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Paper · arXiv

Batch Before You Lift: Scalable Topological Deep Learning on Large Graphs

Topological Deep Learning extends graph-based learning to higher-order domains, such as hypergraphs, cellular, and simplicial complexes. These domains are typically constructed from patterns in an input graph through a process of graph lifting. Full-domain training constructs and stores the complete lifted representation before model execution. On large and dense datasets like Reddit (233k nodes and 57.3M edges), this global materialization becomes a severe computational bottleneck, often rendering training infeasible. To address this limitation, we introduce Cluster-TNN, a domain-agnostic framework that avoids this bottleneck by lifting locally instead. After partitioning the input graph...

AuthorsDavid Leko, Luka Benić, Guillermo Bernárdez et al.
Primary categorycs.LG
Published8 October 2026
Last updated at source8 October 2026
cs.LGcs.AI
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