Double Logistic Function
The double logistic is a function similar to the logistic function with numerous applications. Its general formula is:
where d is its centre and s is the steepness factor. Here "sgn" represents the sign function.
It is based on the Gaussian curve and graphically it is similar to two identical logistic sigmoids bonded together at the point x = d.
One of its applications is non-linear normalization of a sample, as it has the property of eliminating outliers.
Read more about this topic: Logistic Function
Famous quotes containing the words double and/or function:
“We are, I know not how, double within ourselves, with the result that we do not believe what we believe, and we cannot rid ourselves of what we condemn.”
—Michel de Montaigne (1533–1592)
“The mother’s and father’s attitudes toward the child correspond to the child’s own needs.... Mother has the function of making him secure in life, father has the function of teaching him, guiding him to cope with those problems with which the particular society the child has been born into confronts him.”
—Erich Fromm (1900–1980)