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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.
==Definition==
A sigmoid function is a bounded differentiable real function that is defined for all real input values and has a positive derivative at each point.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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