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词汇 Sigmoid curve
分类 英语词汇 英语翻译词典
释义

Sigmoid curve

原声例句
呼吸系统

It looks like an S, and as such we call it a sigmoid curve.

它看起来像S，因此我们称之为S形曲线。

中文百科

S函数 Sigmoid function

（重定向自Sigmoid curve）
Sigmoid function 2D plot
Sigmoid function complex plot

S函数得名因其形状像S字母。


S函数的级数展开为：

s := 1/2+\frac{1}{4}t-\frac{1}{48}t^3+\frac{1}{480}t^5-\frac{17}{80640}t^7+\frac{31}{1451520}t^9-\frac{691}{319334400}t^{11}+O(t^{12})

英语百科

Sigmoid function S函数

（重定向自Sigmoid curve）
The logistic curve
Plot of the error function
Some sigmoid functions compared. In the drawing all functions are normalized in such a way that their slope at the origin is 1.
Sigmoid function 2D plot

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.
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