makeAckleyFunction function

Ackley Function

Also known as Ackley's Path Function . Multimodal test function with its global optimum in the center of the defintion space. The implementation is based on the formula [REMOVE_ME]$f(\mathbf{x}) = -a \cdot \exp\left(-b \cdot \sqrt{\left(\frac{1}{n} \sum_{i=1}^{n} \mathbf{x}_i\right)}\right) - \exp\left(\frac{1}{n} \sum_{i=1}^{n} \cos(c \cdot \mathbf{x}_i)\right), [REMOVE_ME_2]$

with $a = 20$, $b = 0.2$ and $c = 2\pi$. The feasible region is given by the box constraints $\mathbf{x}_i \in [-32.768, 32.768]$.

makeAckleyFunction(dimensions)

Arguments

• dimensions: [integer(1)]

  Size of corresponding parameter space.

Returns

[smoof_single_objective_function]

Description

Also known as Ackley's Path Function . Multimodal test function with its global optimum in the center of the defintion space. The implementation is based on the formula

with $a = 20$, $b = 0.2$ and $c = 2\pi$. The feasible region is given by the box constraints $\mathbf{x}_i \in [-32.768, 32.768]$.

References

Ackley, D. H.: A connectionist machine for genetic hillclimbing. Boston: Kluwer Academic Publishers, 1987.