lsapy.standardize.vetharaniam2022_eq5#

lsapy.standardize.vetharaniam2022_eq5(x, a, b)[source]#

Sigmoid like function.

This function is a modified version of the logistic function that can for both increasing and decreasing sigmoid-like data, but only for positive values of x.

Parameters:

  • x (any) – Input values.

  • a (float | int) – Steepness of the function parameter.

  • b (float | int) – Value of the function’s midpoint.

Returns:

Output values.

Return type:

ndarray

Notes

Alternative name: VTR22_eq5. The sigmoid like function is defined as:

\[f(x) = \frac{1}{1 + e^{a(\sqrt{x} - \sqrt{b})}}\]

References

Vetharaniam, Müller, Stanley, van den Dijssel, Timar, and Clothier [2022]