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.

NRMethod

Free1IM-MOEO4.9280.00.00.9960.0−1.0089.9082.0260.00.00.00.0
L1-DPSO4.3870.00.01.4250.0−0.8969.5671.4650.00.00.00.0
2IM-MOEO9.9852.0020.00.00.00.09.9830.02.0030.00.00.0
L1-DPSO9.3241.7890.00.00.00.010.5620.02.0580.00.00.0
3IM-MOEO5.3810.0−1.3090.00.00.04.0400.0−1.4591.9840.00.0
L1-DPSO10.8790.0−1.6590.00.00.09.8470.0−1.2451.8750.00.0
4IM-MOEO7.9660.00.02.0230.0−1.0079.9930.00.00.01.9520.0
L1-DPSO7.7950.00.02.0540.0−1.0219.7390.00.00.01.9750.0
5IM-MOEO9.9620.00.00.02.0050.09.9670.00.00.00.02.014
L1-DPSO9.6320.00.00.02.0560.09.5670.00.00.00.02.136

5%1IM-MOEO5.4170.00.00.8930.0−0.1.0119.8341.5270.00.00.00.0
L1-DPSO4.332−0.070−0.0981.7830.070−0.56810.2351.235−0.0300.1380.0420.027
2IM-MOEO8.3761.6350.00.00.00.08.9660.02.609−0.6740.00.0
L1-DPSO9.2991.549−0.089−0.025−0.139−0.13911.263−0.1332.4320.048−0.038−0.150
3IM-MOEO1.2340.0−0.690−0.3555−0.8860.01.1370.00.00.00.00.0
L1-DPSO10.7710.086−2.5680.003−0.1450.0109.076−0.101−1.5692.564−0.092−0.062
4IM-MOEO7.5130.00.01.3790.0−1.0599.9530.00.00.01.6240.0
L1-DPSO8.214−0.144−0.0922.785−0.048−0.6269.6710.0320.148−0.0872.5680.039
5IM-MOEO10.000.00.00.01.6860.08.3160.00.00.00.01.586
L1-DPSO9.4900.1350.0900.0811.8650.10111.1670.1420.1180.0230.0402.461

15%1IM-MOEO4.3550.00.00.6190.0−1.0639.9601.7910000
L1-DPSO3.987−0.137−0.4322.6540.426−1.9868.9871.869−0.086−0.046−0.1370.078
2IM-MOEO3.5352.057−0.7790000.0000000
L1-DPSO11.7863.1230.4050.2180.237−0.25811.786−0.2083.2150.4150.310−0.461
3IM-MOEO2.4810.8210.00.0−2.37901.737000.000
L1-DPSO11.126−0.020−3.1260.0830.0110.20711.126−0.244−1.9863.4120.475−0.369
4IM-MOEO5.7790.00.01.897−0.839−0.9426.9830.00.00.00.00.0
L1-DPSO6.9760.00.00.01.116−0.6464.7220.00.00.00.00.0
5IM-MOEO6.9760.00.00.01.116−0.6464.7220.00.00.00.00.0
L1-DPSO8.3340.2080.357−0.3273.2140.2958.334−0.038−0.428−0.3180.2823.604

25%1IM-MOEO8.150−0.2720.00.6450.0−0.4958.0890.00.00.00.00.0
L1-DPSO7.8940.481−0.7593.8790.946−2.96319.2354.651−0.3260.3560.7380.526
2IM-MOEO10.000.8838−0.29130.00.00.06.0870.00.00.00.00.0
L1-DPSO15.0314.1290.110−0.491−0.557−0.42318.605−0.2154.1520.6270.494−0.723
3IM-MOEO6.6890.0−0.257−0.9090.00.06.3360.00.00.00.00.0
L1-DPSO18.6780.859−4.214−0.3880.305−0.04215.065−0.581−2.5464.421−0.1700.556
4IM-MOEO7.23110.0−0.2900.00.0−0.6819.3190.00.0−0.5910.00
L1-DPSO6.579−0.2150.1994.568−0.635−2.65517.0360.2500.8590.2585.1230.190
5IM-MOEO6.7730.00.00.00.00.01.3420.00.8250.0−1.4150.0
L1-DPSO6.598−0.9410.487−0.8334.125−0.56414.9050.060−0.1060.785−0.3494.843