# Unfaithful Probability Distributions in Binary Triple of Causality Directed Acyclic Graph

arXiv: https://arxiv.org/abs/2501.18337 · HTML: https://mlsanity.com/paper/2501.18337/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- First posted on arXiv 30 Jan 2025.

## Abstract (arXiv)

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.