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The average performances of BPNNs are presented in Table 3. The set-up of the ELM which has the smallest average testing error is presented in Table 4, and its performances for different activation functions and neuron numbers are shown in Figure 5 (the interval of neuron number is set as 10).
Table 3

The performance of BPNNs with tribas, radbas or satlin as activation function

Activation functionNeuron numberAverage iteration numberAverage training time (%)Average training error (%)Average testing error (%)Smallest testing error (%)
Tribas 50 60 17.1195 4.60 5.11 4.83 
100 40 23.7122 4.00 4.76 4.55 
150 16 17.2210 3.94 4.83 4.60 
200 10 17.2912 3.98 4.93 4.61 
Radbas 50 60 17.7935 4.12 4.82 4.58 
100 20 14.8497 4.09 4.80 4.54 
150 10 17.1336 4.23 4.77 4.59 
200 30.7603 3.99 4.74 4.55 
Satlin 50 110 29.8102 4.71 5.08 4.77 
100 100 56.9560 4.24 4.77 4.52 
150 30 31.6885 3.85 4.51 4.41 
200 11 19.3847 4.02 4.70 4.48 
Activation functionNeuron numberAverage iteration numberAverage training time (%)Average training error (%)Average testing error (%)Smallest testing error (%)
Tribas 50 60 17.1195 4.60 5.11 4.83 
100 40 23.7122 4.00 4.76 4.55 
150 16 17.2210 3.94 4.83 4.60 
200 10 17.2912 3.98 4.93 4.61 
Radbas 50 60 17.7935 4.12 4.82 4.58 
100 20 14.8497 4.09 4.80 4.54 
150 10 17.1336 4.23 4.77 4.59 
200 30.7603 3.99 4.74 4.55 
Satlin 50 110 29.8102 4.71 5.08 4.77 
100 100 56.9560 4.24 4.77 4.52 
150 30 31.6885 3.85 4.51 4.41 
200 11 19.3847 4.02 4.70 4.48 
Table 4

The performance of ELM with tribas, radbas or satlin as activation function

Activation functionNeuron numberAverage training time(s)Average training error (%)Average testing error (%)Smallest testing error (%)
Tribas 400 0.8263 3.98 4.96 4.65 
Radbas 160 0.2150 4.98 6.10 5.34 
Satlin 360 0.7107 4.13 4.98 4.60 
Activation functionNeuron numberAverage training time(s)Average training error (%)Average testing error (%)Smallest testing error (%)
Tribas 400 0.8263 3.98 4.96 4.65 
Radbas 160 0.2150 4.98 6.10 5.34 
Satlin 360 0.7107 4.13 4.98 4.60 
Figure 5

Performances of different activation functions (tribas, radbas and satlin) and neuron numbers.

Figure 5

Performances of different activation functions (tribas, radbas and satlin) and neuron numbers.

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