Publication date: 07/08/2024

Gaussian Process

Fit Data Using Smoothing Models

Use the Gaussian Process platform to model the relationship between a continuous response and one or more predictors. These types of models, also known as kriging, are common in computer simulation experiments, such as the output of finite element codes, and they often perfectly interpolate the data. Gaussian processes can deal with these no-error-term models, in which the same input values always results in the same output value.

The Gaussian Process platform fits a spatial correlation model to the data. The correlation of the response between two observations decreases as the values of the independent variables become more distant.

One purpose for using this platform is to obtain a prediction formula that can be used for further analysis and optimization.

Figure 17.1 Gaussian Process Prediction Surface Example 

Gaussian Process Prediction Surface Example

Contents

Example of the Gaussian Process Platform

Launch the Gaussian Process Platform

The Gaussian Process Report

Actual by Predicted Plot
Model Report
Marginal Model Plots

Gaussian Process Platform Options

Additional Examples of the Gaussian Process Platform

Example of a Gaussian Process Model
Example of a Gaussian Process Model with Categorical Predictors

Statistical Details for the Gaussian Process Platform

Statistical Details for Models with Continuous Predictors
Statistical Details for Models with Categorical Predictors
Statistical Details for Variance Formula Parameterization
Statistical Details for the Model Fit
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