The tanh function, defined by. More...

Static Public Member Functions
static double	deriv (const double y)
	Computes the first derivative of the tanh function. More...

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

static double	fn (const double x)
	Computes the tanh function. More...

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

static double	inv (const double y)
	Computes the inverse of the tanh function. More...

template<typename InputVecType , typename OutputVecType >
static void	inv (const InputVecType &y, OutputVecType &x)
	Computes the inverse of the tanh function. More...

Detailed Description

The tanh function, defined by.

$\begin{eqnarray*} f(x) &=& \frac{e^x - e^{-x}}{e^x + e^{-x}} \\ f'(x) &=& 1 - \tanh^2(x) \\ f^{-1}(x) &=& \arctan(x) \end{eqnarray*}$

Definition at line 29 of file tanh_function.hpp.

Member Function Documentation

static double mlpack::ann::TanhFunction::deriv ( const double y )

inlinestatic

Computes the first derivative of the tanh function.

Parameters

y	Input data.

Returns: f'(x)

Definition at line 61 of file tanh_function.hpp.

template<typename InputVecType , typename OutputVecType >

static void mlpack::ann::TanhFunction::deriv	(	const InputVecType &	y,
		OutputVecType &	x
	)

inlinestatic

Computes the first derivatives of the tanh function.

Parameters

y	Input data.
x	The resulting derivatives.

Definition at line 73 of file tanh_function.hpp.

static double mlpack::ann::TanhFunction::fn ( const double x )

inlinestatic

Computes the tanh function.

Parameters

x	Input data.

Returns: f(x).

Definition at line 38 of file tanh_function.hpp.

template<typename InputVecType , typename OutputVecType >

static void mlpack::ann::TanhFunction::fn	(	const InputVecType &	x,
		OutputVecType &	y
	)

inlinestatic

Computes the tanh function.

Parameters

x	Input data.
y	The resulting output activation.

Definition at line 50 of file tanh_function.hpp.

static double mlpack::ann::TanhFunction::inv ( const double y )

inlinestatic

Computes the inverse of the tanh function.

Parameters

y	Input data.

Returns: f^{-1}(x)

Definition at line 84 of file tanh_function.hpp.

template<typename InputVecType , typename OutputVecType >

static void mlpack::ann::TanhFunction::inv	(	const InputVecType &	y,
		OutputVecType &	x
	)

inlinestatic

Computes the inverse of the tanh function.

Parameters

y	Input data.
x	The resulting inverse of the input data.

Definition at line 96 of file tanh_function.hpp.

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

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

Static Public Member Functions

Detailed Description

Member Function Documentation