Markov Properties for Mixed Graphical Models

Authored by: Marloes Maathuis , Mathias Drton , Steffen Lauritzen , Martin Wainwright

Handbook of Graphical Models

Print publication date:  November  2018
Online publication date:  November  2018

Print ISBN: 9781498788625
eBook ISBN: 9780429463976
Adobe ISBN:

10.1201/9780429463976-2

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Abstract

In the previous chapter we were introduced to two different types of graph, each having its own specific edge type: directed and undirected. Mixed graphs have more than one type of edge, which may be undirected, directed, bidirected ( ↔ ) or take some other form. In this chapter we consider models based on some of the more common varieties of these mixed graphs, specifically those introduced for two purposes: the unification of directed and undirected graphs; and models that are closed under marginalization.

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