Table A1.
Comparison of 6 algorithms of 50 dimensions.
| Dim = 50 | |||||||
| HO | BKA | CFOA | SWO | COA | ISWO | ||
| F1 | Max | 1.81E+10 | 1.03E+11 | 1.40E+11 | 7.78E+08 | 2.42E+10 | 1.39E+09 |
| Mean | 1.07E+10 | 4.25E+10 | 1.06E+11 | 4.27E+08 | 1.14E+10 | 2.61E+08 | |
| Min | 4.51E+09 | 1.54E+10 | 8.55E+10 | 1.90E+08 | 3.54E+09 | 5.64E+07 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 2.15E−06 | 3.02E−11 | 1.00E+00 | |
| Std | 3.63E+09 | 2.26E+10 | 1.26E+10 | 1.56E+08 | 5.66E+09 | 2.68E+08 | |
| F2 | Max | 1.26E+66 | 6.96E+75 | 1.38E+87 | 2.84E+48 | 1.63E+61 | 2.98E+49 |
| Mean | 6.84E+64 | 2.42E+74 | 5.39E+85 | 1.23E+47 | 5.43E+59 | 1.93E+48 | |
| Min | 9.37E+54 | 2.19E+46 | 1.33E+70 | 5.65E+38 | 1.02E+42 | 4.50E+37 | |
| p-value | 3.02E−11 | 9.92E−11 | 3.02E−11 | 1.63E−02 | 1.20E−08 | 1.00E+00 | |
| Std | 2.46E+65 | 1.27E+75 | 2.52E+86 | 5.20E+47 | 2.97E+60 | 7.33E+48 | |
| F3 | Max | 1.62E+05 | 2.26E+05 | 7.82E+05 | 1.91E+05 | 3.00E+05 | 1.29E+05 |
| Mean | 1.40E+05 | 9.41E+04 | 4.67E+05 | 1.20E+05 | 2.35E+05 | 8.95E+04 | |
| Min | 1.20E+05 | 5.34E+04 | 3.15E+05 | 7.86E+04 | 1.66E+05 | 6.60E+04 | |
| p-value | 4.98E−11 | 6.63E−01 | 3.02E−11 | 2.32E−06 | 3.02E−11 | 1.00E+00 | |
| Std | 1.14E+04 | 3.67E+04 | 1.12E+05 | 2.48E+04 | 3.40E+04 | 1.51E+04 | |
| F4 | Max | 3.57E+03 | 3.06E+04 | 4.34E+04 | 8.54E+02 | 4.49E+03 | 8.79E+02 |
| Mean | 2.28E+03 | 9.16E+03 | 2.95E+04 | 7.43E+02 | 2.02E+03 | 7.39E+02 | |
| Min | 1.43E+03 | 1.75E+03 | 1.81E+04 | 5.86E+02 | 1.03E+03 | 6.09E+02 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 6.52E−01 | 3.02E−11 | 1.00E+00 | |
| Std | 4.95E+02 | 8.69E+03 | 5.62E+03 | 6.14E+01 | 8.97E+02 | 6.64E+01 | |
| F5 | Max | 9.54E+02 | 1.18E+03 | 1.30E+03 | 8.73E+02 | 9.46E+02 | 8.71E+02 |
| Mean | 8.93E+02 | 9.10E+02 | 1.21E+03 | 7.51E+02 | 8.95E+02 | 8.06E+02 | |
| Min | 8.39E+02 | 7.79E+02 | 1.08E+03 | 6.76E+02 | 8.20E+02 | 7.09E+02 | |
| p-value | 2.87E−10 | 9.76E−10 | 3.02E−11 | 2.96E−05 | 2.15E−10 | 1.00E+00 | |
| Std | 2.83E+01 | 8.19E+01 | 4.78E+01 | 4.21E+01 | 2.54E+01 | 4.32E+01 | |
| F6 | Max | 6.85E+02 | 7.04E+02 | 7.18E+02 | 6.27E+02 | 6.80E+02 | 6.56E+02 |
| Mean | 6.75E+02 | 6.74E+02 | 7.01E+02 | 6.17E+02 | 6.66E+02 | 6.43E+02 | |
| Min | 6.56E+02 | 6.63E+02 | 6.80E+02 | 6.09E+02 | 6.38E+02 | 6.28E+02 | |
| P-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 3.02E−11 | 2.23E−09 | 1.00E+00 | |
| Std | 5.78E+00 | 1.01E+01 | 8.10E+00 | 4.58E+00 | 9.02E+00 | 7.32E+00 | |
| F7 | Max | 1.84E+03 | 1.92E+03 | 2.86E+03 | 1.28E+03 | 1.85E+03 | 1.53E+03 |
| Mean | 1.69E+03 | 1.71E+03 | 2.51E+03 | 1.14E+03 | 1.76E+03 | 1.29E+03 | |
| Min | 1.41E+03 | 1.57E+03 | 1.95E+03 | 1.01E+03 | 1.47E+03 | 1.05E+03 | |
| p-value | 4.98E−11 | 3.02E−11 | 3.02E−11 | 2.68E−06 | 4.50E−11 | 1.00E+00 | |
| Std | 7.84E+01 | 6.81E+01 | 2.26E+02 | 7.38E+01 | 8.28E+01 | 1.19E+02 | |
| F8 | Max | 1.24E+03 | 1.47E+03 | 1.60E+03 | 1.13E+03 | 1.30E+03 | 1.22E+03 |
| Mean | 1.16E+03 | 1.26E+03 | 1.51E+03 | 1.06E+03 | 1.23E+03 | 1.11E+03 | |
| Min | 1.04E+03 | 1.18E+03 | 1.38E+03 | 9.72E+02 | 1.07E+03 | 1.00E+03 | |
| p-value | 4.35E−05 | 1.96E−10 | 3.02E−11 | 1.30E−03 | 8.89E−10 | 1.00E+00 | |
| Std | 4.23E+01 | 7.35E+01 | 5.75E+01 | 4.28E+01 | 4.05E+01 | 5.33E+01 | |
| F9 | Max | 2.40E+04 | 3.58E+04 | 6.57E+04 | 1.39E+04 | 3.64E+04 | 2.17E+04 |
| Mean | 1.99E+04 | 1.76E+04 | 4.64E+04 | 7.52E+03 | 2.51E+04 | 1.31E+04 | |
| Min | 8.51E+03 | 1.38E+04 | 2.91E+04 | 3.47E+03 | 1.40E+04 | 6.53E+03 | |
| p-value | 2.20E−07 | 4.46E−04 | 3.02E−11 | 1.73E−07 | 1.20E−08 | 1.00E+00 | |
| Std | 3.17E+03 | 4.58E+03 | 1.08E+04 | 2.22E+03 | 6.87E+03 | 4.35E+03 | |
| F10 | Max | 1.25E+04 | 1.47E+04 | 1.72E+04 | 1.20E+04 | 1.47E+04 | 1.04E+04 |
| Mean | 9.69E+03 | 9.37E+03 | 1.59E+04 | 9.39E+03 | 1.34E+04 | 8.43E+03 | |
| Min | 7.82E+03 | 6.78E+03 | 1.35E+04 | 7.45E+03 | 1.11E+04 | 6.57E+03 | |
| p-value | 1.49E−04 | 3.78E−02 | 3.02E−11 | 5.83E−03 | 3.02E−11 | 1.00E+00 | |
| Std | 1.28E+03 | 1.97E+03 | 7.89E+02 | 1.31E+03 | 7.29E+02 | 8.94E+02 | |
| F11 | Max | 7.09E+03 | 2.77E+04 | 6.64E+04 | 2.50E+03 | 1.27E+04 | 2.15E+03 |
| Mean | 4.78E+03 | 5.42E+03 | 4.63E+04 | 1.80E+03 | 4.81E+03 | 1.65E+03 | |
| Min | 3.54E+03 | 2.00E+03 | 2.57E+04 | 1.49E+03 | 2.04E+03 | 1.33E+03 | |
| p-value | 3.02E−11 | 4.98E−11 | 3.02E−11 | 7.29E−03 | 4.08E−11 | 1.00E+00 | |
| Std | 1.04E+03 | 4.97E+03 | 1.30E+04 | 2.30E+02 | 2.47E+03 | 1.92E+02 | |
| F12 | Max | 2.82E+09 | 4.81E+10 | 9.14E+10 | 5.67E+07 | 6.87E+09 | 1.76E+08 |
| Mean | 1.22E+09 | 6.63E+09 | 6.20E+10 | 2.68E+07 | 7.50E+08 | 2.49E+07 | |
| Min | 1.93E+08 | 5.29E+07 | 2.41E+10 | 6.95E+06 | 5.72E+07 | 2.82E+06 | |
| p-value | 3.02E−11 | 3.69E−11 | 3.02E−11 | 6.35E−02 | 1.33E−10 | 1.00E+00 | |
| Std | 6.71E+08 | 1.11E+10 | 1.50E+10 | 1.38E+07 | 1.51E+09 | 3.14E+07 | |
| F13 | Max | 1.44E+08 | 2.74E+10 | 5.26E+10 | 5.35E+04 | 7.76E+06 | 1.20E+05 |
| Mean | 7.28E+06 | 2.37E+09 | 2.89E+10 | 2.06E+04 | 1.88E+06 | 2.87E+04 | |
| Min | 2.05E+05 | 4.36E+05 | 6.34E+09 | 7.70E+03 | 1.04E+05 | 1.26E+04 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 3.92E−02 | 3.34E−11 | 1.00E+00 | |
| Std | 2.72E+07 | 6.40E+09 | 1.18E+10 | 1.03E+04 | 2.14E+06 | 2.01E+04 | |
| F14 | Max | 7.44E+06 | 1.30E+07 | 1.31E+08 | 6.28E+05 | 4.39E+06 | 1.30E+05 |
| Mean | 2.90E+06 | 5.94E+05 | 3.68E+07 | 1.69E+05 | 1.48E+06 | 4.54E+04 | |
| Min | 4.18E+05 | 1.18E+04 | 4.40E+06 | 6.54E+03 | 1.09E+05 | 4.93E+03 | |
| p-value | 3.02E−11 | 8.66E−05 | 3.02E−11 | 1.41E−04 | 3.69E−11 | 1.00E+00 | |
| Std | 2.29E+06 | 2.36E+06 | 2.81E+07 | 1.60E+05 | 1.09E+06 | 3.60E+04 | |
| F15 | Max | 2.44E+05 | 5.10E+09 | 9.80E+09 | 2.67E+04 | 1.00E+06 | 2.33E+04 |
| Mean | 9.03E+04 | 4.18E+08 | 4.30E+09 | 9.28E+03 | 9.30E+04 | 1.19E+04 | |
| Min | 2.90E+04 | 3.72E+04 | 9.83E+08 | 2.50E+03 | 9.12E+03 | 3.18E+03 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 9.33E−02 | 3.82E−10 | 1.00E+00 | |
| Std | 5.66E+04 | 1.09E+09 | 2.35E+09 | 6.24E+03 | 1.78E+05 | 6.47E+03 | |
| F16 | Max | 8.18E+03 | 8.90E+03 | 1.05E+04 | 4.13E+03 | 4.62E+03 | 4.42E+03 |
| Mean | 5.41E+03 | 4.61E+03 | 7.78E+03 | 3.44E+03 | 3.72E+03 | 3.40E+03 | |
| Min | 3.96E+03 | 3.06E+03 | 5.71E+03 | 2.71E+03 | 2.53E+03 | 2.76E+03 | |
| p-value | 4.98E−11 | 4.44E−07 | 3.02E−11 | 3.95E−01 | 9.47E−03 | 1.00E+00 | |
| Std | 8.47E+02 | 1.35E+03 | 1.30E+03 | 3.32E+02 | 5.08E+02 | 4.18E+02 | |
| F17 | Max | 4.67E+03 | 5.16E+03 | 3.19E+04 | 3.57E+03 | 4.35E+03 | 3.51E+03 |
| Mean | 3.84E+03 | 3.69E+03 | 1.01E+04 | 2.97E+03 | 3.59E+03 | 3.07E+03 | |
| Min | 3.07E+03 | 3.03E+03 | 4.65E+03 | 2.50E+03 | 2.92E+03 | 2.47E+03 | |
| p-value | 3.50E−09 | 3.50E−09 | 3.02E−11 | 2.28E−01 | 6.01E−08 | 1.00E+00 | |
| Std | 4.47E+02 | 4.69E+02 | 6.72E+03 | 2.62E+02 | 3.64E+02 | 2.18E+02 | |
| F18 | Max | 1.83E+07 | 7.01E+07 | 4.14E+08 | 5.38E+06 | 2.38E+07 | 2.78E+06 |
| Mean | 6.18E+06 | 5.19E+06 | 1.12E+08 | 1.48E+06 | 6.51E+06 | 5.97E+05 | |
| Min | 3.39E+05 | 1.59E+05 | 2.08E+07 | 1.47E+05 | 6.70E+05 | 6.62E+04 | |
| p-value | 3.47E−10 | 9.03E−04 | 3.02E−11 | 1.25E−04 | 4.20E−10 | 1.00E+00 | |
| Std | 4.21E+06 | 1.43E+07 | 8.60E+07 | 1.21E+06 | 4.65E+06 | 5.91E+05 | |
| F19 | Max | 3.52E+07 | 1.78E+09 | 6.77E+09 | 4.15E+04 | 9.89E+05 | 3.12E+04 |
| Mean | 1.17E+07 | 9.67E+07 | 2.23E+09 | 1.77E+04 | 2.40E+05 | 1.49E+04 | |
| Min | 5.50E+04 | 8.65E+04 | 5.13E+08 | 2.06E+03 | 3.45E+04 | 2.70E+03 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 3.63E−01 | 3.02E−11 | 1.00E+00 | |
| Std | 1.06E+07 | 3.42E+08 | 1.35E+09 | 1.12E+04 | 2.17E+05 | 7.75E+03 | |
| F20 | Max | 3.78E+03 | 3.85E+03 | 5.29E+03 | 3.65E+03 | 3.93E+03 | 3.58E+03 |
| Mean | 3.30E+03 | 3.27E+03 | 4.47E+03 | 3.01E+03 | 3.63E+03 | 3.04E+03 | |
| Min | 2.91E+03 | 2.74E+03 | 3.45E+03 | 2.43E+03 | 2.79E+03 | 2.52E+03 | |
| p-value | 2.53E−04 | 4.64E−03 | 3.69E−11 | 8.07E−01 | 7.09E−08 | 1.00E+00 | |
| Std | 1.97E+02 | 2.76E+02 | 4.82E+02 | 2.43E+02 | 3.17E+02 | 2.71E+02 | |
| F21 | Max | 3.02E+03 | 3.28E+03 | 3.34E+03 | 2.61E+03 | 2.74E+03 | 2.62E+03 |
| Mean | 2.83E+03 | 2.89E+03 | 3.11E+03 | 2.54E+03 | 2.61E+03 | 2.53E+03 | |
| Min | 2.68E+03 | 2.73E+03 | 2.96E+03 | 2.48E+03 | 2.50E+03 | 2.44E+03 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 3.87E−01 | 6.28E−06 | 1.00E+00 | |
| Std | 8.40E+01 | 1.19E+02 | 9.51E+01 | 4.17E+01 | 6.67E+01 | 4.71E+01 | |
| F22 | Max | 1.39E+04 | 1.60E+04 | 1.89E+04 | 1.39E+04 | 1.66E+04 | 1.35E+04 |
| Mean | 1.18E+04 | 1.13E+04 | 1.74E+04 | 1.07E+04 | 1.45E+04 | 8.06E+03 | |
| Min | 8.88E+03 | 9.73E+03 | 1.55E+04 | 2.83E+03 | 4.99E+03 | 2.43E+03 | |
| p-value | 8.20E−07 | 1.43E−05 | 3.02E−11 | 1.17E−03 | 4.20E−10 | 1.00E+00 | |
| Std | 1.19E+03 | 1.39E+03 | 8.75E+02 | 1.82E+03 | 2.16E+03 | 3.64E+03 | |
| F23 | Max | 3.98E+03 | 4.35E+03 | 4.40E+03 | 3.17E+03 | 3.51E+03 | 3.27E+03 |
| Mean | 3.59E+03 | 3.86E+03 | 4.16E+03 | 3.06E+03 | 3.22E+03 | 3.10E+03 | |
| Min | 3.38E+03 | 3.36E+03 | 3.85E+03 | 2.96E+03 | 3.09E+03 | 2.98E+03 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 2.61E−02 | 2.03E−07 | 1.00E+00 | |
| Std | 1.46E+02 | 2.54E+02 | 1.64E+02 | 5.67E+01 | 8.93E+01 | 6.74E+01 | |
| F24 | Max | 4.27E+03 | 4.17E+03 | 4.71E+03 | 3.35E+03 | 3.66E+03 | 3.46E+03 |
| Mean | 3.88E+03 | 3.83E+03 | 4.29E+03 | 3.24E+03 | 3.43E+03 | 3.29E+03 | |
| Min | 3.53E+03 | 3.46E+03 | 3.81E+03 | 3.13E+03 | 3.22E+03 | 3.14E+03 | |
| p-value | 3.02E−11 | 3.34E−11 | 3.02E−11 | 4.64E−03 | 5.61E−05 | 1.00E+00 | |
| Std | 1.75E+02 | 1.57E+02 | 2.05E+02 | 6.16E+01 | 1.27E+02 | 8.06E+01 | |
| F25 | Max | 5.20E+03 | 1.55E+04 | 2.46E+04 | 3.51E+03 | 4.69E+03 | 3.50E+03 |
| Mean | 4.28E+03 | 6.95E+03 | 1.58E+04 | 3.28E+03 | 4.06E+03 | 3.28E+03 | |
| Min | 3.63E+03 | 4.32E+03 | 9.97E+03 | 3.15E+03 | 3.50E+03 | 3.15E+03 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 7.39E−01 | 3.34E−11 | 1.00E+00 | |
| Std | 4.18E+02 | 3.42E+03 | 2.93E+03 | 9.70E+01 | 3.57E+02 | 9.20E+01 | |
| F26 | Max | 1.38E+04 | 1.83E+04 | 2.06E+04 | 8.53E+03 | 1.38E+04 | 1.16E+04 |
| Mean | 1.21E+04 | 1.34E+04 | 1.78E+04 | 7.28E+03 | 1.15E+04 | 6.53E+03 | |
| Min | 8.08E+03 | 1.06E+04 | 1.47E+04 | 6.24E+03 | 7.10E+03 | 3.60E+03 | |
| p-value | 9.76E−10 | 5.49E−11 | 3.02E−11 | 1.19E−01 | 1.31E−08 | 1.00E+00 | |
| Std | 1.27E+03 | 1.88E+03 | 1.65E+03 | 5.85E+02 | 1.75E+03 | 2.65E+03 | |
| F27 | Max | 6.03E+03 | 5.40E+03 | 7.11E+03 | 3.92E+03 | 4.55E+03 | 4.13E+03 |
| Mean | 4.54E+03 | 4.32E+03 | 5.70E+03 | 3.73E+03 | 4.10E+03 | 3.85E+03 | |
| Min | 3.78E+03 | 3.69E+03 | 4.39E+03 | 3.56E+03 | 3.58E+03 | 3.64E+03 | |
| p-value | 9.76E−10 | 6.53E−07 | 3.02E−11 | 4.71E−04 | 2.32E−06 | 1.00E+00 | |
| Std | 4.45E+02 | 4.33E+02 | 6.71E+02 | 1.14E+02 | 2.07E+02 | 1.22E+02 | |
| F28 | Max | 6.08E+03 | 9.35E+03 | 1.40E+04 | 4.07E+03 | 5.43E+03 | 3.85E+03 |
| Mean | 5.21E+03 | 5.98E+03 | 1.22E+04 | 3.81E+03 | 4.60E+03 | 3.63E+03 | |
| Min | 4.16E+03 | 4.36E+03 | 9.86E+03 | 3.48E+03 | 4.11E+03 | 3.43E+03 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 5.09E−06 | 3.02E−11 | 1.00E+00 | |
| Std | 4.30E+02 | 9.30E+02 | 1.07E+03 | 1.55E+02 | 3.51E+02 | 9.41E+01 | |
| F29 | Max | 1.26E+04 | 1.84E+04 | 1.92E+05 | 5.35E+03 | 6.09E+03 | 5.57E+03 |
| Mean | 8.38E+03 | 7.63E+03 | 4.43E+04 | 4.63E+03 | 5.32E+03 | 4.86E+03 | |
| Min | 6.18E+03 | 4.96E+03 | 9.47E+03 | 3.97E+03 | 4.87E+03 | 4.20E+03 | |
| p-value | 3.02E−11 | 1.09E−10 | 3.02E−11 | 1.50E−02 | 2.88E−06 | 1.00E+00 | |
| Std | 1.34E+03 | 2.69E+03 | 4.72E+04 | 3.41E+02 | 2.70E+02 | 3.41E+02 | |
| F30 | Max | 5.60E+08 | 1.80E+09 | 1.01E+10 | 1.22E+07 | 9.11E+07 | 3.88E+07 |
| Mean | 2.85E+08 | 1.96E+08 | 4.97E+09 | 7.02E+06 | 4.73E+07 | 1.85E+07 | |
| Min | 1.04E+08 | 3.02E+07 | 1.55E+09 | 3.65E+06 | 1.73E+07 | 9.72E+06 | |
| p-value | 3.02E−11 | 3.69E−11 | 3.02E−11 | 1.09E−10 | 8.89E−10 | 1.00E+00 | |
| Std | 1.29E+08 | 4.16E+08 | 2.31E+09 | 2.12E+06 | 1.89E+07 | 6.77E+06 |