Table 6 Comparing the evaluation criteria.
Model | Feature | Data set | Metrics | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
R2 | MAE (MPa) | RMSE (MPa) | NSE | PI | VAF (%) | OBJ (MPa) | A10-index | |||
ANN | Compressive strength | Train | 0.9424 | 0.024 | 2.137 | 0.941 | 0.028 | 94.169 | 0.781 | 0.941 |
Validate | 0.9563 | 0.026 | 1.836 | 0.955 | 0.025 | 95.535 | 0.142 | 0.920 | ||
Test | 0.9463 | 0.029 | 2.368 | 0.931 | 0.031 | 94.459 | 0.183 | 0.880 | ||
All | 0.9412 | 0.025 | 2.157 | 0.940 | 0.028 | 94.049 | 1.124 | 0.929 | ||
Splitting-tensile strength | Train | 0.9150 | 0.045 | 0.214 | 0.911 | 0.028 | 91.230 | 0.095 | 0.924 | |
Validate | 0.9334 | 0.045 | 0.190 | 0.932 | 0.025 | 93.330 | 0.018 | 1.000 | ||
Test | 0.9246 | 0.043 | 0.222 | 0.905 | 0.029 | 90.869 | 0.020 | 0.960 | ||
All | 0.9174 | 0.045 | 0.212 | 0.914 | 0.028 | 91.411 | 0.134 | 0.940 | ||
ANN-BBO | Compressive strength | Train | 0.9864 | 0.022 | 1.028 | 0.986 | 0.013 | 98.641 | 0.371 | 0.983 |
Validate | 0.9925 | 0.019 | 0.787 | 0.992 | 0.011 | 99.247 | 0.060 | 1.000 | ||
Test | 0.9969 | 0.014 | 0.591 | 0.996 | 0.008 | 99.625 | 0.045 | 1.000 | ||
All | 0.9887 | 0.020 | 0.942 | 0.989 | 0.012 | 98.872 | 0.484 | 0.988 | ||
Splitting-tensile strength | Train | 0.9840 | 0.019 | 0.091 | 0.984 | 0.012 | 98.395 | 0.039 | 1.000 | |
Validate | 0.9814 | 0.022 | 0.109 | 0.978 | 0.014 | 98.118 | 0.010 | 1.000 | ||
Test | 0.9758 | 0.025 | 0.113 | 0.975 | 0.015 | 97.573 | 0.010 | 1.000 | ||
All | 0.9819 | 0.020 | 0.097 | 0.982 | 0.012 | 98.185 | 0.059 | 1.000 | ||