The Bethe permanent of a non-negative matrix

  title={The Bethe permanent of a non-negative matrix},
  author={Pascal O. Vontobel},
  journal={2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)},
It has recently been observed that the permanent of a non-negative matrix, i.e., of a matrix containing only non-negative real entries, can very well be approximated by solving a certain Bethe free energy minimization problem with the help of the sum-product algorithm. We call the resulting approximation of the permanent the Bethe permanent. 
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