Research Article
Application of BPNN Optimized by Fireworks Algorithm on Structural Bearing Capacity Analysis of Transmission Tower under Icing Conditions
Table 4
Comparison of optimization results of three benchmark functions by each algorithm.
| | Benchmark function | Algorithm name | Mean value | Standard deviation | Optimization time (s) |
| | f1 | BP NN | 1.7281 × 10−12 | 5.6198 × 10−13 | 48.5694 | | FWA | 3.1572 × 10−17 | 9.3641 × 10−18 | 50.0481 | | GA-BP NN | 0.0024 | 0.0138 | 47.8787 | | PSO-BP NN | 4.5293 × 10−7 | 4.4127 × 10−7 | 49.5428 | | FWA-BPNN | 2.4031 × 10−41 | 8.9402 × 10−42 | 41.4849 |
| | f2 | BP NN | 1.5295 × 10−6 | 1.1327 × 10−7 | 48.5752 | | FWA | 1.3026 × 10−5 | 1.2084 × 10−6 | 55.2036 | | GA-BP NN | 0.0071 | 0.0025 | 64.0014 | | PSO-BP NN | 0.0094 | 0.0026 | 48.8123 | | FWA-BPNN | 8.9563 × 10−16 | 0 | 45.9563 |
| | f3 | BP NN | 4.5948 × 10−10 | 9.8526 × 10−11 | 48.2761 | | FWA | 2.6798 × 10−11 | 5.5296 × 10−12 | 48.5982 | | GA-BP NN | 0.0044 | 0.0003 | 49.1628 | | PSO-BP NN | 16.5288 | 3.3219 | 46.3562 | | FWA-BPNN | 0 | 0 | 39.6229 |
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