NAFS: A Simple yet Tough-to-beat Baseline for Graph Representation Learning
Not on the map. Why?
Abstract (arXiv)
Recently, graph neural networks (GNNs) have shown prominent performance in graph representation learning by leveraging knowledge from both graph structure and node features. However, most of them have two major limitations. First, GNNs can learn higher-order structural information by stacking more layers but can not deal with large depth due to the over-smoothing issue. Second, it is not easy to apply these methods on large graphs due to the expensive computation cost and high memory usage. In this paper, we present node-adaptive feature smoothing (NAFS), a simple non-parametric method that constructs node representations without parameter learning. NAFS first extracts the features of each node with its neighbors of different hops by feature smoothing, and then adaptively combines the smoothed features. Besides, the constructed node representation can further be enhanced by the ensemble of smoothed features extracted via different smoothing strategies. We conduct experiments on four benchmark datasets on two different application scenarios: node clustering and link prediction. Remarkably, NAFS with feature ensemble outperforms the state-of-the-art GNNs on these tasks and mitigates the aforementioned two limitations of most learning-based GNN counterparts.
Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). Builds on 33 of its 51 references that are in the map. First posted on arXiv 17 Jun 2022.
Builds on
33 of 51 references.
References · 33
- 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
- 2017Graph Attention Networkscited by 8,854
- 2017Inductive Representation Learning on Large Graphscited by 6,284
- 2020Open Graph Benchmark: Datasets for Machine Learning on Graphscited by 2,148
- 2016node2vec: Scalable Feature Learning for Networkscited by 1,913
- 2014DeepWalk: Online Learning of Social Representationscited by 1,543
- 2019Simplifying Graph Convolutional Networkscited by 1,470
- 2016Variational Graph Auto-Encoderscited by 1,373
- 2018Deeper Insights into Graph Convolutional Networks for Semi-Supervised Learningcited by 1,099
- 2018Predict then Propagate: Graph Neural Networks meet Personalized PageRankcited by 987
- 2016Revisiting Semi-Supervised Learning with Graph Embeddingscited by 970
- 2018Representation Learning on Graphs with Jumping Knowledge Networkscited by 875
21 more
- 2019GraphSAINT: Graph Sampling Based Inductive Learning Methodcited by 618
- 2018FastGCN: Fast Learning with Graph Convolutional Networks via Importance Samplingcited by 583
- 2015LINE: Large-scale Information Network Embeddingcited by 582
- 2020Graph Neural Networks in Recommender Systems: A Surveycited by 493
- 2019Diffusion Improves Graph Learningcited by 414
- 2020Towards Deeper Graph Neural Networkscited by 296
- 2020SIGN: Scalable Inception Graph Neural Networkscited by 283
- 2020Combining Label Propagation and Simple Models Out-performs Graph Neural Networkscited by 199
- 2020Scaling Graph Neural Networks with Approximate PageRankcited by 174
- 2019Attributed Graph Clustering: A Deep Attentional Embedding Approachcited by 149
- 2019Attributed Graph Clustering via Adaptive Graph Convolutioncited by 96
- 2019Symmetric Graph Convolutional Autoencoder for Unsupervised Graph Representation Learningcited by 94
- 2020Adaptive Graph Encoder for Attributed Graph Embeddingcited by 88
- 2020Scalable Graph Neural Networks via Bidirectional Propagationcited by 87
- 2022Graph Attention Multi-Layer Perceptroncited by 82
- 2018MotifNet: a motif-based Graph Convolutional Network for directed graphscited by 63
- 2021OpenBox: A Generalized Black-box Optimization Servicecited by 46
- 2021Node Dependent Local Smoothing for Scalable Graph Learningcited by 45
- 2022PaSca: a Graph Neural Architecture Search System under the Scalable Paradigmcited by 37
- 2021Evaluating Deep Graph Neural Networkscited by 19
- 2022ZOOMER: Boosting Retrieval on Web-scale Graphs by Regions of Interestcited by 4
Built on by
Citing papers per year: 2022: 2; 2023: 2; 2024: 3; 2025: 1; 2026: 3.
11 papers.
- 2024Graph Condensation: A Surveycited by 23
- 2023Accelerating Scalable Graph Neural Network Inference with Node-Adaptive Propagationcited by 8
- 2022Efficient Graph Neural Network Inference at Large Scalecited by 7
- 2024Molecular Topological Profile (MOLTOP) -- Simple and Strong Baseline for Molecular Graph Classificationcited by 7
- 2023Structure-Aware Group Discrimination with Adaptive-View Graph Encoder: A Fast Graph Contrastive Learning Frameworkcited by 1
- 2022Rethinking the positive role of cluster structure in complex networks for link prediction taskscited by 0
- 2024Acceleration Algorithms in GNNs: A Surveycited by 0
- 2025Toward Data-centric Directed Graph Learning: An Entropy-driven Approachcited by 0
- 2026AdvSynGNN: Structure-Adaptive Graph Neural Nets via Adversarial Synthesis and Self-Corrective Propagationcited by 0
- 2026Beyond the Academic Monoculture: A Unified Framework and Industrial Perspective for Attributed Graph Clusteringcited by 0
- 2026SMGFM: Spectral Multimodal Graph Pretraining for Multimodal-Attributed Graphscited by 0
- 2026SMGFM: Spectral Multimodal Graph Pretraining for Multimodal-Attributed Graphs11 Jun 2026
- 2026Beyond the Academic Monoculture: A Unified Framework and Industrial Perspective for Attributed Graph Clustering21 Mar 2026
- 2026AdvSynGNN: Structure-Adaptive Graph Neural Nets via Adversarial Synthesis and Self-Corrective Propagation19 Feb 2026
- 2025Toward Data-centric Directed Graph Learning: An Entropy-driven Approach2 May 2025
- 2024Molecular Topological Profile (MOLTOP) -- Simple and Strong Baseline for Molecular Graph Classification16 Jul 2024
- 2024Acceleration Algorithms in GNNs: A Survey7 May 2024
- 2024Graph Condensation: A Survey22 Jan 2024
- 2023Accelerating Scalable Graph Neural Network Inference with Node-Adaptive Propagation17 Oct 2023
- 2023Structure-Aware Group Discrimination with Adaptive-View Graph Encoder: A Fast Graph Contrastive Learning Framework9 Mar 2023
- 2022Rethinking the positive role of cluster structure in complex networks for link prediction tasks4 Nov 2022
- 2022Efficient Graph Neural Network Inference at Large Scale1 Nov 2022