ARTFEED — Contemporary Art Intelligence

New Scalable Framework for Higher-Order Graph Learning

ai-technology · 2026-06-01

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

Sources