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merge ParadisEO-MOEO v-1.0

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git-svn-id: svn://scm.gforge.inria.fr/svnroot/paradiseo@400 331e1502-861f-0410-8da2-ba01fb791d7f
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liefooga 2007-06-26 13:28:59 +00:00
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trunk/paradiseo-moeo/src/metric/moeoNormalizedSolutionVsSolutionBinaryMetric.h
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@ -13,10 +13,10 @@
#ifndef MOEONORMALIZEDSOLUTIONVSSOLUTIONBINARYMETRIC_H_
#define MOEONORMALIZEDSOLUTIONVSSOLUTIONBINARYMETRIC_H_
#include <stdexcept>
#include <vector>
#include <utils/eoRealBounds.h>
#include <metric/moeoMetric.h>
/**
* Base class for binary metrics dedicated to the performance comparison between two solutions's objective vectors using normalized values.
* Then, indicator values lie in the interval [-1,1].
@ -33,16 +33,21 @@ public:
moeoNormalizedSolutionVsSolutionBinaryMetric()
{
bounds.resize(ObjectiveVector::Traits::nObjectives());
// initialize bounds in case someone does not want to use them
for (unsigned int i=0; i<ObjectiveVector::Traits::nObjectives(); i++)
{
bounds[i] = eoRealInterval(0,1);
}
}
/**
* Sets the lower bound (_min) and the upper bound (_max) for the objective _obj
* _min lower bound
* _max upper bound
* _obj the objective index
* @param _min lower bound
* @param _max upper bound
* @param _obj the objective index
*/
void setup(double _min, double _max, unsigned _obj)
void setup(double _min, double _max, unsigned int _obj)
{
if (_min == _max)
{
@ -52,12 +57,13 @@ public:
bounds[_obj] = eoRealInterval(_min, _max);
}
/**
* Sets the lower bound and the upper bound for the objective _obj using a eoRealInterval object
* _realInterval the eoRealInterval object
* _obj the objective index
* @param _realInterval the eoRealInterval object
* @param _obj the objective index
*/
virtual void setup(eoRealInterval _realInterval, unsigned _obj)
virtual void setup(eoRealInterval _realInterval, unsigned int _obj)
{
bounds[_obj] = _realInterval;
}
@ -79,193 +85,4 @@ protected:
};
/**
* Additive epsilon binary metric allowing to compare two objective vectors as proposed in
* Zitzler E., Thiele L., Laumanns M., Fonseca C. M., Grunert da Fonseca V.:
* Performance Assessment of Multiobjective Optimizers: An Analysis and Review. IEEE Transactions on Evolutionary Computation 7(2), pp.117–132 (2003).
*/
template < class ObjectiveVector >
class moeoAdditiveEpsilonBinaryMetric : public moeoNormalizedSolutionVsSolutionBinaryMetric < ObjectiveVector, double >
{
public:
/**
* Returns the minimal distance by which the objective vector _o1 must be translated in all objectives
* so that it weakly dominates the objective vector _o2
* @warning don't forget to set the bounds for every objective before the call of this function
* @param _o1 the first objective vector
* @param _o2 the second objective vector
*/
double operator()(const ObjectiveVector & _o1, const ObjectiveVector & _o2)
{
// computation of the epsilon value for the first objective
double result = epsilon(_o1, _o2, 0);
// computation of the epsilon value for the other objectives
double tmp;
for (unsigned i=1; i<ObjectiveVector::Traits::nObjectives(); i++)
{
tmp = epsilon(_o1, _o2, i);
result = std::max(result, tmp);
}
// returns the maximum epsilon value
return result;
}
private:
/** the bounds for every objective */
using moeoNormalizedSolutionVsSolutionBinaryMetric < ObjectiveVector, double > :: bounds;
/**
* Returns the epsilon value by which the objective vector _o1 must be translated in the objective _obj
* so that it dominates the objective vector _o2
* @param _o1 the first objective vector
* @param _o2 the second objective vector
* @param _obj the index of the objective
*/
double epsilon(const ObjectiveVector & _o1, const ObjectiveVector & _o2, const unsigned _obj)
{
double result;
// if the objective _obj have to be minimized
if (ObjectiveVector::Traits::minimizing(_obj))
{
// _o1[_obj] - _o2[_obj]
result = ( (_o1[_obj] - bounds[_obj].minimum()) / bounds[_obj].range() ) - ( (_o2[_obj] - bounds[_obj].minimum()) / bounds[_obj].range() );
}
// if the objective _obj have to be maximized
else
{
// _o2[_obj] - _o1[_obj]
result = ( (_o2[_obj] - bounds[_obj].minimum()) / bounds[_obj].range() ) - ( (_o1[_obj] - bounds[_obj].minimum()) / bounds[_obj].range() );
}
return result;
}
};
/**
* Hypervolume binary metric allowing to compare two objective vectors as proposed in
* Zitzler E., Künzli S.: Indicator-Based Selection in Multiobjective Search. In Parallel Problem Solving from Nature (PPSN VIII).
* Lecture Notes in Computer Science 3242, Springer, Birmingham, UK pp.832–842 (2004).
* This indicator is based on the hypervolume concept introduced in
* Zitzler, E., Thiele, L.: Multiobjective Optimization Using Evolutionary Algorithms - A Comparative Case Study.
* Parallel Problem Solving from Nature (PPSN-V), pp.292-301 (1998).
*/
template < class ObjectiveVector >
class moeoHypervolumeBinaryMetric : public moeoNormalizedSolutionVsSolutionBinaryMetric < ObjectiveVector, double >
{
public:
/**
* Ctor
* @param _rho value used to compute the reference point from the worst values for each objective (default : 1.1)
*/
moeoHypervolumeBinaryMetric(double _rho = 1.1) : rho(_rho)
{
// not-a-maximization problem check
for (unsigned i=0; i<ObjectiveVector::Traits::nObjectives(); i++)
{
if (ObjectiveVector::Traits::maximizing(i))
{
throw std::runtime_error("Hypervolume binary metric not yet implemented for a maximization problem in moeoHypervolumeBinaryMetric");
}
}
// consistency check
if (rho < 1)
{
cout << "Warning, value used to compute the reference point rho for the hypervolume calculation must not be smaller than 1" << endl;
cout << "Adjusted to 1" << endl;
rho = 1;
}
}
/**
* Returns the volume of the space that is dominated by _o2 but not by _o1 with respect to a reference point computed using rho.
* @warning don't forget to set the bounds for every objective before the call of this function
* @param _o1 the first objective vector
* @param _o2 the second objective vector
*/
double operator()(const ObjectiveVector & _o1, const ObjectiveVector & _o2)
{
double result;
// if _o1 dominates _o2
if ( paretoComparator(_o1,_o2) )
{
result = - hypervolume(_o1, _o2, ObjectiveVector::Traits::nObjectives()-1);
}
else
{
result = hypervolume(_o2, _o1, ObjectiveVector::Traits::nObjectives()-1);
}
return result;
}
private:
/** value used to compute the reference point from the worst values for each objective */
double rho;
/** the bounds for every objective */
using moeoNormalizedSolutionVsSolutionBinaryMetric < ObjectiveVector, double > :: bounds;
/** Functor to compare two objective vectors according to Pareto dominance relation */
moeoParetoObjectiveVectorComparator < ObjectiveVector > paretoComparator;
/**
* Returns the volume of the space that is dominated by _o2 but not by _o1 with respect to a reference point computed using rho for the objective _obj.
* @param _o1 the first objective vector
* @param _o2 the second objective vector
* @param _obj the objective index
* @param _flag used for iteration, if _flag=true _o2 is not talen into account (default : false)
*/
double hypervolume(const ObjectiveVector & _o1, const ObjectiveVector & _o2, const unsigned _obj, const bool _flag = false)
{
double result;
double range = rho * bounds[_obj].range();
double max = bounds[_obj].minimum() + range;
// value of _1 for the objective _obj
double v1 = _o1[_obj];
// value of _2 for the objective _obj (if _flag=true, v2=max)
double v2;
if (_flag)
{
v2 = max;
}
else
{
v2 = _o2[_obj];
}
// computation of the volume
if (_obj == 0)
{
if (v1 < v2)
{
result = (v2 - v1) / range;
}
else
{
result = 0;
}
}
else
{
if (v1 < v2)
{
result = ( hypervolume(_o1, _o2, _obj-1, true) * (v2 - v1) / range ) + ( hypervolume(_o1, _o2, _obj-1) * (max - v2) / range );
}
else
{
result = hypervolume(_o1, _o2, _obj-1) * (max - v2) / range;
}
}
return result;
}
};
#endif /*MOEONORMALIZEDSOLUTIONVSSOLUTIONBINARYMETRIC_H_*/