arXiv AI By Cl\'ement Yvernes, Marianne Clausel, Emilie Devijver, Eric Gaussier

Causal Effect Identifiability in Causal Abstractions: A Strict Hierarchy of Criteria

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The paper investigates how to determine causal effects when only partial causal information is available, using collections of compatible causal graphs instead of a single fully specified graph. It introduces several formal notions of identifiability for these graph collections and arranges them into a strict hierarchy that clarifies their interrelations. The authors show that a causal effect can be identified across a set of graphs even when no single causal derivation applies uniformly to all of them, thereby exposing gaps and ambiguities in prior work.

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