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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