Construction of a Bayesian Network as an Extension of Propositional Logic

Takuto Enomoto, Masaomi Kimura

2015

Abstract

A Bayesian network is a probabilistic graphical model. Many conventional methods have been proposed for its construction. However, these methods often result in an incorrect Bayesian network structure. In this study, to correctly construct a Bayesian network, we extend the concept of propositional logic. We propose a methodology for constructing a Bayesian network with causal relationships that are extracted only if the antecedent states are true. In order to determine the logic to be used in constructing the Bayesian network, we propose the use of association rule mining such as the Apriori algorithm. We evaluate the proposed method by comparing its result with that of traditional method, such as Bayesian Dirichlet equivalent uniform (BDeu) score evaluation with a hill climbing algorithm, that shows that our method generates a network with more necessary arcs than that generated by the traditional method.

Paper Citation

in Harvard Style

Enomoto T. and Kimura M. (2015). Construction of a Bayesian Network as an Extension of Propositional Logic . In Proceedings of the 7th International Joint Conference on Knowledge Discovery, Knowledge Engineering and Knowledge Management - Volume 1: KDIR, (IC3K 2015) ISBN 978-989-758-158-8, pages 211-217. DOI: 10.5220/0005595102110217

in Bibtex Style

@conference{kdir15,
author={Takuto Enomoto and Masaomi Kimura},
title={Construction of a Bayesian Network as an Extension of Propositional Logic},
booktitle={Proceedings of the 7th International Joint Conference on Knowledge Discovery, Knowledge Engineering and Knowledge Management - Volume 1: KDIR, (IC3K 2015)},
year={2015},
pages={211-217},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005595102110217},
isbn={978-989-758-158-8},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 7th International Joint Conference on Knowledge Discovery, Knowledge Engineering and Knowledge Management - Volume 1: KDIR, (IC3K 2015)
TI - Construction of a Bayesian Network as an Extension of Propositional Logic
SN - 978-989-758-158-8
AU - Enomoto T.
AU - Kimura M.
PY - 2015
SP - 211
EP - 217
DO - 10.5220/0005595102110217