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* Add Sobovela Modified Hyberbolic Tangent function * fix: typo * Update and rename sobovela_modified_hyperbolic_tangent.py to soboleva_modified_hyperbolic_tangent.py * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * fix: typo * Apply suggestions from code review --------- Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com> Co-authored-by: Tianyi Zheng <tianyizheng02@gmail.com>
50 lines
1.6 KiB
Python
50 lines
1.6 KiB
Python
"""
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This script implements the Soboleva Modified Hyperbolic Tangent function.
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The function applies the Soboleva Modified Hyperbolic Tangent function
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to each element of the vector.
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More details about the activation function can be found on:
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https://en.wikipedia.org/wiki/Soboleva_modified_hyperbolic_tangent
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"""
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import numpy as np
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def soboleva_modified_hyperbolic_tangent(
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vector: np.ndarray, a_value: float, b_value: float, c_value: float, d_value: float
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) -> np.ndarray:
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"""
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Implements the Soboleva Modified Hyperbolic Tangent function
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Parameters:
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vector (ndarray): A vector that consists of numeric values
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a_value (float): parameter a of the equation
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b_value (float): parameter b of the equation
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c_value (float): parameter c of the equation
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d_value (float): parameter d of the equation
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Returns:
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vector (ndarray): Input array after applying SMHT function
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>>> vector = np.array([5.4, -2.4, 6.3, -5.23, 3.27, 0.56])
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>>> soboleva_modified_hyperbolic_tangent(vector, 0.2, 0.4, 0.6, 0.8)
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array([ 0.11075085, -0.28236685, 0.07861169, -0.1180085 , 0.22999056,
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0.1566043 ])
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"""
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# Separate the numerator and denominator for simplicity
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# Calculate the numerator and denominator element-wise
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numerator = np.exp(a_value * vector) - np.exp(-b_value * vector)
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denominator = np.exp(c_value * vector) + np.exp(-d_value * vector)
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# Calculate and return the final result element-wise
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return numerator / denominator
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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