Research Article
[Retracted] Prediction of Concrete Compressive Strength Based on the BP Neural Network Optimized by Random Forest and ISSA
Table 3
Experimental results of 7 algorithms applied to CEC2017 test set.
| function | index | ABC | WOA | PSO | SSA | CSSA | NCSSA | ISSA |
| F1 | Mean | | | | | | | | Std | | | | | | | | Rank | 7 | 6 | 5 | 2 | 3 | 4 | 1 | F3 | Mean | | | | | | | | Std | | | | 6784.0 | 7117.0 | 3913.0 | 9803.3 | Rank | 7 | 6 | 5 | 3 | 1 | 4 | 2 | F4 | Mean | 1900.0 | 1408.6 | 485.4 | 511.2 | 524.2 | 528.1 | 523.5 | Std | 259.0 | 411.5 | 25.6 | 16.6 | 23.3 | 21.6 | 62.3 | Rank | 7 | 6 | 1 | 2 | 4 | 5 | 3 | F5 | Mean | 785.1 | 841.0 | 709.0 | 676.0 | 649.9 | 676.0 | 670.8 | Std | 22.1 | 54.2 | 39.6 | 45.1 | 43.1 | 25.3 | 33.9 | Rank | 5 | 6 | 4 | 3 | 1 | 3 | 2 | F6 | Mean | 646.2 | 674.9 | 652.0 | 626.9 | 624.2 | 624.2 | 623.5 | Std | 3.4 | 5.2 | 5.5 | 7.4 | 12.7 | 4.9 | 9.7 | Rank | 4 | 6 | 5 | 3 | 2 | 2 | 1 | F7 | Mean | 1060.4 | 1255.8 | 1098.6 | 1053.8 | 945.4 | 1038.7 | 981.8 | Std | 20.3 | 117.8 | 40.2 | 98.7 | 90.3 | 123.7 | 69.5 | Rank | 5 | 7 | 6 | 4 | 1 | 3 | 2 | F8 | Mean | 1084.3 | 1046.1 | 966.5 | 947.3 | 946.3 | 944.4 | 934.5 | Std | 17.3 | 22.5 | 28.1 | 38.8 | 23.7 | 31.2 | 22.8 | Rank | 7 | 6 | 5 | 4 | 3 | 2 | 1 | F9 | Mean | | 9696.4 | 7369.8 | 4969.7 | 4221.6 | 4871.8 | 3805.2 | Std | 1471.7 | 3438.2 | 1098.3 | 940.7 | 1153.1 | 789.6 | 746.5 | Rank | 7 | 6 | 5 | 4 | 2 | 3 | 1 | F10 | Mean | 9299.1 | 7029.2 | 5620.8 | 5076.4 | 4858.0 | 4767.8 | 4504.6 | Std | 328.5 | 714.8 | 437.3 | 683.9 | 396.0 | 432.5 | 696.8 | Rank | 7 | 6 | 5 | 4 | 3 | 2 | 1 | F11 | Mean | | 7897.1 | 1271.3 | 1325.6 | 1283.9 | 1324.6 | 1302.1 | Std | 2741.5 | 3154.0 | 33.2 | 53.5 | 68.0 | 89.8 | 63.6 | Rank | 7 | 6 | 1 | 5 | 3 | 4 | 2 | F12 | Mean | | | | | | | | Std | | | | | | | | Rank | 7 | 6 | 5 | 2 | 1 | 4 | 3 | F13 | Mean | | | | | | | | Std | | | | | | | | Rank | 7 | 6 | 5 | 2 | 3 | 4 | 1 | F14 | Mean | | | | | | | | Std | | | | | | | | Rank | 6 | 7 | 5 | 4 | 1 | 3 | 2 | F15 | Mean | | | | | 8246.8 | | | Std | | | 8248.9 | | 6448.7 | | | Rank | 7 | 6 | 5 | 2 | 1 | 4 | 3 | F16 | Mean | 4233.3 | 4227.7 | 3348.2 | 2778.1 | 2921.8 | 2741.1 | 2610.3 | Std | 102.8 | 384.3 | 435.1 | 145.3 | 506.3 | 213.8 | 293.1 | Rank | 7 | 6 | 5 | 3 | 4 | 2 | 1 | F17 | Mean | 3077.4 | 3061.4 | 2321.6 | 2300.0 | 2304.7 | 2383.4 | 2263.6 | Std | 179.8 | 542.8 | 269.5 | 189.4 | 287.1 | 217.1 | 245.0 | Rank | 7 | 6 | 4 | 2 | 3 | 5 | 1 | F18 | Mean | | | | | | | | Std | | | | | | | | Rank | 7 | 6 | 4 | 1 | 3 | 5 | 2 | F19 | Mean | | | | | 8868.6 | | | Std | | | | | | 7202.9 | | Rank | 6 | 7 | 5 | 4 | 1 | 2 | 3 | F20 | Mean | 3179.1 | 2790.0 | 2725.0 | 2654.8 | 2515.0 | 2570.3 | 2519.2 | Std | 137.9 | 174.2 | 217.2 | 160.4 | 203.7 | 173.0 | 149.4 | Rank | 7 | 6 | 5 | 4 | 1 | 3 | 2 | F21 | Mean | 2583.3 | 2637.1 | 2536.4 | 2471.8 | 2466.6 | 2449.2 | 2440.7 | Std | 13.6 | 83.5 | 32.5 | 57.3 | 56.7 | 29.0 | 30.7 | Rank | 6 | 7 | 5 | 4 | 3 | 2 | 1 | F22 | Mean | | 8467.4 | 7041.4 | 5352.7 | 4247.9 | 4209.8 | 5087.8 | Std | 177.8 | 734.1 | 1912.7 | 1895.5 | 2115.3 | 2113.3 | 2009.7 | Rank | 7 | 6 | 5 | 4 | 2 | 1 | 3 | F23 | Mean | 2977.9 | 3063.9 | 3456.9 | 2817.6 | 2810.7 | 2802.0 | 2801.6 | Std | 13.0 | 90.7 | 221.6 | 60.5 | 45.5 | 51.7 | 26.2 | Rank | 5 | 6 | 7 | 4 | 3 | 2 | 1 | F24 | Mean | 3130.6 | 3270.3 | 3360.5 | 2975.0 | 2987.6 | 2986.9 | 2992.5 | Std | 14.5 | 77.5 | 59.5 | 63.4 | 60.4 | 41.3 | 30.3 | Rank | 5 | 6 | 7 | 1 | 3 | 2 | 4 | F25 | Mean | 3342.6 | 3184.2 | 2928.3 | 2905.6 | 2899.1 | 2904.8 | 2897.3 | Std | 60.6 | 46.2 | 18.9 | 20.4 | 14.9 | 17.5 | 14.0 | Rank | 7 | 6 | 5 | 4 | 2 | 3 | 1 | F26 | Mean | 6507.6 | 8639.1 | 6774.7 | 4675.2 | 5305.7 | 5067.9 | 4684.3 | Std | 254.1 | 548.0 | 2309.6 | 856.7 | 1086.6 | 756.5 | 1332.2 | Rank | 5 | 7 | 6 | 1 | 4 | 3 | 2 | F27 | Mean | 3200.0 | 3494.4 | 3861.9 | 3235.7 | 3249.1 | 3253.5 | 3227.7 | Std | | 123.5 | 395.0 | 15.1 | 17.8 | 20.1 | 38.1 | Rank | 1 | 6 | 7 | 3 | 4 | 5 | 2 | F28 | Mean | 3300.0 | 3748.8 | 3271.5 | 3233.7 | 3261.4 | 3267.4 | 3254.9 | Std | 0.03 | 256.0 | 21.4 | 22.0 | 50.7 | 26.6 | 35.6 | Rank | 6 | 7 | 5 | 1 | 3 | 4 | 2 | F29 | Mean | 5184.5 | 5206.8 | 4550.6 | 3972.0 | 3983.7 | 3969.8 | 3912.8 | Std | 113.7 | 640.5 | 264.7 | 192.2 | 175.7 | 196.1 | 193.8 | Rank | 6 | 7 | 5 | 3 | 4 | 2 | 1 | F30 | Mean | | | | | | | | Std | | | | | | | | Rank | 5 | 7 | 6 | 3 | 2 | 4 | 1 | | Ar | 6.103 | 6.276 | 4.931 | 2.966 | 2.379 | 3.172 | 1.724 | Fr | 6 | 7 | 5 | 3 | 2 | 4 | 1 |
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