Skip to yearly menu bar Skip to main content


Poster

Position Paper: Future Directions in Foundations of Graph Machine Learning

Christopher Morris · Nadav Dym · Haggai Maron · Ismail Ceylan · Fabrizio Frasca · Ron Levie · Derek Lim · Michael Bronstein · Martin Grohe · Stefanie Jegelka


Abstract:

Machine learning on graphs, especially using graph neural networks (GNNs), has seen a surge in interest due to the wide availability of graph data across a broad spectrum of disciplines, from life to social and engineering sciences. Despite their practical success, our theoretical understanding of the properties of GNNs remains highly incomplete. Recent theoretical advancements primarily focus on elucidating the coarse-grained expressive power of GNNs, predominantly employing combinatorial techniques. However, these studies do not perfectly align with practice, particularly in understanding the generalization behavior of GNNs when trained with stochastic first-order optimization techniques. In this position paper, we argue that the graph machine learning community needs to shift its attention to developing a more balanced theory of graph machine learning, focusing on a more thorough understanding of the interplay of expressive power, generalization, and optimization.

Live content is unavailable. Log in and register to view live content