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Table 3

The performance of the MLP with different transfer functions and neurons with a hidden layer

NoNumber of neuronsTraining methodTransfer functionThe model performance
R2RMSEIAEMBE
Levenberg-Marquardt (trainlm) Tansiga 0.75 3.58 0.78 0.73 0.127 
Purelinb 0.56 7.42 0.57 0.54 0.319 
Logsigc 0.73 4.19 0.74 0.71 0.154 
Tansig 0.81 2.14 0.84 0.80 0.094 
Purelin 0.59 5.87 0.61 0.58 0.257 
Logsig 0.80 1.98 0.82 0.80 0.085 
Tansig 0.90 0.749 0.91 0.89 0.051 
Purelin 0.63 5.23 0.66 0.61 0.228 
Logsig 0.84 0.926 0.86 0.83 0.062 
10 Tansig 0.89 0.841 0.92 0.89 0.045 
11 Purelin 0.64 4.84 0.65 0.64 0.211 
12 Logsig 0.86 0.957 0.88 0.84 0.052 
13 10 Tansig 0.91 0.547 0.94 0.90 0.023 
14 Purelin 0.68 3.21 0.70 0.67 0.157 
15 Logsig 0.89 0.613 0.91 0.88 0.037 
16 12 Tansig 0.91 0.677 0.92 0.89 0.031 
17 Purelin 0.66 3.79 0.69 0.64 0.182 
18 Logsig 0.87 0.655 0.89 0.86 0.041 
NoNumber of neuronsTraining methodTransfer functionThe model performance
R2RMSEIAEMBE
Levenberg-Marquardt (trainlm) Tansiga 0.75 3.58 0.78 0.73 0.127 
Purelinb 0.56 7.42 0.57 0.54 0.319 
Logsigc 0.73 4.19 0.74 0.71 0.154 
Tansig 0.81 2.14 0.84 0.80 0.094 
Purelin 0.59 5.87 0.61 0.58 0.257 
Logsig 0.80 1.98 0.82 0.80 0.085 
Tansig 0.90 0.749 0.91 0.89 0.051 
Purelin 0.63 5.23 0.66 0.61 0.228 
Logsig 0.84 0.926 0.86 0.83 0.062 
10 Tansig 0.89 0.841 0.92 0.89 0.045 
11 Purelin 0.64 4.84 0.65 0.64 0.211 
12 Logsig 0.86 0.957 0.88 0.84 0.052 
13 10 Tansig 0.91 0.547 0.94 0.90 0.023 
14 Purelin 0.68 3.21 0.70 0.67 0.157 
15 Logsig 0.89 0.613 0.91 0.88 0.037 
16 12 Tansig 0.91 0.677 0.92 0.89 0.031 
17 Purelin 0.66 3.79 0.69 0.64 0.182 
18 Logsig 0.87 0.655 0.89 0.86 0.041 

aTansig: tan-sigmoid transfer function.

bLogsig: log-sigmoid transfer function.

cPurelin: linear transfer function.

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