Selection
From Adaptive Population based Simplex
Basic selection (s0)
- select a simplex S (i.e. $D+1$ individuals) at random;
- select the three first ones;
- sort them, by increasing order of value (fitness). They are $x_{best}$, $x_{worst2}$, and $w_{worst}$.
If $x_{best}$ is better than the best ever found (i.e. $Best$), set $Best=x_{best}$.