%0 Conference Proceedings %T Function Space Pooling for Graph Convolutional Networks %+ School of Computer Sciences & Informatics [Cardiff] %A Corcoran, Padraig %< avec comité de lecture %( Lecture Notes in Computer Science %B 4th International Cross-Domain Conference for Machine Learning and Knowledge Extraction (CD-MAKE) %C Dublin, Ireland %Y Andreas Holzinger %Y Peter Kieseberg %Y A Min Tjoa %Y Edgar Weippl %I Springer International Publishing %3 Machine Learning and Knowledge Extraction %V LNCS-12279 %P 473-483 %8 2020-08-25 %D 2020 %R 10.1007/978-3-030-57321-8_26 %K Graph neural network %K Vertex pooling %K Function space %Z Computer Science [cs] %Z Humanities and Social Sciences/Library and information sciencesConference papers %X Convolutional layers in graph neural networks are a fundamental type of layer which output a representation or embedding of each graph vertex. The representation typically encodes information about the vertex in question and its neighbourhood. If one wishes to perform a graph centric task, such as graph classification, this set of vertex representations must be integrated or pooled to form a graph representation. In this article we propose a novel pooling method which maps a set of vertex representations to a function space representation. This method is distinct from existing pooling methods which perform a mapping to either a vector or sequence space. Experimental graph classification results demonstrate that the proposed method generally outperforms most baseline pooling methods and in some cases achieves best performance. %G English %Z TC 5 %Z TC 8 %Z TC 12 %Z WG 8.4 %Z WG 8.9 %Z WG 12.9 %2 https://inria.hal.science/hal-03414745/document %2 https://inria.hal.science/hal-03414745/file/497121_1_En_26_Chapter.pdf %L hal-03414745 %U https://inria.hal.science/hal-03414745 %~ SHS %~ IFIP-LNCS %~ IFIP %~ IFIP-TC %~ IFIP-TC5 %~ IFIP-WG %~ IFIP-TC12 %~ IFIP-TC8 %~ IFIP-WG8-4 %~ IFIP-WG8-9 %~ IFIP-CD-MAKE %~ IFIP-WG12-9 %~ IFIP-LNCS-12279