numpy
  1. numpy-arctanh

arctanh() - ( NumPy Functions )

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Syntax

numpy.arctanh(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj])

Example

import numpy as np

x = np.tanh(np.array([0.5, -0.3, 0.1]))
y = np.arctanh(x)

print(y)

Output

[ 0.54930614 -0.3095196   0.10033535]

Explanation

The arctanh() function in NumPy returns the inverse hyperbolic tangent of a value. The input value should be in the range [-1, 1]. The output value will be in the range [-inf, +inf].

Use

The arctanh() function is useful in many applications, including signal processing, statistics, and machine learning. In machine learning, the arctanh() function is used in neural networks to map values between -1 and 1 to a range between -inf and +inf.

Important Points

  • The arctanh() function in NumPy returns the inverse hyperbolic tangent of a value
  • The input value should be in the range [-1, 1]
  • The output value will be in the range [-inf, +inf]

Summary

In conclusion, the arctanh() function in NumPy is used to calculate the inverse hyperbolic tangent of a value. The function takes an input value in the range [-1, 1] and returns a value in the range [-inf, +inf]. The function is commonly used in machine learning applications, where it is used to map values between the range of -1 and 1 to a range of -inf and +inf.

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