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Extension of Three-Variable Counterfactual Casual Graphic Model: from Two-Value to Three-Value Random Variable

2012/06/28 by Jingwei Liu, Liu, Jingwei
Computer Science · Mathematics · #Artificial Intelligence (cs.AI) #Bayesian Modeling and Causal Inference #FOS: Computer and information sciences #Methodology (stat.ME) #Rough Sets and Fuzzy Logic #cs.AI #stat.ME

paper · pdf · doi:10.48550/arxiv.1206.6570

openalex publication_date 2012/06/28 · arxiv created 2012/06/29 · arxiv updated 2012/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The extension of counterfactual causal graphic model with three variables of vertex set in directed acyclic graph (DAG) is discussed in this paper by extending two- value distribution to three-value distribution of the variables involved in DAG. Using the conditional independence as ancillary information, 6 kinds of extension counterfactual causal graphic models with some variables are extended from two-value distribution to three-value distribution and the sufficient conditions of identifiability are derived.

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