mlsanityData to 7 Oct 2026

Model Degradation Hinders Deep Graph Neural Networks

arXiv 2206.04361 ↗First posted 9 Jun 2022cs.LGcited by 26

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Abstract (arXiv)

Graph Neural Networks (GNNs) have achieved great success in various graph mining tasks.However, drastic performance degradation is always observed when a GNN is stacked with many layers. As a result, most GNNs only have shallow architectures, which limits their expressive power and exploitation of deep neighborhoods.Most recent studies attribute the performance degradation of deep GNNs to the textitover-smoothing issue. In this paper, we disentangle the conventional graph convolution operation into two independent operations: textitPropagation (P) and textitTransformation (T).Following this, the depth of a GNN can be split into the propagation depth (Dp) and the transformation depth (Dt). Through extensive experiments, we find that the major cause for the performance degradation of deep GNNs is the textitmodel degradation issue caused by large Dt rather than the textitover-smoothing issue mainly caused by large Dp. Further, we present textitAdaptive Initial Residual (AIR), a plug-and-play module compatible with all kinds of GNN architectures, to alleviate the textitmodel degradation issue and the textitover-smoothing issue simultaneously. Experimental results on six real-world datasets demonstrate that GNNs equipped with AIR outperform most GNNs with shallow architectures owing to the benefits of both large Dp and Dt, while the time costs associated with AIR can be ignored.

Key facts. Cited by 26 papers in the map (data through 7 Oct 2026). Builds on 45 of its 57 references that are in the map. First posted on arXiv 9 Jun 2022.

Builds on

45 of 57 references.

References · 45

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  2. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
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33 more
  1. 2018Weisfeiler and Leman Go Neural: Higher-order Graph Neural Networkscited by 878
  2. 2018Representation Learning on Graphs with Jumping Knowledge Networkscited by 875
  3. 2020Simple and Deep Graph Convolutional Networkscited by 857
  4. 2019DropEdge: Towards Deep Graph Convolutional Networks on Node Classificationcited by 679
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  6. 2020Adaptive Universal Generalized PageRank Graph Neural Networkcited by 592
  7. 2019Measuring and Relieving the Over-smoothing Problem for Graph Neural Networks from the Topological Viewcited by 544
  8. 2019DeepGCNs: Can GCNs Go as Deep as CNNs?cited by 527
  9. 2020Graph Neural Networks in Recommender Systems: A Surveycited by 493
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  11. 2019PairNorm: Tackling Oversmoothing in GNNscited by 297
  12. 2020Towards Deeper Graph Neural Networkscited by 296
  13. 2020SIGN: Scalable Inception Graph Neural Networkscited by 283
  14. 2019Revisiting Graph Neural Networks: All We Have is Low-Pass Filterscited by 260
  15. 2020A Note on Over-Smoothing for Graph Neural Networkscited by 245
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  17. 2021Two Sides of the Same Coin: Heterophily and Oversmoothing in Graph Convolutional Neural Networkscited by 182
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  21. 2020Distilling Knowledge from Graph Convolutional Networkscited by 128
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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 2; 2023: 9; 2024: 8; 2025: 6; 2026: 1.

26 papers.

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  1. 2023Learning Strong Graph Neural Networks with Weak Informationcited by 25
  2. 2023Towards Deep Attention in Graph Neural Networks: Problems and Remediescited by 24
  3. 2023Breaking the Entanglement of Homophily and Heterophily in Semi-supervised Node Classificationcited by 19
  4. 2025Oversmoothing, Oversquashing, Heterophily, Long-Range, and more: Demystifying Common Beliefs in Graph Machine Learningcited by 18
  5. 2025Uncertainty-Aware Graph Neural Networks: A Multi-Hop Evidence Fusion Approachcited by 14
  6. 2023Decoupled Local Aggregation for Point Cloud Learningcited by 12
  7. 2024Noise-Resilient Unsupervised Graph Representation Learning via Multi-Hop Feature Quality Estimationcited by 11
  8. 2024Mitigating Oversmoothing Through Reverse Process of GNNs for Heterophilic Graphscited by 10
  9. 2024Beyond Over-smoothing: Uncovering the Trainability Challenges in Deep Graph Neural Networkscited by 10
  10. 2025FreeGAD: A Training-Free yet Effective Approach for Graph Anomaly Detectioncited by 10
  11. 2023Are GATs Out of Balance?cited by 9
  12. 2023Neighborhood Homophily-based Graph Convolutional Networkcited by 7
14 more
  1. 2022Clenshaw Graph Neural Networkscited by 5
  2. 2023Clarify Confused Nodes via Separated Learningcited by 5
  3. 2024Mixture of Experts Meets Decoupled Message Passing: Towards General and Adaptive Node Classificationcited by 4
  4. 2025IceBerg: Debiased Self-Training for Class-Imbalanced Node Classificationcited by 4
  5. 2025The Oversmoothing Fallacy: A Misguided Narrative in GNN Researchcited by 3
  6. 2022Self-supervised Representation Learning on Electronic Health Records with Graph Kernel Infomaxcited by 2
  7. 2023River of No Return: Graph Percolation Embeddings for Efficient Knowledge Graph Reasoningcited by 2
  8. 2024TSC: A Simple Two-Sided Constraint against Over-Smoothingcited by 2
  9. 2024Taming Gradient Oversmoothing and Expansion in Graph Neural Networkscited by 2
  10. 2025Graph Wave Networkscited by 2
  11. 2023A Model-Agnostic Graph Neural Network for Integrating Local and Global Informationcited by 1
  12. 2024Mixture of Scope Experts at Test: Generalizing Deeper Graph Neural Networks with Shallow Variantscited by 1
  13. 2026Multi-Label Node Classification with Label Influence Propagationcited by 1
  14. 2024GEN: A Practical Alternative to Graph Transformers for Long-Range Graph Modelingcited by 0