updatez: Update step for the latent locations.

In MEclustnet: Fit the Mixture of Experts Latent Position Cluster Model to Network Data

Description

A Metropolis-Hastings update step for the latent locations.

Usage

updatez(n, z, x.link, delta, beta, y, mu, K, sigma2, Id, pis, iter, uphill,
  countz, delete, d, n.tilde)

Arguments

n	The number of nodes.
z	The n x d matrix of latent locations.
x.link	Matrix, with n^2 - n rows and the same number of columns as covariates (including the intercept), giving the differences in covariates for all pairs of nodes.
delta	Vector of Euclidean distances between locations in the latent space of all pairs of nodes.
beta	Vector of regression coefficients in the link probabilities.
y	Vector version of the adjacency matrix, with the diagonal removed.
mu	The G x d matrix of cluster means.
K	The cluster membership vector
sigma2	The covariance of each cluster.
Id	A d dimensional identity matrix.
pis	A vector of length n^2 - n providing the link probabilities between all pairs of nodes.
iter	Iteration number.
uphill	Number of iterations for which uphill only steps in the MCMC chain should be run.
countz	Counter for number of steps for which the proposed z value was accepted.
delete	Index of the terms to be deleted in order to delete the diagonal terms from the vector version of the adjacency matrix.
d	The dimension of the latent space.
n.tilde	Length of the vector version of the adjacency matrix, with the diagonal removed i.e. n^2 - n.

Value

A list:

z

The returned matrix of latent locations.

delta

Vector of Euclidean distances between locations in the latent space of all pairs of nodes.

pis

A vector of length n^2 - n providing the link probabilities between all pairs of nodes.

countz

Counter for z acceptance rate.

References

Isobel Claire Gormley and Thomas Brendan Murphy. (2010) A Mixture of Experts Latent Position Cluster Model for Social Network Data. Statistical Methodology, 7 (3), pp.385-405.

See Also

MEclustnet

MEclustnet documentation built on Oct. 10, 2019, 5:04 p.m.