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 InputVecType , typename OutputVecType >
static void	deriv (const InputVecType &y, OutputVecType &x)
	Computes the first derivatives of the softplus function. More...

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

template<typename InputVecType , typename OutputVecType >
static void	fn (const InputVecType &x, OutputVecType &y)
	Computes the softplus function. More...

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

template<typename InputVecType , typename OutputVecType >
static void	inv (const InputVecType &y, OutputVecType &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 mlpack::ann::SoftplusFunction::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.

template<typename InputVecType , typename OutputVecType >

static void mlpack::ann::SoftplusFunction::deriv	(	const InputVecType &	y,
		OutputVecType &	x
	)

inlinestatic

Computes the first derivatives of the softplus function.

Parameters

y	Input activations.
x	The resulting derivatives.

Definition at line 93 of file softplus_function.hpp.

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

inlinestatic

Computes the softplus function.

Parameters

x	Input data.

Returns: f(x).

Definition at line 53 of file softplus_function.hpp.

Referenced by fn().

template<typename InputVecType , typename OutputVecType >

static void mlpack::ann::SoftplusFunction::fn	(	const InputVecType &	x,
		OutputVecType &	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 fn().

static double mlpack::ann::SoftplusFunction::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 inv().

template<typename InputVecType , typename OutputVecType >

static void mlpack::ann::SoftplusFunction::inv	(	const InputVecType &	y,
		OutputVecType &	x
	)

inlinestatic

Computes the inverse of the softplus function.

Parameters

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

Definition at line 116 of file softplus_function.hpp.

References 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