Studying the Effect of GNN Spatial Convolutions On The Embedding Space’s Geometry

Abstract

By recursively summing node features over entire neighborhoods, spatial graph convolution operators have been heralded as key to the success of Graph Neural Networks (GNNs). Yet, despite the multiplication of GNN methods across tasks and applications, the effect of this aggregation operation has yet to be analyzed. In fact, while most recent efforts in the GNN community have focused on optimizing the architecture of the neural network, fewer works have attempted to characterize