# Kernel Clustering with a Differential Harmony Search Algorithm for Scheme Classification
## 4 Experiments
### Numerical Experiments of DHS
#### 4.1.2 Sensitivity Analysis of Parameters
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Function** & & _sc_ = 20 & _sc_ = 40 & _sc_ = 60 & _sc_ = 80 & _sc_ = 100 \\ \hline \multirow{2}{*}{[PERSON]} & Mean & \(9.12\times 10^{-13}\) & \(2.81\times 10^{-11}\) & \(3.87\times 10^{-10}\) & \(3.01\times 10^{-9}\) & \(1.33\times 10^{-8}\) \\  & Stdv & \(3.38\times 10^{-13}\) & \(1.15\times 10^{-11}\) & \(1.48\times 10^{-10}\) & \(1.18\times 10^{-9}\) & \(4.91\times 10^{-9}\) \\ \hline \multirow{2}{*}{[PERSON]} & Mean & \(4.65\times 10^{-6}\) & \(2.63\times 10^{-5}\) & \(7.38\times 10^{-4}\) & \(3.13\times 10^{-3}\) & \(3.80\times 10^{-3}\) \\  & Stdv & \(2.91\times 10^{-5}\) & \(1.84\times 10^{-4}\) & \(3.86\times 10^{-3}\) & \(7.26\times 10^{-3}\) & \(9.49\times 10^{-3}\) \\ \hline \multirow{2}{*}{[PERSON]} & Mean & \(5.97\times 10^{-15}\) & \(0\) & \(0\) & \(0\) & \(2.84\times 10^{-16}\) \\  & Stdv & \(4.22\times 10^{-14}\) & \(0\) & \(0\) & \(0\) & \(2.01\times 10^{-15}\) \\ \hline \multirow{2}{*}{Rosenbrock} & Mean & \(1.32\) & \(1.55\) & \(1.85\) & \(1.49\) & \(1.72\) \\  & Stdv & \(1.36\) & \(1.40\) & \(1.64\) & \(1.29\) & \(1.57\) \\ \hline \multirow{2}{*}{Sphere} & Mean & \(7.18\times 10^{-27}\) & \(9.36\times 10^{-24}\) & \(1.56\times 10^{-21}\) & \(9.81\times 10^{-20}\) & \(1.92\times 10^{-18}\) \\  & Stdv & \(4.38\times 10^{-27}\) & \(8.31\times 10^{-24}\) & \(9.09\times 10^{-22}\) & \(6.95\times 10^{-20}\) & \(1.42\times 10^{-18}\) \\ \hline \multirow{2}{*}{Schwefel} & Mean & \(4.38\times 10^{-12}\) & \(3.82\times 10^{-11}\) & \(2.53\times 10^{-10}\) & \(1.09\times 10^{-9}\) & \(3.66\times 10^{-9}\) \\  & Stdv & \(1.99\times 10^{-12}\) & \(1.76\times 10^{-11}\) & \(9.65\times 10^{-11}\) & \(4.93\times 10^{-10}\) & \(1.64\times 10^{-9}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 5: The effect of _sc_ on the means and standard deviations. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Function** & & _hmcr_ = 0.7 & _hmcr_ = 0.8 & _hmcr_ = 0.9 & _hmcr_ = 0.99 \\ \hline \multirow{2}{*}{Ackley} & Mean & \(3.95\times 10^{-10}\) & \(5.27\times 10^{-12}\) & \(1.73\times 10^{-13}\) & \(6.09\times 10^{-15}\) \\  & Stdv & \(5.56\times 10^{-10}\) & \(2.04\times 10^{-12}\) & \(6.69\times 10^{-14}\) & \(1.81\times 10^{-15}\) \\ \hline \multirow{2}{*}{[PERSON]} & Mean & \(9.08\times 10^{-5}\) & \(7.97\times 10^{-7}\) & \(5.26\times 10^{-9}\) & \(2.46\times 10^{-4}\) \\  & Stdv & \(1.34\times 10^{-4}\) & \(1.13\times 10^{-6}\) & \(3.17\times 10^{-8}\) & \(1.74\times 10^{-3}\) \\ \hline \multirow{2}{*}{Rastrigin} & Mean & \(7.39\times 10^{-14}\) & \(5.23\times 10^{-14}\) & \(2.58\times 10^{-8}\) & \(4.18\times 10^{-1}\) \\  & Stdv & \(3.73\times 10^{-13}\) & \(3.70\times 10^{-13}\) & \(1.82\times 10^{-7}\) & \(6.39\times 10^{-1}\) \\ \hline \multirow{2}{*}{Rosenbrock} & Mean & \(7.88\times 10^{-1}\) & \(5.49\times 10^{-1}\) & \(1.26\) & \(1.72\) \\  & Stdv & \(4.52\times 10^{-1}\) & \(3.80\times 10^{-1}\) & \(1.43\) & \(1.54\) \\ \hline \multirow{2}{*}{Sphere} & Mean & \(8.59\times 10^{-22}\) & \(1.09\times 10^{-25}\) & \(2.17\times 10^{-28}\) & \(7.11\times 10^{-32}\) \\  & Stdv & \(5.18\times 10^{-21}\) & \(8.31\times 10^{-26}\) & \(1.65\times 10^{-28}\) & \(6.02\times 10^{-32}\) \\ \hline \multirow{2}{*}{Schwefel 2.22} & Mean & \(3.53\times 10^{-8}\) & \(5.96\times 10^{-10}\) & \(3.10\times 10^{-12}\) & \(1.43\times 10^{-14}\) \\  & Stdv & \(1.88\times 10^{-8}\) & \(4.04\times 10^{-10}\) & \(2.01\times 10^{-12}\) & \(6.77\times 10^{-15}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 7: The effect of _hmcr_ on the means and standard deviations.