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Latent Subgraph Criterion

This repository contains an implementation of the latent subgraph criterion in R. It builds on the SEMID library available on CRAN. The function checkID(g) checks the latent subgraph criterion by solving integer linear programs. Here, g is a LatentDigraph object representing a graph, for more details see the SEMIDdocumentation.

> # Latent digraphs are specified by their directed adjacency matrix L
> library(SEMID)
> L = matrix(c(0, 0, 0, 0, 0, 1, 0, 0,
+              0, 0, 0, 0, 0, 0, 0, 0,
+              0, 0, 0, 0, 0, 0, 0, 0,
+              0, 0, 0, 0, 0, 0, 0, 0,
+              0, 0, 0, 0, 0, 0, 0, 0,
+              0, 0, 1, 1, 0, 0, 0, 0,
+              1, 1, 0, 0, 0, 0, 0, 1,
+              0, 1, 1, 1, 1, 0, 0, 0), 8, 8, byrow=TRUE)
> observedNodes = seq(5)
> latentNodes = c(6,7,8)
>
> # Create the latent digraph object corresponding to L
> g = LatentDigraph(L, observedNodes, latentNodes)
>
> # Plot latent digraph
> plot(g)
>
> # Check the latent subgraph criterion
> res <- checkID(g)
> res$id

To reproduce the experimental results in the paper, run:

Rscript experiments/random-exps.R
Rscript experiments/compute-stats.R

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