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50 changes: 50 additions & 0 deletions maths/swish.py
Original file line number Diff line number Diff line change
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"""
This script demonstrates the implementation of the Swish function.

The function takes a vector x of K real numbers as input and then
returns x * sigmoid(x).
It is a smooth, non-monotonic function that consistently matches
or outperforms ReLU on deep networks, it is unbounded above and
bounded below.

Script inspired from its corresponding Tensorflow documentation,
https://www.tensorflow.org/api_docs/python/tf/keras/activations/swish
"""

import numpy as np


def sigmoid(vector: np.array):
"""
Swish function can be implemented easily with the help of
sigmoid function
"""
return 1 / (1 + np.exp(-vector))


def swish(vector: np.array):
"""
Implements the swish function

Parameters:
vector (np.array): A numpy array consisting of real
values.

Returns:
vector (np.array): The input numpy array, after applying
swish.

Examples:
>>> swish(np.array([-1.0, 1.0, 2.0]))
array([-0.26894142, 0.73105858, 1.76159416])

>>> swish(np.array([-2]))
array([-0.23840584])
"""
return vector * sigmoid(vector)


if __name__ == "__main__":
import doctest

doctest.testmod()