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GraphicalModels : Table of Contents
GraphicalModels
-- a package for discrete and Gaussian statistical graphical models
bidirectedEdgesMatrix
-- the matrix corresponding to the bidirected edges of a mixed graph
Coefficients
-- optional input to choose the base field
conditionalIndependenceIdeal
-- the ideal of a list of conditional independent statements
covarianceMatrix
-- the covariance matrix of a Gaussian graphical model
directedEdgesMatrix
-- the matrix corresponding to the directed edges of a mixed graph
discreteVanishingIdeal
-- the vanishing ideal of a discrete graphical model
gaussianMatrices
-- matrices whose minors generate the Gaussian conditional independence ideal
gaussianParametrization
-- the parametrization of the covariance matrix in terms of treks
gaussianParametrization(..., SimpleTreks => ...)
-- optional input for gaussianParametrization
gaussianRing
-- ring of Gaussian correlations on n random variables
gaussianRing(..., kVariableName => ...)
-- symbol used for indeterminates in a ring of Gaussian joint probability distributions
gaussianRing(..., lVariableName => ...)
-- symbol used for indeterminates in a ring of Gaussian joint probability distributions
gaussianRing(..., pVariableName => ...)
-- symbol used for indeterminates in a ring of Gaussian joint probability distributions
gaussianRing(..., sVariableName => ...)
-- symbol used for indeterminates in a ring of Gaussian joint probability distributions
gaussianVanishingIdeal
-- the vanishing ideal of a Gaussian graphical model
globalMarkov
-- global Markov statements for a graph or a directed graph
hiddenMap
-- linear map between the ring of a model with one hidden variable and the ring of the corresponding fully observed model
identifyParameters
-- solve the identifiability problem for Gaussian graphical models
inverseMarginMap
-- computes the inverse of the marginMap
kVariableName
-- optional input to choose variable name for concentration matrix in gaussianRing
localMarkov
-- local Markov statements for a graph or a directed graph
lVariableName
-- optional input to choose the variable name for the regression matrix
marginMap
-- generates a linear map on joint distributions for discrete random variables replacing marginals for indeterminates
markovMatrices
-- the matrices whose minors form the ideal of a list of independence statements
markovRing
-- ring of joint probability distributions on several discrete random variables
markovRing(..., Coefficients => ...)
-- optional input to choose the base field in markovRing or gaussianRing
markovRing(..., VariableName => ...)
-- symbol used for indeterminates in a ring of discrete joint probability distributions
pairMarkov
-- pairwise Markov statements for a graph or a directed graph
pVariableName
-- optional input to choose the variable name for the error covariance matrix
SimpleTreks
-- optional input for gaussianParametrization
sVariableName
-- optional input to choose the variable for the covariance matrix
trekIdeal
-- the trek separation ideal of a mixed graph
trekSeparation
-- the trek separation statements of a mixed graph
undirectedEdgesMatrix
-- the matrix corresponding to the edges of an undirected graph
VariableName
-- optional input to choose indeterminate name in markovRing