moeoEntropyMetric.h

/* 
* <moeoEntropyMetric.h>
* Copyright (C) DOLPHIN Project-Team, INRIA Futurs, 2006-2007
* (C) OPAC Team, LIFL, 2002-2007
*
* Sebastien Cahon, Arnaud Liefooghe
*
* This software is governed by the CeCILL license under French law and
* abiding by the rules of distribution of free software.  You can  use,
* modify and/ or redistribute the software under the terms of the CeCILL
* license as circulated by CEA, CNRS and INRIA at the following URL
* "http://www.cecill.info".
*
* As a counterpart to the access to the source code and  rights to copy,
* modify and redistribute granted by the license, users are provided only
* with a limited warranty  and the software's author,  the holder of the
* economic rights,  and the successive licensors  have only  limited liability.
*
* In this respect, the user's attention is drawn to the risks associated
* with loading,  using,  modifying and/or developing or reproducing the
* software by the user in light of its specific status of free software,
* that may mean  that it is complicated to manipulate,  and  that  also
* therefore means  that it is reserved for developers  and  experienced
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* encouraged to load and test the software's suitability as regards their
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*
* ParadisEO WebSite : http://paradiseo.gforge.inria.fr
* Contact: paradiseo-help@lists.gforge.inria.fr
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*/
//-----------------------------------------------------------------------------

#ifndef MOEOENTROPYMETRIC_H_
#define MOEOENTROPYMETRIC_H_

#include <vector>
#include <comparator/moeoParetoObjectiveVectorComparator.h>
#include <metric/moeoMetric.h>

template < class ObjectiveVector >
class moeoEntropyMetric : public moeoVectorVsVectorBinaryMetric < ObjectiveVector, double >
{
public:

    double operator()(const std::vector < ObjectiveVector > & _set1, const std::vector < ObjectiveVector > & _set2) {
        // normalization
        std::vector< ObjectiveVector > set1 = _set1;
        std::vector< ObjectiveVector > set2= _set2;
        removeDominated (set1);
        removeDominated (set2);
        prenormalize (set1);
        normalize (set1);
        normalize (set2);

        // making of PO*
        std::vector< ObjectiveVector > star; // rotf :-)
        computeUnion (set1, set2, star);
        removeDominated (star);

        // making of PO1 U PO*
        std::vector< ObjectiveVector > union_set1_star; // rotf again ...
        computeUnion (set1, star, union_set1_star);

        unsigned int C = union_set1_star.size();
        float omega=0;
        float entropy=0;

        for (unsigned int i=0 ; i<C ; i++) {
            unsigned int N_i = howManyInNicheOf (union_set1_star, union_set1_star[i], star.size());
            unsigned int n_i = howManyInNicheOf (set1, union_set1_star[i], star.size());
            if (n_i > 0) {
                omega += 1.0 / N_i;
                entropy += (float) n_i / (N_i * C) * log (((float) n_i / C) / log (2.0));
            }
        }
        entropy /= - log (omega);
        entropy *= log (2.0);
        return entropy;
    }


private:

    std::vector<double> vect_min_val;
    std::vector<double> vect_max_val;
    moeoParetoObjectiveVectorComparator < ObjectiveVector > paretoComparator;


    void removeDominated(std::vector < ObjectiveVector > & _f) {
        for (unsigned int i=0 ; i<_f.size(); i++) {
            bool dom = false;
            for (unsigned int j=0; j<_f.size(); j++)
                if (i != j && paretoComparator(_f[i],_f[j]))
                {
                    dom = true;
                    break;
                }
            if (dom) {
                _f[i] = _f.back();
                _f.pop_back();
                i--;
            }
        }
    }


    void prenormalize (const std::vector< ObjectiveVector > & _f) {
        vect_min_val.clear();
        vect_max_val.clear();

        for (unsigned int i=0 ; i<ObjectiveVector::nObjectives(); i++) {
            float min_val = _f.front()[i], max_val = min_val;
            for (unsigned int j=1 ; j<_f.size(); j++) {
                if (_f[j][i] < min_val)
                    min_val = _f[j][i];
                if (_f[j][i]>max_val)
                    max_val = _f[j][i];
            }
            vect_min_val.push_back(min_val);
            vect_max_val.push_back (max_val);
        }
    }


    void normalize (std::vector< ObjectiveVector > & _f) {
        for (unsigned int i=0 ; i<ObjectiveVector::nObjectives(); i++)
            for (unsigned int j=0; j<_f.size(); j++)
                _f[j][i] = (_f[j][i] - vect_min_val[i]) / (vect_max_val[i] - vect_min_val[i]);
    }


    void computeUnion(const std::vector< ObjectiveVector > & _f1, const std::vector< ObjectiveVector > & _f2, std::vector< ObjectiveVector > & _f) {
        _f = _f1 ;
        for (unsigned int i=0; i<_f2.size(); i++) {
            bool b = false;
            for (unsigned int j=0; j<_f1.size(); j ++)
                if (_f1[j] == _f2[i]) {
                    b = true;
                    break;
                }
            if (! b)
                _f.push_back(_f2[i]);
        }
    }


    unsigned int howManyInNicheOf (const std::vector< ObjectiveVector > & _f, const ObjectiveVector & _s, unsigned int _size) {
        unsigned int n=0;
        for (unsigned int i=0 ; i<_f.size(); i++) {
            if (euclidianDistance(_f[i], _s) < (_s.size() / (double) _size))
                n++;
        }
        return n;
    }


    double euclidianDistance (const ObjectiveVector & _set1, const ObjectiveVector & _to, unsigned int _deg = 2) {
        double dist=0;
        for (unsigned int i=0; i<_set1.size(); i++)
            dist += pow(fabs(_set1[i] - _to[i]), (int)_deg);
        return pow(dist, 1.0 / _deg);
    }

};

#endif /*MOEOENTROPYMETRIC_H_*/

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