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:
“The worst feature of this double consciousness is, that the two lives, of the understanding and of the soul, which we lead, really show very little relation to each other; never meet and measure each other: one prevails now, all buzz and din; and the other prevails then, all infinitude and paradise; and, with the progress of life, the two discover no greater disposition to reconcile themselves.”
—Ralph Waldo Emerson (1803–1882)
“The art of living is to function in society without doing violence to one’s own needs or to the needs of others. The art of mothering is to teach the art of living to children.”
—Elaine Heffner (20th century)