The curved exponential family of a staged tree

2020/10/29 by Christiane Görgen, Görgen, Christiane, Manuele Leonelli +3 · 2 citations
Computer Science · #Bayesian Modeling and Causal Inference #Data Visualization and Analytics #Data Management and Algorithms

paper · pdf · doi:10.48550/arxiv.2010.15515

Abstract

Staged tree models are a discrete generalization of Bayesian networks. We show that these form curved exponential families and derive their natural parameters, sufficient statistic, and cumulant-generating function as functions of their graphical representation. We give necessary and sufficient graphical criteria for classifying regular subfamilies and discuss implications for model selection.

Cited by

• Staged Event Trees for Transparent Treatment Effect Estimation
• Markov Combinations of Discrete Statistical Models

Related

• Graphical Models and Exponential Families
• Staged trees and asymmetry-labeled DAGs
• Scalable Model Selection for Staged Trees: Mean-posterior Clustering and Binary Trees
• Equivalence Classes of Staged Trees
• On the Geometry of Discrete Exponential Families with Application to Exponential Random Graph Models