The ELU activation is added

neural_network/activation_functions/exponential_linear_unit.py

@@ -0,0 +1,40 @@
+"""
+Implements the Exponential Linear Unit or ELU function.
+
+The function takes a vector of K real numbers and a real number alpha as
+input and then applies the ELU function to each element of the vector.
+
+Script inspired from its corresponding Wikipedia article
+https://en.wikipedia.org/wiki/Rectifier_(neural_networks)
+"""
+
+import numpy as np
+
+
+def exponential_linear_unit(vector: np.ndarray, alpha: float) -> np.ndarray:
+ """
+ Implements the ELU activation function.
+ Parameters:
+ vector: the array containing input of elu activation
+ alpha: hyper-parameter
+ return:
+ elu (np.array): The input numpy array after applying elu.
+
+ Mathematically, f(x) = x, x>0 else (alpha * (e^x -1)), x<=0, alpha >=0
+
+ Examples:
+ >>> exponential_linear_unit(vector=np.array([2.3,0.6,-2,-3.8]), alpha=0.3)
+ array([ 2.3 , 0.6 , -0.25939942, -0.29328877])
+
+ >>> exponential_linear_unit(vector=np.array([-9.2,-0.3,0.45,-4.56]), alpha=0.067)
+ array([-0.06699323, -0.01736518, 0.45 , -0.06629904])
+
+
+ """
+ return np.where(vector > 0, vector, (alpha * (np.exp(vector) - 1)))
+
+
+if __name__ == "__main__":
+ import doctest
+
+ doctest.testmod()