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  "Description": "Train a Gaussian stochastic process model of an unknown\nfunction, possibly observed with error, via maximum likelihood\nor maximum a posteriori (MAP) estimation, run model\ndiagnostics, and make predictions, following Sacks, J., Welch,\nW.J., Mitchell, T.J., and Wynn, H.P. (1989) \"Design and\nAnalysis of Computer Experiments\", Statistical Science,\n<doi:10.1214/ss/1177012413>.  Perform sensitivity analysis and\nvisualize low-order effects, following Schonlau, M. and Welch,\nW.J. (2006), \"Screening the Input Variables to a Computer Model\nVia Analysis of Variance and Visualization\",\n<doi:10.1007/0-387-28014-6_14>.",
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    "GaSPModel",
    "PlotAll",
    "PlotJointEffects",
    "PlotMainEffects",
    "PlotPredictions",
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    "PlotResiduals",
    "PlotStdResiduals",
    "Predict",
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    "Visualize"
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      "page": "borehole",
      "title": "Data for the borehole function",
      "topics": [
        "borehole"
      ]
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    {
      "page": "CrossValidate",
      "title": "Cross-validated predictions for a 'GaSPModel' object.",
      "topics": [
        "CrossValidate"
      ]
    },
    {
      "page": "DescribeX",
      "title": "Describe the input variables.",
      "topics": [
        "DescribeX"
      ]
    },
    {
      "page": "Fit",
      "title": "Fit a GaSP model.",
      "topics": [
        "Fit"
      ]
    },
    {
      "page": "GaSPModel",
      "title": "Create a 'GaSPModel' object.",
      "topics": [
        "GaSPModel"
      ]
    },
    {
      "page": "PlotAll",
      "title": "Execute 'PlotPredictions', 'PlotResiduals', 'PlotStdResiduals', 'PlotMainEffects', and 'PlotJointEffects'.",
      "topics": [
        "PlotAll"
      ]
    },
    {
      "page": "PlotJointEffects",
      "title": "Plot the estimated joint effects.",
      "topics": [
        "PlotJointEffects"
      ]
    },
    {
      "page": "PlotMainEffects",
      "title": "Plot the estimated main effects.",
      "topics": [
        "PlotMainEffects"
      ]
    },
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      "page": "PlotPredictions",
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      "topics": [
        "PlotPredictions"
      ]
    },
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      "title": "Normal quantile-quantile (Q-Q) plot.",
      "topics": [
        "PlotQQ"
      ]
    },
    {
      "page": "PlotResiduals",
      "title": "Plot residuals versus each input variable.",
      "topics": [
        "PlotResiduals"
      ]
    },
    {
      "page": "PlotStdResiduals",
      "title": "Plot standardized residuals versus predictions.",
      "topics": [
        "PlotStdResiduals"
      ]
    },
    {
      "page": "Predict",
      "title": "Predict from a 'GaSPModel' object.",
      "topics": [
        "Predict"
      ]
    },
    {
      "page": "RMSE",
      "title": "Calculate the root mean squared error (RMSE) of prediction",
      "topics": [
        "RMSE"
      ]
    },
    {
      "page": "Visualize",
      "title": "Visualize a 'GaSPModel' object.",
      "topics": [
        "Visualize"
      ]
    }
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      "title": "GaSP: Train and Apply a Gaussian Stochastic Process Model",
      "author": "Yilin Yang and William J. Welch",
      "engine": "knitr::rmarkdown",
      "headings": [
        "1. Introduction",
        "2. Data Setup",
        "3. GaSP Model Formulation",
        "3.1 GaSP model components",
        "3.2 Mean (regression) function",
        "3.3 Stochastic process component",
        "3.4 Random error component",
        "4. GaSPModel object",
        "5. Fit",
        "5.1 Maximum likelihood estimation",
        "5.2 Maximum a posteriori (MAP) estimation",
        "5.3 Further details of Fit",
        "6 Predict",
        "7 CrossValidate",
        "8 Plots and diagnostics for Predict and CrossValidate",
        "8.1 Plots for Predict",
        "8.2 Plots for CrossValidate",
        "8.3 Root mean squared error (RMSE)",
        "9. Visualize",
        "9.1 DecribeX",
        "9.2 Visualize",
        "9.3 Plots for Visualize",
        "10. PlotAll",
        "11. Future"
      ],
      "created": "2022-01-18 06:42:53",
      "modified": "2023-05-18 10:12:36",
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