Efficiently finding conditional instruments for causal inference


Instrumental variables (IVs) are widely used to identify causal effects. For this purpose IVs have to be exogenous, i.e., causally unrelated to all variables in the model except the explanatory variable X. It can be hard to find such variables. A generalized IV method has been proposed that only requires exogeneity conditional on a set of covariates. This leads to a wider choice of potential IVs, but is rarely used yet. Here we address two issues with conditional IVs. First, they are conceptually rather distant to standard IVs; even variables that are independent of X could qualify as conditional IVs. We propose a new concept called ancestral IV, which interpolates between the two existing notions. Second, so far only exponential-time algorithms are known to find conditional IVs in a given causal diagram. Indeed, we prove that this problem is NP-hard. Nevertheless, we show that whenever a conditional IV exists, so does an ancestral IV, and ancestral IVs can be found in polynomial time. Together this implies a complete and constructive solution to causal effect identification using IVs in linear causal models.
Original languageEnglish
Title of host publicationProceedings of the 24th International Joint Conference on Artificial Intelligence
Number of pages7
Publisher AAAI Press
Publication date07.2015
ISBN (Print)9781577357384
Publication statusPublished - 07.2015
Event24th International Joint Conference on Artificial Intelligence - Buenos Aires, Argentina
Duration: 25.07.201531.07.2015
Conference number: 116754


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