soobench (version 1.9.18)

generate_mexican_hat_function: Mexican hat test function generator.

Description

The Mexican hat function is defined slightly differently by different people. The definition used here is

Usage

generate_mexican_hat_function(dimensions)

Arguments

dimensions

[integer(1)] Size of parameter space.

Value

A soo_function.

Details

$$f(x) = -(1 - x'x) * \exp\left(-\frac{x'x}{2}\right)$$

Note that we have flipped the sign of the function so that it is a minimization problem like all other SOO functions.