Beyond Log-Supermodularity: Lower Bounds and the Bethe Partition Function

نویسنده

  • Nicholas Ruozzi
چکیده

A recent result has demonstrated that the Bethe partition function always lower bounds the true partition function of binary, logsupermodular graphical models. We demonstrate that these results can be extended to other interesting classes of graphical models that are not necessarily binary or log-supermodular: the ferromagnetic Potts model with a uniform external field and its generalizations and special classes of weighted graph homomorphism problems.

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عنوان ژورنال:
  • CoRR

دوره abs/1309.6859  شماره 

صفحات  -

تاریخ انتشار 2013