The logistic function, defined by.
More...
#include <logistic_function.hpp>
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template<typename eT > |
static double | Fn (const eT x) |
| Computes the logistic function. More...
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template<typename InputVecType , typename OutputVecType > |
static void | Fn (const InputVecType &x, OutputVecType &y) |
| Computes the logistic function. More...
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static double | Deriv (const double x) |
| Computes the first derivative of the logistic function. More...
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template<typename InputVecType , typename OutputVecType > |
static void | Deriv (const InputVecType &y, OutputVecType &x) |
| Computes the first derivatives of the logistic function. More...
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static double | Inv (const double y) |
| Computes the inverse of the logistic function. More...
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template<typename InputVecType , typename OutputVecType > |
static void | Inv (const InputVecType &y, OutputVecType &x) |
| Computes the inverse of the logistic function. More...
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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*}
◆ Deriv() [1/2]
static double mlpack::ann::LogisticFunction::Deriv |
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const double |
x | ) |
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inlinestatic |
Computes the first derivative of the logistic function.
- Parameters
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- Returns
- f'(x)
◆ Deriv() [2/2]
template<typename InputVecType , typename OutputVecType >
static void mlpack::ann::LogisticFunction::Deriv |
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const InputVecType & |
y, |
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OutputVecType & |
x |
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) |
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inlinestatic |
Computes the first derivatives of the logistic function.
- Parameters
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y | Input activations. |
x | The resulting derivatives. |
◆ Fn() [1/2]
template<typename eT >
static double mlpack::ann::LogisticFunction::Fn |
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const eT |
x | ) |
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inlinestatic |
Computes the logistic function.
- Parameters
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- Returns
- f(x).
◆ Fn() [2/2]
template<typename InputVecType , typename OutputVecType >
static void mlpack::ann::LogisticFunction::Fn |
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const InputVecType & |
x, |
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OutputVecType & |
y |
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) |
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inlinestatic |
Computes the logistic function.
- Parameters
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x | Input data. |
y | The resulting output activation. |
◆ Inv() [1/2]
static double mlpack::ann::LogisticFunction::Inv |
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const double |
y | ) |
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inlinestatic |
Computes the inverse of the logistic function.
- Parameters
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- Returns
- f^{-1}(y)
◆ Inv() [2/2]
template<typename InputVecType , typename OutputVecType >
static void mlpack::ann::LogisticFunction::Inv |
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const InputVecType & |
y, |
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OutputVecType & |
x |
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) |
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inlinestatic |
Computes the inverse of the logistic function.
- Parameters
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y | Input data. |
x | The resulting inverse of the input data. |
The documentation for this class was generated from the following file: