Bayesian Graphical Models

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Abstract

Mathematically, a Bayesian graphical model is a compact representation of the joint probability distribution for a set of variables. The most frequently used type of Bayesian graphical models are Bayesian networks. The structural part of a Bayesian graphical model is a graph consisting of nodes and edges. The nodes represent variables, which may be either discrete or continuous. An edge between two nodes A and B indicates a direct influence between the state of A and the state of B, which in some domains can also be interpreted as a causal relation.

The wide-spread use of Bayesian networks is largely due to the availability of efficient inference algorithms for answering probabilistic queries about the states of the variables in the network. Furthermore, to support the construction of Bayesian network models, learning algorithms are also available. We give an overview of the Bayesian network formalism as well as some of the algorithmic developments in the area.
Original languageEnglish
Title of host publicationWiley StatsRef : Statistics Reference Online
PublisherWiley
Publication date2016
Pages1-9
ISBN (Electronic)9781118445112
DOIs
Publication statusPublished - 2016
SeriesWiley StatsRef: Statistics Reference Online

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Jensen, F. V., & Nielsen, T. D. (2016). Bayesian Graphical Models. In Wiley StatsRef: Statistics Reference Online (pp. 1-9). Wiley. Wiley StatsRef: Statistics Reference Online https://doi.org/10.1002/9781118445112.stat07360.pub2