The ELiSH function, defined by. More...

#include <elish_function.hpp>

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

y	Input 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

y	Input data.
x	The 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

x	Input 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

x	Input data.
y	The resulting output activations.

Definition at line 72 of file elish_function.hpp.

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

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

Static Public Member Functions

Detailed Description

Member Function Documentation

◆ Deriv() [1/2]

◆ Deriv() [2/2]

◆ Fn() [1/2]

◆ Fn() [2/2]