Example of a Gaussian Process Model

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Predictive and Specialized Modeling • Gaussian Process • Additional Examples of the Gaussian Process Platform • Example of a Gaussian Process Model

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Example of a Gaussian Process Model

This example uses data that demonstrates the flow of water through a Borehole that is drilled from the ground surface through two aquifers. Given a specified engineering model the Gaussian process lets us understand the impact of factors included in the model on the response, Y.

1.

Select Help > Sample Data Library and open Design Experiment/Borehole Latin Hypercube.jmp.

2.

Select Analyze > Specialized Modeling > Gaussian Process.

3.

Select log10 Rw through Kw and click X.

4.

Select Y and click Y.

5.

In JMP Pro, to run the analysis faster, leave the Fast GASP checked.

6.

Figure 15.5 Borehole Latin Hypercube Report

The data on the actual by predicted plot fall along the Y = X line, indicating that the Gaussian process prediction model is a good approximation of the true function. In the Model Report, you see that the first factor, log10 Rw, has the highest total sensitivity. The estimated total sensitivity for log10 Rw explains more than 90% of the variation in the response. Factors with small theta values have little (or no) impact on the prediction formula. Use the profiler to visualize the sensitivities.

7.

Click the Gaussian Process Model of Y red triangle and select Profiler.

Figure 15.6 Gaussian Process Model Profiler

The desirability function is set to maximize the response Y because Y has goal set to Maximize in the Response Limits column property.

Note: Your estimates can differ from those shown in Figure 15.5, which were found using the Fast GASP algorithm.

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Help created on 3/19/2020