@InProceedings{PauRiba2018, author="Pau Riba and Andreas Fischer and Josep Llados and Alicia Fornes", title="Learning Graph Distances with Message Passing Neural Networks", booktitle="24th International Conference on Pattern Recognition", year="2018", pages="2239--2244", optkeywords="*Best Paper Award*", abstract="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.", optnote="DAG; 600.097; 603.057; 601.302; 600.121", optnote="exported from refbase (http://refbase.cvc.uab.es/show.php?record=3168), last updated on Thu, 28 Mar 2019 10:24:49 +0100", doi="10.1109/ICPR.2018.8545310", file=":http://refbase.cvc.uab.es/files/RFL2018.pdf:PDF" }