Research Article
The Improved Antlion Optimizer and Artificial Neural Network for Chinese Influenza Prediction
Table 2
The average value and the standard derivation of benchmark functions
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| | | | SCA | PSO | MFO | MVO | ALO | IALO |
| | | Avg. | 2.4833E-02 | 1.7029E-07 | 6.6667E+02 | 3.5320E-01 | 1.0361E-05 | 5.6713E-09 | | | Std. | 8.4745E-02 | 3.3987E-07 | 2.5371E+03 | 9.0486E-02 | 9.2902E-06 | 6.8327E-09 |
| | | Avg. | 2.7355E-05 | 5.6670E+00 | 3.5009E+01 | 3.8667E-01 | 4.0298E+01 | 2.1869E-06 | | | Std. | 7.0204E-05 | 6.7889E+00 | 1.7179E+01 | 1.0953E-01 | 4.5819E+01 | 1.7256E-06 |
| | | Avg. | 4.4292E+03 | 2.1475E+01 | 1.4187E+04 | 4.0091E+01 | 1.1158E+03 | 8.1060E-08 | | | Std. | 3.4067E+03 | 8.6854E+00 | 1.2322E+04 | 1.6256E+01 | 6.9499E+02 | 6.7920E-08 |
| | | Avg. | 2.2828E+01 | 7.0944E-01 | 6.7633E+01 | 9.3517E-01 | 1.2097E+01 | 1.9699E-05 | | | Std. | 1.0885E+01 | 1.6423E-01 | 9.8845E+00 | 3.8576E-01 | 3.4911E+00 | 1.3800E-05 |
| | | Avg. | 3.1495E+02 | 5.9107E+01 | 1.8190E+04 | 2.4310E+02 | 2.1312E+02 | 6.0874E+00 | | | Std. | 7.8295E+02 | 4.7783E+01 | 3.6553E+04 | 4.7649E+02 | 3.9933E+02 | 7.0979E+00 |
| | | Avg. | 4.4585E+00 | 2.7838E-07 | 1.3334E+03 | 3.0566E-01 | 8.2847E-06 | 4.3582E-03 | | | Std. | 4.5527E-01 | 5.3494E-07 | 3.4577E+03 | 6.4923E-02 | 6.6377E-06 | 4.5995E-03 |
| | | Avg. | 3.6431E-02 | 4.0953E+00 | 7.1591E+00 | 2.0177E-02 | 9.9794E-02 | 2.4135E-04 | | | Std. | 3.2811E-02 | 5.0086E+00 | 1.4622E+01 | 9.8788E-03 | 2.9363E-02 | 2.2411E-04 |
| | | Avg. | 2.2980E+00 | 8.3949E+01 | 4.2009E+04 | 2.5972E+00 | 1.8502E+00 | 3.5681E-01 | | | Std. | 2.9273E+00 | 1.2624E+02 | 7.8237E+04 | 2.8904E+00 | 2.0096E+00 | 1.5848E-01 |
| | | Avg. | 1.4830E-02 | 1.0333E+02 | 5.0351E+02 | 3.8931E-01 | 1.4806E+00 | 6.5564E-10 | | | Std. | 4.1114E-02 | 1.4016E+02 | 5.7668E+02 | 3.5894E-01 | 2.4219E+00 | 9.0072E-10 |
| | | Avg. | -3.9223E+03 | -7.0089E+03 | -8.7739E+03 | -7.7335E+03 | -5.6870E+03 | -1.2465E+04 | | | Std. | 2.0066E+02 | 7.4483E+02 | 1.0097E+03 | 7.5803E+02 | 7.2459E+02 | 3.1132E+02 |
| | | Avg. | 2.3813E+01 | 8.5902E+01 | 1.6498E+02 | 1.0670E+02 | 7.9663E+01 | 4.2863E-09 | | | Std. | 2.9957E+01 | 3.3029E+01 | 3.3619E+01 | 2.7246E+01 | 2.0180E+01 | 4.8343E-09 |
| | | Avg. | 1.2218E+01 | 1.1481E-01 | 1.3742E+01 | 1.1243E+00 | 2.1638E+00 | 2.1607E-05 | | | Std. | 9.6075E+00 | 3.5248E-01 | 8.1575E+00 | 6.8869E-01 | 4.8964E-01 | 1.6013E-05 |
| | | Avg. | 3.0681E-01 | 1.1976E-02 | 2.7139E+01 | 5.7658E-01 | 1.4141E-02 | 1.0333E-08 | | | Std. | 2.5543E-01 | 1.4464E-02 | 5.3798E+01 | 8.2168E-02 | 1.2955E-02 | 1.0276E-08 |
| | | Avg. | 3.2960E+00 | 2.6382E-09 | 7.6727E-01 | 1.4587E+00 | 1.0616E+01 | 1.3128E-03 | | | Std. | 6.3376E+00 | 5.2924E-09 | 1.0428E+00 | 9.7475E-01 | 4.4172E+00 | 1.7484E-03 |
| | | Avg. | 2.2449E+03 | 4.0291E-03 | 1.3669E+07 | 6.6053E-02 | 1.5288E+00 | 2.0314E-02 | | | Std. | 1.2265E+04 | 5.3850E-03 | 7.4867E+07 | 3.3510E-02 | 8.0972E+00 | 1.9561E-02 |
| | | Avg. | 1.4802E-261 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | -9.9996E-01 | | | Std. | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 3.8017E-05 |
| | | Avg. | 1.5607E+00 | 3.7235E+00 | 2.8078E+00 | 9.9800E-01 | 1.5594E+00 | 1.4625E+00 | | | Std. | 8.9065E-01 | 2.7626E+00 | 2.2124E+00 | 7.7165E-12 | 1.0912E+00 | 9.6225E-01 |
| | | Avg. | 9.3314E-04 | 3.1081E-03 | 1.7669E-03 | 4.0776E-03 | 4.7203E-03 | 3.5287E-04 | | Std. | 3.8535E-04 | 5.8663E-03 | 3.5356E-03 | 7.4136E-03 | 7.9585E-03 | 3.4786E-05 |
| | | Avg. | -1.0316E+00 | -1.0316E+00 | -1.0316E+00 | -1.0316E+00 | -1.0316E+00 | -1.0316E+00 | | Std. | 2.1357E-05 | 0.0000E+00 | 0.0000E+00 | 5.7709E-08 | 8.1190E-14 | 1.3166E-04 |
| | | Avg. | 3.9870E-01 | 3.9789E-01 | 3.9789E-01 | 3.9789E-01 | 3.9789E-01 | 4.0284E-01 | | Std. | 9.6371E-04 | 0.0000E+00 | 0.0000E+00 | 1.5989E-07 | 4.0846E-14 | 7.3331E-03 |
| | | Avg. | 3.0000E+00 | 3.0000E+00 | 3.0000E+00 | 3.0000E+00 | 3.0000E+00 | 3.0295E+00 | | Std. | 1.0124E-05 | 0.0000E+00 | 4.8014E-15 | 4.8579E-07 | 2.8150E-13 | 3.3891E-02 |
| | | Avg. | -3.8551E+00 | -3.8625E+00 | -3.8628E+00 | -3.8628E+00 | -3.8628E+00 | -3.8541E+00 | | Std. | 2.6592E-03 | 1.4390E-03 | 2.7101E-15 | 4.9816E-07 | 2.9913E-14 | 1.4000E-02 |
| | | Avg. | -2.8128E+00 | -3.2222E+00 | -3.2220E+00 | -3.2582E+00 | -3.2705E+00 | -3.1590E+00 | | Std. | 4.8513E-01 | 9.4865E-02 | 5.3410E-02 | 6.0678E-02 | 5.9929E-02 | 1.0387E-01 |
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