New Scalable Framework for Higher-Order Graph Learning
A team of researchers has launched new streamlined versions of the cellular Weisfeiler-Lehman tests, known as sCWL and fCWL, which boost efficiency without sacrificing the ability to analyze complex graphs. They’ve introduced the maximal clique complex to enable scalable cellular Weisfeiler-Lehman networks (CWNs), which drastically cut down on time and memory usage. To avoid the cumbersome task of listing all cliques, they've created CliqueWalk, a random walk method that efficiently samples maximal cliques and works well with larger graphs. This innovative approach addresses the scalability issues often found in higher-order models built on cell complexes, which are more expressive than traditional graph neural networks (GNNs).
Key facts
- Simplified and factored cellular Weisfeiler-Lehman tests (sCWL and fCWL) are introduced.
- sCWL and fCWL preserve expressivity of the CWL test while improving computational efficiency.
- Maximal clique complex enables scalable CWNs with reduced time and memory complexity.
- CliqueWalk is a biased random walk that samples maximal cliques.
- CliqueWalk scales linearly with graph size.
- GNNs are limited to modeling pairwise interactions.
- Higher-order models based on cell complexes achieve greater expressivity but suffer from poor scalability.
- The framework is for higher-order graph representation learning.
Entities
Institutions
- arXiv