GraphicalModels : Index

• bidirectedEdgesMatrix -- the matrix corresponding to the bidirected edges of a mixed graph
• bidirectedEdgesMatrix(Ring,MixedGraph) -- the matrix corresponding to the bidirected edges of a mixed graph
• Coefficients -- Optional input to choose the base field.
• covarianceMatrix -- the covariance matrix of a gaussian graphical model
• covarianceMatrix(Ring) -- the covariance matrix of a gaussian graphical model
• covarianceMatrix(Ring,Digraph) -- the covariance matrix of a gaussian graphical model
• covarianceMatrix(Ring,MixedGraph) -- the covariance matrix of a gaussian graphical model
• directedEdgesMatrix -- the matrix corresponding to the directed edges of a mixed graph
• directedEdgesMatrix(Ring,MixedGraph) -- the matrix corresponding to the directed edges of a mixed graph
• gaussianIdeal -- correlation ideal of a Bayesian network of joint Gaussian variables
• gaussianIdeal(Ring,Digraph) -- correlation ideal of a Bayesian network of joint Gaussian variables
• gaussianIdeal(Ring,Digraph,List) -- correlation ideal of a Bayesian network of joint Gaussian variables
• gaussianMatrices -- Matrices whose minors form the ideal corresponding to a conditional independence statements.
• gaussianMatrices(Ring,Digraph) -- Matrices whose minors form the ideal corresponding to a conditional independence statements.
• gaussianMatrices(Ring,Digraph,List) -- Matrices whose minors form the ideal corresponding to a conditional independence statements.
• gaussianParametrization -- the parametrization of the covariance matrix in terms of treks
• gaussianParametrization(..., SimpleTreks => ...) -- the parametrization of the covariance matrix in terms of treks
• gaussianParametrization(Ring,MixedGraph) -- the parametrization of the covariance matrix in terms of treks
• gaussianRing -- ring of gaussian correlations on n random variables
• gaussianRing(..., Coefficients => ...) -- ring of gaussian correlations on n random variables
• gaussianRing(..., VariableName => ...) -- ring of gaussian correlations on n random variables
• gaussianRing(Digraph) -- ring of gaussian correlations on n random variables
• gaussianRing(MixedGraph) -- ring of gaussian correlations on n random variables
• gaussianRing(ZZ) -- ring of gaussian correlations on n random variables
• globalMarkov -- Global Markov statements for a directed graph.
• globalMarkov(Digraph) -- Global Markov statements for a directed graph.
• GraphicalModels -- A package for discrete and Gaussian statistical graphical models
• hiddenMap -- Creates a linear map from a ring of probability distributions among observed discrete random variables into a ring of probability distributions among observed variables and one hidden variable specified by the integer input.
• hiddenMap(ZZ,Ring) -- Creates a linear map from a ring of probability distributions among observed discrete random variables into a ring of probability distributions among observed variables and one hidden variable specified by the integer input.
• identifyParameters -- solving the identifiability problem: expressing each parameter in terms of covariances
• identifyParameters(Ring,MixedGraph) -- solving the identifiability problem: expressing each parameter in terms of covariances
• localMarkov -- Local Markov statements for a directed graph.
• localMarkov(Digraph) -- Local Markov statements for a directed graph.
• marginMap -- Generates a linear map on joint probabilities for discrete variables that replaces marginals for indeterminates.
• marginMap(ZZ,Ring) -- Generates a linear map on joint probabilities for discrete variables that replaces marginals for indeterminates.
• markovIdeal -- Ideal of constraints associated to a list of independent statements among discrete random variables.
• markovIdeal(Ring,Digraph,List) -- Ideal of constraints associated to a list of independent statements among discrete random variables.
• markovMatrices -- The matrices whose minors form the ideal associated to the list of independence statements of the graph.
• markovMatrices(Ring,Digraph,List) -- The matrices whose minors form the ideal associated to the list of independence statements of the graph.
• markovRing -- Ring of probability distributions on several discrete random variables.
• markovRing(..., Coefficients => ...) -- Ring of probability distributions on several discrete random variables.
• markovRing(..., VariableName => ...) -- Ring of probability distributions on several discrete random variables.
• markovRing(Sequence) -- Ring of probability distributions on several discrete random variables.
• pairMarkov -- Pairwise Markov statements for a directed graph.
• pairMarkov(Digraph) -- Pairwise Markov statements for a directed graph.
• SimpleTreks -- optional input to choose the type of parametrization in @TO gaussianParametrization@
• trekIdeal -- the edge elimination ideal of a directed graph, or the trek separation ideal of a mixed graph
• trekIdeal(Ring,Digraph) -- the edge elimination ideal of a directed graph, or the trek separation ideal of a mixed graph
• trekIdeal(Ring,MixedGraph) -- the edge elimination ideal of a directed graph, or the trek separation ideal of a mixed graph
• trekIdeal(Ring,MixedGraph,List) -- the edge elimination ideal of a directed graph, or the trek separation ideal of a mixed graph
• trekSeparation -- the trek separation statements of a mixed graph
• trekSeparation(MixedGraph) -- the trek separation statements of a mixed graph
• VariableName -- Optional input to choose the letter for the variable name.