HardSigmoidFunction Class Reference

The hard sigmoid function, defined by. More...

Static Public Member Functions

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

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

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

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

 

Detailed Description

The hard sigmoid function, defined by.

\begin{eqnarray*} f(x) &=& \min(1, \max(0, 0.2 * x + 0.5)) \\ f'(x) &=& \left\{ \begin{array}{lr} 0.0 & : x={0,1} \\ 0.2 \end{array} \right. \end{eqnarray*}

Definition at line 34 of file hard_sigmoid_function.hpp.

Member Function Documentation

◆ Deriv() [1/2]

static double Deriv ( const double  y)
inlinestatic

Computes the first derivatives of hard sigmoid function.

Parameters
yInput data.
Returns
f'(x)

Definition at line 69 of file hard_sigmoid_function.hpp.

Referenced by HardSigmoidFunction::Deriv().

◆ Deriv() [2/2]

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

Computes the first derivatives of the hard sigmoid function.

Parameters
yInput activations.
xThe resulting derivatives.

Definition at line 85 of file hard_sigmoid_function.hpp.

References HardSigmoidFunction::Deriv().

◆ Fn() [1/2]

static double Fn ( const double  x)
inlinestatic

Computes the hard sigmoid function.

Parameters
xInput data.
Returns
f(x).

Definition at line 43 of file hard_sigmoid_function.hpp.

Referenced by HardSigmoidFunction::Fn().

◆ Fn() [2/2]

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

Computes the hard sigmoid function.

Parameters
xInput data.
yThe resulting output activations.

Definition at line 55 of file hard_sigmoid_function.hpp.

References HardSigmoidFunction::Fn().


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