Supplement to - A Bayesian Approach to Constraint Based Causal Inference
Tom Claassen · Radboud Repository (Radboud University) · 2012
This article contains additional results and proofs related to §3.3 'Unfaithful inference: DAGs vs. MAGs' in the UAI-2012 submission 'A Bayesian Approach to Constraint Based Causal Inference'.This final version after feedback includes detailed proofs for Lemma 3/4, and added inference rules for indirect dependence in §2.The discussion of causal inference from optimal uDAGs in section three has been extended, at the expense of the result for theoretical completeness in the large sample limit which will now appear in a separate paper on inference from uDAGs.This supplement has three main parts: section one defines causal-and graphical model terminology used throughout the supplement.Section two describes readingin/dependencies from uDAGs; it extends results in (Bouckaert, 1995) through the added assumption of an underlying faithful MAG.The third section focuses on the mapping from optimal uDAGs to logical causal statements as used in the BCCD algorithm.The supplement follows the numbering in the main submission.