mlpack::ann::KathirvalavakumarSubavathiInitialization Class Reference

This class is used to initialize the weight matrix with the method proposed by T. More...

#include <kathirvalavakumar_subavathi_init.hpp>

Public Member Functions
template<typename eT >
	KathirvalavakumarSubavathiInitialization (const arma::Mat< eT > &data, const double s)
	Initialize the random initialization rule with the given values. More...
template<typename eT >
void	Initialize (arma::Mat< eT > &W, const size_t rows, const size_t cols)
	Initialize the elements of the specified weight matrix with the Kathirvalavakumar-Subavathi method. More...
template<typename eT >
void	Initialize (arma::Mat< eT > &W)
	Initialize the elements of the specified weight matrix with the Kathirvalavakumar-Subavathi method. More...
template<typename eT >
void	Initialize (arma::Cube< eT > &W, const size_t rows, const size_t cols, const size_t slices)
	Initialize the elements of the specified weight 3rd order tensor with the Kathirvalavakumar-Subavathi method. More...
template<typename eT >
void	Initialize (arma::Cube< eT > &W)
	Initialize the elements of the specified weight 3rd order tensor with the Kathirvalavakumar-Subavathi method. More...

Detailed Description

This class is used to initialize the weight matrix with the method proposed by T.

Kathirvalavakumar and S. Subavathi. The method is based on sensitivity analysis using using cauchy’s inequality. The method is defined by

\begin{eqnarray*} \overline{s} &=& f^{-1}(\overline{t}) \\ \Theta^{1}_{p} &\le& \overline{s} \sqrt{\frac{3}{I \sum_{i = 1}^{I} (x_{ip}^2)}} \\ \Theta^1 &=& min(\Theta_{p}^{1}); p=1,2,..,P \\ -\Theta^{1} \le w_{i}^{1} &\le& \Theta^{1} \end{eqnarray*}

where I is the number of inputs including the bias, p refers the pattern considered in training, f is the transfer function and \={s} is the active region in which the derivative of the activation function is greater than 4% of the maximum derivatives.

Constructor & Destructor Documentation

KathirvalavakumarSubavathiInitialization()

template<typename eT >

mlpack::ann::KathirvalavakumarSubavathiInitialization::KathirvalavakumarSubavathiInitialization ( const arma::Mat< eT > &  data, const double  s  )

inline

Initialize the random initialization rule with the given values.

Parameters

data	The input patterns.
s	Parameter that defines the active region.

Member Function Documentation

Initialize() [1/4]

template<typename eT >

void mlpack::ann::KathirvalavakumarSubavathiInitialization::Initialize ( arma::Mat< eT > &  W, const size_t  rows, const size_t  cols  )

inline

Initialize the elements of the specified weight matrix with the Kathirvalavakumar-Subavathi method.

Parameters

W	Weight matrix to initialize.
rows	Number of rows.
cols	Number of columns.

Initialize() [2/4]

template<typename eT >

void mlpack::ann::KathirvalavakumarSubavathiInitialization::Initialize ( arma::Mat< eT > &  W )

inline

Initialize the elements of the specified weight matrix with the Kathirvalavakumar-Subavathi method.

Parameters

W	Weight matrix to initialize.

Initialize() [3/4]

template<typename eT >

void mlpack::ann::KathirvalavakumarSubavathiInitialization::Initialize ( arma::Cube< eT > &  W, const size_t  rows, const size_t  cols, const size_t  slices  )

inline

Initialize the elements of the specified weight 3rd order tensor with the Kathirvalavakumar-Subavathi method.

Parameters

W	Weight matrix to initialize.
rows	Number of rows.
cols	Number of columns.
slices	Number of slices

Initialize() [4/4]

template<typename eT >

void mlpack::ann::KathirvalavakumarSubavathiInitialization::Initialize ( arma::Cube< eT > &  W )

inline

Initialize the elements of the specified weight 3rd order tensor with the Kathirvalavakumar-Subavathi method.

Parameters

W	Weight matrix to initialize.

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

• src/mlpack/methods/ann/init_rules/kathirvalavakumar_subavathi_init.hpp