The softplus function, defined by. More...

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

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

static double	Fn (const double x)
	Computes the softplus function. More...

template<typename InputType , typename OutputType >
static void	Fn (const InputType &x, OutputType &y)
	Computes the softplus function. More...

static double	Inv (const double y)
	Computes the inverse of the softplus function. More...

template<typename InputType , typename OutputType >
static void	Inv (const InputType &y, OutputType &x)
	Computes the inverse of the softplus function. More...

Detailed Description

The softplus function, defined by.

$\begin{eqnarray*} f(x) &=& \ln(1 + e^{x}) \\ f'(x) &=& \frac{1}{1 + e^{-x}} \\ f^{-1}(y) &=& \ln(e^{y} - 1) \end{eqnarray*}$

Definition at line 43 of file softplus_function.hpp.

Member Function Documentation

static double Deriv ( const double y )

inlinestatic

Computes the first derivative of the softplus function.

Parameters

y	Input data.

Returns: f'(x)

Definition at line 81 of file softplus_function.hpp.

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

inlinestatic

Computes the first derivatives of the softplus function.

Parameters

y	Input data.
x	The resulting derivatives.

Definition at line 93 of file softplus_function.hpp.

static double Fn ( const double x )

inlinestatic

Computes the softplus function.

Parameters

x	Input data.

Returns: f(x).

Definition at line 52 of file softplus_function.hpp.

Referenced by SoftplusFunction::Fn().

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

inlinestatic

Computes the softplus function.

Parameters

x	Input data.
y	The resulting output activation.

Definition at line 67 of file softplus_function.hpp.

References SoftplusFunction::Fn().

static double Inv ( const double y )

inlinestatic

Computes the inverse of the softplus function.

Parameters

y	Input data.

Returns: f^{-1}(y)

Definition at line 104 of file softplus_function.hpp.

Referenced by SoftplusFunction::Inv().

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

inlinestatic

Computes the inverse of the softplus function.

Parameters

y	Input data.
x	The resulting inverse of the input data.

Definition at line 119 of file softplus_function.hpp.

References SoftplusFunction::Inv().

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

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

Static Public Member Functions

Detailed Description

Member Function Documentation