CAT-Walk: Inductive Hypergraph Learning via Set Walks

Ali Behrouz, Farnoosh Hashemi, Sadaf Sadeghian, Margo Seltzer

Keywords: Hypergraph Learning, Temporal Networks, Higher-order Temporal Motifs, Inductive Representation Learning

TL;DR: We propose an effective and inductive way to encode the higher-order patterns and dynamic laws of the hypergraphs via SetWalks, a new family of walks on hypergraphs, which significantly improves inductive representation learning on these networks.

Abstract: Temporal hypergraphs provide a powerful paradigm for modeling time-dependent, higher-order interactions in complex systems. Representation learning for hypergraphs is essential for extracting patterns of the higher-order interactions that are critically important in real-world problems in social network analysis, neuroscience, finance, etc. However, existing methods are typically designed only for specific tasks or static hypergraphs. We present CAT-Walk, an inductive method that learns the underlying dynamic laws that govern the temporal and structural processes underlying a temporal hypergraph. CAT-Walk introduces a temporal, higher-order walk on hypergraphs, SetWalk, that extracts higher-order causal patterns. CAT-Walk uses a novel adaptive and permutation invariant pooling strategy, SetMixer, along with a set-based anonymization process that hides the identity of hyperedges. Finally, we present a simple yet effective neural network model to encode hyperedges. Our evaluation on 10 hypergraph benchmark datasets shows that CAT-Walk attains outstanding performance on temporal hyperedge prediction benchmarks in both inductive and transductive settings. It also shows competitive performance with state-of-the-art methods for node classification. (https://github.com/ubc-systopia/CATWalk)

Submission Number: 5253