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# The Bethe permanent of a non-negative matrix

@article{Vontobel2010TheBP, 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)}, year={2010}, pages={341-346} }

- Published in 48th Annual Allerton Conference on Communication…2010
DOI:10.1109/TIT.2012.2227109

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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