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The logistic function is often used as a hidden layer transfer function, as shown in Eq. (3).
The best architecture of the developed ANN including the numbers of hidden layer, transfer function and number of neurons were attained by utilizing these literature data points.
Table 3 Statistical parameter values of transfer function selection for the testing dataset Hidden layer transfer function Output layer transfer function (frac{{overline{tau }_{w} }}{rho ghS}) (frac{{overline{tau }_{b} }}{rho ghS}) RMSE MAE δ% RMSE MAE %δ Logsig Purelin 0.0305 0.0240 4.2106 0.0229 0.0173 2.3751 Lansig Purelin 0.0347 0.0347 4.7316 0.0347 0.0347 2.3926.
The architecture of an MLP as explained by several researchers (Ham and Kostanic 2003; Huang et al. 2006a), with one hidden layer consists of several elements which include, input to hidden layer weights, hidden layer biases, hidden layer transfer function, hidden layer to output layer weights, output layer biases and output layer transfer function.
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The architecture of ANNs for parametric PTFs was different regarding the type of ANN, output layer transfer functions and the number of hidden neurons.
The network architectures were unique and problem specific with respect to the output layer transfer functions and number of hidden neurons.
To get the best conditions for the considered ANNs training, a comprehensive sensitivity study has been performed to examine the effects of variation of hidden neurons, hidden layers, transfer functions, and the learning algorithms on the training and simulation results.
ANN consisted of one hidden layer, tanh transfer function, and three neurons.
NeuroSolutions automatically scales and shifts the input data to match the range of the hidden layer's transfer function.
The architecture of the neural network involves the number of input and output neurons, the number of layers, the number of neurons in each layer, the connectivity of layers, and the transfer function in each layer.
Data set 2: Number of hidden layers = 1, Number of neurons in each hidden layer = 2, Transfer function in each hidden layer is log-sigmoid.
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