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GraphicalModelsMLE : Index
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checkPD
-- returns positive definite matrices from a list of symmetric matrices
checkPD(...,ZeroTolerance=>...)
-- optional input to set the largest absolute value that should be treated as zero
checkPD(List)
-- returns positive definite matrices from a list of symmetric matrices
checkPD(Matrix)
-- returns positive definite matrices from a list of symmetric matrices
checkPSD
-- returns positive semidefinite matrices from a list of symmetric matrices
checkPSD(...,ZeroTolerance=>...)
-- optional input to set the largest absolute value that should be treated as zero
checkPSD(List)
-- returns positive semidefinite matrices from a list of symmetric matrices
checkPSD(Matrix)
-- returns positive semidefinite matrices from a list of symmetric matrices
ConcentrationMatrix
-- optional input to output MLE for concentration matrix instead of MLE for covariance matrix
CovarianceMatrix
-- optional input to output covariance matrix
GraphicalModelsMLE
-- a package for MLE of parameters for Gaussian graphical models
jacobianMatrixOfRationalFunction
-- Jacobian matrix of a rational function
jacobianMatrixOfRationalFunction(RingElement)
-- Jacobian matrix of a rational function
MLdegree
-- ML-degree of a graphical model
MLdegree(Ring)
-- ML-degree of a graphical model
OptionsEigenSolver
-- optional input to use options of "zeroDimSolve" in "EigenSolver"
OptionsNAG4M2
-- optional parameter to set the parameters of solveSystem in NumericalAlgebraicGeometry
RealPrecision
-- optional input to choose the number of decimals used to round to QQ when inputing data in RR
sampleCovarianceMatrix
-- sample covariance matrix of observation vectors
sampleCovarianceMatrix(List)
-- sample covariance matrix of observation vectors
sampleCovarianceMatrix(Matrix)
-- sample covariance matrix of observation vectors
SampleData
-- optional input to allow to input the sample covariance matrix instead of sample data
Saturate
-- optional input whether to saturate
SaturateOptions
-- optional input to use options "saturate"
scoreEquations
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(...,CovarianceMatrix=>...)
-- output covariance matrix
scoreEquations(...,RealPrecision=>...)
-- the number of bits of precision to use in the computation
scoreEquations(...,SampleData=>...)
-- input sample covariance matrix instead of sample data
scoreEquations(...,Saturate=>...)
-- whether to saturate
scoreEquations(...,SaturateOptions=>...)
-- use options from "saturate"
scoreEquations(Bigraph,Digraph,Graph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Bigraph,Digraph,Graph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Bigraph,Digraph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Bigraph,Digraph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Bigraph,Graph,Digraph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Bigraph,Graph,Digraph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Bigraph,Graph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Bigraph,Graph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Bigraph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Bigraph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Digraph,Bigraph,Graph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Digraph,Bigraph,Graph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Digraph,Bigraph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Digraph,Bigraph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Digraph,Graph,Bigraph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Digraph,Graph,Bigraph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Digraph,Graph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Digraph,Graph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Digraph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Digraph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Graph,Bigraph,Digraph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Graph,Bigraph,Digraph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Graph,Bigraph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Graph,Bigraph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Graph,Digraph,Bigraph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Graph,Digraph,Bigraph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Graph,Digraph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Graph,Digraph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Graph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Graph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Bigraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Bigraph,Digraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Bigraph,Digraph,Graph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Bigraph,Graph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Bigraph,Graph,Digraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Digraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Digraph,Bigraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Digraph,Bigraph,Graph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Digraph,Graph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Digraph,Graph,Bigraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Graph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Graph,Bigraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Graph,Bigraph,Digraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Graph,Digraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Graph,Digraph,Bigraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,MixedGraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(List,Ring)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Bigraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Bigraph,Digraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Bigraph,Digraph,Graph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Bigraph,Graph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Bigraph,Graph,Digraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Digraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Digraph,Bigraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Digraph,Bigraph,Graph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Digraph,Graph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Digraph,Graph,Bigraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Graph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Graph,Bigraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Graph,Bigraph,Digraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Graph,Digraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Graph,Digraph,Bigraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,MixedGraph)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Matrix,Ring)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(MixedGraph,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(MixedGraph,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Ring,List)
-- score equations of the log-likelihood function of a Gaussian graphical model
scoreEquations(Ring,Matrix)
-- score equations of the log-likelihood function of a Gaussian graphical model
Solver
-- optional input to choose numerical solver
solverMLE
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(...,ConcentrationMatrix=>...)
-- output MLE for concentration matrix instead of MLE for covariance matrix
solverMLE(...,OptionsEigenSolver=>...)
-- use options of "zeroDimSolve" in "EigenSolver"
solverMLE(...,OptionsNAG4M2=>...)
-- use options of "solveSystem" in "NumericalAlgebraicGeometry"
solverMLE(...,RealPrecision=>...)
-- the number of bits of precision to use in the computation
solverMLE(...,SampleData=>...)
-- input sample covariance matrix instead of sample data
solverMLE(...,Saturate=>...)
-- whether to saturate
solverMLE(...,SaturateOptions=>...)
-- use options from "saturate"
solverMLE(...,Solver=>...)
-- choose numerical solver
solverMLE(...,ZeroTolerance=>...)
-- optional input to set the largest absolute value that should be treated as zero
solverMLE(Bigraph,Digraph,Graph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Bigraph,Digraph,Graph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Bigraph,Digraph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Bigraph,Digraph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Bigraph,Graph,Digraph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Bigraph,Graph,Digraph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Bigraph,Graph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Bigraph,Graph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Bigraph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Bigraph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Digraph,Bigraph,Graph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Digraph,Bigraph,Graph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Digraph,Bigraph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Digraph,Bigraph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Digraph,Graph,Bigraph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Digraph,Graph,Bigraph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Digraph,Graph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Digraph,Graph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Digraph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Digraph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Graph,Bigraph,Digraph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Graph,Bigraph,Digraph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Graph,Bigraph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Graph,Bigraph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Graph,Digraph,Bigraph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Graph,Digraph,Bigraph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Graph,Digraph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Graph,Digraph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Graph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Graph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Bigraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Bigraph,Digraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Bigraph,Digraph,Graph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Bigraph,Graph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Bigraph,Graph,Digraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Digraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Digraph,Bigraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Digraph,Bigraph,Graph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Digraph,Graph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Digraph,Graph,Bigraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Graph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Graph,Bigraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Graph,Bigraph,Digraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Graph,Digraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Graph,Digraph,Bigraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,MixedGraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(List,Ring)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Bigraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Bigraph,Digraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Bigraph,Digraph,Graph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Bigraph,Graph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Bigraph,Graph,Digraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Digraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Digraph,Bigraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Digraph,Bigraph,Graph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Digraph,Graph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Digraph,Graph,Bigraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Graph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Graph,Bigraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Graph,Bigraph,Digraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Graph,Digraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Graph,Digraph,Bigraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,MixedGraph)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Matrix,Ring)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(MixedGraph,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(MixedGraph,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Ring,List)
-- Maximum likelihood estimate of a loopless mixed graph
solverMLE(Ring,Matrix)
-- Maximum likelihood estimate of a loopless mixed graph
ZeroTolerance
-- optional input to set the largest absolute value that should be treated as zero