A new research paper introduces results for bounding the value of a functional of the target distribution, such as the generalization error of a classifier, given data from source domains and assumptions about the data generating mechanisms.
The paper builds on the theory of partial identification and transportability to provide the first general estimation technique for transportability problems.
The authors adapt existing parameterization schemes, such as Neural Causal Models, to encode the necessary structural constraints for cross-population inference.
The paper also proposes a gradient-based optimization scheme to make scalable inferences in practice, and the results are supported by experiments.