7: Salomon's function

Minimize:

$$f_{7}(\vec x)=- \cos \left(2 \pi \sqrt{ \sum_{i=1}^D x_i^2} \right)+ 0.1 \sqrt{\sum_{i=1}^D x_i^2}+1$$

With constraints:

$$Unconstrained$$

Global optimum:

$$f_{7}(\vec x^*)=0$$

$${x_i}^*=0, \quad i=1,\ldots,D$$

Features:

Multimodal, Non-separable

Figure 15: Salomons's function