STK_Kmm_sk.cpp

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/*--------------------------------------------------------------------*/
/*     Copyright (C) 2004-2016 Serge Iovleff
 
    This program is free software; you can redistribute it and/or modify
    it under the terms of the GNU Lesser General Public License as
    published by the Free Software Foundation; either version 2 of the
    License, or (at your option) any later version.
 
    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU Lesser General Public License for more details.
 
    You should have received a copy of the GNU Lesser General Public
    License along with this program; if not, write to the
    Free Software Foundation, Inc.,
    59 Temple Place,
    Suite 330,
    Boston, MA 02111-1307
    USA
 
    Contact : S..._DOT_I..._AT_stkpp.org (see copyright for ...)
*/
 
/*
 * Project:  stkpp::Clustering
 * created on: Oct 24, 2014
 * Author:   Serge Iovleff
 **/
 
#include <Analysis/include/STK_Const_Math.h>
#include <Clustering/include/KernelModels/STK_Kmm_sk.h>
#include <STatistiK/include/STK_Law_Normal.h>
#include <STatistiK/include/STK_Stat_Functors.h>
 
#if STK_MIXTURE_DEBUG | STK_MIXTURE_VERBOSE | STK_MIXTURE_VERY_VERBOSE
#include <Arrays/include/STK_Display.h>
#endif
 
namespace STK
{
/* default constructor
 * @param nbCluster number of cluster in the model
 **/
Kmm_sk::Kmm_sk( int nbCluster): Base(nbCluster) {}
/* copy constructor
 *  @param model The model to copy
 **/
Kmm_sk::Kmm_sk( Kmm_sk const& model): Base(model) {}
/* destructor */
Kmm_sk::~Kmm_sk() {}
/* @return the number of free parameters of the model */
int Kmm_sk::computeNbFreeParameters() const
{ return param_.dim_.sum() + this->nbCluster();}
 
/* @return the value of the probability of the i-th sample in the k-th component.
 *  @param i,k indexes of the sample and of the component
 **/
Real Kmm_sk::lnComponentProbability(int i, int k) const
{
  return(- dik_.elt(i,k)/(2.*param_.sigma2_[k])
         - (std::log(param_.sigma2_[k]) +2.*Const::_LNSQRT2PI_)*param_.dim_[k]/2.);
}
 
/* Initialize randomly the parameters of the Gaussian mixture. */
void Kmm_sk::randomInit( CArrayXX const* const& p_tik, CPointX const* const& p_tk)
{
#if STK_Kernel_DEBUG | STK_MIXTURE_VERBOSE
  stk_cout << _T("Entering Kmm_sk::randomInit( CArrayXX const* const& p_tik, CPointX const* const& p_tk)\n");
#endif
  compute_dik(p_tik, p_tk);
  param_.sigma2_ = sum( dik_.prod(*p_tik) )/ (*p_tk * param_.dim_)
                 + CPointX(p_tik->cols()).rand(Law::Normal(0, 0.05)).abs();
#ifdef STK_MIXTURE_VERY_VERBOSE
  stk_cout << _T("Kmm_sk::randomInit( CArrayXX const* const& p_tik, CPointX const* const& p_tk) done\n");
  stk_cout << param_.sigma2_ << "\n";
#endif
}
 
/* Compute the weighted means and the weighted standard deviations. */
bool Kmm_sk::run( CArrayXX const* const& p_tik, CPointX const* const& p_tk)
{
#if STK_Kernel_DEBUG | STK_MIXTURE_VERBOSE
  stk_cout << _T("Entering Kmm_sk::run( CArrayXX const* const& p_tik, CPointX const* const& p_tk)\n");
#endif
  compute_dik(p_tik, p_tk);
#ifdef STK_Kernel_DEBUG
  stk_cout<< _T("Stat::sumByCol( dik_.prod(*p_tik) ) =\n")  << Stat::sumByCol( dik_.prod(*p_tik) ) << "\n";
#endif
  param_.sigma2_ =  Stat::sumByCol( p_tik->prod(dik_) ) / (p_tk->prod(param_.dim_));
#ifdef STK_MIXTURE_VERBOSE
  stk_cout << _T("Kmm_sk::run( CArrayXX const* const& p_tik, CPointX const* const& p_tk) done\n");
  stk_cout << _T("sigma2 = ") << param_.sigma2_ << "\n";
#endif
  return true;
}
 
} // namespace STK