SoftplusFunction Class Reference

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

◆ Deriv() [1/2]

static double Deriv ( const double  y)
inlinestatic

Computes the first derivative of the softplus function.

Parameters
yInput data.
Returns
f'(x)

Definition at line 81 of file softplus_function.hpp.

◆ Deriv() [2/2]

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

Computes the first derivatives of the softplus function.

Parameters
yInput data.
xThe resulting derivatives.

Definition at line 93 of file softplus_function.hpp.

◆ Fn() [1/2]

static double Fn ( const double  x)
inlinestatic

Computes the softplus function.

Parameters
xInput data.
Returns
f(x).

Definition at line 52 of file softplus_function.hpp.

Referenced by SoftplusFunction::Fn().

◆ Fn() [2/2]

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

Computes the softplus function.

Parameters
xInput data.
yThe resulting output activation.

Definition at line 67 of file softplus_function.hpp.

References SoftplusFunction::Fn().

◆ Inv() [1/2]

static double Inv ( const double  y)
inlinestatic

Computes the inverse of the softplus function.

Parameters
yInput data.
Returns
f^{-1}(y)

Definition at line 104 of file softplus_function.hpp.

Referenced by SoftplusFunction::Inv().

◆ Inv() [2/2]

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

Computes the inverse of the softplus function.

Parameters
yInput data.
xThe 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:
  • /home/jenkins-mlpack/mlpack.org/_src/mlpack-git/src/mlpack/methods/ann/activation_functions/softplus_function.hpp