Label-Wise Graph Convolutional Network for Heterophilic Graphs
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Abstract (arXiv)
Graph Neural Networks (GNNs) have achieved remarkable performance in modeling graphs for various applications. However, most existing GNNs assume the graphs exhibit strong homophily in node labels, i.e., nodes with similar labels are connected in the graphs. They fail to generalize to heterophilic graphs where linked nodes may have dissimilar labels and attributes. Therefore, in this paper, we investigate a novel framework that performs well on graphs with either homophily or heterophily. More specifically, we propose a label-wise message passing mechanism to avoid the negative effects caused by aggregating dissimilar node representations and preserve the heterophilic contexts for representation learning. We further propose a bi-level optimization method to automatically select the model for graphs with homophily/heterophily. Theoretical analysis and extensive experiments demonstrate the effectiveness of our proposed framework for node classification on both homophilic and heterophilic graphs.
Key facts. Cited by 17 papers in the map (data through 14 Oct 2026). Builds on 37 of its 50 references that are in the map. First posted on arXiv 15 Oct 2021.
Builds on
37 of 50 references.
References · 37
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25 more
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Citing papers per year: 2022: 1; 2023: 8; 2024: 6; 2025: 1; 2026: 1.
17 papers.
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- 2022Graph Neural Networks for Graphs with Heterophily: A Surveycited by 175
- 2023Unnoticeable Backdoor Attacks on Graph Neural Networkscited by 45
- 2024AdaFGL: A New Paradigm for Federated Node Classification with Topology Heterogeneitycited by 25
- 2023Breaking the Entanglement of Homophily and Heterophily in Semi-supervised Node Classificationcited by 19
- 2023A Unified Framework of Graph Information Bottleneck for Robustness and Membership Privacycited by 14
- 2024Sign is Not a Remedy: Multiset-to-Multiset Message Passing for Learning on Heterophilic Graphscited by 8
- 2023Spatial Heterophily Aware Graph Neural Networkscited by 7
- 2024Robustness Inspired Graph Backdoor Defensecited by 7
- 2023Shape-aware Graph Spectral Learningcited by 6
- 2024The Heterophilic Snowflake Hypothesis: Training and Empowering GNNs for Heterophilic Graphscited by 6
- 2023Clarify Confused Nodes via Separated Learningcited by 5
- 2024Heterophilic Graph Neural Networks Optimization with Causal Message-passingcited by 4
5 more
- 2025GraphSOS: Graph Sampling and Order Selection to Help LLMs Understand Graphs Bettercited by 4
- 2023CAT: A Causally Graph Attention Network for Trimming Heterophilic Graphcited by 2
- 2024Edge-Splitting MLP: Node Classification on Homophilic and Heterophilic Graphs without Message Passingcited by 2
- 2023ElegansNet: a brief scientific report and initial experimentscited by 0
- 2026Poisoning the Inner Prediction Logic of Graph Neural Networks for Clean-Label Backdoor Attackscited by 0
- 2026Poisoning the Inner Prediction Logic of Graph Neural Networks for Clean-Label Backdoor Attacks5 Mar 2026
- 2025GraphSOS: Graph Sampling and Order Selection to Help LLMs Understand Graphs Better24 Jan 2025
- 2024Edge-Splitting MLP: Node Classification on Homophilic and Heterophilic Graphs without Message Passing11 Dec 2024
- 2024Heterophilic Graph Neural Networks Optimization with Causal Message-passing21 Nov 2024
- 2024The Heterophilic Snowflake Hypothesis: Training and Empowering GNNs for Heterophilic Graphs18 Jun 2024
- 2024Robustness Inspired Graph Backdoor Defense14 Jun 2024
- 2024Sign is Not a Remedy: Multiset-to-Multiset Message Passing for Learning on Heterophilic Graphs31 May 2024
- 2024AdaFGL: A New Paradigm for Federated Node Classification with Topology Heterogeneity22 Jan 2024
- 2023CAT: A Causally Graph Attention Network for Trimming Heterophilic Graph14 Dec 2023
- 2023Breaking the Entanglement of Homophily and Heterophily in Semi-supervised Node Classification7 Dec 2023
- 2023Shape-aware Graph Spectral Learning16 Oct 2023
- 2023Spatial Heterophily Aware Graph Neural Networks21 Jun 2023
5 more
- 2023A Unified Framework of Graph Information Bottleneck for Robustness and Membership Privacy14 Jun 2023
- 2023Clarify Confused Nodes via Separated Learning4 Jun 2023
- 2023ElegansNet: a brief scientific report and initial experiments6 Apr 2023
- 2023Unnoticeable Backdoor Attacks on Graph Neural Networks11 Feb 2023
- 2022Graph Neural Networks for Graphs with Heterophily: A Survey14 Feb 2022
- 2022Graph Neural Networks for Graphs with Heterophily: A Surveycited by 175
- 2023Unnoticeable Backdoor Attacks on Graph Neural Networkscited by 45
- 2024AdaFGL: A New Paradigm for Federated Node Classification with Topology Heterogeneitycited by 25
- 2023Breaking the Entanglement of Homophily and Heterophily in Semi-supervised Node Classificationcited by 19
- 2023A Unified Framework of Graph Information Bottleneck for Robustness and Membership Privacycited by 14
- 2024Sign is Not a Remedy: Multiset-to-Multiset Message Passing for Learning on Heterophilic Graphscited by 8
- 2023Spatial Heterophily Aware Graph Neural Networkscited by 7
- 2024Robustness Inspired Graph Backdoor Defensecited by 7
- 2023Shape-aware Graph Spectral Learningcited by 6
- 2024The Heterophilic Snowflake Hypothesis: Training and Empowering GNNs for Heterophilic Graphscited by 6
- 2023Clarify Confused Nodes via Separated Learningcited by 5
- 2024Heterophilic Graph Neural Networks Optimization with Causal Message-passingcited by 4
12 most cited of 17 All 17 (JSON)
- 2026Poisoning the Inner Prediction Logic of Graph Neural Networks for Clean-Label Backdoor Attacks5 Mar 2026
- 2025GraphSOS: Graph Sampling and Order Selection to Help LLMs Understand Graphs Better24 Jan 2025
- 2024Edge-Splitting MLP: Node Classification on Homophilic and Heterophilic Graphs without Message Passing11 Dec 2024
- 2024Heterophilic Graph Neural Networks Optimization with Causal Message-passing21 Nov 2024
- 2024The Heterophilic Snowflake Hypothesis: Training and Empowering GNNs for Heterophilic Graphs18 Jun 2024
- 2024Robustness Inspired Graph Backdoor Defense14 Jun 2024
- 2024Sign is Not a Remedy: Multiset-to-Multiset Message Passing for Learning on Heterophilic Graphs31 May 2024
- 2024AdaFGL: A New Paradigm for Federated Node Classification with Topology Heterogeneity22 Jan 2024
- 2023CAT: A Causally Graph Attention Network for Trimming Heterophilic Graph14 Dec 2023
- 2023Breaking the Entanglement of Homophily and Heterophily in Semi-supervised Node Classification7 Dec 2023
- 2023Shape-aware Graph Spectral Learning16 Oct 2023
- 2023Spatial Heterophily Aware Graph Neural Networks21 Jun 2023
12 newest of 17 All 17 (JSON)