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GLINKX: A Scalable Unified Framework For Homophilous and Heterophilous Graphs

2022/11/01 by Marios Papachristou, Rishab Goel, Papachristou, Marios +7
Computer Science · Psychology · #Advanced Graph Neural Networks #FOS: Computer and information sciences #Machine Learning (cs.LG) #Mental Health via Writing #Recommender Systems and Techniques #Social and Information Networks (cs.SI)

paper · pdf · doi:10.48550/arxiv.2211.00550

openalex publication_date 2022/11/01 · openalex created_date 2022/11/07 · openalex updated_date 2026/07/28

Abstract

In graph learning, there have been two predominant inductive biases regarding graph-inspired architectures: On the one hand, higher-order interactions and message passing work well on homophilous graphs and are leveraged by GCNs and GATs. Such architectures, however, cannot easily scale to large real-world graphs. On the other hand, shallow (or node-level) models using ego features and adjacency embeddings work well in heterophilous graphs. In this work, we propose a novel scalable shallow method -- GLINKX -- that can work both on homophilous and heterophilous graphs. GLINKX leverages (i) novel monophilous label propagations, (ii) ego/node features, (iii) knowledge graph embeddings as positional embeddings, (iv) node-level training, and (v) low-dimensional message passing. Formally, we prove novel error bounds and justify the components of GLINKX. Experimentally, we show its effectiveness on several homophilous and heterophilous datasets.

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