A Semi-Analytical Inference Framework for Structural Causal Models
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The paper introduces a semi‑analytical inference framework for Structural Causal Models (SCMs) that performs message passing directly on the SCM using a common finite‑dimensional function space. It represents structural mechanisms and probability densities with tensor‑product B‑spline bases, enabling forward propagation via a numerical Law of the Unconscious Statistician and backward conditioning through spline projection. Experiments on randomly generated continuous SCMs show that the method accurately approximates Monte Carlo solutions and improves with higher basis resolution.
DeDiCa is a scalable framework for causal inference with discrete variables and hidden confounding. It uses a tensorized parameterization of causal Bayesian networks, allowing efficient maximum‑likelihood training on observational data while exactly marginalizing over hidden confounders. The model can estimate any (proxy‑)identifiable interventional query with CPU‑efficient training and millisecond‑scale inference, matching state‑of‑the‑art neural generative models in ATE estimation while requiring less memory and time.
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arXiv:2606. 19594v1 Announce Type: new Abstract: Causal abstractions formalize when a high-level structural causal model (SCM) captures the interventional behavior of a lower-level SCM.