Introduction to Causal Graphical Models: Graphs, d-separation, do-calculus
summary
Proves that the three do-calculus rules suffice for deciding identifiability by using an augmented graph lemma that translates d‑separation with intervention variables into ordinary d‑separation, and derives rule two and rule three from it; presents the Schnitzer–Pearl ID algorithm that either outputs a symbolic formula or a hedge witness of non‑identifiability, uses C‑component decomposition and Y‑rooted C‑forests, and constructs explicit binary mod‑2 counterexamples (same observables, different do(X) outcomes) to show when identification fails.
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chapters (6)
- 0:00Start
- 0:32Augmented Graph Construction
- 1:38Prove Rule 2
- 22:50Rule Three
- 48:59Obstruction to Identifiability
- 1:01:27The Non-Identifiability Proof
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