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Inference on cyclic graphs is one of the most important problems in the applications of graphical models. While exact inference is NP-hard on general cyclic graphs, it has been found that exact inference can be achieved with a computational complexity as low as O(Nm3) on the outer-planar graph, which is a special kind of cyclic graph. In this paper, we introduce a new kind of cyclic graph, the generalized...
Inference on graphical models has great applications in the fields such as pattern recognition, artificial intelligence and statistics. The inference problem is usually studied as an optimization problem w.r.t. free energy, such as Bethe/Kikuchi free energy minimization. However, due to the nonconvexity of these free energies, it is often infeasible to obtain the global optimum. In this paper, we...
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