Table 2 The results of UM functions.
Algorithm | F1 | F2 | F3 | F4 | F5 | F6 | F7 | |
|---|---|---|---|---|---|---|---|---|
CHOA | Ave | 7.89E−08 | 7.44E−19 | 1.90E−07 | 1.55E−03 | 48.441 | 3.50E−04 | 3.89E−03 |
Std | 7.55E−08 | 6.53E−23 | 1.89E−07 | 1.96E−03 | 39.331 | 3.50E−04 | 3.89E−03 | |
p-value | 0.00033 | 0.0055 | 0.0051 | 0.0073 | 0.0068 | 0.0025 | 0.0030 | |
ULCHOA | Ave | 1.44E−12 | 0.00331 | 1.02E−07 | 1.35E−04 | 51.455 | 8.32E−03 | 1.53E−03 |
Std | 7.53E−09 | 0.00023 | 1.44E−07 | 1.75E−04 | 33.785 | 5.33E−03 | 1.11E−03 | |
p-value | 0.0055 | 0.0044 | 0.0025 | 0.0039 | 0.0056 | 0.0051 | 0.0082 | |
ICHOA | Ave | 6.96E−12 | 2.11E−07 | 1.42E−08 | 1.22E−09 | 48.335 | 1.32E−02 | 3.22E−03 |
Std | 6.44E−08 | 3.33E−08 | 0.0017E−07 | 1.12E−06 | 33.045 | 5.14E−03 | 2.02E−03 | |
p-value | 0.0033 | 0.0035 | 0.0014 | 0.0013 | 0.0055 | 0.0072 | 0.0083 | |
NCHOA | Ave | 2.01E−27 | 2.11E−08 | 3.02E−08 | 1.21E−08 | 47.236 | 1.33E−12 | 1.07E−03 |
Std | 1.21E−55 | 8.42E−07 | 1.25E−06 | 1.11E−07 | 35.443 | 2.55E−06 | 2.51E−03 | |
p-value | 0.0015 | 0.0044 | 0.0025 | 0.0039 | 0.0073 | 0.0051 | 0.0082 | |
DLFCHOA | Ave | 3.11E−40 | 7.11E−22 | 8.11E−09 | 5.33E−08 | 63.222 | 7.25E−06 | 1.49E−03 |
Std | 6.02E−40 | 6.35E−23 | 1.59E−08 | 1.22E−08 | 52.136 | 4.24E−06 | 6.60E−04 | |
p-value | 0.0033 | 0.0044 | 0.0025 | 0.0039 | 0.0056 | 0.0051 | 0.0082 | |
ECHOA | Ave | 6.44E−07 | 5.41E−21 | 8.09E−08 | 1.15E−08 | 76.350 | 2.33E−04 | 3.11E−03 |
Std | 4.11E−07 | 6.44E−23 | 1.11E−06 | 1.11E−06 | 42.753 | 1.55E−05 | 1.55E−03 | |
p-value | 0.0055 | 0.0047 | 0.0032 | 0.0015 | 0.0002 | 0.0017 | 0.00001 | |
TASR-CHOA | Ave | 1.14E−33 | 1.87E−22 | 3.88E−11 | 1.43E−09 | 45.033 | 1.33E−10 | 1.00E−03 |
Std | 0.0000 | 1.54E−35 | 2.34E−11 | 1.01E−09 | 2.441 | 1.25E−07 | 1.05E−04 | |
p-value | NA | NA | NA | NA | NA | NA | NA | |
ARBGA | Ave | 3.85E−14 | 2.42E−16 | 0.0912 | 1.44E−08 | 51.334 | 4.25E−03 | 1.05E−03 |
Std | 4.33 E−14 | 1.33E−16 | 0.1452 | 1.21E−09 | 21.551 | 5.33E−03 | 2.33E−03 | |
p-value | 0.0055 | 0.0055 | 0.0051 | 0.0073 | 0.0057 | 0.0025 | 0.0030 | |
ARWOA | Ave | 10.076E−07 | 0.0336 | 3.88E−07 | 1.33E−06 | 73.352 | 1.11E−13 | 7.29E−03 |
Std | 7.00E−07 | 0.0022 | 1.44E−07 | 1.25E−06 | 33. 624 | 2.44E−09 | 1.04E−03 | |
p-value | 0.0044 | 0.0055 | 0.0051 | 0.0073 | 0.0068 | 0.0025 | 0.0030 | |
SHADE | Ave | 1.29E−30 | 2.33E−19 | 2.22E−04 | 1.43E−11 | 45.244 | 8.33E−10 | 3.05E−03 |
Std | 2.11E−37 | 1.45E−12 | 1.10E−05 | 6.33E−09 | 32.773 | 1.44E−07 | 1.03E−03 | |
p-value | 0.0055 | 0.0044 | 0.0025 | 0.0041 | 0.0056 | 0.0077 | 0.0082 | |
CMA-ES | Ave | 2.02E−31 | 0.00E+00 | 1.25E−09 | 2.09E−09 | 47.336 | 5.02E−16 | 3.20E−03 |
Std | 3.14E−42 | 0.00E+00 | 2.87E−08 | 1.99E−09 | 23.4421 | 1.44E−09 | 7.07E−03 | |
p-value | 0.0077 | 0.048 | 0.0011 | 0.451 | 0.0047 | 0.0055 | 0.0033 | |
LSHADESPACMA | Ave | 0.07537 | 2.25E−12 | 8.25E−09 | 1.44E−08 | 52.921 | 8.25E−10 | 7.70E−03 |
Std | 0.1480 | 1.52E−12 | 1.59E−08 | 1.21E−09 | 17.712 | 1.24E−07 | 2.11E−03 | |
p-value | 0.0025 | 0.0055 | 0.0051 | 0.0062 | 0.0068 | 0.0025 | 0.0030 | |