python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy Class Reference

Inheritance diagram for python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy:

Public Member Functions
	__init__ (self, params)
	computeBilinearForm (self, grid)
	computeBilinearFormEntry (self, basis, gpi, gpj)
	getKey (self, gps)

Protected Attributes
	_U

Detailed Description

Generate the a quadrature strategy that appriximates the probability
density in each dimension with a piecewise constant function. Each constant
function is determined by the density evaluated at the center of the support
of the corresponding basis function.

Constructor & Destructor Documentation

__init__()

python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy.__init__	(		self,
			params
	)

Constructor

References python.controller.InfoToScreenRegressor.InfoToScreenRegressor.__class__, python.uq.estimators.AnalyticEstimationStrategy.AnalyticEstimationStrategy.__class__, python.uq.estimators.MarginalAnalyticEstimationStrategy.MarginalAnalyticEstimationStrategy.__class__, python.uq.estimators.MarginalIntegralStrategy.MarginalIntegralStrategy.__class__, python.uq.learner.builder.SimulationLearnerBuilder.SimulationLearnerBuilder.__class__, python.uq.learner.Regressor.Regressor.__class__, python.uq.learner.SimulationLearnerSpecification.SimulationLearnerSpecification.__class__, python.uq.quadrature.bilinearform.DiscreteBilinearScipyQuadratureStrategy.DiscreteBilinearScipyQuadratureStrategy.__class__, python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy.__class__, python.uq.quadrature.bilinearform.SparseGridQuadratureStrategy.SparseGridQuadratureStrategy.__class__, python.uq.quadrature.bilinearform.UniformQuadratureStrategy.UniformQuadratureStrategy.__class__, python.uq.refinement.RefinementStrategy.AnchoredWeightedL2OptRanking.__class__, python.uq.refinement.RefinementStrategy.WeightedL2OptRanking.__class__, python.uq.refinement.RefinementStrategy.AnchoredExpectationValueOptRanking.__class__, python.uq.refinement.RefinementStrategy.ExpectationValueOptRanking.__class__, python.uq.refinement.RefinementStrategy.VarianceOptRanking.__class__, python.uq.refinement.RefinementStrategy.AnchoredVarianceOptRanking.__class__, python.uq.refinement.RefinementStrategy.MeanSquaredOptRanking.__class__, python.uq.refinement.RefinementStrategy.AnchoredMeanSquaredOptRanking.__class__, python.uq.refinement.RefinementStrategy.SquaredSurplusBFRanking.__class__, python.uq.refinement.RefinementStrategy.WeightedL2BFRanking.__class__, python.uq.refinement.RefinementStrategy.VarianceBFRanking.__class__, python.uq.refinement.RefinementStrategy.ExpectationValueBFRanking.__class__, python.uq.refinement.RefinementStrategy.LinearSurplusEstimationRanking.__class__, python.uq.refinement.RefinementStrategy.PredictiveRanking.__class__, python.uq.sampler.asgc.ASGCSampler.ASGCSampler.__class__, python.uq.sampler.MCSampler.MCSampler.__class__, and python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy.__init__().

Referenced by python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy.__init__().

Member Function Documentation

computeBilinearForm()

python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy.computeBilinearForm	(		self,
			grid
	)

Compute bilinear form for the current grid
@param grid: Grid
@return DataMatrix

References sgpp::base::GridDataBase._map, python.uq.quadrature.HashQuadrature.HashQuadrature._map, python.uq.quadrature.HashQuadrature.HashQuadratureMap._map, python.uq.quadrature.bilinearform.BilinearQuadratureStrategy.BilinearQuadratureStrategy._U, python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy._U, python.uq.quadrature.bilinearform.SparseGridQuadratureStrategy.SparseGridQuadratureStrategy._U, python.uq.quadrature.HashQuadrature.HashQuadrature._U, python.uq.quadrature.linearform.LinearQuadratureStrategy.LinearQuadratureStrategy._U, python.uq.quadrature.trilinearform.TrilinearQuadratureStrategy.TrilinearQuadratureStrategy._U, python.uq.quadrature.HashQuadrature.HashQuadratureMap.getKey(), python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy.getKey(), python.uq.quadrature.bilinearform.UniformQuadratureStrategy.UniformQuadratureStrategy.getKey(), and python.uq.analysis.Analysis.AnalysisHash.getKey().

computeBilinearFormEntry()

python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy.computeBilinearFormEntry	(		self,
			basis,
			gpi,
			gpj
	)

References sgpp::base::GridDataBase._map, python.uq.quadrature.HashQuadrature.HashQuadrature._map, python.uq.quadrature.HashQuadrature.HashQuadratureMap._map, python.uq.quadrature.HashQuadrature.HashQuadratureMap.getKey(), python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy.getKey(), python.uq.quadrature.bilinearform.UniformQuadratureStrategy.UniformQuadratureStrategy.getKey(), and python.uq.analysis.Analysis.AnalysisHash.getKey().

Referenced by python.uq.quadrature.bilinearform.BilinearQuadratureStrategy.BilinearQuadratureStrategy.getBilinearFormEntry().

getKey()

python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy.getKey	(		self,
			gps
	)

Generates a unique key for a given list of grid points
@param gps: list of HashGridPoint

Referenced by python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy.computeBilinearForm(), python.uq.quadrature.bilinearform.UniformQuadratureStrategy.UniformQuadratureStrategy.computeBilinearForm(), python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy.computeBilinearFormEntry(), python.uq.quadrature.bilinearform.UniformQuadratureStrategy.UniformQuadratureStrategy.computeBilinearFormEntry(), python.uq.analysis.Analysis.AnalysisHash.getMoment(), python.uq.analysis.Analysis.AnalysisHash.hasMoment(), and python.uq.analysis.Analysis.AnalysisHash.setMoment().

Member Data Documentation

_U

python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy._U

protected

Referenced by python.uq.quadrature.bilinearform.PiecewiseConstantQuadratureStrategy.PiecewiseConstantQuadratureStrategy.computeBilinearForm(), python.uq.quadrature.bilinearform.SparseGridQuadratureStrategy.SparseGridQuadratureStrategy.computeBilinearFormEntry(), python.uq.quadrature.bilinearform.BilinearGaussQuadratureStrategy.BilinearGaussQuadratureStrategy.computeBilinearFormEntryForBsplines(), python.uq.quadrature.bilinearform.BilinearGaussQuadratureStrategy.BilinearGaussQuadratureStrategy.computeBilinearFormEntryForTwoSegments(), python.uq.quadrature.linearform.LinearGaussQuadratureStrategy.LinearGaussQuadratureStrategy.computeLinearFormEntryForBsplines(), python.uq.quadrature.linearform.LinearGaussQuadratureStrategy.LinearGaussQuadratureStrategy.computeLinearFormEntryForTwoSegments(), and python.uq.quadrature.HashQuadrature.HashQuadrature.setDistributionAndTransformation().

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The documentation for this class was generated from the following file:

• datadriven/python/uq/quadrature/bilinearform/PiecewiseConstantQuadratureStrategy.py