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Part of the book series: Information Science and Statistics ((ISS,volume 22))

Abstract

Probabilistic networks are graphical models of (causal) interactions among a set of variables, where the variables are represented as vertices (nodes) of a graph and the interactions (direct dependences) as directed edges (links or arcs) between the vertices. Any pair of unconnected vertices of such a graph indicates (conditional) independence between the variables represented by these vertices under particular circumstances that can easily be read from the graph. Hence, probabilistic networks capture a set of (conditional) dependence and independence properties associated with the variables represented in the network.

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Notes

  1. 1.

    See Sect. 2.2 for the naming conventions used for vertices and variables.

  2. 2.

    See Sect.  3.3 on page 46.

  3. 3.

    In the literature, soft evidence is often called virtual evidence.

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© 2013 Springer Science+Business Media New York

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Kjærulff, U.B., Madsen, A.L. (2013). Networks. In: Bayesian Networks and Influence Diagrams: A Guide to Construction and Analysis. Information Science and Statistics, vol 22. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5104-4_2

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  • DOI: https://doi.org/10.1007/978-1-4614-5104-4_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-5103-7

  • Online ISBN: 978-1-4614-5104-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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