expSBM_ELBO {expSBM}

expSBM_ELBO

Description

Evaluates the evidence lower bound for a given dynamic network.

Usage

expSBM_ELBO(N, edgelist, Z, lambda, mu, nu, directed = F, trunc = T, verbose = F)

Arguments

N

Number of nodes.

edgelist

A matrix with 4 columns: on the first column the sender node, on the second the receiver, on the third either a one or zero to indicate whether it is an interaction or a non-interaction respectively, on the fourth the corresponding exponential length.

Z

A NxK matrix indicating a soft clustering of the nodes into the K latent groups. The generic entry in position [i,k] represents the posterior probability that node i belongs to group k.

lambda

Mixing proportions of the latent groups.

mu

A matrix of size KxK indicating the exponential rates for the interaction lengths, for each pair of groups. Must be a symmetric matrix if directed is false.

nu

A matrix of size KxK indicating the exponential rates for the non-interaction lengths, for each pair of groups. Must be a symmetric matrix if directed is false.

directed

TRUE or FALSE indicating whether interactions have an orientation or not.

trunc

TRUE or FALSE indicating whether the first and last interactions or non-interactions for every edge are assumed to be truncated or not.

verbose

TRUE or FALSE indicating whether a lengthy output should be printed out.

Value

computing_time

Number of seconds required for the evaluation.

elbo_value

Value of the evidence lower bound for the given variational parameters.