Research Article
Inference of Biochemical S-Systems via Mixed-Variable Multiobjective Evolutionary Optimization
Table 2
Comparison between IM-MOEO and L1-DPSO for the artificial network S1.
| NR | | Method | | | | | | | | | | | | |
| Free | 1 | IM-MOEO | 4.928 | 0.0 | 0.0 | 0.996 | 0.0 | −1.008 | 9.908 | 2.026 | 0.0 | 0.0 | 0.0 | 0.0 | L1-DPSO | 4.387 | 0.0 | 0.0 | 1.425 | 0.0 | −0.896 | 9.567 | 1.465 | 0.0 | 0.0 | 0.0 | 0.0 | 2 | IM-MOEO | 9.985 | 2.002 | 0.0 | 0.0 | 0.0 | 0.0 | 9.983 | 0.0 | 2.003 | 0.0 | 0.0 | 0.0 | L1-DPSO | 9.324 | 1.789 | 0.0 | 0.0 | 0.0 | 0.0 | 10.562 | 0.0 | 2.058 | 0.0 | 0.0 | 0.0 | 3 | IM-MOEO | 5.381 | 0.0 | −1.309 | 0.0 | 0.0 | 0.0 | 4.040 | 0.0 | −1.459 | 1.984 | 0.0 | 0.0 | L1-DPSO | 10.879 | 0.0 | −1.659 | 0.0 | 0.0 | 0.0 | 9.847 | 0.0 | −1.245 | 1.875 | 0.0 | 0.0 | 4 | IM-MOEO | 7.966 | 0.0 | 0.0 | 2.023 | 0.0 | −1.007 | 9.993 | 0.0 | 0.0 | 0.0 | 1.952 | 0.0 | L1-DPSO | 7.795 | 0.0 | 0.0 | 2.054 | 0.0 | −1.021 | 9.739 | 0.0 | 0.0 | 0.0 | 1.975 | 0.0 | 5 | IM-MOEO | 9.962 | 0.0 | 0.0 | 0.0 | 2.005 | 0.0 | 9.967 | 0.0 | 0.0 | 0.0 | 0.0 | 2.014 | L1-DPSO | 9.632 | 0.0 | 0.0 | 0.0 | 2.056 | 0.0 | 9.567 | 0.0 | 0.0 | 0.0 | 0.0 | 2.136 |
| 5% | 1 | IM-MOEO | 5.417 | 0.0 | 0.0 | 0.893 | 0.0 | −0.1.011 | 9.834 | 1.527 | 0.0 | 0.0 | 0.0 | 0.0 | L1-DPSO | 4.332 | −0.070 | −0.098 | 1.783 | 0.070 | −0.568 | 10.235 | 1.235 | −0.030 | 0.138 | 0.042 | 0.027 | 2 | IM-MOEO | 8.376 | 1.635 | 0.0 | 0.0 | 0.0 | 0.0 | 8.966 | 0.0 | 2.609 | −0.674 | 0.0 | 0.0 | L1-DPSO | 9.299 | 1.549 | −0.089 | −0.025 | −0.139 | −0.139 | 11.263 | −0.133 | 2.432 | 0.048 | −0.038 | −0.150 | 3 | IM-MOEO | 1.234 | 0.0 | −0.690 | −0.3555 | −0.886 | 0.0 | 1.137 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | L1-DPSO | 10.771 | 0.086 | −2.568 | 0.003 | −0.145 | 0.010 | 9.076 | −0.101 | −1.569 | 2.564 | −0.092 | −0.062 | 4 | IM-MOEO | 7.513 | 0.0 | 0.0 | 1.379 | 0.0 | −1.059 | 9.953 | 0.0 | 0.0 | 0.0 | 1.624 | 0.0 | L1-DPSO | 8.214 | −0.144 | −0.092 | 2.785 | −0.048 | −0.626 | 9.671 | 0.032 | 0.148 | −0.087 | 2.568 | 0.039 | 5 | IM-MOEO | 10.00 | 0.0 | 0.0 | 0.0 | 1.686 | 0.0 | 8.316 | 0.0 | 0.0 | 0.0 | 0.0 | 1.586 | L1-DPSO | 9.490 | 0.135 | 0.090 | 0.081 | 1.865 | 0.101 | 11.167 | 0.142 | 0.118 | 0.023 | 0.040 | 2.461 |
| 15% | 1 | IM-MOEO | 4.355 | 0.0 | 0.0 | 0.619 | 0.0 | −1.063 | 9.960 | 1.791 | 0 | 0 | 0 | 0 | L1-DPSO | 3.987 | −0.137 | −0.432 | 2.654 | 0.426 | −1.986 | 8.987 | 1.869 | −0.086 | −0.046 | −0.137 | 0.078 | 2 | IM-MOEO | 3.535 | 2.057 | −0.779 | 0 | 0 | 0 | 0.00 | 0 | 0 | 0 | 0 | 0 | L1-DPSO | 11.786 | 3.123 | 0.405 | 0.218 | 0.237 | −0.258 | 11.786 | −0.208 | 3.215 | 0.415 | 0.310 | −0.461 | 3 | IM-MOEO | 2.481 | 0.821 | 0.0 | 0.0 | −2.379 | 0 | 1.737 | 0 | 0 | 0.0 | 0 | 0 | L1-DPSO | 11.126 | −0.020 | −3.126 | 0.083 | 0.011 | 0.207 | 11.126 | −0.244 | −1.986 | 3.412 | 0.475 | −0.369 | 4 | IM-MOEO | 5.779 | 0.0 | 0.0 | 1.897 | −0.839 | −0.942 | 6.983 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | L1-DPSO | 6.976 | 0.0 | 0.0 | 0.0 | 1.116 | −0.646 | 4.722 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 | IM-MOEO | 6.976 | 0.0 | 0.0 | 0.0 | 1.116 | −0.646 | 4.722 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | L1-DPSO | 8.334 | 0.208 | 0.357 | −0.327 | 3.214 | 0.295 | 8.334 | −0.038 | −0.428 | −0.318 | 0.282 | 3.604 |
| 25% | 1 | IM-MOEO | 8.150 | −0.272 | 0.0 | 0.645 | 0.0 | −0.495 | 8.089 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | L1-DPSO | 7.894 | 0.481 | −0.759 | 3.879 | 0.946 | −2.963 | 19.235 | 4.651 | −0.326 | 0.356 | 0.738 | 0.526 | 2 | IM-MOEO | 10.00 | 0.8838 | −0.2913 | 0.0 | 0.0 | 0.0 | 6.087 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | L1-DPSO | 15.031 | 4.129 | 0.110 | −0.491 | −0.557 | −0.423 | 18.605 | −0.215 | 4.152 | 0.627 | 0.494 | −0.723 | 3 | IM-MOEO | 6.689 | 0.0 | −0.257 | −0.909 | 0.0 | 0.0 | 6.336 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | L1-DPSO | 18.678 | 0.859 | −4.214 | −0.388 | 0.305 | −0.042 | 15.065 | −0.581 | −2.546 | 4.421 | −0.170 | 0.556 | 4 | IM-MOEO | 7.2311 | 0.0 | −0.290 | 0.0 | 0.0 | −0.681 | 9.319 | 0.0 | 0.0 | −0.591 | 0.0 | 0 | L1-DPSO | 6.579 | −0.215 | 0.199 | 4.568 | −0.635 | −2.655 | 17.036 | 0.250 | 0.859 | 0.258 | 5.123 | 0.190 | 5 | IM-MOEO | 6.773 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 1.342 | 0.0 | 0.825 | 0.0 | −1.415 | 0.0 | L1-DPSO | 6.598 | −0.941 | 0.487 | −0.833 | 4.125 | −0.564 | 14.905 | 0.060 | −0.106 | 0.785 | −0.349 | 4.843 |
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