diff --git a/assets/img/Imap_Pmap_diagram.png b/assets/img/Imap_Pmap_diagram.png new file mode 100644 index 00000000..5e9048f4 Binary files /dev/null and b/assets/img/Imap_Pmap_diagram.png differ diff --git a/representation/directed/index.md b/representation/directed/index.md index 74e366eb..3f1efb57 100644 --- a/representation/directed/index.md +++ b/representation/directed/index.md @@ -122,6 +122,10 @@ The cascade-type structures (a,b) are clearly symmetric and the directionality o Again, it is easy to understand intuitively why this is true. Two graphs are $$I$$-equivalent if the $$d$$-separation between variables is the same. We can flip the directionality of any edge, unless it forms a v-structure, and the $$d$$-connectivity of the graph will be unchanged. We refer the reader to the textbook of Koller and Friedman for a full proof in Theorem 3.7 (page 77). +The below diagram illustrates the relationships between distributions, $$I$$-maps, and perfect maps. + +![I-map and P-map diagram](../../assets/img/Imap_Pmap_diagram.png) +
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