C# Class Accord.Statistics.Links.CauchitLinkFunction

Inheritance: ILinkFunction

Public Methods

Method	Description
CauchitLinkFunction ( ) : System	Creates a new Cauchit link function.
CauchitLinkFunction ( double beta, double constant ) : System	Creates a new Cauchit link function.
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 Cauchit link function in terms of y = f(x) is given by `f'(y) = B / (x * x + 1)`
Derivative2 ( double y ) : double	First derivative of the mean function expressed in terms of it's output. The first derivative of the Cauchit link function in terms of y = f(x) is given by `f'(y) = B / (tan((y - A) / B)² + 1)`
Function ( double x ) : double	The Cauchit link function. The Cauchit link function is given by `f(x) = tan((x - A) / B)`.
Inverse ( double x ) : double	The Cauchit mean (activation) function. The inverse Cauchit link function is given by `g(x) = tan(x) * B + A`.
Log ( double x ) : double	The logarithm of the inverse of the link function.

Creates a new Cauchit link function.

public CauchitLinkFunction ( ) : System
return	System

Creates a new Cauchit link function.

public CauchitLinkFunction ( double beta, double constant ) : System
beta	double	The beta value. Default is 1/pi.
constant	double	The constant value. Default is 0.5.
return	System

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 Cauchit link function in terms of y = f(x) is given by f'(y) = B / (x * x + 1)

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 Cauchit link function in terms of y = f(x) is given by f'(y) = B / (tan((y - A) / B)² + 1)

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

The Cauchit link function.

The Cauchit link function is given by f(x) = tan((x - A) / B).

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

The Cauchit mean (activation) function.

The inverse Cauchit link function is given by g(x) = tan(x) * B + A.

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

The logarithm of the inverse of the link function.