Interaction graphs for multivariate binary data

Authors:
Johan Van Horebeek;Jesús Emeterio Navarro-Barrientos
Affiliations:
Centro de Investigación en Matemáticas, Guanajuato, GTO, Mexico;School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ
Venue:
IBERAMIA'10 Proceedings of the 12th Ibero-American conference on Advances in artificial intelligence
Year:
2010

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Abstract

We define a class of graphs that summarize in a compact visual way the interaction structure between binary multivariate characteristics. This allows studying the conditional dependency structure between the underlying stochastic variables at a finer scale than with classical probabilistic Graphical Models. A model selection strategy is derived based on an iterative optimization procedure and the consistency problem is discussed. We include the analysis of two data-sets to illustrate the proposed approach.