PT Unknown AU Pau Riba Andreas Fischer Josep Llados Alicia Fornes TI Learning Graph Distances with Message Passing Neural Networks BT 24th International Conference on Pattern Recognition PY 2018 BP 2239 EP 2244 DI 10.1109/ICPR.2018.8545310 DE ★Best Paper Award★ AB Graph representations have been widely used in pattern recognition thanks to their powerful representation formalism and rich theoretical background. A number of error-tolerant graph matching algorithms such as graph edit distance have been proposed for computing a distance between two labelled graphs. However, they typically suffer from a highcomputational complexity, which makes it difficult to applythese matching algorithms in a real scenario. In this paper, we propose an efficient graph distance based on the emerging field of geometric deep learning. Our method employs a message passing neural network to capture the graph structure and learns a metric with a siamese network approach. The performance of the proposed graph distance is validated in two application cases, graph classification and graph retrieval of handwritten words, and shows a promising performance when compared with(approximate) graph edit distance benchmarks. ER