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Static Public Member Functions | List of all members
ElishFunction Class Reference

The ELiSH function, defined by. More...

Static Public Member Functions

static double Deriv (const double y)
 Computes the first derivatives of ELiSH function. More...

 
template
<
typename
InputVecType
,
typename
OutputVecType
>
static void Deriv (const InputVecType &y, OutputVecType &x)
 Computes the first derivatives of the ELiSH function. More...

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

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

 

Detailed Description

The ELiSH function, defined by.

\begin{eqnarray*} f(x) &=& \begin{cases} x / (1 + e^{-x}) & x \geq 0\\ (e^{x} - 1) / (1 + e^{-x}) & x < 0.\\ \end{cases} \\ f'(x) &=& \begin{cases} 1 / (1 + e^{-y}) + y * e^{-y} / (1 + e^{-y})^2 & x \geq 0\\ e^y - 2 / (1 + e^y) + 2 / (1 + e^y)^2 & x < 0.\\ \end{cases} \end{eqnarray*}

Definition at line 48 of file elish_function.hpp.

Member Function Documentation

◆ Deriv() [1/2]

static double Deriv ( const double  y)
inlinestatic

Computes the first derivatives of ELiSH function.

Parameters
yInput data.
Returns
f'(x).

Definition at line 84 of file elish_function.hpp.

◆ Deriv() [2/2]

static void Deriv ( const InputVecType &  y,
OutputVecType &  x 
)
inlinestatic

Computes the first derivatives of the ELiSH function.

Parameters
yInput data.
xThe resulting derivatives.

Definition at line 103 of file elish_function.hpp.

◆ Fn() [1/2]

static double Fn ( const double  x)
inlinestatic

Computes the ELiSH function.

Parameters
xInput data.
Returns
f(x).

Definition at line 57 of file elish_function.hpp.

◆ Fn() [2/2]

static void Fn ( const InputVecType &  x,
OutputVecType &  y 
)
inlinestatic

Computes the ELiSH function.

Parameters
xInput data.
yThe resulting output activations.

Definition at line 72 of file elish_function.hpp.

The documentation for this class was generated from the following file:
  • /home/ryan/src/mlpack.org/_src/mlpack-git/src/mlpack/methods/ann/activation_functions/elish_function.hpp