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create sinusoidal.py #15563

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Create sinusoidal.py
bertholeo Oct 12, 2026
e120130
Merge pull request #1 from bertholeo/bertholeo-patch-1
bertholeo Oct 12, 2026
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35 changes: 35 additions & 0 deletions neural_network/activation_functions/sinusoidal.py
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"""
Sinusoidal activation function.

Reference:
https://arxiv.org/abs/2006.09661
"""

import numpy as np


def sinusoidal(vector: np.ndarray, omega: float = 1.0) -> np.ndarray:
"""
Apply the sinusoidal activation element-wise.

Formula: f(x) = sin(omega * x)

>>> sinusoidal(np.array([0, np.pi / 2, np.pi])).round(5)
array([0., 1., 0.])

>>> sinusoidal(np.array([0, np.pi / 4]), omega=2).round(5)
array([0., 1.])

>>> sinusoidal(np.array([])).size
0

>>> sinusoidal(np.array([[0, 1], [2, 3]])).shape
(2, 2)
"""
return np.sin(omega * vector)


if __name__ == "__main__":
import doctest

doctest.testmod()
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