Table A2.
Comparison of 6 algorithms of 100 dimensions.
| Dim = 100 | |||||||
| HO | BKA | CFOA | SWO | COA | ISWO | ||
| F1 | Max | 8.96E+10 | 1.97E+11 | 3.27E+11 | 2.48E+10 | 1.13E+11 | 2.77E+10 |
| Mean | 7.48E+10 | 1.42E+11 | 2.84E+11 | 1.78E+10 | 7.44E+10 | 1.51E+10 | |
| Min | 5.02E+10 | 1.18E+11 | 2.23E+11 | 9.52E+09 | 5.34E+10 | 6.66E+09 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 6.97E−03 | 3.02E−11 | 1.00E+00 | |
| Std | 9.22E+09 | 1.57E+10 | 2.79E+10 | 3.43E+09 | 1.51E+10 | 4.73E+09 | |
| F2 | Max | 3.74E+159 | 9.52E+166 | 3.15E+186 | 4.74E+133 | 2.86E+143 | 3.68E+128 |
| Mean | 1.32E+158 | 3.18E+165 | 1.17E+185 | 1.58E+132 | 1.04E+142 | 1.24E+127 | |
| Min | 4.37E+138 | 1.35E+123 | 4.32E+166 | 1.27E+113 | 7.59E+120 | 8.53E+109 | |
| p-value | 3.02E−11 | 6.70E−11 | 3.02E−11 | 1.56E−02 | 1.09E−10 | 1.00E+00 | |
| Std | Infinity | Infinity | Infinity | 8.66E+132 | 5.22E+142 | 6.71E+127 | |
| F3 | Max | 3.35E+05 | 4.52E+05 | 1.65E+06 | 3.91E+05 | 7.38E+05 | 3.27E+05 |
| Mean | 3.17E+05 | 2.83E+05 | 1.03E+06 | 3.30E+05 | 5.35E+05 | 2.74E+05 | |
| Min | 2.85E+05 | 2.25E+05 | 5.65E+05 | 2.76E+05 | 3.96E+05 | 1.99E+05 | |
| p-value | 4.31E−08 | 9.00E−01 | 3.02E−11 | 5.09E−08 | 3.02E−11 | 1.00E+00 | |
| Std | 1.46E+04 | 4.78E+04 | 2.87E+05 | 3.34E+04 | 8.14E+04 | 2.86E+04 | |
| F4 | Max | 1.53E+04 | 7.16E+04 | 1.40E+05 | 3.59E+03 | 2.29E+04 | 4.68E+03 |
| Mean | 1.23E+04 | 2.57E+04 | 9.50E+04 | 2.68E+03 | 1.12E+04 | 2.61E+03 | |
| Min | 9.63E+03 | 1.32E+04 | 7.37E+04 | 1.89E+03 | 5.45E+03 | 1.53E+03 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 3.87E−01 | 3.02E−11 | 1.00E+00 | |
| Std | 1.38E+03 | 1.30E+04 | 1.65E+04 | 3.99E+02 | 4.27E+03 | 6.71E+02 | |
| F5 | Max | 1.64E+03 | 2.14E+03 | 2.33E+03 | 1.54E+03 | 1.66E+03 | 1.49E+03 |
| Mean | 1.54E+03 | 1.60E+03 | 2.19E+03 | 1.35E+03 | 1.53E+03 | 1.36E+03 | |
| Min | 1.47E+03 | 1.37E+03 | 2.08E+03 | 1.15E+03 | 1.47E+03 | 1.20E+03 | |
| p-value | 6.70E−11 | 1.07E−09 | 3.02E−11 | 6.00E−01 | 1.21E−10 | 1.00E+00 | |
| Std | 4.18E+01 | 2.06E+02 | 7.69E+01 | 9.20E+01 | 4.91E+01 | 8.17E+01 | |
| F6 | Max | 6.88E+02 | 6.96E+02 | 7.27E+02 | 6.53E+02 | 6.80E+02 | 6.75E+02 |
| Mean | 6.82E+02 | 6.79E+02 | 7.15E+02 | 6.42E+02 | 6.74E+02 | 6.65E+02 | |
| Min | 6.74E+02 | 6.69E+02 | 6.95E+02 | 6.31E+02 | 6.69E+02 | 6.52E+02 | |
| p-value | 3.34E−11 | 2.61E−10 | 3.02E−11 | 3.34E−11 | 1.20E−08 | 1.00E+00 | |
| Std | 3.25E+00 | 4.91E+00 | 6.64E+00 | 5.64E+00 | 2.56E+00 | 5.97E+00 | |
| F7 | Max | 3.61E+03 | 4.05E+03 | 6.05E+03 | 3.00E+03 | 3.66E+03 | 3.10E+03 |
| Mean | 3.43E+03 | 3.35E+03 | 5.29E+03 | 2.41E+03 | 3.41E+03 | 2.68E+03 | |
| Min | 3.30E+03 | 3.15E+03 | 4.60E+03 | 1.92E+03 | 3.11E+03 | 2.30E+03 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 3.83E−06 | 3.02E−11 | 1.00E+00 | |
| Std | 8.75E+01 | 2.02E+02 | 3.68E+02 | 2.08E+02 | 1.23E+02 | 1.83E+02 | |
| F8 | Max | 2.10E+03 | 2.57E+03 | 2.84E+03 | 1.82E+03 | 2.15E+03 | 1.95E+03 |
| Mean | 1.97E+03 | 2.06E+03 | 2.61E+03 | 1.66E+03 | 2.03E+03 | 1.72E+03 | |
| Min | 1.75E+03 | 1.82E+03 | 2.40E+03 | 1.48E+03 | 1.90E+03 | 1.51E+03 | |
| p-value | 5.57E−10 | 1.78E−10 | 3.02E−11 | 1.12E−02 | 3.69E−11 | 1.00E+00 | |
| Std | 8.79E+01 | 1.91E+02 | 9.66E+01 | 8.53E+01 | 5.40E+01 | 9.55E+01 | |
| F9 | Max | 5.27E+04 | 8.84E+04 | 1.32E+05 | 7.75E+04 | 7.33E+04 | 5.24E+04 |
| Mean | 4.48E+04 | 4.11E+04 | 1.00E+05 | 4.36E+04 | 4.51E+04 | 3.77E+04 | |
| Min | 3.59E+04 | 3.11E+04 | 7.53E+04 | 2.30E+04 | 3.24E+04 | 2.32E+04 | |
| p-value | 8.66E−05 | 5.69E−01 | 3.02E−11 | 2.46E−01 | 6.10E−03 | 1.00E+00 | |
| Std | 4.65E+03 | 1.61E+04 | 1.40E+04 | 1.40E+04 | 1.06E+04 | 6.98E+03 | |
| F10 | Max | 2.35E+04 | 3.20E+04 | 3.57E+04 | 2.97E+04 | 3.02E+04 | 2.13E+04 |
| Mean | 2.13E+04 | 2.19E+04 | 3.35E+04 | 2.36E+04 | 2.51E+04 | 1.88E+04 | |
| Min | 1.80E+04 | 1.77E+04 | 3.11E+04 | 1.86E+04 | 1.95E+04 | 1.49E+04 | |
| p-value | 7.09E−08 | 1.89E−04 | 3.02E−11 | 2.03E−09 | 1.61E−10 | 1.00E+00 | |
| Std | 1.25E+03 | 4.32E+03 | 1.31E+03 | 2.50E+03 | 2.86E+03 | 1.54E+03 | |
| F11 | Max | 1.41E+05 | 2.14E+05 | 1.04E+06 | 9.54E+04 | 2.66E+05 | 6.54E+04 |
| Mean | 1.13E+05 | 9.08E+04 | 5.49E+05 | 5.93E+04 | 1.75E+05 | 4.02E+04 | |
| Min | 8.72E+04 | 5.02E+04 | 3.08E+05 | 4.12E+04 | 1.30E+05 | 1.83E+04 | |
| p-value | 3.02E−11 | 1.96E−10 | 3.02E−11 | 2.78E−07 | 3.02E−11 | 1.00E+00 | |
| Std | 1.68E+04 | 4.62E+04 | 1.78E+05 | 1.18E+04 | 3.50E+04 | 1.06E+04 | |
| F12 | Max | 2.17E+10 | 1.82E+11 | 2.01E+11 | 2.11E+09 | 4.23E+10 | 3.09E+09 |
| Mean | 1.57E+10 | 5.99E+10 | 1.61E+11 | 1.34E+09 | 1.85E+10 | 1.11E+09 | |
| Min | 8.91E+09 | 2.27E+10 | 1.12E+11 | 8.21E+08 | 2.99E+09 | 5.12E+08 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 7.96E−03 | 3.34E−11 | 1.00E+00 | |
| Std | 3.49E+09 | 3.74E+10 | 2.39E+10 | 3.89E+08 | 1.07E+10 | 5.46E+08 | |
| F13 | Max | 1.47E+09 | 4.07E+10 | 5.34E+10 | 2.55E+06 | 3.28E+09 | 5.13E+06 |
| Mean | 5.06E+08 | 8.49E+09 | 3.98E+10 | 1.08E+06 | 7.77E+08 | 8.92E+05 | |
| Min | 8.12E+07 | 1.95E+09 | 2.93E+10 | 2.69E+05 | 3.26E+06 | 6.90E+04 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 1.17E−03 | 4.08E−11 | 1.00E+00 | |
| Std | 3.45E+08 | 8.78E+09 | 6.65E+09 | 6.21E+05 | 9.26E+08 | 1.36E+06 | |
| F14 | Max | 1.75E+07 | 4.03E+07 | 1.93E+08 | 6.15E+06 | 1.79E+07 | 2.32E+06 |
| Mean | 8.27E+06 | 4.80E+06 | 1.13E+08 | 2.54E+06 | 9.94E+06 | 1.04E+06 | |
| Min | 2.61E+06 | 6.12E+05 | 3.90E+07 | 2.82E+05 | 2.20E+06 | 2.86E+05 | |
| p-value | 3.02E−11 | 1.00E−03 | 3.02E−11 | 5.09E−06 | 3.34E−11 | 1.00E+00 | |
| Std | 3.79E+06 | 9.24E+06 | 4.50E+07 | 1.54E+06 | 4.25E+06 | 4.64E+05 | |
| F15 | Max | 6.68E+07 | 3.13E+10 | 2.45E+10 | 8.78E+04 | 1.52E+09 | 9.59E+04 |
| Mean | 4.67E+06 | 2.35E+09 | 1.73E+10 | 2.62E+04 | 9.29E+07 | 3.03E+04 | |
| Min | 1.66E+05 | 1.37E+06 | 8.72E+09 | 1.08E+04 | 1.47E+05 | 1.24E+04 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 8.77E−02 | 3.02E−11 | 1.00E+00 | |
| Std | 1.28E+07 | 6.12E+09 | 3.94E+09 | 1.60E+04 | 3.04E+08 | 1.54E+04 | |
| F16 | Max | 1.38E+04 | 1.31E+04 | 2.58E+04 | 8.63E+03 | 1.18E+04 | 8.14E+03 |
| Mean | 1.13E+04 | 1.04E+04 | 2.02E+04 | 7.33E+03 | 8.88E+03 | 6.47E+03 | |
| Min | 7.79E+03 | 7.60E+03 | 1.53E+04 | 6.38E+03 | 6.77E+03 | 5.37E+03 | |
| p-value | 3.69E−11 | 4.08E−11 | 3.02E−11 | 1.25E−05 | 1.55E−09 | 1.00E+00 | |
| Std | 1.43E+03 | 1.41E+03 | 2.65E+03 | 6.46E+02 | 1.40E+03 | 6.95E+02 | |
| F17 | Max | 1.09E+04 | 1.85E+06 | 1.03E+07 | 6.15E+03 | 8.34E+03 | 6.16E+03 |
| Mean | 8.03E+03 | 1.06E+05 | 2.76E+06 | 5.29E+03 | 6.10E+03 | 5.45E+03 | |
| Min | 6.48E+03 | 5.62E+03 | 2.66E+05 | 4.70E+03 | 4.47E+03 | 4.56E+03 | |
| p-value | 3.02E−11 | 2.15E−10 | 3.02E−11 | 2.17E−01 | 6.67E−03 | 1.00E+00 | |
| Std | 1.16E+03 | 3.60E+05 | 2.39E+06 | 4.29E+02 | 9.41E+02 | 5.15E+02 | |
| F18 | Max | 1.39E+07 | 5.51E+07 | 4.42E+08 | 9.87E+06 | 2.68E+07 | 3.77E+06 |
| Mean | 6.70E+06 | 5.47E+06 | 1.75E+08 | 3.69E+06 | 9.98E+06 | 1.39E+06 | |
| Min | 1.46E+06 | 6.61E+05 | 6.54E+07 | 1.39E+06 | 3.07E+06 | 4.34E+05 | |
| p-value | 2.61E−10 | 4.35E−05 | 3.02E−11 | 2.83E−08 | 4.50E−11 | 1.00E+00 | |
| Std | 3.20E+06 | 1.08E+07 | 7.32E+07 | 2.02E+06 | 6.29E+06 | 6.98E+05 | |
| F19 | Max | 1.88E+08 | 4.48E+09 | 3.05E+10 | 1.46E+05 | 2.53E+08 | 7.55E+05 |
| Mean | 4.00E+07 | 8.88E+08 | 1.89E+10 | 5.36E+04 | 1.78E+07 | 2.06E+05 | |
| Min | 1.87E+06 | 1.91E+07 | 9.67E+09 | 9.66E+03 | 9.77E+05 | 2.01E+04 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 1.29E−06 | 3.02E−11 | 1.00E+00 | |
| Std | 4.23E+07 | 1.11E+09 | 5.30E+09 | 3.71E+04 | 4.54E+07 | 1.80E+05 | |
| F20 | Max | 6.38E+03 | 7.66E+03 | 9.29E+03 | 6.94E+03 | 7.70E+03 | 6.06E+03 |
| Mean | 5.65E+03 | 5.62E+03 | 8.42E+03 | 5.63E+03 | 7.04E+03 | 5.28E+03 | |
| Min | 4.62E+03 | 4.63E+03 | 7.26E+03 | 4.44E+03 | 6.16E+03 | 4.15E+03 | |
| p-value | 3.85E−03 | 5.55E−02 | 3.02E−11 | 4.36E−02 | 3.02E−11 | 1.00E+00 | |
| Std | 4.39E+02 | 6.46E+02 | 5.66E+02 | 6.36E+02 | 3.82E+02 | 4.82E+02 | |
| F21 | Max | 4.41E+03 | 4.70E+03 | 5.17E+03 | 3.37E+03 | 3.84E+03 | 3.35E+03 |
| Mean | 3.85E+03 | 4.13E+03 | 4.74E+03 | 3.18E+03 | 3.39E+03 | 3.14E+03 | |
| Min | 3.45E+03 | 3.63E+03 | 4.34E+03 | 3.01E+03 | 3.16E+03 | 2.96E+03 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 1.22E−01 | 2.23E−09 | 1.00E+00 | |
| Std | 1.71E+02 | 2.28E+02 | 1.82E+02 | 1.02E+02 | 1.52E+02 | 9.74E+01 | |
| F22 | Max | 2.71E+04 | 3.46E+04 | 3.80E+04 | 3.02E+04 | 3.39E+04 | 2.55E+04 |
| Mean | 2.46E+04 | 2.37E+04 | 3.59E+04 | 2.55E+04 | 2.92E+04 | 2.23E+04 | |
| Min | 2.20E+04 | 2.02E+04 | 3.33E+04 | 2.15E+04 | 2.37E+04 | 8.03E+03 | |
| p-value | 2.49E−06 | 3.04E−01 | 3.02E−11 | 7.60E−07 | 1.21E−10 | 1.00E+00 | |
| Std | 1.32E+03 | 3.26E+03 | 1.34E+03 | 2.19E+03 | 2.84E+03 | 2.90E+03 | |
| F23 | Max | 5.61E+03 | 6.11E+03 | 6.30E+03 | 3.95E+03 | 4.50E+03 | 4.37E+03 |
| Mean | 5.04E+03 | 5.18E+03 | 5.80E+03 | 3.78E+03 | 4.14E+03 | 3.93E+03 | |
| Min | 4.30E+03 | 4.41E+03 | 5.30E+03 | 3.59E+03 | 3.77E+03 | 3.67E+03 | |
| p-value | 3.34E−11 | 3.02E−11 | 3.02E−11 | 1.09E−05 | 3.83E−06 | 1.00E+00 | |
| Std | 3.59E+02 | 3.90E+02 | 2.51E+02 | 8.41E+01 | 1.63E+02 | 1.42E+02 | |
| F24 | Max | 9.17E+03 | 8.62E+03 | 9.74E+03 | 4.90E+03 | 8.03E+03 | 5.74E+03 |
| Mean | 7.00E+03 | 6.85E+03 | 8.76E+03 | 4.57E+03 | 5.99E+03 | 5.12E+03 | |
| Min | 5.33E+03 | 5.89E+03 | 7.74E+03 | 4.38E+03 | 5.10E+03 | 4.69E+03 | |
| p-value | 5.49E−11 | 3.02E−11 | 3.02E−11 | 8.89E−10 | 1.43E−08 | 1.00E+00 | |
| Std | 7.70E+02 | 6.40E+02 | 5.86E+02 | 1.43E+02 | 7.07E+02 | 2.96E+02 | |
| F25 | Max | 8.56E+03 | 2.65E+04 | 4.31E+04 | 6.23E+03 | 1.21E+04 | 6.01E+03 |
| Mean | 7.58E+03 | 1.34E+04 | 3.41E+04 | 5.36E+03 | 8.89E+03 | 5.00E+03 | |
| Min | 6.48E+03 | 8.74E+03 | 2.64E+04 | 4.63E+03 | 6.37E+03 | 4.30E+03 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 4.71E−04 | 3.02E−11 | 1.00E+00 | |
| Std | 5.09E+02 | 4.38E+03 | 4.47E+03 | 3.58E+02 | 1.36E+03 | 4.21E+02 | |
| F26 | Max | 3.75E+04 | 5.74E+04 | 6.64E+04 | 2.27E+04 | 3.96E+04 | 2.97E+04 |
| Mean | 3.26E+04 | 3.91E+04 | 5.37E+04 | 1.94E+04 | 3.24E+04 | 2.41E+04 | |
| Min | 2.36E+04 | 2.84E+04 | 4.61E+04 | 1.61E+04 | 2.41E+04 | 1.01E+04 | |
| p-value | 4.57E−09 | 3.34E−11 | 3.02E−11 | 6.05E−07 | 1.55E−09 | 1.00E+00 | |
| Std | 3.49E+03 | 8.08E+03 | 4.50E+03 | 1.65E+03 | 3.48E+03 | 4.49E+03 | |
| F27 | Max | 7.14E+03 | 1.19E+04 | 1.45E+04 | 4.73E+03 | 6.90E+03 | 5.45E+03 |
| Mean | 5.81E+03 | 6.07E+03 | 1.13E+04 | 4.32E+03 | 5.30E+03 | 4.66E+03 | |
| Min | 4.81E+03 | 4.58E+03 | 7.50E+03 | 4.01E+03 | 4.59E+03 | 4.17E+03 | |
| p-value | 3.16E−10 | 1.85E−08 | 3.02E−11 | 1.34E−05 | 2.57E−07 | 1.00E+00 | |
| Std | 5.57E+02 | 1.47E+03 | 1.40E+03 | 1.90E+02 | 5.30E+02 | 3.09E+02 | |
| F28 | Max | 1.27E+04 | 3.61E+04 | 4.26E+04 | 9.20E+03 | 1.43E+04 | 8.54E+03 |
| Mean | 1.09E+04 | 1.89E+04 | 3.65E+04 | 7.10E+03 | 1.14E+04 | 6.37E+03 | |
| Min | 8.32E+03 | 1.35E+04 | 3.09E+04 | 5.73E+03 | 8.32E+03 | 5.18E+03 | |
| p-value | 3.34E−11 | 3.02E−11 | 3.02E−11 | 1.04E−04 | 3.34E−11 | 1.00E+00 | |
| Std | 1.01E+03 | 5.52E+03 | 3.40E+03 | 8.16E+02 | 1.59E+03 | 6.56E+02 | |
| F29 | Max | 2.04E+04 | 1.52E+05 | 1.68E+06 | 9.98E+03 | 1.50E+04 | 1.09E+04 |
| Mean | 1.57E+04 | 2.12E+04 | 4.31E+05 | 8.90E+03 | 1.10E+04 | 9.16E+03 | |
| Min | 1.12E+04 | 1.08E+04 | 4.78E+04 | 8.07E+03 | 7.97E+03 | 7.69E+03 | |
| p-value | 3.02E−11 | 3.34E−11 | 3.02E−11 | 1.54E−01 | 2.20E−07 | 1.00E+00 | |
| Std | 2.28E+03 | 2.95E+04 | 4.24E+05 | 5.65E+02 | 1.46E+03 | 8.07E+02 | |
| F30 | Max | 2.78E+09 | 3.85E+10 | 4.42E+10 | 3.04E+07 | 8.66E+09 | 1.24E+08 |
| Mean | 1.27E+09 | 1.32E+10 | 3.34E+10 | 1.39E+07 | 2.19E+09 | 4.45E+07 | |
| Min | 2.53E+08 | 2.11E+08 | 1.39E+10 | 4.87E+06 | 9.38E+07 | 7.47E+06 | |
| p-value | 3.02E−11 | 3.02E−11 | 3.02E−11 | 3.01E−07 | 1.33E−10 | 1.00E+00 | |
| Std | 6.77E+08 | 1.34E+10 | 7.19E+09 | 7.14E+06 | 2.88E+09 | 3.39E+07 |