 Logistic function

The standard logistic function maps a log odds $z$ to probability $1/(1+e^{-z})$. More generally, its translated and scaled form is $L/(1+e^{-k(x-x_0)})$.

The logistic function is a common sigmoid curve often used in statistics, biology, and machine learning to model growth processes, probabilities, and binary outcomes. It is defined mathematically by the formula: \[ f(x) = \frac{L}{1 + e^{-k(x - x_0)}} \] where: - \(f(x)\) is the output of the logistic function.