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A review on statistical inference methods for discrete Markov random fields

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Figure 1: First and second order neighbourhood graphs G with corresponding cliques. (a) The four closest neighbours graph G4
Figure 2: Phase transition for a 2-states Potts model with respect to the first order and second order 100×100 regular square lattices
Figure 3: Factorisation of the Gibbs distribution approximation over a set of contiguous block A(ℓ) with border B(ℓ) set to a constant field ˜ x .
Figure 4: Auxiliary variables and subgraph illustrations for the Swendsen-Wang algorithm

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