NetworkDistance (version 0.3.6)

nd.graphon: Graphon Estimates Distance

Description

Graphon is a symmetric measurable function $$W:[0,1]^2\rightarrow[0,1]$$ that is considered to be a generating model for an observed network. nd.graphon computes distances between networks based on the estimated graphons of each network. Estimation methods are taken from graphon package. For more details, see the function links below.

Usage

nd.graphon(
  A,
  out.dist = TRUE,
  method = c("completion", "LG", "nbdsmooth", "SBA", "USVT"),
  ...
)

Value

a named list containing

D

an \((N\times N)\) matrix or dist object containing pairwise distance measures.

Arguments

A

a list of length \(N\) containing \((M\times M)\) adjacency matrices.

out.dist

a logical; TRUE for computed distance matrix as a dist object.

method

type of graphon estimation methods to be used.

...

extra parameters to be passed onto graphon estimation functions. See also est.completion, est.LG, est.nbdsmooth, est.SBA, and est.USVT for details.

References

mukherjee_clustering_2017NetworkDistance

Examples

## load example data
data(graph20)

## compute USVT-based distance
output <- nd.graphon(graph20, out.dist=FALSE, method="usvt")

## visualize
opar = par(no.readonly=TRUE)
par(pty="s")
image(output$D[,20:1], main="USVT", col=gray(0:32/32), axes=FALSE)
par(opar)