Predict edges based on a hierarchical random graph model
predict_edges
uses a hierarchical random graph model to predict
missing edges from a network. This is done by sampling hierarchical models
around the optimum model, proportionally to their likelihood. The MCMC
sampling is stated from hrg
, if it is given and the start
argument is set to TRUE
. Otherwise a HRG is fitted to the graph
first.
predict_edges( graph, hrg = NULL, start = FALSE, num.samples = 10000, num.bins = 25 )
graph |
The graph to fit the model to. Edge directions are ignored in directed graphs. |
hrg |
A hierarchical random graph model, in the form of an
|
start |
Logical, whether to start the fitting/sampling from the
supplied |
num.samples |
Number of samples to use for consensus generation or missing edge prediction. |
num.bins |
Number of bins for the edge probabilities. Give a higher number for a more accurate prediction. |
A list with entries:
edges |
The predicted edges, in a two-column matrix of vertex ids. |
prob |
Probabilities of these edges, according to the fitted model. |
hrg |
The (supplied or fitted) hierarchical random graph model. |
A. Clauset, C. Moore, and M.E.J. Newman. Hierarchical structure and the prediction of missing links in networks. Nature 453, 98–101 (2008);
A. Clauset, C. Moore, and M.E.J. Newman. Structural Inference of Hierarchies in Networks. In E. M. Airoldi et al. (Eds.): ICML 2006 Ws, Lecture Notes in Computer Science 4503, 1–13. Springer-Verlag, Berlin Heidelberg (2007).
Other hierarchical random graph functions:
consensus_tree()
,
fit_hrg()
,
hrg-methods
,
hrg_tree()
,
hrg()
,
print.igraphHRGConsensus()
,
print.igraphHRG()
,
sample_hrg()
## We are not running these examples any more, because they ## take a long time (~15 seconds) to run and this is against the CRAN ## repository policy. Copy and paste them by hand to your R prompt if ## you want to run them. ## Not run: ## A graph with two dense groups g <- sample_gnp(10, p=1/2) + sample_gnp(10, p=1/2) hrg <- fit_hrg(g) hrg ## The consensus tree for it consensus_tree(g, hrg=hrg, start=TRUE) ## Prediction of missing edges g2 <- make_full_graph(4) + (make_full_graph(4) - path(1,2)) predict_edges(g2) ## End(Not run)
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