Paper ID | SS-16.4 | ||
Paper Title | EGO-GNNS: EXPLOITING EGO STRUCTURES IN GRAPH NEURAL NETWORKS | ||
Authors | Dylan Sandfelder, Priyesh Vijayan, William Hamilton, McGill University, Canada | ||
Session | SS-16: Theoretical Foundations of Graph Neural Networks | ||
Location | Gather.Town | ||
Session Time: | Friday, 11 June, 14:00 - 14:45 | ||
Presentation Time: | Friday, 11 June, 14:00 - 14:45 | ||
Presentation | Poster | ||
Topic | Special Sessions: Theoretical Foundations of Graph Neural Networks | ||
IEEE Xplore Open Preview | Click here to view in IEEE Xplore | ||
Abstract | Graph neural networks (GNNs) have achieved remarkable success as a framework for deep learning on graph-structured data. However, GNNs are fundamentally limited by their tree-structured inductive bias: the WL-subtree kernel formulation bounds the representational capacity of GNNs, and polynomial-time GNNs are provably incapable of recognizing triangles in a graph. In this work, we propose to augment the GNN message-passing operations with information defined on ego graphs (i.e., the induced subgraph surrounding each node). We term these approaches Ego-GNNs and show that Ego-GNNs are provably more powerful than standard message-passing GNNs. In particular, we show that Ego-GNNs are capable of recognizing closed triangles, which is essential given the prominence of transitivity in real-world graphs. We also motivate our approach from the perspective of graph signal processing as a form of multiplex graph convolution. Experimental results on node classification using synthetic and real data highlight the achievable performance gains using this approach. |