Introduction to Experimental Design
summary
Shows that with no observational data identifying any P‑node DAG needs floor(log2 P)+1 unbounded interventions, while with observational data the count depends on the interventional essential graph’s clique number ω and can be achieved by binary‑coding an optimal coloring (and p−1 suffices for single‑node interventions). Single‑node objective (expected oriented edges) is submodular, monotone, so greedy gives a 1−1/e approximation; uniform sampling from a Markov equivalence class is now polynomial time, enabling Monte‑Carlo estimates.
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chapters (6)
- 0:00Intervention bounds
- 2:25Induction proof
- 6:50Observational setting
- 16:26Identification strategies
- 26:06Budget-based optimization
- 44:50Q&A and final remarks
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