Mean-field approximation, convex hierarchies, and the optimality of correlation rounding: a unified perspective

Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, Volume abs/1808.07226, 2019, Pages 1226-1236.

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Abstract:

The free energy is a key quantity of interest in Ising models, but unfortunately, computing it in general is computationally intractable. Two popular (variational) approximation schemes for estimating the free energy of general Ising models (in particular, even in regimes where correlation decay does not hold) are: (i) the mean-field appr...More

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