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Modeling and Multivariate Methods - SAS

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Chapter 11<br />

<strong>Modeling</strong> Relationships With Gaussian Processes<br />

Using the Gaussian Process Platform<br />

The Gaussian Process platform is used to model the relationship between a continuous response <strong>and</strong> one or<br />

more continuous predictors. These models are common in areas like computer simulation experiments,<br />

such as the output of finite element codes, <strong>and</strong> they often perfectly interpolate the data. Gaussian processes<br />

can deal with these no-error-term models, in which the same input values always result in the same output<br />

value.<br />

The Gaussian Process platform fits a spatial correlation model to the data, where the correlation of the<br />

response between two observations decreases as the values of the independent variables become more<br />

distant.<br />

The main purpose for using this platform is to obtain a prediction formula that can be used for further<br />

analysis <strong>and</strong> optimization.<br />

Figure 11.1 Example of a Gaussian Process Prediction Surface

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