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Explicit Class of Admissible Mechanisms

In causal inference, one approach to defining the complexity of a candidate generative model is to restrict the explicit class of admissible mechanisms. In this approach, all causal mechanisms f^\hat{f} belonging to a particular class F\mathcal{F} of bivariate functional causal models (FCM) are assumed to be simple, while all others are considered complex. For these methods, the model complexity term is assigned as CB^(θ)=0C_{\hat{B}}(\theta) = 0 if f^F\hat{f} \in \mathcal{F}, and CB^(θ)=1C_{\hat{B}}(\theta) = 1 otherwise.

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Updated 2026-06-20

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Data Science