N-D Test Functions I¶

class Infinity(dimensions=2)¶

Infinity objective function.

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

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

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: $f(x) = 0$ for $x_i = 0$ for $i = 1, ..., n$

Gavana, A. Global Optimization Benchmarks and AMPGO

class InvertedCosine(dimensions=2)¶: Inverted Cosine objective function.

Two-dimensional InvertedCosine function

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