A Graph-Based Inference Method for Conditional Independence

Preprint

20 March 2013

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.1303.5749

Abstract

The graphoid axioms for conditional independence, originally described by Dawid [1979], are fundamental to probabilistic reasoning [Pearl, 19881. Such axioms provide a mechanism for manipulating conditional independence assertions without resorting to their numerical definition. This paper explores a representation for independence statements using multiple undirected graphs and some simple graphical transformations. The independence statements derivable in this system are equivalent to those obtainable by the graphoid axioms. Therefore, this is a purely graphical proof technique for conditional independence.

Keywords

CONDITIONAL INDEPENDENCE
INDEPENDENCE STATEMENTS
INFERENCE METHOD
GRAPHOID AXIOMS
BASED INFERENCE
GRAPH BASED
GRAPHICAL

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Version 1, 2013-03-20, ArXiv

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