math_example: Dataset for the example in function 'LVGP_fit'

In LVGP: Latent Variable Gaussian Process Modeling with Qualitative and Quantitative Input Variables

Description

Data are sampled from the modified math function based on the first example in the paper listed in codereferences. There are still 2 quantitative and 1 qualitative variables, but the qualitative variable has only 3 levels. For each level, there are 8 training data points and 30 testing data points, all generated with Latin hypercube sampling. In total, there are 24 training data points and 90 testing data points.

Usage

data(math_example)

Format

A named list containing training and test data:

"X_tr"

24-by-3 matrix for 24 training data inputs, 3rd column being the qualitative variable

"Y_tr"

24-by-1 matrix for 24 training data outputs

"X_te"

90-by-3 matrix for 90 testing data inputs, 3rd column being the qualitative variable

"Y_te"

90-by-1 matrix for 90 testing data outputs

Source

The dataset can be generated with the code at the end of this description file.

References

1. "A Latent Variable Approach to Gaussian Process Modeling with Qualitative and Quantitative Factors", Yichi Zhang, Siyu Tao, Wei Chen, and Daniel W. Apley (arXiv)

Examples

data(math_example)
X_tr <- math_example$X_tr
Y_tr <- math_example$Y_tr
X_te <- math_example$X_te
Y_te <- math_example$Y_te

LVGP documentation built on May 1, 2019, 7:05 p.m.