# Identification of Strong Edges in AMP Chain Graphs

arXiv: https://arxiv.org/abs/1711.09990 · HTML: https://mlsanity.com/paper/1711.09990/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Nov 2017.

## Built on by (most cited first, 1 of 1)

- [Identifiability of AMP chain graph models](https://mlsanity.com/paper/2106.09350/) (2021)

## Abstract (arXiv)

The essential graph is a distinguished member of a Markov equivalence class of AMP chain graphs. However, the directed edges in the essential graph are not necessarily strong or invariant, i.e. they may not be shared by every member of the equivalence class. Likewise for the undirected edges. In this paper, we develop a procedure for identifying which edges in an essential graph are strong. We also show how this makes it possible to bound some causal effects when the true chain graph is unknown.