Papers › Is Heterophily A Real Nightmare For Graph Neural Networks To Do Node Classification?

Is Heterophily A Real Nightmare For Graph Neural Networks To Do Node Classification?

12 Sep 2021arXiv:2109.05641archive 2025-07-28

Sitao Luan, Chenqing Hua, Qincheng Lu, Jiaqi Zhu, Mingde Zhao, Shuyuan Zhang, Xiao-Wen Chang, Doina Precup

Graph Neural Networks (GNNs) extend basic Neural Networks (NNs) by using the graph structures based on the relational inductive bias (homophily assumption). Though GNNs are believed to outperform NNs in real-world tasks, performance advantages of GNNs over graph-agnostic NNs seem not generally satisfactory. Heterophily has been considered as a main cause and numerous works have been put forward to address it. In this paper, we first show that not all cases of heterophily are harmful for GNNs with aggregation operation. Then, we propose new metrics based on a similarity matrix which considers the influence of both graph structure and input features on GNNs. The metrics demonstrate advantages over the commonly used homophily metrics by tests on synthetic graphs. From the metrics and the observations, we find some cases of harmful heterophily can be addressed by diversification operation. With this fact and knowledge of filterbanks, we propose the Adaptive Channel Mixing (ACM) framework to adaptively exploit aggregation, diversification and identity channels in each GNN layer to address harmful heterophily. We validate the ACM-augmented baselines with 10 real-world node classification tasks. They consistently achieve significant performance gain and exceed the state-of-the-art GNNs on most of the tasks without incurring significant computational burden.

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Tasks

Inductive BiasNode Classification

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Node Classification Citeseer ACMII-Snowball-2 Accuracy 82.07 ± 1.04 #1 of 71 Archive leaderboard report
Node Classification Citeseer ACM-GCN Accuracy 81.68 ± 0.97 #2 of 71 Archive leaderboard report
Node Classification Citeseer ACM-Snowball-2 Accuracy 81.58 ± 1.23 #3 of 71 Archive leaderboard report
Node Classification Citeseer ACMII-Snowball-3 Accuracy 81.56 ± 1.15 #4 of 71 Archive leaderboard report
Node Classification Cora ACMII-Snowball-3 Accuracy 89.36% ± 1.26% #3 of 73 Archive leaderboard report
Node Classification Cora ACMII-GCN Accuracy 88.95% ± 1.04% #4 of 73 Archive leaderboard report
Node Classification Cora ACM-Snowball-2 Accuracy 88.83% ± 1.49% #5 of 73 Archive leaderboard report
Node Classification Cora ACM-GCN Accuracy 88.62% ± 1.22% #8 of 73 Archive leaderboard report
Node Classification Pubmed ACMII-Snowball-3 Accuracy 91.31 ± 0.6 #3 of 70 Archive leaderboard report
Node Classification Pubmed ACM-GCN Accuracy 90.74 ± 0.5 #4 of 70 Archive leaderboard report
Node Classification Pubmed ACMII-Snowball-2 Accuracy 90.56 ± 0.39 #6 of 70 Archive leaderboard report

Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.

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