Non-existence and lower-tail probabilities in the critical regime for hypergraph edge counts are approximated by the Bethe free energy at the unique fixed point of a Belief Propagation operator under structural conditions on the hypergraph.
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Non-existence probabilities and lower tails in the critical regime via Belief Propagation
Non-existence and lower-tail probabilities in the critical regime for hypergraph edge counts are approximated by the Bethe free energy at the unique fixed point of a Belief Propagation operator under structural conditions on the hypergraph.