Table 2

Transform functions commonly used (Maca et al. 2014)

FunctionFormulaDerivativeSuggested normalization equation
TF1 Logistic(soft step、sigmoid)   Equation (2) 
TF2 Tanh   Equation (3) 
TF3 Arctan   Equation (3) 
TF4 Identity  f^′ (x) =  Equation (3) 
TF5 Rectified linear unit (ReLU)   Equation (2) 
TF6 Parameteric rectified linear unit (PReLU、leaky ReLU)   Equation (3) 
TF7 Exponential linear unit(ELU)   Equation (3) 
TF8 Inverse abs (IA)   Equation (3) 
TF9 Rootsig (RS)   Equation (3) 
TF10 Sech function (SF)   Equation (3) 
FunctionFormulaDerivativeSuggested normalization equation
TF1 Logistic(soft step、sigmoid)   Equation (2) 
TF2 Tanh   Equation (3) 
TF3 Arctan   Equation (3) 
TF4 Identity  f^′ (x) =  Equation (3) 
TF5 Rectified linear unit (ReLU)   Equation (2) 
TF6 Parameteric rectified linear unit (PReLU、leaky ReLU)   Equation (3) 
TF7 Exponential linear unit(ELU)   Equation (3) 
TF8 Inverse abs (IA)   Equation (3) 
TF9 Rootsig (RS)   Equation (3) 
TF10 Sech function (SF)   Equation (3) 
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