N-D Test Functions F¶

class go_benchmark.FreudensteinRoth(dimensions=2)¶

FreudensteinRoth test objective function.

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

$f_{\text{FreudensteinRoth}}(\mathbf{x}) = \left\{x_1 - 13 + \left[(5 - x_2)x_2 - 2 \right] x_2 \right\}^2 + \left \{x_1 - 29 + \left[(x_2 + 1)x_2 - 14 \right] x_2 \right\}^2$

Here, $n$ represents the number of dimensions and $x_i \in [-10, 10]$ for $i=1,2$ .

Two-dimensional FreudensteinRoth function

Global optimum: $f(x_i) = 0$ for $\mathbf{x} = [5, 4]$

N-D Test Functions F¶

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