Abstract
We overview three kinds of possibilistic graphical models (based on directed acyclic graphs) and present, how they can be expressed by means of non-graphical approach to multidimensional models, so-called compositional models. We show that any of these graphical models can be transformed into a compositional model, but not vice versa. The only exception are directed possibilistic graphs, which are as general as so-called prefect sequences of low-dimensional distributions.
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Vejnarová, J. (2010). Possibilistic Graphical Models and Compositional Models. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods. IPMU 2010. Communications in Computer and Information Science, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14055-6_3
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DOI: https://doi.org/10.1007/978-3-642-14055-6_3
Publisher Name: Springer, Berlin, Heidelberg
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