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Technische Berichte des Instituts für Informatik

Publication date: 2001-04-01
Volume: 151
Publisher: Institut für Informatik, Universität Freiburg; Freiburg, Germany

Author:

Kersting, Kristian
De Raedt, Luc

Keywords:

uncertainty, first-order probabilistic representations, knowledge-based model construction, Bayesian networks, definite clause logic, pure Prolog, temporal models

Abstract:

Bayesian networks provide an elegant formalism for representing and reasoning about uncertainty using probability theory. They are a probabilistic extension of propositional logic and, hence, inherit some of the limitations of propositional logic, such as the difficulties to represent objects and relations. We introduce a generalization of Bayesian networks, called Bayesian logic programs, to overcome these limitations. In order to represent objects and relations it combines Bayesian networks with definite clause logic by establishing a one-to-one mapping between ground atoms and random variables. We show that Bayesian logic programs combine the advantages of both definite clause logic and Bayesian networks. This includes the separation of quantitative and qualitative aspects of the model. Furthermore, Bayesian logic programs generalize both Bayesian networks as well as logic programs. So, many ideas developed in both areas carry over.