test_functions N-D Test Functions V

class go_benchmark.VenterSobiezcczanskiSobieski(dimensions=2)

Venter Sobiezcczanski-Sobieski test objective function.

This class defines the Venter Sobiezcczanski-Sobieski global optimization problem. This is a multimodal minimization problem defined as follows:

f_{\text{VenterSobiezcczanskiSobieski}}(\mathbf{x}) = x_1^2 - 100 \cos^2(x_1) - 100 \cos(x_1^2/30) + x_2^2 - 100 \cos^2(x_2) - 100 \cos(x_2^2/30)

Here, n represents the number of dimensions and x_i \in [-50, 50] for i=1,2.

Venter Sobiezcczanski-Sobieski function

Two-dimensional Venter Sobiezcczanski-Sobieski function

Global optimum: f(x_i) = -400 for x_i = 0 for i=1,2


class go_benchmark.Vincent(dimensions=2)

Vincent test objective function.

This class defines the Vincent global optimization problem. This is a multimodal minimization problem defined as follows:

f_{\text{Vincent}}(\mathbf{x}) = - \sum_{i=1}^{n} \sin(10 \log(x))

Here, n represents the number of dimensions and x_i \in [0.25, 10] for i=1,...,n.

Vincent function

Two-dimensional Vincent function

Global optimum: f(x_i) = -n for x_i = 7.70628098 for i=1,...,n

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