The logistic function, defined by. More...

Static Public Member Functions
static double	Deriv (const double x)
	Computes the first derivative of the logistic function. More...

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

template
static double	Fn (const eT x)
	Computes the logistic function. More...

template
static void	Fn (const InputVecType &x, OutputVecType &y)
	Computes the logistic function. More...

static double	Inv (const double y)
	Computes the inverse of the logistic function. More...

template
static void	Inv (const InputVecType &y, OutputVecType &x)
	Computes the inverse of the logistic function. More...

Detailed Description

The logistic function, defined by.

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

Definition at line 29 of file logistic_function.hpp.

Member Function Documentation

◆ Deriv() [1/2]

static double Deriv ( const double x )

inlinestatic

Computes the first derivative of the logistic function.

Parameters

x	Input activation.

Returns: f'(x)

Definition at line 70 of file logistic_function.hpp.

◆ Deriv() [2/2]

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

inlinestatic

Computes the first derivatives of the logistic function.

Parameters

y	Input activations.
x	The resulting derivatives.

Definition at line 82 of file logistic_function.hpp.

◆ Fn() [1/2]

static double Fn ( const eT x )

inlinestatic

Computes the logistic function.

Parameters

x	Input data.

Returns: f(x).

Definition at line 39 of file logistic_function.hpp.

◆ Fn() [2/2]

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

inlinestatic

Computes the logistic function.

Parameters

x	Input data.
y	The resulting output activation.

Definition at line 59 of file logistic_function.hpp.

◆ Inv() [1/2]

static double Inv ( const double y )

inlinestatic

Computes the inverse of the logistic function.

Parameters

y	Input data.

Returns: f^{-1}(y)

Definition at line 93 of file logistic_function.hpp.

◆ Inv() [2/2]

static void Inv	(	const InputVecType &	y,
		OutputVecType &	x
	)

inlinestatic

Computes the inverse of the logistic function.

Parameters

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

Definition at line 105 of file logistic_function.hpp.

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

/home/jenkins-mlpack/mlpack.org/_src/mlpack-3.4.2/src/mlpack/methods/ann/activation_functions/logistic_function.hpp

Static Public Member Functions

Detailed Description

Member Function Documentation

◆ Deriv() [1/2]

◆ Deriv() [2/2]

◆ Fn() [1/2]

◆ Fn() [2/2]

◆ Inv() [1/2]

◆ Inv() [2/2]