GClasses::GActivationAlgebraic Class Reference

An algebraic activation function. (This is a hyperbola divided by x.) More...

#include <GActivation.h>

Inheritance diagram for GClasses::GActivationAlgebraic:

Public Member Functions
virtual double	center ()
	Returns 0.0. More...
virtual GActivationFunction *	clone ()
	See the comment for GActivationFunction::clone. More...
virtual double	derivative (double x)
	Returns 1.0/(sqrt(x*x+1))-(x*x)/pow(x*x+1,1.5) More...
virtual double	halfRange ()
	Returns 1.0. More...
virtual double	identityBias ()
	Returns 0.0. More...
virtual double	identityDiag ()
	Returns 1.0. More...
virtual double	inverse (double y)
	Returns y / (sqrt(1.0 - (y * y))) More...
virtual const char *	name () const
	Returns the name of this activation function. More...
virtual double	squash (double x)
	Returns x/(sqrt(x*x+1.0). The result is in the range -1 <= y <= 1. More...
Public Member Functions inherited from GClasses::GActivationFunction
	GActivationFunction ()
virtual	~GActivationFunction ()
virtual double	derivativeOfNet (double net, double activation)
	This computes the derivative of the net value. (Sometimes, such as with GActivationLogistic, it is more efficient to compute this from the activation value, so both are provided.) More...
GDomNode *	serialize (GDom *pDoc) const
	Serialize this object. More...

Additional Inherited Members
Static Public Member Functions inherited from GClasses::GActivationFunction
static GActivationFunction *	deserialize (GDomNode *pNode)
	Deserialize this object. More...

Detailed Description

An algebraic activation function. (This is a hyperbola divided by x.)

Member Function Documentation

virtual double GClasses::GActivationAlgebraic::center ( )

inlinevirtual

Returns 0.0.

Implements GClasses::GActivationFunction.

virtual GActivationFunction* GClasses::GActivationAlgebraic::clone ( )

inlinevirtual

See the comment for GActivationFunction::clone.

Implements GClasses::GActivationFunction.

virtual double GClasses::GActivationAlgebraic::derivative ( double  x )

inlinevirtual

Returns 1.0/(sqrt(x*x+1))-(x*x)/pow(x*x+1,1.5)

Implements GClasses::GActivationFunction.

virtual double GClasses::GActivationAlgebraic::halfRange ( )

inlinevirtual

Returns 1.0.

Implements GClasses::GActivationFunction.

virtual double GClasses::GActivationAlgebraic::identityBias ( )

inlinevirtual

Returns 0.0.

Implements GClasses::GActivationFunction.

virtual double GClasses::GActivationAlgebraic::identityDiag ( )

inlinevirtual

Returns 1.0.

Implements GClasses::GActivationFunction.

virtual double GClasses::GActivationAlgebraic::inverse ( double  y )

inlinevirtual

Returns y / (sqrt(1.0 - (y * y)))

Implements GClasses::GActivationFunction.

virtual const char* GClasses::GActivationAlgebraic::name ( ) const

inlinevirtual

Returns the name of this activation function.

Implements GClasses::GActivationFunction.

virtual double GClasses::GActivationAlgebraic::squash ( double  x )

inlinevirtual

Returns x/(sqrt(x*x+1.0). The result is in the range -1 <= y <= 1.

Implements GClasses::GActivationFunction.