Representing Bayesian Networks within Probabilistic Horn Abduction

David L. Poole

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arXiv · 1303.5738

Representing Bayesian Networks within Probabilistic Horn Abduction

David L. Poole

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Abstract

This paper presents a simple framework for Horn clause abduction, with probabilities associated with hypotheses. It is shown how this representation can represent any probabilistic knowledge representable in a Bayesian belief network. The main contributions are in finding a relationship between logical and probabilistic notions of evidential reasoning. This can be used as a basis for a new way to implement Bayesian Networks that allows for approximations to the value of the posterior probabilities, and also points to a way that Bayesian networks can be extended beyond a propositional language.

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David L. Poole. 2013-03-20. Representing Bayesian Networks within Probabilistic Horn Abduction. https://arxiv.org/abs/1303.5738

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