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Hypergraph Matching With an Entropy Barrier Function

Graph matching problem has been widely used in many fields. Due to the discrete property of graph matching problem, the continuous relaxation will result in a bad influence on the solution. Thus, we propose a hypergraph matching model with an entropy barrier function considering the discrete property of the assignment matrix. The model is solved by a nonmonotone active set projected Newton method whose nonmonotone line search technique has a good ability to accept the projected Newton stepsize. We evaluate our method through several experiments, which indicates that our method has better matching results than others.