ELU

α\alpha1
f(x)={α(ex1)x<0xotherwisef(x) = \begin{cases} \alpha (e^x-1) & x < 0 \\ x & \text{otherwise}\end{cases}

α\alpha1
f(x)={αexx<01x>0f^{\prime}(x) = \begin{cases} \alpha e^x & x < 0 \\ 1 & x > 0\end{cases}