TAP free energy, spin glasses, and variational inference

arXiv: Probability, 2018.

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Abstract:

We consider the Sherrington-Kirkpatrick model of spin glasses with ferromagnetically biased couplings. For a specific choice of the couplings mean, the resulting Gibbs measure is equivalent to the Bayesian posterior for a high-dimensional estimation problem known as `$Z_2$ synchronizationu0027. Statistical physics suggests to compute the ...More

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