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maths/tanh.py
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13 мар 2024, 09:52
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""" This script demonstrates the implementation of the tangent hyperbolic or tanh function. The function takes a vector of K real numbers as input and then (e^x - e^(-x))/(e^x + e^(-x)). After through tanh, the element of the vector mostly -1 between 1. Script inspired from its corresponding Wikipedia article https://en.wikipedia.org/wiki/Activation_function """ import numpy as np def tangent_hyperbolic(vector: np.ndarray) -> np.ndarray: """ Implements the tanh function Parameters: vector: np.ndarray Returns: tanh (np.array): The input numpy array after applying tanh. mathematically (e^x - e^(-x))/(e^x + e^(-x)) can be written as (2/(1+e^(-2x))-1 Examples: >>> tangent_hyperbolic(np.array([1,5,6,-0.67])) array([ 0.76159416, 0.9999092 , 0.99998771, -0.58497988]) >>> tangent_hyperbolic(np.array([8,10,2,-0.98,13])) array([ 0.99999977, 1. , 0.96402758, -0.7530659 , 1. ]) """ return (2 / (1 + np.exp(-2 * vector))) - 1 if __name__ == "__main__": import doctest doctest.testmod()