--- res: bibo_abstract: - We consider the problem of inference in agraphical model with binary variables. While in theory it is arguably preferable to compute marginal probabilities, in practice researchers often use MAP inference due to the availability of efficient discrete optimization algorithms. We bridge the gap between the two approaches by introducing the Discrete Marginals technique in which approximate marginals are obtained by minimizing an objective function with unary and pair-wise terms over a discretized domain. This allows the use of techniques originally devel-oped for MAP-MRF inference and learning. We explore two ways to set up the objective function - by discretizing the Bethe free energy and by learning it from training data. Experimental results show that for certain types of graphs a learned function can out-perform the Bethe approximation. We also establish a link between the Bethe free energy and submodular functions.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Filip foaf_name: Korc, Filip foaf_surname: Korc foaf_workInfoHomepage: http://www.librecat.org/personId=476A2FD6-F248-11E8-B48F-1D18A9856A87 - foaf_Person: foaf_givenName: Vladimir foaf_name: Kolmogorov, Vladimir foaf_surname: Kolmogorov foaf_workInfoHomepage: http://www.librecat.org/personId=3D50B0BA-F248-11E8-B48F-1D18A9856A87 - foaf_Person: foaf_givenName: Christoph foaf_name: Lampert, Christoph foaf_surname: Lampert foaf_workInfoHomepage: http://www.librecat.org/personId=40C20FD2-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0001-8622-7887 bibo_doi: 10.15479/AT:IST-2012-0003 dct_date: 2012^xs_gYear dct_isPartOf: - http://id.crossref.org/issn/2664-1690 dct_language: eng dct_publisher: IST Austria@ dct_title: Approximating marginals using discrete energy minimization@ ...