Computing loop corrections by message passing

@article{Ramezanpour2013ComputingLC,
  title={Computing loop corrections by message passing},
  author={Abolfazl Ramezanpour},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={87 6},
  pages={
          060103
        }
}
  • A. Ramezanpour
  • Published 29 November 2012
  • Computer Science
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Any spanning tree in a loopy interaction graph can be used for communicating the effect of the loopy interactions by introducing messages that are passed along the edges in the spanning tree. This defines an exact mapping of the problem on the loopy interaction graph onto an extended problem on a tree interaction graph, where the thermodynamic quantities can be computed by a message-passing algorithm based on the Bethe equations. We propose an approximation loop correction algorithm for the… 

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