nemBM {nemBM}

Network evolution model with a prespecified blockmodel type and partition

Description

Generates an asymmetric network with a selected blockmodel type and partition. Considers local network mechanisms when creating links within blocks. Does not enable considering incomers and outgoers.

Usage

nemBM(X = X, partition, M, formula, theta, k = 10000, loops = FALSE)

Arguments

X

Initial binary network; of class matrix.

partition

A desired partition in a vector format. Each unique value (positive integers) represents one cluster.

M

Desired image matrix with block densities.

formula

The list of local netork mechanisms to be considered.

theta

A vector with the mechanisms' weights/strengths.

k

The number of iterations.

loops

Wheter loops are allowed or not (default FALSE).

Value

The list with the following elements:

• initialNetwork - Initial network; of class matrix.

• finalNetwork - Final (generated) network; of class matrix.

• formula - The list of functions that define mechanisms used.

• theta - A vector with the mechanisms' weights/strengths used.

• ERR - Sum of squared differences between the desired and empirical densities across blocks; for each iteration.

• iterations - The number of iterations.

• loops - Wheter loops were allowed.

• M - The desired (specified) image matrix.

• partition - The partition.

• density - Network density at each iteration.

• timeElapsed - Running time.

Author(s)

Marjan Cugmas and Aleš Žiberna

References

Cugmas, M., & Žiberna, A. (2022). Approaches to blockmodeling dynamic networks: a Monte Carlo simulation study. Social Networks, in print.

Examples

formula <- list(mutuality, popularity, OTPtransitivity)
X <- matrix(sample(c(0,1), size = 9**2, replace = TRUE), nrow = 9)
diag(X) <- 0
M <- matrix(c(0.1, 0.8, 0.1, 0.5), nrow = 2)
partition <- c(1, 2, 2, 1, 1, 2, 2, 2, 1)
res <- nemBM(X = X, partition = partition, formula = formula, 
theta = c(1, 1, 1), M = M, k = 100, loops = FALSE)