N-D Test Functions Y¶

class go_benchmark.YaoLiu04(dimensions=2)¶

Yao-Liu 4 test objective function.

This class defines the Yao-Liu function 4 global optimization problem. This is a multimodal minimization problem defined as follows:

$f_{\text{YaoLiu04}}(\mathbf{x}) = {max}_i \left\{ \left | x_i \right | , 1 \leq i \leq n \right\}$

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

Two-dimensional Yao-Liu 4 function

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

class go_benchmark.YaoLiu09(dimensions=2)¶

Yao-Liu 9 test objective function.

This class defines the Yao-Liu function 9 global optimization problem. This is a multimodal minimization problem defined as follows:

$f_{\text{YaoLiu09}}(\mathbf{x}) = \sum_{i=1}^n \left [ x_i^2 - 10 \cos(2 \pi x_i ) + 10 \right ]$

Here, $n$ represents the number of dimensions and $x_i \in [-5.12, 5.12]$ for $i=1,...,n$ .

Two-dimensional Yao-Liu 9 function

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