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Create a causal graph using all training data and get the insights (this will be considered the ground truth)
Create new causal graphs using increasing fractions of the data and compare with the ground truth graph
The comparison can be done with a Jaccard Similarity Index, measuring the intersection and union of the graph edges
After reaching a stable causal graph, select only variables that point directly to the target variable
Train one model using all variables and another using only the variables selected by the graph
Measure how much each of the models overfit the hold-out set created in step 1.
The comparison can be done with a Jaccard Similarity Index, measuring the intersection and union of the graph edges