TAP free energy, spin glasses and variational inference
TAP free energy, spin glasses and variational inference
We consider the Sherringtonā€“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 "${\mathbb{Z}}_{2}$ synchronization." Statistical physics suggests to compute the expectation with respect to this ā€¦