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Causal Inference in the Presence of Latent Variables and Selection Bias

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We show that there is a general, informative and reliable procedure for discovering causal relations when, for all the investigator knows, both latent variables and selection bias may be at work. Given information about conditional independence and dependence relations between measured variables, even when latent variables and selection bias may be present, there are sufficient conditions for reliably concluding that there is a causal path from one variable to another, and sufficient conditions for reliably concluding when no such causal path exists.

Peter L. Spirtes, Christopher Meek, Thomas S. Richardson• 2013

Related benchmarks

TaskDatasetResultRank
Causal DiscoverySynthetic (n=100, |E|=400, sample size=1000)
mAP15.1
36
Causal DiscoverySynthetic n=1000, |E|=2000, sample size=1000
mAP32.9
32
Causal DiscoveryAlarm (d=37, |E|=46) medium-scale (test)
Precision100
20
Causal DiscoverySachs real data d=11
SHD27
10
Causal DiscoveryNonlinear structural equation model S4
FDR0.97
9
Causal DiscoveryScale-free (SF) model Scenario S5 p=50 n=1000 Degree=5 (test)
FDR97
9
Causal Structural LearningErdős-Rényi (ER) Model n=100 S4 (small)
FDR98
9
Causal Structural LearningErdős-Rényi (ER) Model n=1000 S4 (large)
FDR0.99
9
Causal Structural LearningErdős-Rényi (ER) Model n=1000 Scenario S5 (small)
FDR96
9
Causal Structural LearningErdős-Rényi (ER) Model n=3000 Scenario S5 (large)
FDR0.97
9
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