Table 8.
Comparison results of VGHHO using different k and n values on 18 functions with 30D
| Function | k = 0.1, n = 0.1 | k = 0.5, n = 0.5 | k = 1.0, n = 1.0 | k = 1.5, n = 1.5 | k = 2.0, n = 2.0 | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| Mean | Std | Mean | Std | Mean | Std | Mean | Std | Mean | Std | |
| f1 | 1.07E-92 | 2.40E-92 | 4.90E-185 | 0 | 1.91E-298 | 0 | 0 | 0 | 0 | 0 |
| f2 | 3.89E-55 | 8.28E-55 | 2.32E-98 | 2.14E-98 | 2.19E-142 | 3.21E-142 | 2.79E-235 | 0 | 0 | 0 |
| f3 | 1.43E-51 | 2.79E-51 | 8.55E-99 | 1.31E-98 | 6.82E-138 | 7.25E-138 | 5.88E-230 | 0 | 0 | 0 |
| f4 | 6.62E-01 | 3.97E-01 | 7.32E-02 | 1.12E-01 | 2.30E-02 | 4.28E-02 | 1.71E-02 | 2.17E-02 | 4.40E-03 | 4.43E-03 |
| f5 | 2.35E-03 | 1.83E-03 | 3.73E-04 | 7.04E-04 | 3.51E-04 | 2.53E-04 | 5.00E-05 | 4.61E-05 | 5.17E-06 | 1.15E-05 |
| f6 | 1.17E-98 | 2.61E-98 | 2.96E-196 | 0 | 3.30E-293 | 0 | 0 | 0 | 0 | 0 |
| f7 | 9.85E-135 | 1.78E-134 | 3.71E-262 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| f8 | 7.44E-97 | 1.66E-96 | 3.94E-185 | 0 | 2.59E-288 | 0 | 0 | 0 | 0 | 0 |
| f9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| f10 | 8.88E-16 | 0 | 8.88E-16 | 0 | 8.88E-16 | 0 | 8.88E-16 | 0 | 8.88E-16 | 0 |
| f11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| f12 | 8.98E-58 | 2.01E-57 | 1.08E-101 | 9.61E-100 | 2.20E-149 | 7.15E-150 | 2.66E-237 | 0 | 0 | 0 |
| f13 | 1.10E-95 | 2.47E-95 | 4.00E-180 | 0 | 6.52E-288 | 0 | 0 | 0 | 0 | 0 |
| f14 | 3.64E-36 | 8.14E-36 | 2.37E-93 | 3.75E-93 | 3.72E-144 | 3.89E-144 | 0 | 0 | 0 | 0 |
| f15 | 1.12E-112 | 2.20E-112 | 2.48E-197 | 0 | 3.21E-292 | 0 | 0 | 0 | 0 | 0 |
| f16 | 5.10E-106 | 1.14E-105 | 6.92E-194 | 0 | 8.59E-285 | 0 | 0 | 0 | 0 | 0 |
| f17 | 2.06E-29 | 3.16E-29 | 2.79E-50 | 5.44E-50 | 3.36E-72 | 4.94E-72 | 0 | 0 | 0 | 0 |
| f18 | 9.13E-238 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
The best value of each function is highlighted in bold in the table