Breaking the Limit of Graph Neural Networks by Improving the Assortativity of Graphs with Local Mixing Patterns
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Abstract (arXiv)
Graph neural networks (GNNs) have achieved tremendous success on multiple graph-based learning tasks by fusing network structure and node features. Modern GNN models are built upon iterative aggregation of neighbor's/proximity features by message passing. Its prediction performance has been shown to be strongly bounded by assortative mixing in the graph, a key property wherein nodes with similar attributes mix/connect with each other. We observe that real world networks exhibit heterogeneous or diverse mixing patterns and the conventional global measurement of assortativity, such as global assortativity coefficient, may not be a representative statistic in quantifying this mixing. We adopt a generalized concept, node-level assortativity, one that is based at the node level to better represent the diverse patterns and accurately quantify the learnability of GNNs. We find that the prediction performance of a wide range of GNN models is highly correlated with the node level assortativity. To break this limit, in this work, we focus on transforming the input graph into a computation graph which contains both proximity and structural information as distinct type of edges. The resulted multi-relational graph has an enhanced level of assortativity and, more importantly, preserves rich information from the original graph. We then propose to run GNNs on this computation graph and show that adaptively choosing between structure and proximity leads to improved performance under diverse mixing. Empirically, we show the benefits of adopting our transformation framework for semi-supervised node classification task on a variety of real world graph learning benchmarks.
Key facts. Cited by 95 papers in the map (data through 7 Oct 2026). Builds on 36 of its 54 references that are in the map. First posted on arXiv 11 Jun 2021.
Builds on
36 of 54 references.
References · 36
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Citing papers per year: 2021: 1; 2022: 22; 2023: 26; 2024: 30; 2025: 11; 2026: 5.
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- 2023A critical look at the evaluation of GNNs under heterophily: Are we really making progress?cited by 332
- 2022Finding Global Homophily in Graph Neural Networks When Meeting Heterophilycited by 179
- 2022Graph Neural Networks for Graphs with Heterophily: A Surveycited by 175
- 2022Data Augmentation for Deep Graph Learning: A Surveycited by 132
- 2023Ordered GNN: Ordering Message Passing to Deal with Heterophily and Over-smoothingcited by 67
- 2022A Survey on Graph Representation Learning Methodscited by 66
- 2022Characterizing Graph Datasets for Node Classification: Homophily-Heterophily Dichotomy and Beyondcited by 60
- 2022Beyond Smoothing: Unsupervised Graph Representation Learning with Edge Heterophily Discriminatingcited by 57
- 2021Simplifying approach to Node Classification in Graph Neural Networkscited by 56
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- 2026Not Just Oversmoothing: Detecting the Echo Chamber Effect in Graph Neural Networks6 Sep 2026
- 2026Graph Navier Stokes Networks20 May 2026
- 2026Attention-based graph neural networks: a survey9 May 2026
- 2026P2GNN: Two Prototype Sets to boost GNN Performance10 Mar 2026
- 2025Beyond Fixed Depth: Adaptive Graph Neural Networks for Node Classification Under Varying Homophily10 Nov 2025
- 2025Does Homophily Help in Robust Test-time Node Classification?25 Oct 2025
- 2025Bridging Computational Social Science and Deep Learning: Cultural Dissemination-Inspired Graph Neural Networks23 Sep 2025
- 2025Attention Beyond Neighborhoods: Reviving Transformer for Graph Clustering18 Sep 2025
- 2025Learning from Heterophilic Graphs: A Spectral Theory Perspective on the Impact of Self-Loops and Parallel Edges16 Sep 2025
- 2025Gumbel-MPNN: Graph Rewiring with Gumbel-Softmax24 Aug 2025
- 2025Adapting to Heterophilic Graph Data with Structure-Guided Neighbor Discovery10 Jun 2025
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