The problem of finding the sparsest bayesian network for an input data set is NP-Hard

Authors:
Paweł Betliński;Dominik Ślęzak
Affiliations:
Institute of Mathematics, University of Warsaw, Warsaw, Poland;Institute of Mathematics, University of Warsaw, Warsaw, Poland, Infobright Inc., Warsaw, Poland
Venue:
ISMIS'12 Proceedings of the 20th international conference on Foundations of Intelligent Systems
Year:
2012

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Abstract

We show that the problem of finding a Bayesian network with minimum number of edges for an input data set is NP-hard. We discuss the analogies of formulation and proof of our result to other studies in the areas of Bayesian networks and knowledge discovery.