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math.PR2017
Decomposition of mean-field Gibbs distributions into product measures
Ronen Eldan, Renan Gross
We show that under a low complexity condition on the gradient of a Hamiltonian, Gibbs distributions on the Boolean hypercube are approximate mixtures of product measures whose prob…
math.PR2017
Exponential random graphs behave like mixtures of stochastic block models
Ronen Eldan, Renan Gross
We study the behavior of exponential random graphs in both the sparse and the dense regime. We show that exponential random graphs are approximate mixtures of graphs with independe…