convertGraph: Convert graphs into adjacency matrices

In GGMselect: Gaussian Graphs Models Selection

Convert graphs into adjacency matrices

Description

Convert into adjacency matrices NG graphs (expressed as lists of connected nodes)

Usage

convertGraph(Graph)

Arguments

Graph

array of dimension p x Dmax x NG, where Dmax is the degree of the graph and NG the number of graphs. If NG is equal to 1, Graph can be a matrix of dimension p x Dmax. Graph[a,,iG] should be the indices of the nodes connected to the node a, for the graph iG; Graph[a,1,iG] should be equal to 0 if there is no node connected to the node a.

Value

An array of dimension p x p x NG, or, when NG is equal to 1, a matrix of dimension p x p.

The entry [,,iG] is a symmetric matrix, with diagonal equal to zero. The entry [a,b,iG] is equal to 1 if a is connected to b, 0 otherwise.

Note

This function is useful to generate the entry MyFamily of the function selectMyFam. Actually, the list of adjacency matrices MyFamily can be generated from lists of connected nodes with convertGraph.

Author(s)

Bouvier A, Giraud C, Huet S, Verzelen N

References

Please use citation("GGMselect")

See Also

selectQE, selectMyFam, selectFast, simulateGraph, penalty

Examples

p=30
n=30
# simulate graph
eta=0.11
Gr <- simulateGraph(p,eta)
X <- rmvnorm(n, mean=rep(0,p), sigma=Gr$C)
# estimate graph
GRest <- selectFast(X, family="C01")
# Neighb and G are 2 forms of the same result
a <- convertGraph(GRest$C01$Neighb)
print(all.equal(a, GRest$C01$G)) # TRUE
# recalculate the graph with selectMyFam
GMF <- selectMyFam(X, list(a))
print(all.equal(a,GMF$G)) # TRUE

GGMselect documentation built on April 3, 2025, 9:01 p.m.