Message passing solutions in percolation identify reachability from cycles, not giant component membership, on any directed or undirected networks.
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A stochastic MCMC sampling method with umbrella sampling provides unbiased loop corrections to belief propagation for exact factorization-based tensor network contraction on loopy graphs with symmetric potentials.
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Message passing and cyclicity transition
Message passing solutions in percolation identify reachability from cycles, not giant component membership, on any directed or undirected networks.
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Stochastic Loop Corrections to Belief Propagation for Tensor Network Contraction
A stochastic MCMC sampling method with umbrella sampling provides unbiased loop corrections to belief propagation for exact factorization-based tensor network contraction on loopy graphs with symmetric potentials.