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A Quadratic Programming Approach to the Graph Edit Distance Problem

A Quadratic Programming Approach to the Graph Edit Distance Problem

This video was recorded at 6th IAPR - TC-15 Workshop on Graph-based Representations in Pattern Recognition (GbR), Alicante 2007. In this paper we propose a quadratic programming approach to computing the edit distance of graphs. Whereas the standard edit distance is defined with respect to a minimum-cost edit path between graphs, we introduce the notion of fuzzy edit paths between graphs and provide a quadratic programming formulation for the minimization of fuzzy edit costs. Experiments on real-world graph data demonstrate that our proposed method is able to outperform the standard edit distance method in terms of recognition accuracy on two out of three data sets.
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