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Further improvements for the multi dimensional reward unfolding

tempestpy_adaptions
TimQu 7 years ago
parent
5025b33aac
commit
3c5a270482
2 changed files with 156 additions and 101 deletions
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  1. 241
      src/storm/modelchecker/multiobjective/rewardbounded/MultiDimensionalRewardUnfolding.cpp
  2. 10
      src/storm/modelchecker/multiobjective/rewardbounded/MultiDimensionalRewardUnfolding.h

241
src/storm/modelchecker/multiobjective/rewardbounded/MultiDimensionalRewardUnfolding.cpp
View File

@ -72,6 +72,17 @@ namespace storm {
memoryLabels.push_back(boost::none); memoryLabels.push_back(boost::none);
} }
} }
// Compute a mapping for each objective to the set of dimensions it considers
for (uint64_t objIndex = 0; objIndex < this->objectives.size(); ++objIndex) {
storm::storage::BitVector dimensions(subObjectives.size(), false);
for (uint64_t subObjIndex = 0; subObjIndex < subObjectives.size(); ++subObjIndex) {
if (subObjectives[subObjIndex].second == objIndex) {
dimensions.set(subObjIndex, true);
}
}
objectiveDimensions.push_back(std::move(dimensions));
}
} }
template<typename ValueType> template<typename ValueType>
@ -140,17 +151,49 @@ namespace storm {
template<typename ValueType> template<typename ValueType>
typename MultiDimensionalRewardUnfolding<ValueType>::EpochModel const& MultiDimensionalRewardUnfolding<ValueType>::getModelForEpoch(Epoch const& epoch) { typename MultiDimensionalRewardUnfolding<ValueType>::EpochModel const& MultiDimensionalRewardUnfolding<ValueType>::getModelForEpoch(Epoch const& epoch) {
// Get the model for the considered class of epochs
EpochClass classOfEpoch = getClassOfEpoch(epoch); EpochClass classOfEpoch = getClassOfEpoch(epoch);
auto findRes = epochModels.find(classOfEpoch); auto findRes = epochModels.find(classOfEpoch);
std::shared_ptr<EpochModel> epochModel;
if (findRes != epochModels.end()) { if (findRes != epochModels.end()) {
return findRes->second;
epochModel = findRes->second;
} else { } else {
return epochModels.insert(std::make_pair(classOfEpoch, computeModelForEpoch(epoch))).first->second;
epochModel = epochModels.insert(std::make_pair(classOfEpoch, computeModelForEpoch(epoch))).first->second;
} }
// Filter out all objective rewards that we do not receive in this particular epoch
epochModel->objectiveRewardFilter.resize(objectives.size());
for (uint64_t objIndex = 0; objIndex < objectives.size(); ++objIndex) {
storm::storage::BitVector& filter = epochModel->objectiveRewardFilter[objIndex];
filter.resize(epochModel->objectiveRewards[objIndex].size());
if (objectiveDimensions[objIndex].empty()) {
filter.clear();
filter.complement();
} else {
for (uint64_t state = 0; state < epochModel->rewardTransitions.getRowGroupCount(); ++state) {
for (uint64_t choice = epochModel->rewardTransitions.getRowGroupIndices()[state]; choice < epochModel->rewardTransitions.getRowGroupIndices()[state + 1]; ++choice) {
for (auto const& dim : objectiveDimensions[objIndex]) {
auto successorEpoch = epoch[dim] - (epochModel->epochSteps[choice].is_initialized() ? epochModel->epochSteps[choice].get()[dim] : 0);
if (successorEpoch >= 0) {
filter.set(choice, true);
} else if (epochModel->relevantStates[dim].get(state)) {
filter.set(choice, false);
break;
} else {
filter.set(choice, true);
}
}
}
}
}
}
return *epochModel;
} }
template<typename ValueType> template<typename ValueType>
typename MultiDimensionalRewardUnfolding<ValueType>::EpochModel MultiDimensionalRewardUnfolding<ValueType>::computeModelForEpoch(Epoch const& epoch) {
std::shared_ptr<typename MultiDimensionalRewardUnfolding<ValueType>::EpochModel> MultiDimensionalRewardUnfolding<ValueType>::computeModelForEpoch(Epoch const& epoch) {
storm::storage::MemoryStructure memory = computeMemoryStructureForEpoch(epoch); storm::storage::MemoryStructure memory = computeMemoryStructureForEpoch(epoch);
auto modelMemoryProductBuilder = memory.product(model); auto modelMemoryProductBuilder = memory.product(model);
@ -158,12 +201,12 @@ namespace storm {
auto modelMemoryProduct = modelMemoryProductBuilder.build()->template as<storm::models::sparse::Mdp<ValueType>>(); auto modelMemoryProduct = modelMemoryProductBuilder.build()->template as<storm::models::sparse::Mdp<ValueType>>();
storm::storage::SparseMatrix<ValueType> const& allTransitions = modelMemoryProduct->getTransitionMatrix(); storm::storage::SparseMatrix<ValueType> const& allTransitions = modelMemoryProduct->getTransitionMatrix();
EpochModel result;
std::shared_ptr<EpochModel> result = std::make_shared<EpochModel>();
storm::storage::BitVector rewardChoices(allTransitions.getRowCount(), false); storm::storage::BitVector rewardChoices(allTransitions.getRowCount(), false);
result.epochSteps.resize(modelMemoryProduct->getNumberOfChoices());
result->epochSteps.resize(modelMemoryProduct->getNumberOfChoices());
for (uint64_t modelState = 0; modelState < model.getNumberOfStates(); ++modelState) { for (uint64_t modelState = 0; modelState < model.getNumberOfStates(); ++modelState) {
uint64_t numChoices = allTransitions.getRowGroupSize(modelState);
uint64_t firstChoice = allTransitions.getRowGroupIndices()[modelState];
uint64_t numChoices = model.getTransitionMatrix().getRowGroupSize(modelState);
uint64_t firstChoice = model.getTransitionMatrix().getRowGroupIndices()[modelState];
for (uint64_t choiceOffset = 0; choiceOffset < numChoices; ++choiceOffset) { for (uint64_t choiceOffset = 0; choiceOffset < numChoices; ++choiceOffset) {
Epoch step; Epoch step;
bool isZeroStep = true; bool isZeroStep = true;
@ -176,95 +219,29 @@ namespace storm {
uint64_t productState = modelMemoryProductBuilder.getResultState(modelState, memState); uint64_t productState = modelMemoryProductBuilder.getResultState(modelState, memState);
uint64_t productChoice = allTransitions.getRowGroupIndices()[productState] + choiceOffset; uint64_t productChoice = allTransitions.getRowGroupIndices()[productState] + choiceOffset;
assert(productChoice < allTransitions.getRowGroupIndices()[productState + 1]); assert(productChoice < allTransitions.getRowGroupIndices()[productState + 1]);
result.epochSteps[productChoice] = step;
result->epochSteps[productChoice] = step;
rewardChoices.set(productChoice, true); rewardChoices.set(productChoice, true);
} }
} }
} }
} }
result.rewardTransitions = allTransitions.filterEntries(rewardChoices);
result.intermediateTransitions = allTransitions.filterEntries(~rewardChoices);
result->rewardTransitions = allTransitions.filterEntries(rewardChoices);
result->intermediateTransitions = allTransitions.filterEntries(~rewardChoices);
result.objectiveRewards.reserve(objectives.size());
for (uint64_t objIndex = 0; objIndex < objectives.size(); ++objIndex) {
auto const& formula = *this->objectives[objIndex].formula;
if (formula.isProbabilityOperatorFormula()) {
storm::modelchecker::SparsePropositionalModelChecker<storm::models::sparse::Mdp<ValueType>> mc(*modelMemoryProduct);
storm::storage::BitVector dimensions(subObjectives.size(), false);
std::vector<uint64_t> dimensionIndexMap;
for (uint64_t subObjIndex = 0; subObjIndex < subObjectives.size(); ++subObjIndex) {
if (subObjectives[subObjIndex].second == objIndex) {
dimensions.set(subObjIndex, true);
dimensionIndexMap.push_back(subObjIndex);
}
}
result->objectiveRewards = computeObjectiveRewardsForEpoch(epoch, modelMemoryProduct);
std::shared_ptr<storm::logic::Formula const> sinkStatesFormula;
for (auto const& dim : dimensions) {
auto memLabelFormula = std::make_shared<storm::logic::AtomicLabelFormula>(memoryLabels[dim].get());
if (sinkStatesFormula) {
sinkStatesFormula = std::make_shared<storm::logic::BinaryBooleanStateFormula>(storm::logic::BinaryBooleanStateFormula::OperatorType::Or, sinkStatesFormula, memLabelFormula);
} else {
sinkStatesFormula = memLabelFormula;
}
}
sinkStatesFormula = std::make_shared<storm::logic::UnaryBooleanStateFormula>(storm::logic::UnaryBooleanStateFormula::OperatorType::Not, sinkStatesFormula);
std::vector<ValueType> objRew(allTransitions.getRowCount(), storm::utility::zero<ValueType>());
storm::storage::BitVector relevantObjectives(dimensions.getNumberOfSetBits());
while (!relevantObjectives.full()) {
relevantObjectives.increment();
std::shared_ptr<storm::logic::Formula const> relevantStatesFormula;
std::shared_ptr<storm::logic::Formula const> goalStatesFormula = storm::logic::CloneVisitor().clone(*sinkStatesFormula);
for (uint64_t subObjIndex = 0; objIndex < dimensionIndexMap.size(); ++objIndex) {
std::shared_ptr<storm::logic::Formula> memLabelFormula = std::make_shared<storm::logic::AtomicLabelFormula>(memoryLabels[dimensionIndexMap[subObjIndex]].get());
if (relevantObjectives.get(subObjIndex)) {
auto rightSubFormula = subObjectives[dimensionIndexMap[subObjIndex]].first->asBoundedUntilFormula().getRightSubformula().asSharedPointer();
goalStatesFormula = std::make_shared<storm::logic::BinaryBooleanStateFormula>(storm::logic::BinaryBooleanStateFormula::OperatorType::And, goalStatesFormula, rightSubFormula);
} else {
memLabelFormula = std::make_shared<storm::logic::UnaryBooleanStateFormula>(storm::logic::UnaryBooleanStateFormula::OperatorType::Not, memLabelFormula);
}
if (relevantStatesFormula) {
relevantStatesFormula = std::make_shared<storm::logic::BinaryBooleanStateFormula>(storm::logic::BinaryBooleanStateFormula::OperatorType::And, relevantStatesFormula, memLabelFormula);
} else {
relevantStatesFormula = memLabelFormula;
}
}
storm::storage::BitVector relevantStates = mc.check(*relevantStatesFormula)->asExplicitQualitativeCheckResult().getTruthValuesVector();
storm::storage::BitVector goalStates = mc.check(*goalStatesFormula)->asExplicitQualitativeCheckResult().getTruthValuesVector();
storm::utility::vector::addVectors(objRew, allTransitions.getConstrainedRowGroupSumVector(relevantStates, goalStates), objRew);
}
result.objectiveRewards.push_back(std::move(objRew));
// TODO
// Check if the formula is already satisfied in the initial state
// STORM_LOG_THROW((data.originalModel.getInitialStates() & rightSubformulaResult).empty(), storm::exceptions::NotImplementedException, "The Probability for the objective " << *data.objectives.back()->originalFormula << " is always one as the rhs of the until formula is true in the initial state. This (trivial) case is currently not implemented.");
} else if (formula.isRewardOperatorFormula()) {
auto const& rewModel = modelMemoryProduct->getRewardModel(formula.asRewardOperatorFormula().getRewardModelName());
STORM_LOG_THROW(!rewModel.hasTransitionRewards(), storm::exceptions::NotSupportedException, "Reward model has transition rewards which is not expected.");
bool rewardCollectedInEpoch = true;
if (formula.getSubformula().isCumulativeRewardFormula()) {
uint64_t dim = 0;
for (; subObjectives[dim].second != objIndex; ++dim);
rewardCollectedInEpoch = epoch[dim] >= 0;
} else {
STORM_LOG_THROW(formula.getSubformula().isTotalRewardFormula(), storm::exceptions::UnexpectedException, "Unexpected type of formula " << formula);
}
if (rewardCollectedInEpoch) {
result.objectiveRewards.push_back(rewModel.getTotalRewardVector(modelMemoryProduct->getTransitionMatrix()));
} else {
result.objectiveRewards.emplace_back(allTransitions.getRowCount(), storm::utility::zero<ValueType>());
}
storm::modelchecker::SparsePropositionalModelChecker<storm::models::sparse::Mdp<ValueType>> mc(*modelMemoryProduct);
result->relevantStates.reserve(subObjectives.size());
for (auto const& relevantStatesLabel : memoryLabels) {
if (relevantStatesLabel) {
auto relevantStatesFormula = std::make_shared<storm::logic::AtomicLabelFormula>(relevantStatesLabel.get());
result->relevantStates.push_back(mc.check(*relevantStatesFormula)->asExplicitQualitativeCheckResult().getTruthValuesVector());
} else { } else {
STORM_LOG_THROW(false, storm::exceptions::UnexpectedException, "Unexpected type of formula " << formula);
result->relevantStates.push_back(storm::storage::BitVector(modelMemoryProduct->getNumberOfStates(), true));
} }
} }
return result; return result;
} }
@ -282,14 +259,7 @@ namespace storm {
storm::storage::MemoryStructure objMemory = storm::storage::MemoryStructureBuilder<ValueType>::buildTrivialMemoryStructure(model); storm::storage::MemoryStructure objMemory = storm::storage::MemoryStructureBuilder<ValueType>::buildTrivialMemoryStructure(model);
storm::storage::BitVector dimensions(subObjectives.size(), false);
for (uint64_t subObjIndex = 0; subObjIndex < subObjectives.size(); ++subObjIndex) {
if (subObjectives[subObjIndex].second == objIndex) {
dimensions.set(subObjIndex, true);
}
}
for (auto const& dim : dimensions) {
for (auto const& dim : objectiveDimensions[objIndex]) {
auto const& subObj = subObjectives[dim]; auto const& subObj = subObjectives[dim];
if (subObj.first->isBoundedUntilFormula()) { if (subObj.first->isBoundedUntilFormula()) {
// Create a memory structure that stores whether a PsiState has already been reached // Create a memory structure that stores whether a PsiState has already been reached
@ -316,14 +286,14 @@ namespace storm {
// find the memory state that represents that none of the subobjective is relative anymore // find the memory state that represents that none of the subobjective is relative anymore
storm::storage::BitVector sinkStates(objMemory.getNumberOfStates(), true); storm::storage::BitVector sinkStates(objMemory.getNumberOfStates(), true);
for (auto const& dim : dimensions) {
for (auto const& dim : objectiveDimensions[objIndex]) {
sinkStates = sinkStates & ~objMemory.getStateLabeling().getStates(memoryLabels[dim].get()); sinkStates = sinkStates & ~objMemory.getStateLabeling().getStates(memoryLabels[dim].get());
} }
assert(sinkStates.getNumberOfSetBits() == 1); assert(sinkStates.getNumberOfSetBits() == 1);
// When a constraint of at least one until formula is violated, we need to switch to the sink memory state // When a constraint of at least one until formula is violated, we need to switch to the sink memory state
storm::storage::MemoryStructureBuilder<ValueType> objMemBuilder(objMemory, model); storm::storage::MemoryStructureBuilder<ValueType> objMemBuilder(objMemory, model);
for (auto const& dim : dimensions) {
for (auto const& dim : objectiveDimensions[objIndex]) {
auto const& subObj = subObjectives[dim]; auto const& subObj = subObjectives[dim];
storm::storage::BitVector constraintModelStates = storm::storage::BitVector constraintModelStates =
~(mc.check(subObj.first->asBoundedUntilFormula().getLeftSubformula())->asExplicitQualitativeCheckResult().getTruthValuesVector() | ~(mc.check(subObj.first->asBoundedUntilFormula().getLeftSubformula())->asExplicitQualitativeCheckResult().getTruthValuesVector() |
@ -339,6 +309,87 @@ namespace storm {
return memory; return memory;
} }
template<typename ValueType>
std::vector<std::vector<ValueType>> MultiDimensionalRewardUnfolding<ValueType>::computeObjectiveRewardsForEpoch(Epoch const& epoch, std::shared_ptr<storm::models::sparse::Mdp<ValueType>> const& modelMemoryProduct) const {
std::vector<std::vector<ValueType>> objectiveRewards;
objectiveRewards.reserve(objectives.size());
for (uint64_t objIndex = 0; objIndex < objectives.size(); ++objIndex) {
auto const& formula = *this->objectives[objIndex].formula;
if (formula.isProbabilityOperatorFormula()) {
storm::modelchecker::SparsePropositionalModelChecker<storm::models::sparse::Mdp<ValueType>> mc(*modelMemoryProduct);
std::vector<uint64_t> dimensionIndexMap;
for (auto const& globalDimensionIndex : objectiveDimensions[objIndex]) {
dimensionIndexMap.push_back(globalDimensionIndex);
}
std::shared_ptr<storm::logic::Formula const> sinkStatesFormula;
for (auto const& dim : objectiveDimensions[objIndex]) {
auto memLabelFormula = std::make_shared<storm::logic::AtomicLabelFormula>(memoryLabels[dim].get());
if (sinkStatesFormula) {
sinkStatesFormula = std::make_shared<storm::logic::BinaryBooleanStateFormula>(storm::logic::BinaryBooleanStateFormula::OperatorType::Or, sinkStatesFormula, memLabelFormula);
} else {
sinkStatesFormula = memLabelFormula;
}
}
sinkStatesFormula = std::make_shared<storm::logic::UnaryBooleanStateFormula>(storm::logic::UnaryBooleanStateFormula::OperatorType::Not, sinkStatesFormula);
std::vector<ValueType> objRew(modelMemoryProduct->getTransitionMatrix().getRowCount(), storm::utility::zero<ValueType>());
storm::storage::BitVector relevantObjectives(objectiveDimensions[objIndex].getNumberOfSetBits());
while (!relevantObjectives.full()) {
relevantObjectives.increment();
std::shared_ptr<storm::logic::Formula const> relevantStatesFormula;
std::shared_ptr<storm::logic::Formula const> goalStatesFormula = storm::logic::CloneVisitor().clone(*sinkStatesFormula);
for (uint64_t subObjIndex = 0; subObjIndex < dimensionIndexMap.size(); ++subObjIndex) {
std::shared_ptr<storm::logic::Formula> memLabelFormula = std::make_shared<storm::logic::AtomicLabelFormula>(memoryLabels[dimensionIndexMap[subObjIndex]].get());
if (relevantObjectives.get(subObjIndex)) {
auto rightSubFormula = subObjectives[dimensionIndexMap[subObjIndex]].first->asBoundedUntilFormula().getRightSubformula().asSharedPointer();
goalStatesFormula = std::make_shared<storm::logic::BinaryBooleanStateFormula>(storm::logic::BinaryBooleanStateFormula::OperatorType::And, goalStatesFormula, rightSubFormula);
} else {
memLabelFormula = std::make_shared<storm::logic::UnaryBooleanStateFormula>(storm::logic::UnaryBooleanStateFormula::OperatorType::Not, memLabelFormula);
}
if (relevantStatesFormula) {
relevantStatesFormula = std::make_shared<storm::logic::BinaryBooleanStateFormula>(storm::logic::BinaryBooleanStateFormula::OperatorType::And, relevantStatesFormula, memLabelFormula);
} else {
relevantStatesFormula = memLabelFormula;
}
}
storm::storage::BitVector relevantStates = mc.check(*relevantStatesFormula)->asExplicitQualitativeCheckResult().getTruthValuesVector();
storm::storage::BitVector goalStates = mc.check(*goalStatesFormula)->asExplicitQualitativeCheckResult().getTruthValuesVector();
storm::utility::vector::addVectors(objRew, modelMemoryProduct->getTransitionMatrix().getConstrainedRowGroupSumVector(relevantStates, goalStates), objRew);
}
objectiveRewards.push_back(std::move(objRew));
// TODO
// Check if the formula is already satisfied in the initial state
// STORM_LOG_THROW((data.originalModel.getInitialStates() & rightSubformulaResult).empty(), storm::exceptions::NotImplementedException, "The Probability for the objective " << *data.objectives.back()->originalFormula << " is always one as the rhs of the until formula is true in the initial state. This (trivial) case is currently not implemented.");
} else if (formula.isRewardOperatorFormula()) {
auto const& rewModel = modelMemoryProduct->getRewardModel(formula.asRewardOperatorFormula().getRewardModelName());
STORM_LOG_THROW(!rewModel.hasTransitionRewards(), storm::exceptions::NotSupportedException, "Reward model has transition rewards which is not expected.");
bool rewardCollectedInEpoch = true;
if (formula.getSubformula().isCumulativeRewardFormula()) {
assert(objectiveDimensions[objIndex].getNumberOfSetBits() == 1);
rewardCollectedInEpoch = epoch[*objectiveDimensions[objIndex].begin()] >= 0;
} else {
STORM_LOG_THROW(formula.getSubformula().isTotalRewardFormula(), storm::exceptions::UnexpectedException, "Unexpected type of formula " << formula);
}
if (rewardCollectedInEpoch) {
objectiveRewards.push_back(rewModel.getTotalRewardVector(modelMemoryProduct->getTransitionMatrix()));
} else {
objectiveRewards.emplace_back(modelMemoryProduct->getTransitionMatrix().getRowCount(), storm::utility::zero<ValueType>());
}
} else {
STORM_LOG_THROW(false, storm::exceptions::UnexpectedException, "Unexpected type of formula " << formula);
}
}
return objectiveRewards;
}
template<typename ValueType> template<typename ValueType>
void MultiDimensionalRewardUnfolding<ValueType>::setEpochSolution(Epoch const& epoch, EpochSolution const& solution) { void MultiDimensionalRewardUnfolding<ValueType>::setEpochSolution(Epoch const& epoch, EpochSolution const& solution) {

10
src/storm/modelchecker/multiobjective/rewardbounded/MultiDimensionalRewardUnfolding.h
View File

@ -24,8 +24,10 @@ namespace storm {
struct EpochModel { struct EpochModel {
storm::storage::SparseMatrix<ValueType> rewardTransitions; storm::storage::SparseMatrix<ValueType> rewardTransitions;
storm::storage::SparseMatrix<ValueType> intermediateTransitions; storm::storage::SparseMatrix<ValueType> intermediateTransitions;
std::vector<std::vector<ValueType>> objectiveRewards;
std::vector<boost::optional<Epoch>> epochSteps; std::vector<boost::optional<Epoch>> epochSteps;
std::vector<std::vector<ValueType>> objectiveRewards;
std::vector<storm::storage::BitVector> objectiveRewardFilter;
std::vector<storm::storage::BitVector> relevantStates;
}; };
struct EpochSolution { struct EpochSolution {
@ -62,8 +64,9 @@ namespace storm {
EpochClass getClassOfEpoch(Epoch const& epoch) const; EpochClass getClassOfEpoch(Epoch const& epoch) const;
Epoch getSuccessorEpoch(Epoch const& epoch, Epoch const& step) const; Epoch getSuccessorEpoch(Epoch const& epoch, Epoch const& step) const;
EpochModel computeModelForEpoch(Epoch const& epoch);
std::shared_ptr<EpochModel> computeModelForEpoch(Epoch const& epoch);
storm::storage::MemoryStructure computeMemoryStructureForEpoch(Epoch const& epoch) const; storm::storage::MemoryStructure computeMemoryStructureForEpoch(Epoch const& epoch) const;
std::vector<std::vector<ValueType>> computeObjectiveRewardsForEpoch(Epoch const& epoch, std::shared_ptr<storm::models::sparse::Mdp<ValueType>> const& modelMemoryProduct) const;
storm::models::sparse::Mdp<ValueType> const& model; storm::models::sparse::Mdp<ValueType> const& model;
@ -71,12 +74,13 @@ namespace storm {
storm::storage::BitVector possibleECActions; storm::storage::BitVector possibleECActions;
storm::storage::BitVector allowedBottomStates; storm::storage::BitVector allowedBottomStates;
std::vector<storm::storage::BitVector> objectiveDimensions;
std::vector<std::pair<std::shared_ptr<storm::logic::Formula const>, uint64_t>> subObjectives; std::vector<std::pair<std::shared_ptr<storm::logic::Formula const>, uint64_t>> subObjectives;
std::vector<boost::optional<std::string>> memoryLabels; std::vector<boost::optional<std::string>> memoryLabels;
std::vector<std::vector<uint64_t>> scaledRewards; std::vector<std::vector<uint64_t>> scaledRewards;
std::vector<ValueType> scalingFactors; std::vector<ValueType> scalingFactors;
std::map<EpochClass, EpochModel> epochModels;
std::map<EpochClass, std::shared_ptr<EpochModel>> epochModels;
std::map<Epoch, EpochSolution> epochSolutions; std::map<Epoch, EpochSolution> epochSolutions;
}; };
} }

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