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In this part, 62 data patterns (65% of all patterns) were used for training and 33 data patterns (35% of the patterns) were used for random testing. Table 3 represents the testing statistics for all nine ski-jump bucket scour depth models (fed with the aforementioned nine input configurations). The table clearly shows that the MB4 model has the highest accuracy. Figure 3(a) displays the observed and simulated scour depth values of GEP and FFNN models (fed with MB4 input configuration) for the testing stage.
Table 3

Testing statistics of the GEP and FFNN models for the ski-jump bucket

Input configurationModelCCR2RMSEMAEHidden neuron no.
MB1 GEP 0.291 0.370 0.071 0.051 – 
FFNN 0.112 0.181 0.084 0.056 
MB2 GEP 0.526 0.687 0.041 0.033 – 
FFNN 0.493 0.503 0.057 0.045 
MB3 GEP 0.758 0.821 0.032 0.028 – 
FFNN 0.169 0.294 0.091 0.052 
MB4 GEP 0.841 0.858 0.034 0.025 – 
FFNN 0.863 0.876 0.032 0.024 
MB5 GEP 0.532 0.637 0.046 0.036 – 
FFNN 0.456 0.585 0.059 0.035 
MB6 GEP 0.133 0.233 0.072 0.053 – 
FFNN 0.411 0.479 0.063 0.049 
MB7 GEP 0.788 0.839 0.038 0.029 – 
FFNN 0.769 0.845 0.038 0.032 
MB8 GEP 0.611 0.792 0.047 0.042 – 
FFNN 0.789 0.801 0.039 0.029 
MB9 GEP 0.813 0.830 0.039 0.032 – 
FFNN 0.501 0.513 0.072 0.047 
Input configurationModelCCR2RMSEMAEHidden neuron no.
MB1 GEP 0.291 0.370 0.071 0.051 – 
FFNN 0.112 0.181 0.084 0.056 
MB2 GEP 0.526 0.687 0.041 0.033 – 
FFNN 0.493 0.503 0.057 0.045 
MB3 GEP 0.758 0.821 0.032 0.028 – 
FFNN 0.169 0.294 0.091 0.052 
MB4 GEP 0.841 0.858 0.034 0.025 – 
FFNN 0.863 0.876 0.032 0.024 
MB5 GEP 0.532 0.637 0.046 0.036 – 
FFNN 0.456 0.585 0.059 0.035 
MB6 GEP 0.133 0.233 0.072 0.053 – 
FFNN 0.411 0.479 0.063 0.049 
MB7 GEP 0.788 0.839 0.038 0.029 – 
FFNN 0.769 0.845 0.038 0.032 
MB8 GEP 0.611 0.792 0.047 0.042 – 
FFNN 0.789 0.801 0.039 0.029 
MB9 GEP 0.813 0.830 0.039 0.032 – 
FFNN 0.501 0.513 0.072 0.047 
Figure 3

Observed vs. predicted scour depths testing stage of GEP and FFNN models for (a) ski-jump bucket, (b) sharp-crested weir, and (c) inclined slope controlled structure.

Figure 3

Observed vs. predicted scour depths testing stage of GEP and FFNN models for (a) ski-jump bucket, (b) sharp-crested weir, and (c) inclined slope controlled structure.

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