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arXiv 2008.01767cs.LGstat.ML

Graph Neural Networks: Architectures, Stability and Transferability

University of Pennsylvania(宾夕法尼亚大学)

Luana Ruiz, Fernando Gama, Alejandro Ribeiro

英文摘要:

Graph Neural Networks (GNNs) are information processing architectures for signals supported on graphs. They are presented here as generalizations of convolutional neural networks (CNNs) in which individual layers contain banks of graph convolutional filters instead of banks of classical convolutional filters. Otherwise, GNNs operate as CNNs. Filters are composed with pointwise nonlinearities and stacked in layers. It is shown that GNN architectures exhibit equivariance to permutation and stability to graph deformations. These properties help explain the good performance of GNNs that can be observed empirically. It is also shown that if graphs converge to a limit object, a graphon, GNNs converge to a corresponding limit object, a graphon neural network. This convergence justifies the transferability of GNNs across networks with different number of nodes. Concepts are illustrated by the application of GNNs to recommendation systems, decentralized collaborative control, and wireless communication networks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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