mlpack::ann::SoftplusFunction Class Reference

The softplus function, defined by. More...

#include <softplus_function.hpp>

Static Public Member Functions
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	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	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*}

Member Function Documentation

Deriv() [1/2]

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)

Deriv() [2/2]

template<typename InputType , typename OutputType >

static void mlpack::ann::SoftplusFunction::Deriv ( const InputType &  y, OutputType &  x  )

inlinestatic

Computes the first derivatives of the softplus function.

Parameters

y	Input data.
x	The resulting derivatives.

Fn() [1/2]

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

inlinestatic

Computes the softplus function.

Parameters

x	Input data.

Returns

f(x).

Fn() [2/2]

template<typename InputType , typename OutputType >

static void mlpack::ann::SoftplusFunction::Fn ( const InputType &  x, OutputType &  y  )

inlinestatic

Computes the softplus function.

Parameters

x	Input data.
y	The resulting output activation.

Inv() [1/2]

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)

Inv() [2/2]

template<typename InputType , typename OutputType >

static void mlpack::ann::SoftplusFunction::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.

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

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