Introduction to Causal Graphical Models: Graphs, d-separation, do-calculus
summary
Proves soundness proof by transforming G into a sequence G0…GK: complete ancestor subgraphs, flip edges, and argue each step preserves d-separation with respect to a fixed conditioning set Z; final GK has Z upwards-closed and all common ancestors of X and Y inside Z, so P(X,Y|Z)=P(X|Z)P(Y|Z). Skips completeness proof. Introduces augmented graph with intervention switches Ẑ (value ε = no‑intervention) to restate the do-calculus rules as ordinary d-separation statements.
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chapters (6)
- 0:00Start
- 4:22Sequence of Graphs
- 42:41Second Rule
- 43:09Augmented Graph
- 43:58Augmented Causal Model
- 51:33Conditional Probability
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