# Stability Properties of Graph Neural Networks

@article{Gama2019StabilityPO, title={Stability Properties of Graph Neural Networks}, author={F. Gama and Joan Bruna and A. Ribeiro}, journal={ArXiv}, year={2019}, volume={abs/1905.04497} }

Data stemming from networks exhibit an irregular support, whereby each data element is related by arbitrary pairwise relationships determined by the network. Graph neural networks (GNNs) have emerged as information processing architectures that exploit the particularities of this underlying support. The use of nonlinearities in GNNs, coupled with the fact that filters are learned from data, raises mathematical challenges that have precluded the development of theoretical results that would give… CONTINUE READING

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