Unveiling the Structure of Do-Calculus Reasoning via Derivation Graphs
The paper introduces derivation graphs to enhance the understanding of do-calculus reasoning. These graphs help in representing the application and combination of do-calculus rules, simplifying the inference process. The authors also demonstrate how identification algorithms can yield multiple valid estimands for causal quantities, leading to more efficient estimators.
- ▪Derivation graphs represent how do-calculus rules are applied and combined.
- ▪The structure of these graphs allows for a simple procedure using at most four applications of do-calculus rules.
- ▪Applying identification algorithms to equivalent causal queries produces multiple valid estimands for the same causal quantity.
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Computer Science > Artificial Intelligence arXiv:2606.03719 (cs) [Submitted on 2 Jun 2026] Title:Unveiling the Structure of Do-Calculus Reasoning via Derivation Graphs Authors:Clément Yvernes, Emilie Devijver, Marianne Clausel, Eric Gaussier View a PDF of the paper titled Unveiling the Structure of Do-Calculus Reasoning via Derivation Graphs, by Cl\'ement Yvernes and 3 other authors View PDF Abstract:The do-calculus defines a general system of inference for interventional queries, allowing causal quantities to be transformed through successive applications of its rules. This process induces a rich space of equivalent interventional expressions, but combining and ordering these rules remains challenging.
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