Unfaithful Probability Distributions in Binary Triple of Causality Directed Acyclic Graph

Jingwei Liu

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arXiv · 2501.18337

Unfaithful Probability Distributions in Binary Triple of Causality Directed Acyclic Graph

Jingwei Liu

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Abstract

Faithfulness is the foundation of probability distribution and graph in causal discovery and causal inference. In this paper, several unfaithful probability distribution examples are constructed in three--vertices binary causality directed acyclic graph (DAG) structure, which are not faithful to causal DAGs described in J.M.,Robins,et al. Uniform consistency in causal inference. Biometrika (2003),90(3): 491--515. And the general unfaithful probability distribution with multiple independence and conditional independence in binary triple causal DAG is given.

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Jingwei Liu. 2025-01-30. Unfaithful Probability Distributions in Binary Triple of Causality Directed Acyclic Graph. https://arxiv.org/abs/2501.18337

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