Compute the dissimilarity between 2 mesoscale structures

Compute the dissimilarity between 2 mesoscale structures

Usage

dist_bmpop_max(
  pi,
  alpha,
  delta = c(1, 1),
  weight = "max",
  norm = "L2",
  directed
)

Arguments

pi

A list of two probability vectors

alpha

A list of two connectivity matrices

delta

A vector of 2 density parameters (optional)

weight

One of "max" (default) or "mean". See details

norm

"L1"or "L2" norm for the computation

directed

Are the structure of the networks directed?

Value

The dissimilarity between two mesoscale structure.

Details

If weight is "max" then the weight of each block is computed as pmax(pi[[1]], pi[[2]]). If "mean", then we take the average. "max" penalize to a greater extent the difference in block proportion between structure.

Examples

pi <- list(c(0.5, 0.5), c(0.1, 0.9))
alpha <- list(
  matrix(c(
    0.9, 0.1,
    0.1, 0.05
  ), byrow = TRUE, nrow = 2),
  matrix(c(
    0.9, 0.1,
    0.1, 0.05
  ), byrow = TRUE, nrow = 2)
)
dist_bmpop_max(pi, alpha)
#> [1] 0