The rectifier function, defined by. More...

Static Public Member Functions
static double	deriv (const double y)
	Computes the first derivative of the rectifier function. More...

template<typename InputType , typename OutputType >
static void	deriv (const InputType &y, OutputType &x)
	Computes the first derivatives of the rectifier function. More...

static double	fn (const double x)
	Computes the rectifier function. More...

template<typename eT >
static void	fn (const arma::Mat< eT > &x, arma::Mat< eT > &y)
	Computes the rectifier function using a dense matrix as input. More...

template<typename eT >
static void	fn (const arma::Cube< eT > &x, arma::Cube< eT > &y)
	Computes the rectifier function using a 3rd-order tensor as input. More...

Detailed Description

The rectifier function, defined by.

$\begin{eqnarray*} f(x) &=& \max(0, x) \\ f'(x) &=& \left\{ \begin{array}{lr} 1 & : x > 0 \\ 0 & : x \le 0 \end{array} \right. \end{eqnarray*}$

Definition at line 45 of file rectifier_function.hpp.

Member Function Documentation

static double mlpack::ann::RectifierFunction::deriv ( const double y )

inlinestatic

Computes the first derivative of the rectifier function.

Parameters

x	Input data.

Returns: f'(x)

Definition at line 91 of file rectifier_function.hpp.

Referenced by deriv().

template<typename InputType , typename OutputType >

static void mlpack::ann::RectifierFunction::deriv	(	const InputType &	y,
		OutputType &	x
	)

inlinestatic

Computes the first derivatives of the rectifier function.

Parameters

y	Input activations.
x	The resulting derivatives.

Definition at line 103 of file rectifier_function.hpp.

References deriv().

static double mlpack::ann::RectifierFunction::fn ( const double x )

inlinestatic

Computes the rectifier function.

Parameters

x	Input data.

Returns: f(x).

Definition at line 54 of file rectifier_function.hpp.

Referenced by fn().

template<typename eT >

static void mlpack::ann::RectifierFunction::fn	(	const arma::Mat< eT > &	x,
		arma::Mat< eT > &	y
	)

inlinestatic

Computes the rectifier function using a dense matrix as input.

Parameters

x	Input data.
y	The resulting output activation.

Definition at line 66 of file rectifier_function.hpp.

template<typename eT >

static void mlpack::ann::RectifierFunction::fn	(	const arma::Cube< eT > &	x,
		arma::Cube< eT > &	y
	)

inlinestatic

Computes the rectifier function using a 3rd-order tensor as input.

Parameters

x	Input data.
y	The resulting output activation.

Definition at line 78 of file rectifier_function.hpp.

References fn().

The documentation for this class was generated from the following file:

src/mlpack/methods/ann/activation_functions/rectifier_function.hpp

Static Public Member Functions

Detailed Description

Member Function Documentation