45 results about "Sigmoid function" patented technology

A sigmoid function is a mathematical function having a characteristic "S"-shaped curve or sigmoid curve. A standard choice for a sigmoid function is the logistic function shown in the first figure and defined by the formula S(x)=1/(1+e⁻ˣ)=eˣ/(eˣ+1). Other standard sigmoid functions are given in the Examples section. Special cases of the sigmoid function include the Gompertz curve (used in modeling systems that saturate at large values of x) and the ogee curve (used in the spillway of some dams).