Landscape modification meets spin systems: from torpid to rapid mixing, tunneling and annealing in the low-temperature regime

Michael C. H. Choi

Given a target Gibbs distribution ${\pi }_{\beta }^0\propto e^{-\beta \mathcal{H}}$ to sample from in the low-temperature regime on ${\Sigma }_N:=\{-1,+1{\}}^N$, in this paper we propose and analyze Metro…