Approximating the Permanent with Belief Propagation

Details Approximating the Permanent with Belief Propagation Approximating the Permanent with Belief Propagation

2009-08-12

arxiv.org/abs/0908.1769v1

Computer Science

Learning

Scientific paper

This work describes a method of approximating matrix permanents efficiently using belief propagation. We formulate a probability distribution whose partition function is exactly the permanent, then use Bethe free energy to approximate this partition function. After deriving some speedups to standard belief propagation, the resulting algorithm requires $(n^2)$ time per iteration. Finally, we demonstrate the advantages of using this approximation.

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