# Parameter Combination Framework for the Differential Evolution Algorithm
## 6 Experiments and Discussion
PSCDE obtains better result than SHADE  
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{2}{*}{**Fun**} & **SHADE** & **jDE** & **jDE** & **EPSDE** & **MPDE** & **CoDE** & **PSCDE** \\  & **Mean** & **Mean** & **Mean** & **Mean** & **Mean** & **Mean** & **Mean** & **Mean** \\  & **(Std)** & **(Std)** & **(Std)** & **(Std)** & **(Std)** & **(Std)** & **(Std)** \\ \hline \multirow{2}{*}{1} & **3.27e+04** & 4.56e+(05) & 3.02e+(06) & - & 4.52e+04 & \(\kappa=2.19\)F+(05) & - & 4.15E+04 \\  & **(2.22e+04)** & 2.14e+(05) & (5.37e+(06)) & (2.72e+04) & \(\kappa=1.11\)F+(05) & (2.52e+04) & (2.52e+04) \\ \hline \multirow{2}{*}{2} & **0.00e+00** & **2.00e+00** & 1.22e+(08) & 1.10e+(08) & **(0.00e+00)** & \(\kappa=1.25\)F+(02) & **(0.00e+00)** \\  & **(0.00e+00)** & (2.62e-08) & - & 1.75e+(08) & **(0.00e+00)** & \(\kappa=1.32\)F+(02) & **(0.00e+00)** \\ \hline \multirow{2}{*}{3} & 1.94e-03 & 3.65e-09 & 5.53e-07 & 7.74e-05 & 3.71E+01 & 0.00e+00) \\  & (2.39e-03) & (9.57e-09) & (1.52e-08) & (1.33e-04) & (6.42e+01) & (0.00e+00) \\  & (3.82e-01) & (7.64e-00) & (3.61e-01) & **(3.61e-01)** & **(2.51e+01)** & (2.52e+01)** & (4.88e+01) \\ \hline \multirow{2}{*}{4} & 2.10e+(01) & 2.04e+(01) & 2.00e+(01) & 2.00e+(01) & 2.00e+(01) & 2.00e+(01) & **2.00e+01** \\  & (6.66e-02) & (2.56e-02) & (8.37e-02) & (4.33e-02) & (5.34e-02) & **(4.77e+09)** \\ \hline \multirow{2}{*}{6} & 1.47e+(01) & 2.49e+(01) & 3.07e+(01) & 6.67e+(00) & 0.67e+(00) & **(1.89e+00)** & **(1.98e+00)** \\  & (3.99e-00) & (2.41e+00) & (2.88e-01) & (2.86e-03) & (2.11e+00) & (2.81e-03) & **(0.00e+00)** \\ \hline \multirow{2}{*}{7} & 1.04e-02 & **0.00e+00** & **0.00e+00** & 5.74e-03 & 1.06e-03 & - & 2.81e-03 & **0.00e+00** \\  & (1.00e-02) & (**0.00e+00**) & (9.26e-02) & (2.66e-03) & (2.66e-03) & (5.58e-03) & **(0.00e+00)** \\ \hline \multirow{2}{*}{8} & **0.00e+00** & **0.00e+00** & **0.00e+00** & 4.74e-02 & **0.00e+00** & 3.32e-01 & **0.00e+00** \\  & **(0.00e+00)** & **(0.00e+00)** & (2.17e-01) & **(0.00e+00)** & **(0.00e+00)** & (5.74e-01) & **(0.00e+00)** \\ \hline \multirow{2}{*}{9} & **3.99e+01** & 9.77e+01 & 1.47e+(02) & 5.27e+01 & 1.74e+(01) & 4.77e+01 & 4.57e+01 \\  & **(7.98e+00)** & (1.26e-01) & (1.72e+01) & (1.32e+01) & (1.32e+01) & (1.31e+01) & (1.37e+01) & (4.67e+00) \\ \hline \multirow{2}{*}{10} & **5.95e-04** & **+** & 2.97e-03 & 1.60e+00 & 5.21e-01 & 5.72e+00 & 1.67e+02 \\  & **(2.73e-03)** & **+** & (5.45e-03) & **+** & (2.99e-00) & (2.15e-01) & (2.75e-00) & (1.82e-02) \\ \hline \multirow{2}{*}{11} & **3.34e+03** & 3.21e+03 & 7.49e+03 & 5.05e+03 & 4.62e+03 & 3.75e+03 & 3.75e+03 \\  & **(2.28e+02)** & (5.01e-02) & (7.67e-02) & (0.15e+02) & (0.87e+02) & (0.38e-02) & (0.00e-02) \\ \hline \multirow{2}{*}{12} & 1.54e-01 & 4.58e-01 & 8.42e-01 & 5.22e-01 & 7.56e-02 & 1.67e+01 \\  & (2.24e-02) & (4.15e-02) & (2.35e-01) & (1.08e-01) & **(3.88e-02)** & (2.73e-02) \\ \hline \multirow{2}{*}{13} & 3.27e-01 & 3.92e-01 & 3.71e-01 & 2.70e-01 & 3.29e-01 & 3.29e-01 & **2.85e-01** \\  & (5.81e-02) & (3.85e-02) & (5.45e-02) & (3.14e-02) & (4.11e-02) & **(0.32e-02)** \\ \hline \multirow{2}{*}{14} & 3.06e-01 & \multirow{2}{*}{-} & 3.35e-01 & 3.00e-01 & 2.96e-01 & 2.88e-01 & **2.71e-01** \\  & (3.32e-02) & (4.48e-02) & (3.54e-02) & (2.48e-02) & (3.50e-02) & (0.30e-02) & **(0.43e-02)** \\ \hline \multirow{2}{*}{15} & 1.20e-01 & 1.17e+01 & 1.78e+01 & 6.55e+00 & 6.60e+00 & 6.60e+00 & **6.50e+00** \\  & (2.25e-00) & (2.56e-01) & (1.93e-00) & (2.76e-00) & (2.76e-00) & **(0.98e-01)** \\ \hline \multirow{2}{*}{16} & **1.75e+01** & **1.84e+01** & 1.96e+01 & 1.84e+01 & 1.81E+01 & 1.81E+01 & 1.80E+01 \\  & (**7.43e-01)** & (4.00e-01) & (6.96e-01) & (6.68e-01) & (1.041e-00) & (7.90e-01) \\ \hline \multirow{2}{*}{17} & 2.79e-03 & 2.22e+04 & 1.127e+05 & **1.91e+03** & 1.994e+03 & 1.99e+04 & 2.42e+03 \\  & (8.57e-02) & (1.05e-02) & (1.05e-02) & (5.25e-02) & (1.25e-02) & (1.25e-02) & (1.49e+03) \\ \hline \multirow{2}{*}{18} & 1.50e+02 & 4.51e+02 & 5.37e+02 & 1.27e+02 & 2.98e+02 & **6.10e+01** \\  & (2.28e+01) & (6.11e-02) & (6.35e-02) &for 21 functions and poorer results for four functions.