Merge pull request #1037 from borglab/feature/discrete_operators
commit
f3d9486253
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@ -57,7 +57,7 @@ namespace gtsam {
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/** Default constructor for I/O */
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DecisionTreeFactor();
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/** Constructor from Indices, Ordering, and AlgebraicDecisionDiagram */
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/** Constructor from DiscreteKeys and AlgebraicDecisionTree */
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DecisionTreeFactor(const DiscreteKeys& keys, const ADT& potentials);
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/** Constructor from doubles */
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@ -139,14 +139,14 @@ namespace gtsam {
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/**
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* Apply binary operator (*this) "op" f
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* @param f the second argument for op
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* @param op a binary operator that operates on AlgebraicDecisionDiagram potentials
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* @param op a binary operator that operates on AlgebraicDecisionTree
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*/
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DecisionTreeFactor apply(const DecisionTreeFactor& f, ADT::Binary op) const;
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/**
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* Combine frontal variables using binary operator "op"
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* @param nrFrontals nr. of frontal to combine variables in this factor
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* @param op a binary operator that operates on AlgebraicDecisionDiagram potentials
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* @param op a binary operator that operates on AlgebraicDecisionTree
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* @return shared pointer to newly created DecisionTreeFactor
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*/
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shared_ptr combine(size_t nrFrontals, ADT::Binary op) const;
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@ -154,7 +154,7 @@ namespace gtsam {
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/**
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* Combine frontal variables in an Ordering using binary operator "op"
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* @param nrFrontals nr. of frontal to combine variables in this factor
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* @param op a binary operator that operates on AlgebraicDecisionDiagram potentials
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* @param op a binary operator that operates on AlgebraicDecisionTree
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* @return shared pointer to newly created DecisionTreeFactor
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*/
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shared_ptr combine(const Ordering& keys, ADT::Binary op) const;
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@ -30,6 +30,7 @@
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#include <string>
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#include <vector>
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#include <utility>
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#include <set>
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using namespace std;
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using std::stringstream;
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@ -38,38 +39,97 @@ using std::pair;
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namespace gtsam {
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// Instantiate base class
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template class GTSAM_EXPORT Conditional<DecisionTreeFactor, DiscreteConditional> ;
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template class GTSAM_EXPORT
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Conditional<DecisionTreeFactor, DiscreteConditional>;
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/* ******************************************************************************** */
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/* ************************************************************************** */
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DiscreteConditional::DiscreteConditional(const size_t nrFrontals,
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const DecisionTreeFactor& f) :
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BaseFactor(f / (*f.sum(nrFrontals))), BaseConditional(nrFrontals) {
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}
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const DecisionTreeFactor& f)
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: BaseFactor(f / (*f.sum(nrFrontals))), BaseConditional(nrFrontals) {}
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/* ******************************************************************************** */
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DiscreteConditional::DiscreteConditional(const DecisionTreeFactor& joint,
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const DecisionTreeFactor& marginal) :
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BaseFactor(
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ISDEBUG("DiscreteConditional::COUNT") ? joint : joint / marginal), BaseConditional(
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joint.size()-marginal.size()) {
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if (ISDEBUG("DiscreteConditional::DiscreteConditional"))
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cout << (firstFrontalKey()) << endl; //TODO Print all keys
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}
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/* ************************************************************************** */
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DiscreteConditional::DiscreteConditional(size_t nrFrontals,
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const DiscreteKeys& keys,
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const ADT& potentials)
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: BaseFactor(keys, potentials), BaseConditional(nrFrontals) {}
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/* ******************************************************************************** */
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/* ************************************************************************** */
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DiscreteConditional::DiscreteConditional(const DecisionTreeFactor& joint,
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const DecisionTreeFactor& marginal, const Ordering& orderedKeys) :
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DiscreteConditional(joint, marginal) {
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const DecisionTreeFactor& marginal)
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: BaseFactor(joint / marginal),
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BaseConditional(joint.size() - marginal.size()) {}
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/* ************************************************************************** */
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DiscreteConditional::DiscreteConditional(const DecisionTreeFactor& joint,
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const DecisionTreeFactor& marginal,
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const Ordering& orderedKeys)
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: DiscreteConditional(joint, marginal) {
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keys_.clear();
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keys_.insert(keys_.end(), orderedKeys.begin(), orderedKeys.end());
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}
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/* ******************************************************************************** */
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/* ************************************************************************** */
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DiscreteConditional::DiscreteConditional(const Signature& signature)
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: BaseFactor(signature.discreteKeys(), signature.cpt()),
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BaseConditional(1) {}
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/* ******************************************************************************** */
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/* ************************************************************************** */
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DiscreteConditional DiscreteConditional::operator*(
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const DiscreteConditional& other) const {
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// Take union of frontal keys
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std::set<Key> newFrontals;
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for (auto&& key : this->frontals()) newFrontals.insert(key);
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for (auto&& key : other.frontals()) newFrontals.insert(key);
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// Check if frontals overlapped
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if (nrFrontals() + other.nrFrontals() > newFrontals.size())
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throw std::invalid_argument(
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"DiscreteConditional::operator* called with overlapping frontal keys.");
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// Now, add cardinalities.
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DiscreteKeys discreteKeys;
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for (auto&& key : frontals())
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discreteKeys.emplace_back(key, cardinality(key));
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for (auto&& key : other.frontals())
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discreteKeys.emplace_back(key, other.cardinality(key));
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// Sort
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std::sort(discreteKeys.begin(), discreteKeys.end());
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// Add parents to set, to make them unique
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std::set<DiscreteKey> parents;
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for (auto&& key : this->parents())
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if (!newFrontals.count(key)) parents.emplace(key, cardinality(key));
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for (auto&& key : other.parents())
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if (!newFrontals.count(key)) parents.emplace(key, other.cardinality(key));
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// Finally, add parents to keys, in order
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for (auto&& dk : parents) discreteKeys.push_back(dk);
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ADT product = ADT::apply(other, ADT::Ring::mul);
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return DiscreteConditional(newFrontals.size(), discreteKeys, product);
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}
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/* ************************************************************************** */
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DiscreteConditional DiscreteConditional::marginal(Key key) const {
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if (nrParents() > 0)
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throw std::invalid_argument(
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"DiscreteConditional::marginal: single argument version only valid for "
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"fully specified joint distributions (i.e., no parents).");
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// Calculate the keys as the frontal keys without the given key.
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DiscreteKeys discreteKeys{{key, cardinality(key)}};
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// Calculate sum
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ADT adt(*this);
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for (auto&& k : frontals())
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if (k != key) adt = adt.sum(k, cardinality(k));
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// Return new factor
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return DiscreteConditional(1, discreteKeys, adt);
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}
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/* ************************************************************************** */
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void DiscreteConditional::print(const string& s,
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const KeyFormatter& formatter) const {
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cout << s << " P( ";
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@ -82,7 +142,7 @@ void DiscreteConditional::print(const string& s,
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cout << formatter(*it) << " ";
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}
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}
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cout << ")";
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cout << "):\n";
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ADT::print("");
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cout << endl;
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}
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@ -49,14 +49,21 @@ class GTSAM_EXPORT DiscreteConditional
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/// @name Standard Constructors
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/// @{
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/** default constructor needed for serialization */
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/// Default constructor needed for serialization.
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DiscreteConditional() {}
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/** constructor from factor */
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/// Construct from factor, taking the first `nFrontals` keys as frontals.
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DiscreteConditional(size_t nFrontals, const DecisionTreeFactor& f);
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/**
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* Construct from DiscreteKeys and AlgebraicDecisionTree, taking the first
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* `nFrontals` keys as frontals, in the order given.
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*/
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DiscreteConditional(size_t nFrontals, const DiscreteKeys& keys,
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const ADT& potentials);
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/** Construct from signature */
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DiscreteConditional(const Signature& signature);
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explicit DiscreteConditional(const Signature& signature);
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/**
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* Construct from key, parents, and a Signature::Table specifying the
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@ -86,27 +93,41 @@ class GTSAM_EXPORT DiscreteConditional
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DiscreteConditional(const DiscreteKey& key, const std::string& spec)
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: DiscreteConditional(Signature(key, {}, spec)) {}
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/** construct P(X|Y)=P(X,Y)/P(Y) from P(X,Y) and P(Y) */
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/**
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* @brief construct P(X|Y) = f(X,Y)/f(Y) from f(X,Y) and f(Y)
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* Assumes but *does not check* that f(Y)=sum_X f(X,Y).
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*/
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DiscreteConditional(const DecisionTreeFactor& joint,
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const DecisionTreeFactor& marginal);
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/** construct P(X|Y)=P(X,Y)/P(Y) from P(X,Y) and P(Y) */
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/**
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* @brief construct P(X|Y) = f(X,Y)/f(Y) from f(X,Y) and f(Y)
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* Assumes but *does not check* that f(Y)=sum_X f(X,Y).
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* Makes sure the keys are ordered as given. Does not check orderedKeys.
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*/
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DiscreteConditional(const DecisionTreeFactor& joint,
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const DecisionTreeFactor& marginal,
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const Ordering& orderedKeys);
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/**
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* Combine several conditional into a single one.
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* The conditionals must be given in increasing order, meaning that the
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* parents of any conditional may not include a conditional coming before it.
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* @param firstConditional Iterator to the first conditional to combine, must
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* dereference to a shared_ptr<DiscreteConditional>.
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* @param lastConditional Iterator to after the last conditional to combine,
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* must dereference to a shared_ptr<DiscreteConditional>.
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* */
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template <typename ITERATOR>
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static shared_ptr Combine(ITERATOR firstConditional,
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ITERATOR lastConditional);
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* @brief Combine two conditionals, yielding a new conditional with the union
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* of the frontal keys, ordered by gtsam::Key.
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*
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* The two conditionals must make a valid Bayes net fragment, i.e.,
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* the frontal variables cannot overlap, and must be acyclic:
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* Example of correct use:
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* P(A,B) = P(A|B) * P(B)
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* P(A,B|C) = P(A|B) * P(B|C)
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* P(A,B,C) = P(A,B|C) * P(C)
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* Example of incorrect use:
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* P(A|B) * P(A|C) = ?
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* P(A|B) * P(B|A) = ?
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* We check for overlapping frontals, but do *not* check for cyclic.
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*/
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DiscreteConditional operator*(const DiscreteConditional& other) const;
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/** Calculate marginal on given key, no parent case. */
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DiscreteConditional marginal(Key key) const;
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/// @}
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/// @name Testable
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@ -136,11 +157,6 @@ class GTSAM_EXPORT DiscreteConditional
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return ADT::operator()(values);
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}
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/** Convert to a factor */
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DecisionTreeFactor::shared_ptr toFactor() const {
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return DecisionTreeFactor::shared_ptr(new DecisionTreeFactor(*this));
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}
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/** Restrict to given parent values, returns DecisionTreeFactor */
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DecisionTreeFactor::shared_ptr choose(
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const DiscreteValues& parentsValues) const;
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@ -208,23 +224,4 @@ class GTSAM_EXPORT DiscreteConditional
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template <>
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struct traits<DiscreteConditional> : public Testable<DiscreteConditional> {};
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/* ************************************************************************* */
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template <typename ITERATOR>
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DiscreteConditional::shared_ptr DiscreteConditional::Combine(
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ITERATOR firstConditional, ITERATOR lastConditional) {
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// TODO: check for being a clique
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// multiply all the potentials of the given conditionals
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size_t nrFrontals = 0;
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DecisionTreeFactor product;
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for (ITERATOR it = firstConditional; it != lastConditional;
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++it, ++nrFrontals) {
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DiscreteConditional::shared_ptr c = *it;
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DecisionTreeFactor::shared_ptr factor = c->toFactor();
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product = (*factor) * product;
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}
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// and then create a new multi-frontal conditional
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return boost::make_shared<DiscreteConditional>(nrFrontals, product);
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}
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} // namespace gtsam
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@ -48,17 +48,17 @@ class GTSAM_EXPORT DiscretePrior : public DiscreteConditional {
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DiscretePrior(const Signature& s) : Base(s) {}
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/**
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* Construct from key and a Signature::Table specifying the
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* conditional probability table (CPT).
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* Construct from key and a vector of floats specifying the probability mass
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* function (PMF).
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*
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* Example: DiscretePrior P(D, table);
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* Example: DiscretePrior P(D, {0.4, 0.6});
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*/
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DiscretePrior(const DiscreteKey& key, const Signature::Table& table)
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: Base(Signature(key, {}, table)) {}
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DiscretePrior(const DiscreteKey& key, const std::vector<double>& spec)
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: DiscretePrior(Signature(key, {}, Signature::Table{spec})) {}
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/**
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* Construct from key and a string specifying the conditional
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* probability table (CPT).
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* Construct from key and a string specifying the probability mass function
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* (PMF).
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*
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* Example: DiscretePrior P(D, "9/1 2/8 3/7 1/9");
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*/
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@ -58,6 +58,15 @@ virtual class DecisionTreeFactor : gtsam::DiscreteFactor {
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const gtsam::KeyFormatter& keyFormatter =
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gtsam::DefaultKeyFormatter) const;
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bool equals(const gtsam::DecisionTreeFactor& other, double tol = 1e-9) const;
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double operator()(const gtsam::DiscreteValues& values) const;
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gtsam::DecisionTreeFactor operator*(const gtsam::DecisionTreeFactor& f) const;
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size_t cardinality(gtsam::Key j) const;
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gtsam::DecisionTreeFactor operator/(const gtsam::DecisionTreeFactor& f) const;
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gtsam::DecisionTreeFactor* sum(size_t nrFrontals) const;
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gtsam::DecisionTreeFactor* sum(const gtsam::Ordering& keys) const;
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gtsam::DecisionTreeFactor* max(size_t nrFrontals) const;
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string dot(
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const gtsam::KeyFormatter& keyFormatter = gtsam::DefaultKeyFormatter,
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bool showZero = true) const;
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@ -86,14 +95,18 @@ virtual class DiscreteConditional : gtsam::DecisionTreeFactor {
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DiscreteConditional(const gtsam::DecisionTreeFactor& joint,
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const gtsam::DecisionTreeFactor& marginal,
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const gtsam::Ordering& orderedKeys);
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gtsam::DiscreteConditional operator*(
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const gtsam::DiscreteConditional& other) const;
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DiscreteConditional marginal(gtsam::Key key) const;
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void print(string s = "Discrete Conditional\n",
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const gtsam::KeyFormatter& keyFormatter =
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gtsam::DefaultKeyFormatter) const;
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bool equals(const gtsam::DiscreteConditional& other, double tol = 1e-9) const;
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size_t nrFrontals() const;
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size_t nrParents() const;
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void printSignature(
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string s = "Discrete Conditional: ",
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const gtsam::KeyFormatter& formatter = gtsam::DefaultKeyFormatter) const;
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gtsam::DecisionTreeFactor* toFactor() const;
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gtsam::DecisionTreeFactor* choose(
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const gtsam::DiscreteValues& parentsValues) const;
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gtsam::DecisionTreeFactor* likelihood(
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@ -120,6 +133,7 @@ virtual class DiscretePrior : gtsam::DiscreteConditional {
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DiscretePrior();
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DiscretePrior(const gtsam::DecisionTreeFactor& f);
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DiscretePrior(const gtsam::DiscreteKey& key, string spec);
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DiscretePrior(const gtsam::DiscreteKey& key, std::vector<double> spec);
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void print(string s = "Discrete Prior\n",
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const gtsam::KeyFormatter& keyFormatter =
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gtsam::DefaultKeyFormatter) const;
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@ -17,10 +17,12 @@
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* @author Duy-Nguyen Ta
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*/
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#include <gtsam/discrete/Signature.h>
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#include <gtsam/discrete/DecisionTreeFactor.h>
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#include <gtsam/base/Testable.h>
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#include <CppUnitLite/TestHarness.h>
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#include <gtsam/base/Testable.h>
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#include <gtsam/discrete/DecisionTreeFactor.h>
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#include <gtsam/discrete/DiscretePrior.h>
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#include <gtsam/discrete/Signature.h>
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#include <boost/assign/std/map.hpp>
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using namespace boost::assign;
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@ -51,17 +53,21 @@ TEST( DecisionTreeFactor, constructors)
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}
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/* ************************************************************************* */
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TEST_UNSAFE( DecisionTreeFactor, multiplication)
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{
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DiscreteKey v0(0,2), v1(1,2), v2(2,2);
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TEST(DecisionTreeFactor, multiplication) {
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DiscreteKey v0(0, 2), v1(1, 2), v2(2, 2);
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// Multiply with a DiscretePrior, i.e., Bayes Law!
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DiscretePrior prior(v1 % "1/3");
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DecisionTreeFactor f1(v0 & v1, "1 2 3 4");
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DecisionTreeFactor expected(v0 & v1, "0.25 1.5 0.75 3");
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CHECK(assert_equal(expected, static_cast<DecisionTreeFactor>(prior) * f1));
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CHECK(assert_equal(expected, f1 * prior));
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// Multiply two factors
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DecisionTreeFactor f2(v1 & v2, "5 6 7 8");
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DecisionTreeFactor expected(v0 & v1 & v2, "5 6 14 16 15 18 28 32");
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DecisionTreeFactor actual = f1 * f2;
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CHECK(assert_equal(expected, actual));
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DecisionTreeFactor expected2(v0 & v1 & v2, "5 6 14 16 15 18 28 32");
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CHECK(assert_equal(expected2, actual));
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}
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/* ************************************************************************* */
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@ -34,20 +34,21 @@ using namespace gtsam;
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TEST(DiscreteConditional, constructors) {
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DiscreteKey X(0, 2), Y(2, 3), Z(1, 2); // watch ordering !
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DiscreteConditional expected(X | Y = "1/1 2/3 1/4");
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EXPECT_LONGS_EQUAL(0, *(expected.beginFrontals()));
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EXPECT_LONGS_EQUAL(2, *(expected.beginParents()));
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EXPECT(expected.endParents() == expected.end());
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EXPECT(expected.endFrontals() == expected.beginParents());
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DiscreteConditional actual(X | Y = "1/1 2/3 1/4");
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EXPECT_LONGS_EQUAL(0, *(actual.beginFrontals()));
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EXPECT_LONGS_EQUAL(2, *(actual.beginParents()));
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EXPECT(actual.endParents() == actual.end());
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EXPECT(actual.endFrontals() == actual.beginParents());
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DecisionTreeFactor f1(X & Y, "0.5 0.4 0.2 0.5 0.6 0.8");
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DiscreteConditional actual1(1, f1);
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EXPECT(assert_equal(expected, actual1, 1e-9));
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DiscreteConditional expected1(1, f1);
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EXPECT(assert_equal(expected1, actual, 1e-9));
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DecisionTreeFactor f2(
|
||||
X & Y & Z, "0.2 0.5 0.3 0.6 0.4 0.7 0.25 0.55 0.35 0.65 0.45 0.75");
|
||||
DiscreteConditional actual2(1, f2);
|
||||
EXPECT(assert_equal(f2 / *f2.sum(1), *actual2.toFactor(), 1e-9));
|
||||
DecisionTreeFactor expected2 = f2 / *f2.sum(1);
|
||||
EXPECT(assert_equal(expected2, static_cast<DecisionTreeFactor>(actual2)));
|
||||
}
|
||||
|
||||
/* ************************************************************************* */
|
||||
|
@ -61,6 +62,7 @@ TEST(DiscreteConditional, constructors_alt_interface) {
|
|||
r3 += 1.0, 4.0;
|
||||
table += r1, r2, r3;
|
||||
DiscreteConditional actual1(X, {Y}, table);
|
||||
|
||||
DecisionTreeFactor f1(X & Y, "0.5 0.4 0.2 0.5 0.6 0.8");
|
||||
DiscreteConditional expected1(1, f1);
|
||||
EXPECT(assert_equal(expected1, actual1, 1e-9));
|
||||
|
@ -68,41 +70,141 @@ TEST(DiscreteConditional, constructors_alt_interface) {
|
|||
DecisionTreeFactor f2(
|
||||
X & Y & Z, "0.2 0.5 0.3 0.6 0.4 0.7 0.25 0.55 0.35 0.65 0.45 0.75");
|
||||
DiscreteConditional actual2(1, f2);
|
||||
EXPECT(assert_equal(f2 / *f2.sum(1), *actual2.toFactor(), 1e-9));
|
||||
DecisionTreeFactor expected2 = f2 / *f2.sum(1);
|
||||
EXPECT(assert_equal(expected2, static_cast<DecisionTreeFactor>(actual2)));
|
||||
}
|
||||
|
||||
/* ************************************************************************* */
|
||||
TEST(DiscreteConditional, constructors2) {
|
||||
// Declare keys and ordering
|
||||
DiscreteKey C(0, 2), B(1, 2);
|
||||
DecisionTreeFactor actual(C & B, "0.8 0.75 0.2 0.25");
|
||||
Signature signature((C | B) = "4/1 3/1");
|
||||
DiscreteConditional expected(signature);
|
||||
DecisionTreeFactor::shared_ptr expectedFactor = expected.toFactor();
|
||||
EXPECT(assert_equal(*expectedFactor, actual));
|
||||
DiscreteConditional actual(signature);
|
||||
|
||||
DecisionTreeFactor expected(C & B, "0.8 0.75 0.2 0.25");
|
||||
EXPECT(assert_equal(expected, static_cast<DecisionTreeFactor>(actual)));
|
||||
}
|
||||
|
||||
/* ************************************************************************* */
|
||||
TEST(DiscreteConditional, constructors3) {
|
||||
// Declare keys and ordering
|
||||
DiscreteKey C(0, 2), B(1, 2), A(2, 2);
|
||||
DecisionTreeFactor actual(C & B & A, "0.8 0.5 0.5 0.2 0.2 0.5 0.5 0.8");
|
||||
Signature signature((C | B, A) = "4/1 1/1 1/1 1/4");
|
||||
DiscreteConditional expected(signature);
|
||||
DecisionTreeFactor::shared_ptr expectedFactor = expected.toFactor();
|
||||
EXPECT(assert_equal(*expectedFactor, actual));
|
||||
DiscreteConditional actual(signature);
|
||||
|
||||
DecisionTreeFactor expected(C & B & A, "0.8 0.5 0.5 0.2 0.2 0.5 0.5 0.8");
|
||||
EXPECT(assert_equal(expected, static_cast<DecisionTreeFactor>(actual)));
|
||||
}
|
||||
|
||||
/* ************************************************************************* */
|
||||
TEST(DiscreteConditional, Combine) {
|
||||
DiscreteKey A(0, 2), B(1, 2);
|
||||
vector<DiscreteConditional::shared_ptr> c;
|
||||
c.push_back(boost::make_shared<DiscreteConditional>(A | B = "1/2 2/1"));
|
||||
c.push_back(boost::make_shared<DiscreteConditional>(B % "1/2"));
|
||||
DecisionTreeFactor factor(A & B, "0.111111 0.444444 0.222222 0.222222");
|
||||
DiscreteConditional expected(2, factor);
|
||||
auto actual = DiscreteConditional::Combine(c.begin(), c.end());
|
||||
EXPECT(assert_equal(expected, *actual, 1e-5));
|
||||
// Check calculation of joint P(A,B)
|
||||
TEST(DiscreteConditional, Multiply) {
|
||||
DiscreteKey A(1, 2), B(0, 2);
|
||||
DiscreteConditional conditional(A | B = "1/2 2/1");
|
||||
DiscreteConditional prior(B % "1/2");
|
||||
|
||||
// The expected factor
|
||||
DecisionTreeFactor f(A & B, "1 4 2 2");
|
||||
DiscreteConditional expected(2, f);
|
||||
|
||||
// P(A,B) = P(A|B) * P(B) = P(B) * P(A|B)
|
||||
for (auto&& actual : {prior * conditional, conditional * prior}) {
|
||||
EXPECT_LONGS_EQUAL(2, actual.nrFrontals());
|
||||
KeyVector frontals(actual.beginFrontals(), actual.endFrontals());
|
||||
EXPECT((frontals == KeyVector{0, 1}));
|
||||
for (auto&& it : actual.enumerate()) {
|
||||
const DiscreteValues& v = it.first;
|
||||
EXPECT_DOUBLES_EQUAL(actual(v), conditional(v) * prior(v), 1e-9);
|
||||
}
|
||||
// And for good measure:
|
||||
EXPECT(assert_equal(expected, actual));
|
||||
}
|
||||
}
|
||||
|
||||
/* ************************************************************************* */
|
||||
// Check calculation of conditional joint P(A,B|C)
|
||||
TEST(DiscreteConditional, Multiply2) {
|
||||
DiscreteKey A(0, 2), B(1, 2), C(2, 2);
|
||||
DiscreteConditional A_given_B(A | B = "1/3 3/1");
|
||||
DiscreteConditional B_given_C(B | C = "1/3 3/1");
|
||||
|
||||
// P(A,B|C) = P(A|B)P(B|C) = P(B|C)P(A|B)
|
||||
for (auto&& actual : {A_given_B * B_given_C, B_given_C * A_given_B}) {
|
||||
EXPECT_LONGS_EQUAL(2, actual.nrFrontals());
|
||||
EXPECT_LONGS_EQUAL(1, actual.nrParents());
|
||||
KeyVector frontals(actual.beginFrontals(), actual.endFrontals());
|
||||
EXPECT((frontals == KeyVector{0, 1}));
|
||||
for (auto&& it : actual.enumerate()) {
|
||||
const DiscreteValues& v = it.first;
|
||||
EXPECT_DOUBLES_EQUAL(actual(v), A_given_B(v) * B_given_C(v), 1e-9);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/* ************************************************************************* */
|
||||
// Check calculation of conditional joint P(A,B|C), double check keys
|
||||
TEST(DiscreteConditional, Multiply3) {
|
||||
DiscreteKey A(1, 2), B(2, 2), C(0, 2); // different keys!!!
|
||||
DiscreteConditional A_given_B(A | B = "1/3 3/1");
|
||||
DiscreteConditional B_given_C(B | C = "1/3 3/1");
|
||||
|
||||
// P(A,B|C) = P(A|B)P(B|C) = P(B|C)P(A|B)
|
||||
for (auto&& actual : {A_given_B * B_given_C, B_given_C * A_given_B}) {
|
||||
EXPECT_LONGS_EQUAL(2, actual.nrFrontals());
|
||||
EXPECT_LONGS_EQUAL(1, actual.nrParents());
|
||||
KeyVector frontals(actual.beginFrontals(), actual.endFrontals());
|
||||
EXPECT((frontals == KeyVector{1, 2}));
|
||||
for (auto&& it : actual.enumerate()) {
|
||||
const DiscreteValues& v = it.first;
|
||||
EXPECT_DOUBLES_EQUAL(actual(v), A_given_B(v) * B_given_C(v), 1e-9);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/* ************************************************************************* */
|
||||
// Check calculation of conditional joint P(A,B,C|D,E) = P(A,B|D) P(C|D,E)
|
||||
TEST(DiscreteConditional, Multiply4) {
|
||||
DiscreteKey A(0, 2), B(1, 2), C(2, 2), D(4, 2), E(3, 2);
|
||||
DiscreteConditional A_given_B(A | B = "1/3 3/1");
|
||||
DiscreteConditional B_given_D(B | D = "1/3 3/1");
|
||||
DiscreteConditional AB_given_D = A_given_B * B_given_D;
|
||||
DiscreteConditional C_given_DE((C | D, E) = "4/1 1/1 1/1 1/4");
|
||||
|
||||
// P(A,B,C|D,E) = P(A,B|D) P(C|D,E) = P(C|D,E) P(A,B|D)
|
||||
for (auto&& actual : {AB_given_D * C_given_DE, C_given_DE * AB_given_D}) {
|
||||
EXPECT_LONGS_EQUAL(3, actual.nrFrontals());
|
||||
EXPECT_LONGS_EQUAL(2, actual.nrParents());
|
||||
KeyVector frontals(actual.beginFrontals(), actual.endFrontals());
|
||||
EXPECT((frontals == KeyVector{0, 1, 2}));
|
||||
KeyVector parents(actual.beginParents(), actual.endParents());
|
||||
EXPECT((parents == KeyVector{3, 4}));
|
||||
for (auto&& it : actual.enumerate()) {
|
||||
const DiscreteValues& v = it.first;
|
||||
EXPECT_DOUBLES_EQUAL(actual(v), AB_given_D(v) * C_given_DE(v), 1e-9);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/* ************************************************************************* */
|
||||
// Check calculation of marginals for joint P(A,B)
|
||||
TEST(DiscreteConditional, marginals) {
|
||||
DiscreteKey A(1, 2), B(0, 2);
|
||||
DiscreteConditional conditional(A | B = "1/2 2/1");
|
||||
DiscreteConditional prior(B % "1/2");
|
||||
DiscreteConditional pAB = prior * conditional;
|
||||
|
||||
DiscreteConditional actualA = pAB.marginal(A.first);
|
||||
DiscreteConditional pA(A % "5/4");
|
||||
EXPECT(assert_equal(pA, actualA));
|
||||
EXPECT_LONGS_EQUAL(1, actualA.nrFrontals());
|
||||
EXPECT_LONGS_EQUAL(0, actualA.nrParents());
|
||||
KeyVector frontalsA(actualA.beginFrontals(), actualA.endFrontals());
|
||||
EXPECT((frontalsA == KeyVector{1}));
|
||||
|
||||
DiscreteConditional actualB = pAB.marginal(B.first);
|
||||
EXPECT(assert_equal(prior, actualB));
|
||||
EXPECT_LONGS_EQUAL(1, actualB.nrFrontals());
|
||||
EXPECT_LONGS_EQUAL(0, actualB.nrParents());
|
||||
KeyVector frontalsB(actualB.beginFrontals(), actualB.endFrontals());
|
||||
EXPECT((frontalsB == KeyVector{0}));
|
||||
}
|
||||
|
||||
/* ************************************************************************* */
|
||||
|
|
|
@ -27,12 +27,32 @@ static const DiscreteKey X(0, 2);
|
|||
|
||||
/* ************************************************************************* */
|
||||
TEST(DiscretePrior, constructors) {
|
||||
DecisionTreeFactor f(X, "0.4 0.6");
|
||||
DiscretePrior expected(f);
|
||||
|
||||
DiscretePrior actual(X % "2/3");
|
||||
EXPECT_LONGS_EQUAL(1, actual.nrFrontals());
|
||||
EXPECT_LONGS_EQUAL(0, actual.nrParents());
|
||||
DecisionTreeFactor f(X, "0.4 0.6");
|
||||
DiscretePrior expected(f);
|
||||
EXPECT(assert_equal(expected, actual, 1e-9));
|
||||
|
||||
const vector<double> pmf{0.4, 0.6};
|
||||
DiscretePrior actual2(X, pmf);
|
||||
EXPECT_LONGS_EQUAL(1, actual2.nrFrontals());
|
||||
EXPECT_LONGS_EQUAL(0, actual2.nrParents());
|
||||
EXPECT(assert_equal(expected, actual2, 1e-9));
|
||||
}
|
||||
|
||||
/* ************************************************************************* */
|
||||
TEST(DiscretePrior, Multiply) {
|
||||
DiscreteKey A(0, 2), B(1, 2);
|
||||
DiscreteConditional conditional(A | B = "1/2 2/1");
|
||||
DiscretePrior prior(B, "1/2");
|
||||
DiscreteConditional actual = prior * conditional; // P(A|B) * P(B)
|
||||
|
||||
EXPECT_LONGS_EQUAL(2, actual.nrFrontals()); // = P(A,B)
|
||||
DecisionTreeFactor factor(A & B, "1 4 2 2");
|
||||
DiscreteConditional expected(2, factor);
|
||||
EXPECT(assert_equal(expected, actual, 1e-5));
|
||||
}
|
||||
|
||||
/* ************************************************************************* */
|
||||
|
|
|
@ -11,7 +11,7 @@ namespace gtsam {
|
|||
// ######
|
||||
|
||||
#include <gtsam/slam/BetweenFactor.h>
|
||||
template <T = {Vector, gtsam::Point2, gtsam::Point3, gtsam::Rot2, gtsam::SO3,
|
||||
template <T = {double, Vector, gtsam::Point2, gtsam::Point3, gtsam::Rot2, gtsam::SO3,
|
||||
gtsam::SO4, gtsam::Rot3, gtsam::Pose2, gtsam::Pose3,
|
||||
gtsam::imuBias::ConstantBias}>
|
||||
virtual class BetweenFactor : gtsam::NoiseModelFactor {
|
||||
|
|
|
@ -13,7 +13,7 @@ Author: Frank Dellaert
|
|||
|
||||
import unittest
|
||||
|
||||
from gtsam import DecisionTreeFactor, DecisionTreeFactor, DiscreteKeys
|
||||
from gtsam import DecisionTreeFactor, DiscreteValues, DiscretePrior, Ordering
|
||||
from gtsam.utils.test_case import GtsamTestCase
|
||||
|
||||
|
||||
|
@ -21,15 +21,59 @@ class TestDecisionTreeFactor(GtsamTestCase):
|
|||
"""Tests for DecisionTreeFactors."""
|
||||
|
||||
def setUp(self):
|
||||
A = (12, 3)
|
||||
B = (5, 2)
|
||||
self.factor = DecisionTreeFactor([A, B], "1 2 3 4 5 6")
|
||||
self.A = (12, 3)
|
||||
self.B = (5, 2)
|
||||
self.factor = DecisionTreeFactor([self.A, self.B], "1 2 3 4 5 6")
|
||||
|
||||
def test_enumerate(self):
|
||||
actual = self.factor.enumerate()
|
||||
_, values = zip(*actual)
|
||||
self.assertEqual(list(values), [1.0, 2.0, 3.0, 4.0, 5.0, 6.0])
|
||||
|
||||
def test_multiplication(self):
|
||||
"""Test whether multiplication works with overloading."""
|
||||
v0 = (0, 2)
|
||||
v1 = (1, 2)
|
||||
v2 = (2, 2)
|
||||
|
||||
# Multiply with a DiscretePrior, i.e., Bayes Law!
|
||||
prior = DiscretePrior(v1, [1, 3])
|
||||
f1 = DecisionTreeFactor([v0, v1], "1 2 3 4")
|
||||
expected = DecisionTreeFactor([v0, v1], "0.25 1.5 0.75 3")
|
||||
self.gtsamAssertEquals(DecisionTreeFactor(prior) * f1, expected)
|
||||
self.gtsamAssertEquals(f1 * prior, expected)
|
||||
|
||||
# Multiply two factors
|
||||
f2 = DecisionTreeFactor([v1, v2], "5 6 7 8")
|
||||
actual = f1 * f2
|
||||
expected2 = DecisionTreeFactor([v0, v1, v2], "5 6 14 16 15 18 28 32")
|
||||
self.gtsamAssertEquals(actual, expected2)
|
||||
|
||||
def test_methods(self):
|
||||
"""Test whether we can call methods in python."""
|
||||
# double operator()(const DiscreteValues& values) const;
|
||||
values = DiscreteValues()
|
||||
values[self.A[0]] = 0
|
||||
values[self.B[0]] = 0
|
||||
self.assertIsInstance(self.factor(values), float)
|
||||
|
||||
# size_t cardinality(Key j) const;
|
||||
self.assertIsInstance(self.factor.cardinality(self.A[0]), int)
|
||||
|
||||
# DecisionTreeFactor operator/(const DecisionTreeFactor& f) const;
|
||||
self.assertIsInstance(self.factor / self.factor, DecisionTreeFactor)
|
||||
|
||||
# DecisionTreeFactor* sum(size_t nrFrontals) const;
|
||||
self.assertIsInstance(self.factor.sum(1), DecisionTreeFactor)
|
||||
|
||||
# DecisionTreeFactor* sum(const Ordering& keys) const;
|
||||
ordering = Ordering()
|
||||
ordering.push_back(self.A[0])
|
||||
self.assertIsInstance(self.factor.sum(ordering), DecisionTreeFactor)
|
||||
|
||||
# DecisionTreeFactor* max(size_t nrFrontals) const;
|
||||
self.assertIsInstance(self.factor.max(1), DecisionTreeFactor)
|
||||
|
||||
def test_markdown(self):
|
||||
"""Test whether the _repr_markdown_ method."""
|
||||
|
||||
|
|
|
@ -16,6 +16,13 @@ import unittest
|
|||
from gtsam import DecisionTreeFactor, DiscreteConditional, DiscreteKeys
|
||||
from gtsam.utils.test_case import GtsamTestCase
|
||||
|
||||
# Some DiscreteKeys for binary variables:
|
||||
A = 0, 2
|
||||
B = 1, 2
|
||||
C = 2, 2
|
||||
D = 4, 2
|
||||
E = 3, 2
|
||||
|
||||
|
||||
class TestDiscreteConditional(GtsamTestCase):
|
||||
"""Tests for Discrete Conditionals."""
|
||||
|
@ -36,6 +43,53 @@ class TestDiscreteConditional(GtsamTestCase):
|
|||
actual = conditional.sample(2)
|
||||
self.assertIsInstance(actual, int)
|
||||
|
||||
def test_multiply(self):
|
||||
"""Check calculation of joint P(A,B)"""
|
||||
conditional = DiscreteConditional(A, [B], "1/2 2/1")
|
||||
prior = DiscreteConditional(B, "1/2")
|
||||
|
||||
# P(A,B) = P(A|B) * P(B) = P(B) * P(A|B)
|
||||
for actual in [prior * conditional, conditional * prior]:
|
||||
self.assertEqual(2, actual.nrFrontals())
|
||||
for v, value in actual.enumerate():
|
||||
self.assertAlmostEqual(actual(v), conditional(v) * prior(v))
|
||||
|
||||
def test_multiply2(self):
|
||||
"""Check calculation of conditional joint P(A,B|C)"""
|
||||
A_given_B = DiscreteConditional(A, [B], "1/3 3/1")
|
||||
B_given_C = DiscreteConditional(B, [C], "1/3 3/1")
|
||||
|
||||
# P(A,B|C) = P(A|B)P(B|C) = P(B|C)P(A|B)
|
||||
for actual in [A_given_B * B_given_C, B_given_C * A_given_B]:
|
||||
self.assertEqual(2, actual.nrFrontals())
|
||||
self.assertEqual(1, actual.nrParents())
|
||||
for v, value in actual.enumerate():
|
||||
self.assertAlmostEqual(actual(v), A_given_B(v) * B_given_C(v))
|
||||
|
||||
def test_multiply4(self):
|
||||
"""Check calculation of joint P(A,B,C|D,E) = P(A,B|D) P(C|D,E)"""
|
||||
A_given_B = DiscreteConditional(A, [B], "1/3 3/1")
|
||||
B_given_D = DiscreteConditional(B, [D], "1/3 3/1")
|
||||
AB_given_D = A_given_B * B_given_D
|
||||
C_given_DE = DiscreteConditional(C, [D, E], "4/1 1/1 1/1 1/4")
|
||||
|
||||
# P(A,B,C|D,E) = P(A,B|D) P(C|D,E) = P(C|D,E) P(A,B|D)
|
||||
for actual in [AB_given_D * C_given_DE, C_given_DE * AB_given_D]:
|
||||
self.assertEqual(3, actual.nrFrontals())
|
||||
self.assertEqual(2, actual.nrParents())
|
||||
for v, value in actual.enumerate():
|
||||
self.assertAlmostEqual(
|
||||
actual(v), AB_given_D(v) * C_given_DE(v))
|
||||
|
||||
def test_marginals(self):
|
||||
conditional = DiscreteConditional(A, [B], "1/2 2/1")
|
||||
prior = DiscreteConditional(B, "1/2")
|
||||
pAB = prior * conditional
|
||||
self.gtsamAssertEquals(prior, pAB.marginal(B[0]))
|
||||
|
||||
pA = DiscreteConditional(A, "5/4")
|
||||
self.gtsamAssertEquals(pA, pAB.marginal(A[0]))
|
||||
|
||||
def test_markdown(self):
|
||||
"""Test whether the _repr_markdown_ method."""
|
||||
|
||||
|
@ -48,8 +102,7 @@ class TestDiscreteConditional(GtsamTestCase):
|
|||
|
||||
conditional = DiscreteConditional(A, parents,
|
||||
"0/1 1/3 1/1 3/1 0/1 1/0")
|
||||
expected = \
|
||||
" *P(A|B,C):*\n\n" \
|
||||
expected = " *P(A|B,C):*\n\n" \
|
||||
"|*B*|*C*|0|1|\n" \
|
||||
"|:-:|:-:|:-:|:-:|\n" \
|
||||
"|0|0|0|1|\n" \
|
||||
|
|
|
@ -25,12 +25,16 @@ class TestDiscretePrior(GtsamTestCase):
|
|||
|
||||
def test_constructor(self):
|
||||
"""Test various constructors."""
|
||||
actual = DiscretePrior(X, "2/3")
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keys = DiscreteKeys()
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keys.push_back(X)
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f = DecisionTreeFactor(keys, "0.4 0.6")
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expected = DiscretePrior(f)
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actual = DiscretePrior(X, "2/3")
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self.gtsamAssertEquals(actual, expected)
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|
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actual2 = DiscretePrior(X, [0.4, 0.6])
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self.gtsamAssertEquals(actual2, expected)
|
||||
|
||||
def test_operator(self):
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prior = DiscretePrior(X, "2/3")
|
||||
|
|
Loading…
Reference in New Issue