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spectralGraphTopology provides estimators to learn k-component, bipartite, and k-component bipartite graphs from data by imposing spectral constraints on the eigenvalues and eigenvectors of the Laplacian and adjacency matrices. Those estimators leverages spectral properties of the graphical models as a prior information, which turn out to play key roles in unsupervised machine learning tasks such as community detection.



From inside an R session, type:

> install.packages("spectralGraphTopology")

Alternatively, you can install the development version from GitHub:

> devtools::install_github("dppalomar/spectralGraphTopology")

Microsoft Windows

On MS Windows environments, make sure to install the most recent version of Rtools.


spectralGraphTopology depends on RcppArmadillo which requires gfortran.

Usage: clustering

We illustrate the usage of the package with simulated data, as follows:


# generate graph and data
n <- 50  # number of nodes per cluster
twomoon <- clusterSim::shapes.two.moon(n)  # generate datapoints
k <- 2  # number of components

# estimate underlying graph
S <- crossprod(t(twomoon$data))
graph <- learn_k_component_graph(S, k = k, beta = .5, verbose = FALSE, abstol = 1e-3)

# plot
# build network
net <- igraph::graph_from_adjacency_matrix(graph$Adjacency, mode = "undirected", weighted = TRUE)
# colorify nodes and edges
colors <- c("#706FD3", "#FF5252")
V(net)$cluster <- twomoon$clusters
E(net)$color <- apply(, 1,
                      function(x) ifelse(V(net)$cluster[x[1]] == V(net)$cluster[x[2]],
                                        colors[V(net)$cluster[x[1]]], '#000000'))
V(net)$color <- colors[twomoon$clusters]
# plot nodes
plot(net, layout = twomoon$data, vertex.label = NA, vertex.size = 3)


We welcome all sorts of contributions. Please feel free to open an issue to report a bug or discuss a feature request.


If you made use of this software please consider citing:

In case you made use of the function cluster_k_component_graph, consider citing:

Package: CRAN and GitHub.

README file: CRAN-readme and GitHub-readme.

Vignette: CRAN-html-vignette, CRAN-pdf-vignette, GitHub-html-vignette