File: t_IsoProbabilisticTransformation_EllipticalCopula.expout

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sample first= class=NumericalPoint name=Unnamed dimension=2 values=[1.18542,0.431558]  last= class=NumericalPoint name=Unnamed dimension=2 values=[-0.0893062,0.97441]
sample mean= class=NumericalPoint name=Unnamed dimension=2 values=[0.502667,0.992171]
sample covariance= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[0.744767,0.273144,0.273144,0.489568]
isoprobabilistic transformation= class=NumericalMathFunction name=Unnamed implementation=class=ComposedNumericalMathFunction name=Unnamed description=[x0,x1,y0,y1] left function=class=NumericalMathFunctionImplementation name=Unnamed description=[x0,x1,y0,y1] evaluationImplementation=class=LinearNumericalMathEvaluationImplementation name=Unnamed center=class=NumericalPoint name=Unnamed dimension=2 values=[0,0] constant=class=NumericalPoint name=Unnamed dimension=2 values=[0,0] linear=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,0,-0.57735,1.1547] gradientImplementation=class=ConstantNumericalMathGradientImplementation name=Unnamed constant=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,0,-0.57735,1.1547] hessianImplementation=class=ConstantNumericalMathHessianImplementation name=Unnamed constant=class=SymmetricTensor implementation=class=TensorImplementation name=Unnamed rows=2 columns=2 sheets=2 values=[0,0,0,0,0,0,0,0] right function=class=NumericalMathFunctionImplementation name=Unnamed description=[x0,x1,y0,y1] evaluationImplementation=class=MarginalTransformationEvaluation description=[x0,x1,y0,y1] input marginals=[class=Uniform name=Uniform dimension=1 a=-1 b=2,class=Gamma name=Gamma dimension=1 k=2 lambda=2 gamma=0] output marginals=[class=Normal name=Normal dimension=1 mean=class=NumericalPoint name=Unnamed dimension=1 values=[0] sigma=class=NumericalPoint name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1],class=Normal name=Normal dimension=1 mean=class=NumericalPoint name=Unnamed dimension=1 values=[0] sigma=class=NumericalPoint name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]] simplifications=[0,0] expressions=[class=NumericalMathFunction name=Unnamed implementation=class=NumericalMathFunctionImplementation name=Unnamed description=[] evaluationImplementation=class=NoNumericalMathEvaluationImplementation name=Unnamed gradientImplementation=class=NoNumericalMathGradientImplementation name=Unnamed hessianImplementation=class=NoNumericalMathHessianImplementation name=Unnamed,class=NumericalMathFunction name=Unnamed implementation=class=NumericalMathFunctionImplementation name=Unnamed description=[] evaluationImplementation=class=NoNumericalMathEvaluationImplementation name=Unnamed gradientImplementation=class=NoNumericalMathGradientImplementation name=Unnamed hessianImplementation=class=NoNumericalMathHessianImplementation name=Unnamed] gradientImplementation=class=MarginalTransformationGradient evaluation=class=MarginalTransformationEvaluation description=[x0,x1,y0,y1] input marginals=[class=Uniform name=Uniform dimension=1 a=-1 b=2,class=Gamma name=Gamma dimension=1 k=2 lambda=2 gamma=0] output marginals=[class=Normal name=Normal dimension=1 mean=class=NumericalPoint name=Unnamed dimension=1 values=[0] sigma=class=NumericalPoint name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1],class=Normal name=Normal dimension=1 mean=class=NumericalPoint name=Unnamed dimension=1 values=[0] sigma=class=NumericalPoint name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]] simplifications=[0,0] expressions=[class=NumericalMathFunction name=Unnamed implementation=class=NumericalMathFunctionImplementation name=Unnamed description=[] evaluationImplementation=class=NoNumericalMathEvaluationImplementation name=Unnamed gradientImplementation=class=NoNumericalMathGradientImplementation name=Unnamed hessianImplementation=class=NoNumericalMathHessianImplementation name=Unnamed,class=NumericalMathFunction name=Unnamed implementation=class=NumericalMathFunctionImplementation name=Unnamed description=[] evaluationImplementation=class=NoNumericalMathEvaluationImplementation name=Unnamed gradientImplementation=class=NoNumericalMathGradientImplementation name=Unnamed hessianImplementation=class=NoNumericalMathHessianImplementation name=Unnamed] hessianImplementation=class=MarginalTransformationHessian evaluation=class=MarginalTransformationEvaluation description=[x0,x1,y0,y1] input marginals=[class=Uniform name=Uniform dimension=1 a=-1 b=2,class=Gamma name=Gamma dimension=1 k=2 lambda=2 gamma=0] output marginals=[class=Normal name=Normal dimension=1 mean=class=NumericalPoint name=Unnamed dimension=1 values=[0] sigma=class=NumericalPoint name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1],class=Normal name=Normal dimension=1 mean=class=NumericalPoint name=Unnamed dimension=1 values=[0] sigma=class=NumericalPoint name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]] simplifications=[0,0] expressions=[class=NumericalMathFunction name=Unnamed implementation=class=NumericalMathFunctionImplementation name=Unnamed description=[] evaluationImplementation=class=NoNumericalMathEvaluationImplementation name=Unnamed gradientImplementation=class=NoNumericalMathGradientImplementation name=Unnamed hessianImplementation=class=NoNumericalMathHessianImplementation name=Unnamed,class=NumericalMathFunction name=Unnamed implementation=class=NumericalMathFunctionImplementation name=Unnamed description=[] evaluationImplementation=class=NoNumericalMathEvaluationImplementation name=Unnamed gradientImplementation=class=NoNumericalMathGradientImplementation name=Unnamed hessianImplementation=class=NoNumericalMathHessianImplementation name=Unnamed]
transformed sample first= class=NumericalPoint name=Unnamed dimension=2 values=[0.608202,-1.26617]  last= class=NumericalPoint name=Unnamed dimension=2 values=[-0.514176,0.52988]
transformed sample mean= class=NumericalPoint name=Unnamed dimension=2 values=[0.00249552,-0.0141031]
transformed sample covariance= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[0.987375,-0.01342,-0.01342,1.01408]
inverse isoprobabilistic transformation= class=NumericalMathFunction name=Unnamed implementation=class=ComposedNumericalMathFunction name=Unnamed description=[x0,x1,y0,y1] left function=class=NumericalMathFunctionImplementation name=Unnamed description=[x0,x1,y0,y1] evaluationImplementation=class=MarginalTransformationEvaluation description=[x0,x1,y0,y1] input marginals=[class=Normal name=Normal dimension=1 mean=class=NumericalPoint name=Unnamed dimension=1 values=[0] sigma=class=NumericalPoint name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1],class=Normal name=Normal dimension=1 mean=class=NumericalPoint name=Unnamed dimension=1 values=[0] sigma=class=NumericalPoint name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]] output marginals=[class=Uniform name=Uniform dimension=1 a=-1 b=2,class=Gamma name=Gamma dimension=1 k=2 lambda=2 gamma=0] simplifications=[0,0] expressions=[class=NumericalMathFunction name=Unnamed implementation=class=NumericalMathFunctionImplementation name=Unnamed description=[] evaluationImplementation=class=NoNumericalMathEvaluationImplementation name=Unnamed gradientImplementation=class=NoNumericalMathGradientImplementation name=Unnamed hessianImplementation=class=NoNumericalMathHessianImplementation name=Unnamed,class=NumericalMathFunction name=Unnamed implementation=class=NumericalMathFunctionImplementation name=Unnamed description=[] evaluationImplementation=class=NoNumericalMathEvaluationImplementation name=Unnamed gradientImplementation=class=NoNumericalMathGradientImplementation name=Unnamed hessianImplementation=class=NoNumericalMathHessianImplementation name=Unnamed] gradientImplementation=class=MarginalTransformationGradient evaluation=class=MarginalTransformationEvaluation description=[x0,x1,y0,y1] input marginals=[class=Normal name=Normal dimension=1 mean=class=NumericalPoint name=Unnamed dimension=1 values=[0] sigma=class=NumericalPoint name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1],class=Normal name=Normal dimension=1 mean=class=NumericalPoint name=Unnamed dimension=1 values=[0] sigma=class=NumericalPoint name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]] output marginals=[class=Uniform name=Uniform dimension=1 a=-1 b=2,class=Gamma name=Gamma dimension=1 k=2 lambda=2 gamma=0] simplifications=[0,0] expressions=[class=NumericalMathFunction name=Unnamed implementation=class=NumericalMathFunctionImplementation name=Unnamed description=[] evaluationImplementation=class=NoNumericalMathEvaluationImplementation name=Unnamed gradientImplementation=class=NoNumericalMathGradientImplementation name=Unnamed hessianImplementation=class=NoNumericalMathHessianImplementation name=Unnamed,class=NumericalMathFunction name=Unnamed implementation=class=NumericalMathFunctionImplementation name=Unnamed description=[] evaluationImplementation=class=NoNumericalMathEvaluationImplementation name=Unnamed gradientImplementation=class=NoNumericalMathGradientImplementation name=Unnamed hessianImplementation=class=NoNumericalMathHessianImplementation name=Unnamed] hessianImplementation=class=MarginalTransformationHessian evaluation=class=MarginalTransformationEvaluation description=[x0,x1,y0,y1] input marginals=[class=Normal name=Normal dimension=1 mean=class=NumericalPoint name=Unnamed dimension=1 values=[0] sigma=class=NumericalPoint name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1],class=Normal name=Normal dimension=1 mean=class=NumericalPoint name=Unnamed dimension=1 values=[0] sigma=class=NumericalPoint name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]] output marginals=[class=Uniform name=Uniform dimension=1 a=-1 b=2,class=Gamma name=Gamma dimension=1 k=2 lambda=2 gamma=0] simplifications=[0,0] expressions=[class=NumericalMathFunction name=Unnamed implementation=class=NumericalMathFunctionImplementation name=Unnamed description=[] evaluationImplementation=class=NoNumericalMathEvaluationImplementation name=Unnamed gradientImplementation=class=NoNumericalMathGradientImplementation name=Unnamed hessianImplementation=class=NoNumericalMathHessianImplementation name=Unnamed,class=NumericalMathFunction name=Unnamed implementation=class=NumericalMathFunctionImplementation name=Unnamed description=[] evaluationImplementation=class=NoNumericalMathEvaluationImplementation name=Unnamed gradientImplementation=class=NoNumericalMathGradientImplementation name=Unnamed hessianImplementation=class=NoNumericalMathHessianImplementation name=Unnamed] right function=class=NumericalMathFunctionImplementation name=Unnamed description=[x0,x1,y0,y1] evaluationImplementation=class=LinearNumericalMathEvaluationImplementation name=Unnamed center=class=NumericalPoint name=Unnamed dimension=2 values=[0,0] constant=class=NumericalPoint name=Unnamed dimension=2 values=[0,0] linear=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,0,0.5,0.866025] gradientImplementation=class=ConstantNumericalMathGradientImplementation name=Unnamed constant=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,0,0.5,0.866025] hessianImplementation=class=ConstantNumericalMathHessianImplementation name=Unnamed constant=class=SymmetricTensor implementation=class=TensorImplementation name=Unnamed rows=2 columns=2 sheets=2 values=[0,0,0,0,0,0,0,0]
transformed back sample first= class=NumericalPoint name=Unnamed dimension=2 values=[1.18542,0.431558]  last= class=NumericalPoint name=Unnamed dimension=2 values=[-0.0893062,0.97441]
transformed back sample mean= class=NumericalPoint name=Unnamed dimension=2 values=[0.502667,0.992171]
transformed back sample covariance= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[0.744767,0.273144,0.273144,0.489568]
point= class=NumericalPoint name=Unnamed dimension=2 values=[1,1]
transform value at point        = class=NumericalPoint name=Unnamed dimension=2 values=[0.430727,0.0259438]
transform gradient at point     = class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[0.916759,0,-0.529291,1.61181]
transform gradient at point (FD)= class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[0.916759,0,-0.529291,1.61181]
transform hessian at point      = class=SymmetricTensor implementation=class=TensorImplementation name=Unnamed rows=2 columns=2 sheets=2 values=[0.362,0,0,0,-0.209,0,0,-1.0767]
transform hessian at point (FD) = class=SymmetricTensor implementation=class=TensorImplementation name=Unnamed rows=2 columns=2 sheets=2 values=[0.362,0,0,0,-0.209,0,0,-1.0767]
inverse transform value at transformed point        = class=NumericalPoint name=Unnamed dimension=2 values=[1,1]
inverse transform gradient at transformed point     = class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1.0908,0,0.358201,0.620422]
inverse transform gradient at transformed point (FD)= class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1.0908,0,0.358201,0.620422]
inverse transform hessian at transformed point      = class=SymmetricTensor implementation=class=TensorImplementation name=Unnamed rows=2 columns=2 sheets=2 values=[-0.4698,0,0,0,0.0857,0.1485,0,0.2571]
inverse transform hessian at transformed point (FD) = class=SymmetricTensor implementation=class=TensorImplementation name=Unnamed rows=2 columns=2 sheets=2 values=[-0.4698,0,0,0,0.0857,0.1485,0,0.2571]
parameters gradient at point= class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=6 columns=2 values=[-0.305586,-0.611173,0,0,0,0,0.17643,0.352861,-0.875379,0.805903,-1.61181,0]
parameters gradient (FD)    = class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=5 columns=2 values=[-0.305586,-0.611173,0,0,0,0.17643,0.352861,-0.875379,0.805903,-1.61181]
(inverse) parameters gradient at point= class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=6 columns=2 values=[0.158655,0.841345,0,0,0,0,0,0,0.759487,-1.01973,1,0]
(inverse) parameters gradient (FD)    = class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=5 columns=2 values=[0.158655,0.841345,0,0,0,0,0,0.759487,-1.01973,1]