test_functions N-D Test Functions I

class go_benchmark.Infinity(dimensions=2)

Infinity test objective function.

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

f_{\text{Infinity}}(\mathbf{x}) = \sum_{i=1}^{n} x_i^{6} \left [ \sin\left ( \frac{1}{x_i} \right )+2 \right ]

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

Infinity function

Two-dimensional Infinity function

Global optimum: f(x_i) = 0 for x_i = 0 for i=1,...,n

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