A Intervention stable sets plausible causal predictors and informative interventions

A.1 Intervention stable sets A set of predictors S is an intervention stable set if it d-separates the response from all interventions, i.e. if the d-separation statement I An example follows: Example A.1. A.2 Stable sets vs. plausible causal predictors While S Example A.2. Take the following SCM, In the example, this only happens when we set the weights, means and variances to very particular values. However, it is not a necessary condition, as is shown in the following example. To the best of our knowledge it is not clear when situations like the above arise, or how they can be detected from the accepted sets. Therefore, as a first approach we consider direct interventions on the parents as "maximally informative", and the goal of the proposed policies is to pick such interventions. Here we present a slightly adapted version of Invariant Causal Prediction [27].