C# Class Accord.Statistics.Links.LogitLinkFunction

Inheritance: ILinkFunction

Public Methods

Method	Description
Clone ( ) : object	Creates a new object that is a copy of the current instance.
Derivative ( double x ) : double	First derivative of the Inverse function. The first derivative of the identity link function is given by `f'(x) = y * (1.0 - y)` where `y = f(x)` is the Logit function.
Derivative2 ( double y ) : double	First derivative of the mean function expressed in terms of it's output. The first derivative of the Logit link function in terms of y = f(x) is given by `y * (1.0 - y)`.
Function ( double x ) : double	The Logit link function. The inverse Logit link function is given by `f(x) = (Math.Log(x / (1.0 - x)) - A) / B`.
Inverse ( double x ) : double	The Logit mean (activation) function. The inverse Logit link function is given by `g(x) = 1.0 / (1.0 + Math.Exp(-z)` in which `z = B * x + A`.
Log ( double x ) : double	The logarithm of the inverse of the link function.
LogitLinkFunction ( ) : System	Initializes a new instance of the LogitLinkFunction class.
LogitLinkFunction ( double beta, double constant ) : System	Creates a new Logit link function.

Creates a new object that is a copy of the current instance.

public Clone ( ) : object
return	object

First derivative of the Inverse function.

The first derivative of the identity link function is given by f'(x) = y * (1.0 - y) where y = f(x) is the Logit function.

public Derivative ( double x ) : double
x	double	The input value.
return	double

First derivative of the mean function expressed in terms of it's output.

The first derivative of the Logit link function in terms of y = f(x) is given by y * (1.0 - y).

public Derivative2 ( double y ) : double
y	double	The reverse transformed value.
return	double

The Logit link function.

The inverse Logit link function is given by f(x) = (Math.Log(x / (1.0 - x)) - A) / B.

public Function ( double x ) : double
x	double	An input value.
return	double

The Logit mean (activation) function.

The inverse Logit link function is given by g(x) = 1.0 / (1.0 + Math.Exp(-z) in which z = B * x + A.

public Inverse ( double x ) : double
x	double	A transformed value.
return	double

The logarithm of the inverse of the link function.

Initializes a new instance of the LogitLinkFunction class.

public LogitLinkFunction ( ) : System
return	System

Creates a new Logit link function.

public LogitLinkFunction ( double beta, double constant ) : System
beta	double	The beta value. Default is 1.
constant	double	The constant value. Default is 0.
return	System