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While probabilistic models are an important tool for studying causality, doing so suffers from the intractability of inference. As a step towards tractable causal models, we consider the problem of learning interventional distributions using sum-product networks (SPNs) that are over-parameterized by gate functions, e.g., neural networks. Providing an arbitrarily intervened causal graph as input, effectively subsuming Pearl's do-operator, the gate function predicts the parameters of the SPN. The resulting interventional SPNs are motivated and illustrated by a structural causal model themed around personal health. Our empirical evaluation against competing methods from both generative and causal modelling demonstrates that interventional SPNs indeed are both expressive and causally adequate.
Author Information
Matej Zečević (TU Darmstadt)
##### You can check out my personal website, with cool articles (also non-scientific!): [www.matej-zecevic.de](https://www.matej-zecevic.de)
Devendra Dhami (CS Department, TU Darmstadt, TU Darmstadt)
Athresh Karanam (University of Texas, Dallas)
Sriraam Natarajan (Indiana University)
Kristian Kersting (TU Darmstadt)
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