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We consider the problem of estimating the partition function of theferromagnetic Ising model in a consistent external magnetic field. Theestimation is done via importance sampling in the dual of the Forney factorgraph representing the model. Emphasis is on models at low temperature(corresponding to models with strong couplings) and on models with a mixture ofstrong and weak coupling parameters.

An Importance Sampling Algorithm for the Ising Model with Strong Couplings