Table 5.

Different artificially generated functions having Laplacian noise with their definition and domain of definition

Function name	Function definition	Domain of definition
Function19	$\text{f(x)}=\left(\frac{4}{|x_1|+2}\right)+cos(2x_1)+sin(3x_1)+\mathrm{\Psi }$	${\text{x}}_1\in [-10,10]$
Function20	$\begin{array}{cc}& \text{f(x)}=\left(\left(1+sin\left(2{\text{x}}_1+3x_2\right)\right),/\right)\hfill \\ \hfill & \left(\left(3.5+sin\left(x_1-x_2\right)\right)\right)+\mathrm{\Psi }\hfill \end{array}$	${\text{x}}_{\text{i}}\in [-2,2]$ $\text{i}\in \text{{ 1,2}}$
Function21	${\text{f(x}}_1,{\text{x}}_2)={\text{exp(x}}_1\text{sin(}\pi {\text{x}}_2))+\mathrm{\Psi }$	${\text{x}}_1,{\text{x}}_2\in [-1,1]$
Function22	$\begin{array}{cc}& \text{f(x)}=0.02[(12\text{+ 3x - 3}.5{\text{x}}^2+7.2{\text{x}}^3)\hfill \\ \hfill & (1\text{+ cos4}\pi \text{x)(1 + 0}.8\text{sin3}\pi \text{x)]}+\mathrm{\Psi }\hfill \end{array}$	$\text{x}\in [-0.25,0.25]$
Function23	$\begin{array}{cc}& {\text{f(x}}_1,{\text{x}}_2,{\text{x}}_3,{\text{x}}_4,{\text{x}}_5)=10\text{sin}\pi {\text{x}}_1{\text{x}}_2\hfill \\ \hfill & {\text{+ 20(x}}_3{-0.5)}^2{\text{+ 10x}}_4{\text{+ 5x}}_5+\mathrm{\Psi }\hfill \end{array}$	${\text{x}}_{\text{i}}\in [0,1]$ $\text{i}=1,2,3,4,5$
Function24	$\text{f(x)}=0.2sin\left(2\pi x\right)+0.2{\text{x}}^2+0.3$ such that ${\text{y}}_{\text{i}}={\text{f(x}}_{\text{i}})+(0.1{\text{x}}_{\text{i}}^2+0.05){\Psi }_i$	${\text{x}}_{\text{i}}=0.01(\text{i - 1) - 1,}$$\text{i}=1,2,\dots ,200$