makeRastriginFunction function

Rastrigin Function

One of the most popular single-objective test functions consists of many local optima and is thus highly multimodal with a global structure. The implementation follows the formula [REMOVE_ME]$f(\mathbf{x}) = 10n + \sum_{i=1}^{n} \left(\mathbf{x}_i^2 - 10 \cos(2\pi \mathbf{x}_i)\right). [REMOVE_ME_2]$

The box-constraints are given by $\mathbf{x}_i \in [-5.12, 5.12]$ for $i = 1, \ldots, n$.

makeRastriginFunction(dimensions)

Arguments

• dimensions: [integer(1)]

  Size of corresponding parameter space.

Returns

[smoof_single_objective_function]

Description

One of the most popular single-objective test functions consists of many local optima and is thus highly multimodal with a global structure. The implementation follows the formula

The box-constraints are given by $\mathbf{x}_i \in [-5.12, 5.12]$ for $i = 1, \ldots, n$.

References

L. A. Rastrigin. Extremal control systems. Theoretical Foundations of Engineering Cybernetics Series. Nauka, Moscow, 1974.