Table 2 Optimization results of different algorithms.
From: Hybrid strategy enhanced crayfish optimization algorithm for breast cancer prediction
Function | Result | MSCOA | COA | DBO | SABO | GWO | WWPA | CDO | LPO | APO |
|---|---|---|---|---|---|---|---|---|---|---|
F1 | min | 0 | 0 | 1.29E-106 | 6.66E-123 | 6.42E-37 | 1.26E-04 | 1.11E-103 | 3.58E+02 | 2.32E-15 |
std | 0 | 0 | 6.97E-66 | 6.88E-116 | 9.43E-33 | 2.32E+00 | 5.83E-91 | 3.81E+02 | 2.09E-12 | |
avg | 0 | 0 | 1.38E-66 | 1.29E-116 | 3.20E-33 | 1.65E+00 | 1.64E-91 | 1.07E+03 | 8.94E-13 | |
F2 | min | 0 | 0 | 7.96E-53 | 5.30E-67 | 4.02E-21 | 1.34E-02 | 6.35E-51 | 7.14E+00 | 1.66E-08 |
std | 0 | 0 | 7.45E-28 | 7.82E-65 | 3.17E-19 | 6.25E+00 | 7.25E-47 | 3.31E+00 | 4.60E-08 | |
avg | 0 | 1.17E-267 | 1.36E-28 | 3.51E-65 | 1.43E-19 | 4.27E+00 | 2.84E-47 | 1.26E+01 | 6.80E-08 | |
F3 | min | 0 | 0 | 5.94E-94 | 6.56E-68 | 1.32E-17 | 2.09E-01 | 1.53E-95 | 1.43E+03 | 1.31E-06 |
std | 0 | 0 | 6.00E-51 | 5.33E-47 | 2.88E-13 | 1.08E+02 | 1.91E-82 | 1.33E+03 | 1.10E-04 | |
avg | 0 | 0 | 1.18E-51 | 9.73E-48 | 8.19E-14 | 6.49E+01 | 3.50E-83 | 3.45E+03 | 1.13E-04 | |
F4 | min | 0 | 0 | 1.69E-53 | 1.34E-51 | 1.91E-12 | 5.10E-03 | 2.38E-47 | 1.81E+01 | 5.00E-05 |
std | 0 | 0 | 1.53E-22 | 4.35E-50 | 1.25E-10 | 3.06E-01 | 9.27E-43 | 4.98E+00 | 1.59E-04 | |
avg | 0 | 1.36E-239 | 2.80E-23 | 3.14E-50 | 1.05E-10 | 3.80E-01 | 3.80E-43 | 2.53E+01 | 2.14E-04 | |
F5 | min | 1 | 1 | 1 | 1 | 1 | 1.02E+00 | 1 | 2.84E+07 | 3.48E+02 |
std | 0 | 0 | 1.28E+06 | 5.40E-03 | 1.32E+05 | 2.03E+02 | 0 | 5.88E+07 | 6.32E+04 | |
avg | 1 | 1 | 4.51E+05 | 1.00E+00 | 6.23E+04 | 7.89E+01 | 1 | 1.13E+08 | 5.82E+04 | |
F6 | min | 4.24E+00 | 4.22E+00 | 4.27E+00 | 4.25E+00 | 3.47E+01 | 5.05E+00 | 5 | 6.35E+03 | 1.03E+02 |
std | 0 | 1.85E-01 | 1.43E+03 | 1.12E+01 | 2.99E+02 | 3.31E+00 | 0 | 2.46E+03 | 1.51E+02 | |
avg | 4.98E+00 | 4.95E+00 | 1.01E+03 | 9.76E+00 | 4.83E+02 | 8.23E+00 | 5 | 1.05E+04 | 3.23E+02 | |
F7 | min | 4.26E-07 | 6.86E-06 | 4.99E-05 | 2.45E-05 | 2.82E-04 | 3.40E-03 | 1.00E-05 | 1.04E-01 | 7.18E-04 |
std | 7.98E-05 | 1.14E-04 | 0.0014 | 1.01E-04 | 7.01E-04 | 4.20E+00 | 1.72E-04 | 1.35E-01 | 1.01E-03 | |
avg | 1.01E-04 | 1.16E-04 | 1.60E-03 | 1.51E-04 | 1.30E-03 | 2.42E+00 | 2.28E-04 | 2.62E-01 | 2.29E-03 | |
F8 | min | 0 | 0 | 0 | 0 | 0 | 4.10E-03 | 2.37E+01 | 3.10E+01 | 2.46E-01 |
std | 0 | 0 | 5.05E+00 | 0 | 2.28E+00 | 2.76E+01 | 7.64E+00 | 1.11E+01 | 1.03E+00 | |
avg | 0 | 0 | 1.36E+00 | 0 | 1.62E+00 | 2.61E+01 | 4.30E+01 | 6.53E+01 | 2.32E+00 | |
F9 | min | 4.44E-16 | 4.44E-16 | 4.44E-16 | 4.44E-16 | 1.82E-14 | 4.12E-02 | 4.00E-15 | 1.22E+01 | 2.56E-08 |
std | 0 | 0 | 0 | 1.08E-15 | 5.65E-15 | 1.76E+00 | 0 | 1.83E+00 | 1.30E-07 | |
avg | 4.44E-16 | 4.44E-16 | 4.44E-16 | 3.64E-15 | 2.72E-14 | 2.69E+00 | 4.00E-15 | 1.55E+01 | 1.60E-07 | |
F10 | min | 0 | 0 | 0 | 0 | 0 | 2.60E-03 | 0 | 3.25E+00 | 1.17E-09 |
std | 0 | 0 | 1.94E-02 | 9.70E-02 | 3.48E-02 | 2.44E-01 | 2.46E-01 | 4.52E+00 | 7.31E-03 | |
avg | 0 | 0 | 6.90E-03 | 1.77E-02 | 3.44E-02 | 2.48E-01 | 1.31E-01 | 1.29E+01 | 7.31E-03 | |
F11 | min | 6.45E+00 | 4.70E+00 | 1.41E+00 | 5.56E+00 | 1.00E+00 | 8.36E+00 | 4.42E+00 | 1.06E+01 | 1.92E+00 |
std | 7.21E-01 | 1.75E+00 | 1.87E+00 | 6.70E-01 | 1.2581 | 8.34E-01 | 7.73E-01 | 7.89E-01 | 4.27E-01 | |
avg | 7.66E+00 | 7.74E+00 | 4.38E+00 | 7.49E+00 | 2.63E+00 | 1.01E+01 | 6.14E+00 | 1.16E+01 | 2.86E+00 | |
F12 | min | 3.55E+01 | 1.19E+01 | 1.09E+01 | 3.58E+01 | 7.03E+00 | 1.26E+02 | 5.90E+01 | 5.31E+01 | 3.14E+00 |
std | 7.95E+00 | 3.14E+01 | 1.49E+01 | 1.20E+01 | 1.02E+01 | 8.47E+00 | 6.33E+00 | 9.28E+00 | 1.58E+00 | |
avg | 6.86E+01 | 4.84E+01 | 3.54E+01 | 5.29E+01 | 2.06E+01 | 1.46E+02 | 7.54E+01 | 6.82E+01 | 5.79E+00 | |
F13 | min | −1.03E+00 | −1.03E+00 | −1.03E+00 | −1.03E+00 | −1.03E+00 | −9.53E-01 | −1.02E+00 | −1.03E+00 | −1.03E+00 |
std | 2.90E-06 | 1.37E-13 | 5.83E-16 | 2.61E-02 | 7.50E-08 | 1.37E+00 | 5.60E-03 | 4.47E-03 | 4.42E-15 | |
avg | −1.03E+00 | −1.03E+00 | −1.03E+00 | −1.02E+00 | −1.03E+00 | 1.90E-01 | −1.00E+00 | −1.03E+00 | −1.03E+00 | |
F14 | min | 3.00E+00 | 3.00E+00 | 3.00E+00 | 3.0039 | 3.00E+00 | 3.13E+00 | 3.00E+00 | 3.00E+00 | 3.00E+00 |
std | 3.90E-03 | 4.55E-10 | 3.22E-15 | 3.27E+00 | 1.48E+01 | 9.07E+01 | 3.37E+01 | 6.21E-02 | 1.25E-15 | |
avg | 3.00E+00 | 3.00E+00 | 3.00E+00 | 4.42E+00 | 5.70E+00 | 6.09E+01 | 4.05E+01 | 3.05E+00 | 3.00E+00 | |
F15 | min | 2.04E+01 | 2.10E+01 | 2.12E+01 | 2.10E+01 | 2.07E+01 | 2.14E+01 | 2.12E+01 | 2.15E+01 | 21.0122 |
std | 7.41E-02 | 1.98E+00 | 1.77E-01 | 8.74E-02 | 3.21E+00 | 1.44E-01 | 1.00E-01 | 1.19E-01 | 3.54E+00 | |
avg | 2.15E+01 | 2.11E+01 | 2.14E+01 | 2.15E+01 | 2.10E+01 | 2.17E+01 | 2.15E+01 | 2.18E+01 | 1.99E+01 | |
F16 | min | −3.86E+00 | −3.86E+00 | −3.86E+00 | −3.86E+00 | −3.86E+00 | −3.73E+00 | −3.86E+00 | −3.86E+00 | −3.86E+00 |
std | 1.40E-03 | 1.41E-01 | 3.00E-03 | 2.01E-01 | 2.40E-03 | 6.29E-01 | 4.20E-03 | 6.19E-04 | 2.71E-15 | |
avg | −3.86E+00 | −3.84E+00 | −3.86E+00 | −3.67E+00 | −3.86E+00 | −2.38E+00 | −3.86E+00 | −3.86E+00 | −3.86E+00 | |
F17 | min | −4.8386 | −1.05E+01 | −1.05E+01 | −9.3738 | −1.05E+01 | −1.05E+01 | −9.10E+00 | −8.35E+00 | −1.05E+01 |
std | 7.15E-01 | 3.08E+00 | 2.92E+00 | 1.26E+00 | 1.79E+00 | 2.04E+00 | 1.45E+00 | 1.69E+00 | 1.70E+00 | |
avg | −3.46E+00 | −6.79E+00 | −8.71E+00 | −4.90E+00 | −9.95E+00 | −5.23E+00 | −5.73E+00 | −3.90E+00 | −1.01E+01 |