Chain graph interpretations and their relations

Authors:
Dag Sonntag;Jose M. Peña
Affiliations:
ADIT, IDA, Linköping University, Sweden;ADIT, IDA, Linköping University, Sweden
Venue:
ECSQARU'13 Proceedings of the 12th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Year:
2013

Citing 1
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Abstract

This paper deals with different chain graph interpretations and the relations between them in terms of representable independence models. Specifically, we study the Lauritzen-Wermuth-Frydenberg, Andersson-Madigan-Pearlman and multivariate regression interpretations and present the necessary and sufficient conditions for when a chain graph of one interpretation can be perfectly translated into a chain graph of another interpretation. Moreover we also present a feasible split for the Andersson-Madigan-Pearlman interpretation with similar features as the feasible splits presented for the other two interpretations.