Figure 1: A graph and a partition into two subsets S, S _ . In this case, the two subsets have equal number of vertices; such a partition is called a bisection. The number of edges crossing the cut is ...

Background: The concept of the latent geometry of a network that can be represented as a graph has emerged from the classrooms of mathematicians and theoretical physicists to become an indispensable ...

The expressive power of Graph Neural Networks (GNNs) has been studied extensively through the Weisfeiler-Leman (WL) graph isomorphism test. However, standard GNNs and the WL framework are inapplicable ...

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We propose a solution by formulating a corresponding minimzation problem over the product manifold $\mathcal{M}^{\times n}$ and running first- and second-order (Riemannian) optimization algorithms.

Abstract: In this paper, we study the generalization capabilities of geometric graph neural networks (GNNs). We consider GNNs over a geometric graph constructed from a finite set of randomly sampled ...

Abstract: Mixup is a data augmentation method which can interpolate between existing data to create new samples. By enlarging the training distribution, it reduces the risk of over-fitting and ...