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Additional
sigmoid curve
English Wikipedia - The Free Encyclopedia
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Sigmoid function
A
sigmoid function
is a
mathematical function
having an "S" shape (
sigmoid curve
). Often,
sigmoid function
refers to the special case of the
logistic function
shown in the first figure and defined by the formula
Other examples of similar shapes include the
Gompertz curve
(used in modeling systems that saturate at large values of t) and the
ogee curve
(used in the
spillway
of some
dams
). A wide variety of sigmoid functions have been used as the
activation function
of
artificial neurons
, including the logistic and
hyperbolic tangent
functions. Sigmoid curves are also common in statistics as
cumulative distribution functions
, such as the integrals of the
logistic distribution
, the
normal distribution
, and
Student's t probability density functions
.
See more at Wikipedia.org...
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