mlpack::ann::ElishFunction Class Reference

The ELiSH function, defined by. More...

#include <elish_function.hpp>

Static Public Member Functions
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...
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...

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*}

Member Function Documentation

Deriv() [1/2]

static double mlpack::ann::ElishFunction::Deriv ( const double  y )

inlinestatic

Computes the first derivatives of ELiSH function.

Parameters

y	Input data.

Returns

f'(x).

Deriv() [2/2]

template<typename InputVecType , typename OutputVecType >

static void mlpack::ann::ElishFunction::Deriv ( const InputVecType &  y, OutputVecType &  x  )

inlinestatic

Computes the first derivatives of the ELiSH function.

Parameters

y	Input data.
x	The resulting derivatives.

Fn() [1/2]

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

inlinestatic

Computes the ELiSH function.

Parameters

x	Input data.

Returns

f(x).

Fn() [2/2]

template<typename InputVecType , typename OutputVecType >

static void mlpack::ann::ElishFunction::Fn ( const InputVecType &  x, OutputVecType &  y  )

inlinestatic

Computes the ELiSH function.

Parameters

x	Input data.
y	The resulting output activations.

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

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