sphere6: 6D sphere function

In DiceOptim: Kriging-Based Optimization for Computer Experiments

Description

6D Shifted and rotated weighted sphere test function.

Usage

sphere6(x)

Arguments

x	a 6-dimensional vector specifying the location where the function is to be evaluated.

Details

The 6D Shifted and rotated weighted sphere (standardized version) function is here defined over the domain [0,1]^6. It has 1 global minimizer : x* = c(1,0.8,0.6,0.4,0.2,0), ), with minimum f(x*) = -1.941389. It has no further local minima.

Value

A real number equal to the sphere6 function values at x

Author(s)

Tobias Wagner

Victor Picheny

David Ginsbourger

Examples

 
design <- matrix(runif(400), 100, 4)
response <- apply(design, 1, sphere6)

DiceOptim documentation built on Feb. 2, 2021, 1:06 a.m.