herbtooth: Herbie's Tooth function

In liGP: Locally Induced Gaussian Process Regression

Description

Two-dimensional function whose surface resembles a molar, with multiple local minima/maxima

Arguments

X	a matrix or data.frame containing the full (large) design matrix of input locations in [-2,2]^2

Details

A non-stationary function with many local minima/maxima that is difficult to model with a global model.

Value

a vector of evaluations of the Herbie's tooth function, length = nrow(X)

Author(s)

D. Austin Cole [e-mail]

References

H.K.H. Lee, R.B. Gramacy, C. Linkletter, and G. Gray. 2011. Optimization Subject to Hidden Constraints via Statistical Emulation Pacific Journal of Optimization 7 (3): 467-78.

Examples

X <- matrix(runif(200, min = -2, max = 2), ncol=2)
herbtooth(X)

liGP documentation built on July 17, 2021, 9:08 a.m.