Equi-Energy sampling does not converge rapidly on the mean-field Potts model with three colors close to the critical temperature
Mirko Ebbers,
Matthias Löwe
Abstract:Equi-Energy Sampling (EES, for short) is a method to speed up the convergence of the Metropolis chain, when the latter is slow. We show that there are still models like the mean-field Potts model, where EES does not converge rapidly in certain temperature regimes. Indeed we will show that EES is slowly mixing on the mean-field Potts model, in a regime below the critical temperature. Though we will concentrate on the Potts model with three colors, our arguments remain valid for any number of colors q ≥ 3, if we… Show more
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