Description Usage Format Details Note Author(s) References See Also

A 2-dimensional data set that can be used to validate non-stationary models.

1 |

A `data frame`

with 441 observations on the following 4 variables.

`X1`

Numeric vector describing the first dimension of

`X`

inputs`X2`

Numeric vector describing the second dimension of

`X`

inputs`Z`

Numeric vector describing the response

`Z(X)+N(0,sd=0.001)`

`Ztrue`

Numeric vector describing the true response

`Z(X)`

, without noise

The true response is evaluated as

*Z(X) = X1 * exp(-X1^2 -X2^2).*

Zero-mean normal noise
with `sd=0.001`

has been added to the true response

This data is used in the examples of the functions listed below in
the “See Also” section via the `exp2d.rand`

function

Robert B. Gramacy, rbg@vt.edu, and Matt Taddy, mataddy@amazon.com

Gramacy, R. B. (2020) *Surrogates: Gaussian Process Modeling,
Design and Optimization for the Applied Sciences*. Boca Raton,
Florida: Chapman Hall/CRC.
https://bobby.gramacy.com/surrogates/

Gramacy, R. B. (2007). *tgp: An R Package for
Bayesian Nonstationary, Semiparametric Nonlinear Regression
and Design by Treed Gaussian Process Models.*
Journal of Statistical Software,

Robert B. Gramacy, Matthew Taddy (2010). *Categorical Inputs,
Sensitivity Analysis, Optimization and Importance Tempering with tgp
Version 2, an R Package for Treed Gaussian Process Models.*
Journal of Statistical Software,

Gramacy, R. B., Lee, H. K. H. (2008).
*Bayesian treed Gaussian process models with an application
to computer modeling*. Journal of the American Statistical Association,
103(483), pp. 1119-1130. Also available as ArXiv article 0710.4536
https://arxiv.org/abs/0710.4536

https://bobby.gramacy.com/r_packages/tgp/

`exp2d.rand`

, `exp2d.Z`

,
`btgp`

, and other `b*`

functions

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