Transform functions commonly used (Maca et al. 2014)
Function . | Formula . | Derivative . | Suggested 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) |
Function . | Formula . | Derivative . | Suggested 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) |