special two-objective case of dominance depth ranking in O(n log n)
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1 changed files with 209 additions and 141 deletions
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@ -44,7 +44,7 @@
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#include <comparator/moeoObjectiveVectorComparator.h>
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#include <comparator/moeoParetoObjectiveVectorComparator.h>
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#include <fitness/moeoDominanceBasedFitnessAssignment.h>
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#include <comparator/moeoPtrComparator.h>
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/**
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* Fitness assignment sheme based on Pareto-dominance count proposed in:
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@ -65,7 +65,7 @@ class moeoDominanceDepthFitnessAssignment : public moeoDominanceBasedFitnessAssi
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/**
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* Default ctor
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*/
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moeoDominanceDepthFitnessAssignment() : comparator(paretoComparator)
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moeoDominanceDepthFitnessAssignment(bool _rm_equiv_flag_in_2D = false) : comparator(paretoComparator), rm_equiv_flag_in_2D(_rm_equiv_flag_in_2D)
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{}
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@ -73,7 +73,7 @@ class moeoDominanceDepthFitnessAssignment : public moeoDominanceBasedFitnessAssi
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* Ctor where you can choose your own way to compare objective vectors
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* @param _comparator the functor used to compare objective vectors
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*/
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moeoDominanceDepthFitnessAssignment(moeoObjectiveVectorComparator < ObjectiveVector > & _comparator) : comparator(_comparator)
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moeoDominanceDepthFitnessAssignment(moeoObjectiveVectorComparator < ObjectiveVector > & _comparator, bool _rm_equiv_flag_in_2D = true) : comparator(_comparator), rm_equiv_flag_in_2D(_rm_equiv_flag_in_2D)
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{}
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@ -92,8 +92,8 @@ class moeoDominanceDepthFitnessAssignment : public moeoDominanceBasedFitnessAssi
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}
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else if (nObjectives == 2)
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{
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// two objectives (the two objectives function is still to implement)
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mObjectives(_pop);
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// two objectives
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twoObjectives(_pop);
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}
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else if (nObjectives > 2)
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{
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@ -142,18 +142,20 @@ class moeoDominanceDepthFitnessAssignment : public moeoDominanceBasedFitnessAssi
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moeoObjectiveVectorComparator < ObjectiveVector > & comparator;
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/** Functor to compare two objective vectors according to Pareto dominance relation */
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moeoParetoObjectiveVectorComparator < ObjectiveVector > paretoComparator;
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/** flag to remove equivament solutions */
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bool rm_equiv_flag_in_2D;
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/** Functor allowing to compare two solutions according to their first objective value, then their second, and so on. */
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class ObjectiveComparator : public moeoComparator < MOEOT >
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{
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public:
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/**
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* Returns true if _moeo1 < _moeo2 on the first objective, then on the second, and so on
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* Returns true if _moeo1 > _moeo2 on the first objective, then on the second, and so on
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* @param _moeo1 the first solution
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* @param _moeo2 the second solution
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*/
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bool operator()(const MOEOT & _moeo1, const MOEOT & _moeo2)
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{
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return cmp(_moeo1.objectiveVector(), _moeo2.objectiveVector());
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return cmp(_moeo2.objectiveVector(), _moeo1.objectiveVector());
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}
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private:
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/** the corresponding comparator for objective vectors */
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@ -172,10 +174,10 @@ class moeoDominanceDepthFitnessAssignment : public moeoDominanceBasedFitnessAssi
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std::sort(_pop.begin(), _pop.end(), objComparator);
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// assign fitness values
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unsigned int rank = 1;
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_pop[_pop.size()-1].fitness(rank);
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for (int i=_pop.size()-2; i>=0; i--)
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_pop[0].fitness(rank);
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for (unsigned int i=1; i<_pop.size(); i++)
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{
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if (_pop[i].objectiveVector() != _pop[i+1].objectiveVector())
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if (_pop[i].objectiveVector() != _pop[i-1].objectiveVector())
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{
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rank++;
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}
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@ -190,7 +192,73 @@ class moeoDominanceDepthFitnessAssignment : public moeoDominanceBasedFitnessAssi
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*/
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void twoObjectives (eoPop < MOEOT > & _pop)
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{
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//... TO DO !
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double value_obj1;
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unsigned int front;
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unsigned int last_front = 0;
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bool equiv_flag;
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// sort pointers to pop's individuals with respect to the first objective (0) in the reverse order
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std::vector<MOEOT *> sortedptrpop;
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sortedptrpop.resize(_pop.size());
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for(unsigned int i=0; i<_pop.size(); i++)
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{
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sortedptrpop[i] = & (_pop[i]);
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}
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moeoPtrComparator<MOEOT> cmp(objComparator);
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std::sort(sortedptrpop.begin(), sortedptrpop.end(), cmp);
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// compute an upper bound on the second objective (1)
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double max_obj1 = std::numeric_limits<double>::min();
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for(unsigned int i=0; i<_pop.size(); i++)
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{
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max_obj1 = std::max(max_obj1, _pop[i].objectiveVector()[1]);
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}
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max_obj1 += 1.0;
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// initialize a vector with the max_obj1 value everywhere
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std::vector<double> d(_pop.size(), max_obj1);
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// initialize fronts
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std::vector<std::vector<unsigned int> > fronts(_pop.size());
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// compute rank for each individual
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for(unsigned int i=0; i<sortedptrpop.size(); i++)
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{
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equiv_flag = false;
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// check for equivalent solutions and assign them to the worst front
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if (i>0)
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{
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if ( (rm_equiv_flag_in_2D) && (sortedptrpop[i]->objectiveVector() == sortedptrpop[i-1]->objectiveVector()) )
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{
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equiv_flag = true;
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fronts.back().push_back(i);
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}
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}
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if (!equiv_flag)
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{
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// the value of the second objective for the current solutions
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value_obj1 = sortedptrpop[i]->objectiveVector()[1];
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// if we maximize, take the opposite value
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if (MOEOT::ObjectiveVector::maximizing(1))
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value_obj1 = max_obj1 - value_obj1;
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// perform binary search (log n)
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std::vector<double>::iterator it = std::upper_bound(d.begin(), d.begin() + last_front, value_obj1);
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// retrieve the corresponding front
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front = (unsigned int)(it - d.begin());
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if (front == last_front)
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last_front++;
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// update
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*it = value_obj1;
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// add the solution to the corresponding front
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fronts[front].push_back(i);
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}
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}
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// assign the fitness value (rank) to each individual
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for (unsigned int i=0; i<fronts.size(); i++)
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{
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for (unsigned int j=0; j<fronts[i].size(); j++)
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{
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sortedptrpop[fronts[i][j]]->fitness(i+1);
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}
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}
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}
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