The rectifier function, defined by. More...

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

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

template
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

◆ Deriv() [1/2]

static double Deriv ( const double x )

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 RectifierFunction::Deriv().

◆ Deriv() [2/2]

static void Deriv	(	const InputType &	y,
		OutputType &	x
	)

inlinestatic

Computes the first derivatives of the rectifier function.

Parameters

y	Input data.
x	The resulting derivatives.

Definition at line 103 of file rectifier_function.hpp.

References RectifierFunction::Deriv().

◆ Fn() [1/3]

static double 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.

◆ Fn() [2/3]

static void 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.

◆ Fn() [3/3]

static void 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 79 of file rectifier_function.hpp.

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

/home/jenkins-mlpack/mlpack.org/_src/mlpack-3.4.2/src/mlpack/methods/ann/activation_functions/rectifier_function.hpp

Static Public Member Functions

Detailed Description

Member Function Documentation

◆ Deriv() [1/2]

◆ Deriv() [2/2]

◆ Fn() [1/3]

◆ Fn() [2/3]

◆ Fn() [3/3]