
  doi = {10.1198/016214506000001437}
}


@INPROCEEDINGS{goldberg:williams:bishop:1998,
    author = {Paul W. Goldberg and Christopher K.I. Williams and Christopher M. Bishop},
    title = {Regression with Input-Dependent Noise: A {G}aussian Process Treatment},
    booktitle = {Advances in Neural Information Processing Systems},
    year = {1998},
    editors = {Michael I. Jordan and Michael J. Kearns and Sara A. Solla},
    volume = {10},
    pages = {493--499},
    address = {Cambridge, MA},
    publisher = {MIT press}
}


@inproceedings{Gonzalez2016,
  title={GLASSES: Relieving the Myopia of Bayesian Optimisation},
  author={Gonzalez, Javier and Osborne, Michael and Lawrence, Neil},
  booktitle={Proceedings of the 19th International Conference on Artificial Intelligence and Statistics},
  pages={790--799},
  year={2016}
}

@article{Gorodetsky2016,
  title={Mercer Kernels and Integrated Variance Experimental Design: Connections between {G}aussian Process Regression and Polynomial Approximation},
  author={Gorodetsky, Alex and Marzouk, Youssef},
  journal={SIAM/ASA Journal on Uncertainty Quantification},
  volume={4},
  number={1},
  pages={796--828},
  year={2016},
  publisher={SIAM}
}

@article{gra:lee:2012,
  Author  = {R. B. Gramacy and H. K. H. Lee},
  Title   = {Cases for the Nugget in Modeling Computer Experiments},
  Journal = {Statistics and Computing},
  volume = 22,
  number = 3,
  pages = {713--722},
  Year    = 2012
}


@Article{gramacy:polson:2011,
  author =       {R. B. Gramacy and N. G. Polson},
  title =        {Particle Learning of {G}aussian Process Models for Sequential Design and Optimization},
  journal =      {Journal of Computational and Graphical Statistics},
  year =         2011,
  volume =       20,
  number =       1,
  pages =        {102--118},
  doi = {10.1198/jcgs.2010.09171}}


@Article{Gramacy2007,
  title = {\pkg{tgp}: An \proglang{R} Package for Bayesian Nonstationary, Semiparametric Nonlinear Regression and Design by Treed Gaussian Process Models},
  author = {Robert B. Gramacy},
  journal = {Journal of Statistical Software},
  year = {2007},
  volume = {19},
  number = {9},
  pages = {1--46},
  url = {https://www.jstatsoft.org/v19/i09/},
}


@Article{Gramacy2016,
  title = {\pkg{laGP}: Large-Scale Spatial Modeling via Local Approximate Gaussian Processes in \proglang{R}},
  author = {Robert B. Gramacy},
  journal = {Journal of Statistical Software},
  year = {2016},
  volume = {72},
  number = {1},
  pages = {1--46},
  doi = {10.18637/jss.v072.i01},
}


@Manual{monomvn,
  title = {\pkg{monomvn}: Estimation for Multivariate Normal and {S}tudent-$t$ Data with Monotone Missingness},
  author = {Robert B. Gramacy},
  year = {2019},
  note = {\proglang{R} package version 1.9-13},
  url = {https://CRAN.R-project.org/package=monomvn},
}


@Article{gramacy:apley:2015,
  author = {{Gramacy}, R.~B. and {Apley}, D.~W.},
  title = {Local {G}aussian Process Approximation for Large Computer Experiments},
  note = {see ar{X}iv:1303.0383},
  volume = {24},
  number = {2},
  pages = {561--578},
  journal = {Journal of Computational and Graphical Statistics},
  year = 2015,
}


@Article{gra:lee:2009,
  Author = {Robert B. Gramacy and Herbert K H. Lee},
  Journal = {Technometrics},
  Month = {May},
  Number = 2,
  Title = {Adaptive Design and Analysis of Supercomputer Experiment},
  Year = 2009,
  Volume = {51},
  Pages = {130--145}
}


@InCollection{gramacy:lee:2011,
  author =       {R. B. Gramacy and H. K. H. Lee},
  title =        {Optimization under Unknown Constraints},
  booktitle =    {Bayesian Statistics 9},
  publisher = {Oxford University Press},
  year =         2011,
  editor =       {J. Bernardo and S. Bayarri and J. O. Berger and
                  A. P. Dawid and D. Heckerman and A. F. M. Smith and
                  M. West},
  pages =  {229--256}
}


@Article{Gramacy2010,
  title = {Categorical Inputs, Sensitivity Analysis, Optimization and Importance Tempering with \pkg{tgp} Version 2, an \proglang{R} Package for Treed Gaussian Process Models},
  author = {Robert B. Gramacy and Matthew Taddy},
  journal = {Journal of Statistical Software},
  year = {2010},
  volume = {33},
  number = {6},
  pages = {1--48},
  url = {https://www.jstatsoft.org/v33/i06/},
}

@article{gramacy:pantaleo:2010,
author = "Gramacy, Robert B. and Pantaleo, Ester",
doi = "10.1214/10-BA602",
fjournal = "Bayesian Analysis",
journal = "Bayesian Anal.",
month = "06",
number = "2",
pages = "237--262",
publisher = "International Society for Bayesian Analysis",
title = "Shrinkage Regression for Multivariate Inference with Missing Data, and an Application to Portfolio Balancing",
volume = "5",
year = "2010"
}


@ARTICLE{hong:nelson:2006,
  title = {Discrete Optimization via Simulation Using {COMPASS}},
  author = {Hong, L.J. and Nelson, B.L.},
  journal = {Operations Research},
  Volume = {54},
  Number = {1},
  pages = {115--129},
  Year = {2006},
}


@article{hetGP1,
  author    = {Mickaël Binois and Robert B. Gramacy and Mike Ludkovski},
  title     = {Practical Heteroscedastic Gaussian Process Modeling for Large Simulation Experiments},
  journal   = {Journal of Computational and Graphical Statistics},
  year      = {2018},
  volume    = {27},
  number    = {4},
  pages     = {808--821},
  doi       = {10.1080/10618600.2018.1458625},
  publisher = {Taylor \& Francis}
}


@article{hu2015sequential,
  title={Sequential Design for Ranking Response Surfaces},
  author={Hu, Ruimeng and Ludkovski, Mike},
  journal={SIAM/ASA Journal on Uncertainty Quantification},
  volume={5},
  number={1},
  pages={212--239},
  year={2017},
  publisher={SIAM}
}

@article{hetGP2,
author = {Mickaël Binois and Jiangeng Huang and Robert B. Gramacy and Mike Ludkovski},
title = {Replication or Exploration? Sequential Design for Stochastic Simulation Experiments},
journal = {Technometrics},
volume = {61},
number = {1},
pages = {7-23},
year  = {2019},
publisher = {Taylor & Francis},
doi = {10.1080/00401706.2018.1469433}
}


@Article{Huan2016,
  Title                    = {Sequential {B}ayesian Optimal Experimental Design via Approximate Dynamic Programming},
  Author                   = {Huan, Xun and Marzouk, Youssef M},
  Journal                  = {arXiv preprint arXiv:1604.08320},
  Year                     = {2016}
}

 @Manual{Ihaka2019,
    title = {\pkg{colorspace}: A Toolbox for Manipulating and Assessing Colors and Palettes},
    author = {Ross Ihaka and Paul Murrell and Kurt Hornik and Jason C. Fisher and Reto Stauffer and Claus O. Wilke and Claire D. McWhite and Achim Zeileis},
    year = {2019},
    note = {\proglang{R} package version 1.4-0},
    url = {https://CRAN.R-project.org/package=colorspace},
  }

@Article{jacq:polson:rossi:2004,
  author =   {E.~Jacquier and N.G.~Polson and Peter E. Rossi},
  title =    {Bayesian Analysis of Stochastic Volatility Models with Fat-Tails and Correlated Errors},
  journal =    {J.~of Econometrics},
  year =   2004,
  volume =   122,
  pages =    {185--212}
}


@Article{Jones1998,
  Title                    = {Efficient Global Optimization of Expensive Black-Box Functions},
  Author                   = {Jones, D.R. and Schonlau, M. and Welch, W.J.},
  Journal                  = {Journal of Global Optimization},
  Year                     = {1998},
  Number                   = {4},
  Pages                    = {455--492},
  Volume                   = {13},
  Publisher                = {Springer-Verlag}
}

@INPROCEEDINGS{kersting:etal:2007,
    author = {Kristian Kersting and Christian Plagemann and Patrick Pfaff and Wolfram Burgard},
    title = {Most Likely Heteroscedastic {G}aussian Process Regression},
    booktitle = {Proceedings of the International Conference on Machine Learning},
    year = {2007},
    editors = {Zoubin Ghahramani},
    pages = {393--400},
    address = {New York, NY},
    publisher = {ACM}
}

@INPROCEEDINGS{lazaro-gredilla:tsitas:2011,
    author = {Miguel Lazaro-Gredilla and Michalis Titsias},
    title = {Variational Heteroscedastic {G}aussian Process Regression},
    booktitle = {Proceedings of the International Conference on Machine Learning},
    year = {2011},
    editors = {Lise Getoor and Tobias Scheffer},
    pages = {841--848},
    address = {New York, NY},
    publisher = {ACM}
}


@InProceedings{Lam2016,
  Title                    = {Bayesian Optimization with a Finite Budget: An Approximate Dynamic Programming Approach},
  Author                   = {Lam, Remi and Willcox, Karen and Wolpert, David H},
  Booktitle                = {Advances In Neural Information Processing Systems},
  Year                     = {2016},
  Pages                    = {883--891}
}

@Article{Leatherman2017,
  Title                    = {Computer Experiment Designs for Accurate Prediction},
  Author                   = {Leatherman, Erin R and Santner, Thomas J and Dean, Angela M},
  Journal                  = {Statistics and Computing},
  Year                     = {2017},
  Pages                    = {1--13},
  Publisher                = {Springer-Verlag}
}


@article{Lyu2018,
  title={Evaluating Gaussian Process Metamodels and Sequential Designs for Noisy Level Set Estimation},
  author={Lyu, Xiong and Binois, Mickael and Ludkovski, Michael},
  journal={arXiv preprint arXiv:1807.06712},
  year={2018}
}


@Article{GPfit,
    title = {\pkg{GPfit}: An \proglang{R} Package for Fitting a Gaussian Process Model to Deterministic Simulator Outputs},
    author = {Blake MacDonald and Pritam Ranjan and Hugh Chipman},
    journal = {Journal of Statistical Software},
    year = {2015},
    volume = {64},
    number = {12},
    pages = {1--23},
    url = {https://www.jstatsoft.org/v64/i12/},
}


@Article{Mockus1978,
  Title                    = {The Application of {B}ayesian Methods for Seeking the Extremum},
  Author                   = {Mockus, Jonas and Tiesis, Vytautas and Zilinskas, Antanas},
  Journal                  = {Towards Global Optimization},
  Year                     = {1978},
  Number                   = {117--129},
  Pages                    = {2},
  Volume                   = {2},
  Publisher                = {Amsterdam: Elsevier}
}


@ARTICLE{ng:yin:2012,
    author = {Szu Hui Ng and Jun Yin},
    title = {Bayesian Kriging Analysis and Design for Stochastic Systems},
    journal = {ACM Transations on Modeling and Computer Simulation (TOMACS)},
    volume = {22},
    number = {3},
    pages = {article no.~17},
    year = {2012}
}


@ARTICLE{opsomer:etal:1999,
    author = {Opsomer, J.D. and Ruppert, D. and Wand, W.P. and Holst, U. and Hossler, O.},
    title = {Kriging with Nonparameteric Variance Function Estimation},
    journal = {Biometrics},
    volume = {55},
    pages = {704--710},
    year = {1999}
}


@article{Picheny2010,
  title={Adaptive Designs of Experiments for Accurate Approximation of a Target Region},
  author={Picheny, Victor and Ginsbourger, David and Roustant, Olivier and Haftka, Raphael T and Kim, Nam-Ho},
  journal={Journal of Mechanical Design},
  volume={132},
  number={7},
  pages={071008},
  year={2010},
  publisher={American Society of Mechanical Engineers}
}


@Article{Picheny2012,
  Title                    = {A Benchmark of Kriging-Based Infill Criteria for Noisy Optimization},
  Author                   = {Picheny, Victor and Wagner, Tobias and Ginsbourger, David},
  Journal                  = {Structural and Multidisciplinary Optimization},
  Year                     = {2012},
  Pages                    = {1--20},
  Publisher                = {Springer-Verlag}
}


@Article{Plumlee2014,
  Title                    = {Building Accurate Emulators for Stochastic Simulations via Quantile Kriging},
  Author                   = {Plumlee, Matthew and Tuo, Rui},
  Journal                  = {Technometrics},
  Year                     = {2014},
  Number                   = {4},
  Pages                    = {466--473},
  Volume                   = {56},
  Publisher                = {Taylor \& Francis}
}


@Article{Pratola2017,
  Title                    = {Design and Analysis of Experiments on Nonconvex Regions},
  Author                   = {Pratola, Matthew T and Harari, Ofir and Bingham, Derek and Flowers, Gwenn E},
  Journal                  = {Technometrics},
  Year                     = {2017},
  Pages                    = {1--12},
  Publisher                = {Taylor \& Francis}
}


@article{Pratola2017b,
  title={Heteroscedastic BART Using Multiplicative Regression Trees},
  author={Pratola, Matthew and Chipman, Hugh and George, Edward and McCulloch, Robert},
  journal={arXiv preprint arXiv:1709.07542},
  year={2017}
}

@Manual{RCore2019,
  title = {\proglang{R}: A Language and Environment for Statistical Computing},
  author = {{\proglang{R} Core Team}},
  organization = {\proglang{R} Foundation for Statistical Computing},
  address = {Vienna, Austria},
  year = {2019},
  url = {https://www.R-project.org/},
}

@article{Ranjan2008,
  title={Sequential Experiment Design for Contour Estimation from Complex Computer Codes},
  author={Ranjan, Pritam and Bingham, Derek and Michailidis, George},
  journal={Technometrics},
  volume={50},
  number={4},
  pages={527--541},
  year={2008},
  publisher={Taylor \& Francis}
}


@Book{Rasmussen2006,
  Title                    = {{Gaussian Processes for Machine Learning}},
  Author                   = {Rasmussen, Carl E. and Williams, Christopher},
  Publisher                = {MIT Press},
  Year                     = {2006},
  Booktitle                = {Gaussian Processes for Machine Learning},
}

@Article{Roustant2012,
    title = {\pkg{DiceKriging}, \pkg{DiceOptim}: Two \proglang{R} Packages for the Analysis of Computer Experiments by Kriging-Based Metamodeling and Optimization},
    author = {Olivier Roustant and David Ginsbourger and Yves Deville},
    journal = {Journal of Statistical Software},
    year = {2012},
    volume = {51},
    number = {1},
    pages = {1--55},
    url = {https://www.jstatsoft.org/v51/i01/},
}


@Article{Sacks1989,
  Title                    = {Design and Analysis of Computer Experiments},
  Author                   = {Sacks, Jerome and Welch, William J and Mitchell, Toby J and Wynn, Henry P},
  Journal                  = {Statistical Science},
  Year                     = {1989},
  Number                   = {4},
  Pages                    = {409--423},
  Volume                   = {4},
  Publisher                = {Institute of Mathematical Statistics}
}


@INPROCEEDINGS{seo00,
    Author         = {S. Seo and M. Wallat and T. Graepel and K. Obermayer},
    Booktitle      = {Proceedings of the International Joint Conference on Neural Networks},
    Month          = {July},
    Pages          = {241--246},
    Publisher      = {IEEE},
    Title          = {Gaussian Process Regression: Active Data Selection and Test Point Rejection},
    Volume         = {III},
    Year           = {2000}
}

@InProceedings{Shah2014,
  title = 	 {Student-$t$ Processes as Alternatives to Gaussian Processes},
  author = 	 {Amar Shah and Andrew Wilson and Zoubin Ghahramani},
  booktitle = 	 {Proceedings of the Seventeenth International Conference on Artificial Intelligence and Statistics},
  pages = 	 {877--885},
  year = 	 {2014},
  editor = 	 {Samuel Kaski and Jukka Corander},
  volume = 	 {33},
  series = 	 {Proceedings of Machine Learning Research},
  address = 	 {Reykjavik, Iceland},
  month = 	 {22--25 Apr},
  publisher = 	 {PMLR}
 }

 @Article{Shahriari2016,
  Title                    = {Taking the Human out of the Loop: A Review of {B}ayesian Optimization},
  Author                   = {Shahriari, Bobak and Swersky, Kevin and Wang, Ziyu and Adams, Ryan P and de Freitas, Nando},
  Journal                  = {Proceedings of the IEEE},
  Year                     = {2016},
  Number                   = {1},
  Pages                    = {148--175},
  Volume                   = {104},
  Publisher                = {IEEE}
}


@InProceedings{snelson:ghahramani:2005,
  Title                    = {Sparse {G}aussian Processes Using Pseudo-Inputs},
  Author                   = {Snelson, Edward and Ghahramani, Zoubin},
  Booktitle                = {Advances in Neural Information Processing Systems},
  Year                     = {2005},
  Pages                    = {1257--1264}
}


@inproceedings{snoek:etal:2012,
  title = {Bayesian Optimization of Machine Learning Algorithms},
  author = {J. Snoek and H. Larochelle and R. P. Adams},
  booktitle      = {Neural Information Processing Systems (NIPS)},
  Year           = {2012}
}


@inproceedings{Vazquez2008,
  title={Global Optimization Based on Noisy Evaluations: An Empirical Study of Two Statistical Approaches},
  author={Vazquez, Emmanuel and Villemonteix, Julien and Sidorkiewicz, Maryan and Walter, Eric},
  booktitle={Journal of Physics: Conference Series},
  volume={135},
  number={1},
  pages={012100},
  year={2008},
  organization={IOP Publishing}
}


@Book{Venables2002,
  title = {Modern Applied Statistics with \proglang{S}},
  author = {W. N. Venables and B. D. Ripley},
  publisher = {Springer-Verlag},
  edition = {Fourth},
  address = {New York},
  year = {2002},
  note = {ISBN 0-387-95457-0}
}


@Article{Wang2017,
  Title                    = {Extended T-Process Regression Models},
  Author                   = {Wang, Zhanfeng and Shi, Jian Qing and Lee, Youngjo},
  Journal                  = {Journal of Statistical Planning and Inference},
  Year                     = {2017},
  Pages                    = {38--60},
  Volume                   = {189},
  Publisher                = {Elsevier}
}


@misc{xie:frazier:chick:2012,
  author = {J. Xie and P.I. Frazier and S. Chick},
  title = {Assemble to Order Simulator},
  year = 2012,
}


@inproceedings{Xie2017,
  title={A Heteroscedastic T-Process Simulation Metamodeling Approach and its Application in Inventory Control and Optimization},
  author={Xie, Guangrui and Chen, Xi},
  booktitle={Simulation Conference (WSC), 2017 Winter},
  pages={3242--3253},
  year={2017},
  organization={IEEE}
}

  @Article{Zeileis2009,
    title = {Escaping {RGB}land: Selecting Colors for Statistical Graphics},
    author = {Achim Zeileis and Kurt Hornik and Paul Murrell},
    journal = {Computational Statistics \& Data Analysis},
    year = {2009},
    volume = {53},
    number = {9},
    pages = {3259--3270},
    doi = {10.1016/j.csda.2008.11.033},
  }
  
@article{zhang2018distance,
  title={Distance-Distributed Design for {G}aussian Process Surrogates},
  author={Zhang, B and Cole, DA and Gramacy, R. B.},
  journal={Technometrics},
  year      = {2021},
  number    = {1},
  pages     = {40--52},
  volume    = {63},
}
