makeSphereFunction {smoof}

Sphere Function

Description

Also known as the the “De Jong function 1”. Convex, continous function calculated via the formula

f(\mathbf{x}) = \sum_{i=1}^{n} \mathbf{x}_i^2

with box-constraings \mathbf{x}_i \in [-5.12, 5.12], i = 1, \ldots, n.

Usage

makeSphereFunction(dimensions)

Arguments

dimensions

[integer(1)]
Size of corresponding parameter space.

Value

[smoof_single_objective_function]

References

M. A. Schumer, K. Steiglitz, Adaptive Step Size Random Search, IEEE Transactions on Automatic Control. vol. 13, no. 3, pp. 270-276, 1968.