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Logistic Function

PreviousLogistic RegressionNextGaussian Discriminant Analysis

Last updated 6 years ago

A logistic function or logistic curve is a common "S" shape (), with equation:

where

  • e = the base (also known as ),

  • x0 = the x-value of the sigmoid's midpoint,

  • L = the curve's maximum value, and

  • k = the steepness of the curve.

sigmoid curve
natural logarithm
Euler's number
{\displaystyle f(x)={\frac {L}{1+e^{-k(x-x_{0})}}}}