get_DAG {ISS}

get_DAG

Description

This function is used to construct the induced DAG, induced polyforest and reverse topological orderings thereof from a numeric matrix X0. See Definition 2 in Müller et al. (2023).

Usage

get_DAG(X0, sparse = FALSE, twoway = FALSE)

Arguments

X0

a numeric matrix.

sparse

logical. Either the induced DAG (FALSE) or the induced polyforest (TRUE) is constructed.

twoway

logical. If FALSE, only leaves, parents, ancestors and reverse topological ordering are returned. If TRUE, then roots, children and descendants are also provided.

Value

A list with named elements giving the leaves, parents, ancestors and reverse topological ordering and additionally, if twoway == TRUE, the roots, children and descendants, of the constructed graph.

References

Müller MM, Reeve HWJ, Cannings TI, Samworth RJ (2023). “Isotonic subgroup selection.” arXiv preprint arXiv:2305.04852.

Examples

X <- rbind(
  c(0.2, 0.8), c(0.2, 0.8), c(0.1, 0.7),
  c(0.2, 0.1), c(0.3, 0.5), c(0.3, 0)
)
get_DAG(X0 = X)
get_DAG(X0 = X, sparse = TRUE, twoway = TRUE)