mlsanityData to 7 Oct 2026

GRAND+: Scalable Graph Random Neural Networks

arXiv 2203.06389 ↗First posted 12 Mar 2022cs.LG cs.SIcited by 25

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Abstract (arXiv)

Graph neural networks (GNNs) have been widely adopted for semi-supervised learning on graphs. A recent study shows that the graph random neural network (GRAND) model can generate state-of-the-art performance for this problem. However, it is difficult for GRAND to handle large-scale graphs since its effectiveness relies on computationally expensive data augmentation procedures. In this work, we present a scalable and high-performance GNN framework GRAND+ for semi-supervised graph learning. To address the above issue, we develop a generalized forward push (GFPush) algorithm in GRAND+ to pre-compute a general propagation matrix and employ it to perform graph data augmentation in a mini-batch manner. We show that both the low time and space complexities of GFPush enable GRAND+ to efficiently scale to large graphs. Furthermore, we introduce a confidence-aware consistency loss into the model optimization of GRAND+, facilitating GRAND+'s generalization superiority. We conduct extensive experiments on seven public datasets of different sizes. The results demonstrate that GRAND+ 1) is able to scale to large graphs and costs less running time than existing scalable GNNs, and 2) can offer consistent accuracy improvements over both full-batch and scalable GNNs across all datasets.

Key facts. Cited by 25 papers in the map (data through 7 Oct 2026). Builds on 26 of its 32 references that are in the map. First posted on arXiv 12 Mar 2022.

Builds on

26 of 32 references.

References · 26

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
  3. 2017Graph Attention Networkscited by 8,854
  4. 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 6,979
  5. 2017Inductive Representation Learning on Large Graphscited by 6,284
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  10. 2018Deeper Insights into Graph Convolutional Networks for Semi-Supervised Learningcited by 1,099
  11. 2018Predict then Propagate: Graph Neural Networks meet Personalized PageRankcited by 987
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14 more
  1. 2020Simple and Deep Graph Convolutional Networkscited by 857
  2. 2019GraphSAINT: Graph Sampling Based Inductive Learning Methodcited by 618
  3. 2018FastGCN: Fast Learning with Graph Convolutional Networks via Importance Samplingcited by 583
  4. 2019Cluster-GCN: An Efficient Algorithm for Training Deep and Large Graph Convolutional Networkscited by 540
  5. 2019MixHop: Higher-Order Graph Convolutional Architectures via Sparsified Neighborhood Mixingcited by 442
  6. 2019Diffusion Improves Graph Learningcited by 414
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  12. 2019Optimizing Generalized PageRank Methods for Seed-Expansion Community Detectioncited by 35
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Citing papers per year: 2022: 5; 2023: 2; 2024: 11; 2025: 6; 2026: 1.

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  1. 2022NAGphormer: A Tokenized Graph Transformer for Node Classification in Large Graphscited by 137
  2. 2024FedGTA: Topology-aware Averaging for Federated Graph Learningcited by 44
  3. 2024VCR-Graphormer: A Mini-batch Graph Transformer via Virtual Connectionscited by 34
  4. 2024Unifying Generation and Prediction on Graphs with Latent Graph Diffusioncited by 24
  5. 2024Learning Graph Quantized Tokenizerscited by 19
  6. 2024Rethinking Node-wise Propagation for Large-scale Graph Learningcited by 16
  7. 2022RSC: Accelerating Graph Neural Networks Training via Randomized Sparse Computationscited by 12
  8. 2022MA-GCL: Model Augmentation Tricks for Graph Contrastive Learningcited by 10
  9. 2024A Comprehensive Benchmark on Spectral GNNs: The Impact on Efficiency, Memory, and Effectivenesscited by 6
  10. 2023Tokenized Graph Transformer with Neighborhood Augmentation for Node Classification in Large Graphscited by 4
  11. 2025Diffusion on Graph: Augmentation of Graph Structure for Node Classificationcited by 4
  12. 2022Label Efficient Regularization and Propagation for Graph Node Classificationcited by 3
13 more
  1. 2024Tokenphormer: Structure-aware Multi-token Graph Transformer for Node Classificationcited by 3
  2. 2023Neural Machine Translation with Dynamic Graph Convolutional Decodercited by 2
  3. 2024Unifying Graph Contrastive Learning via Graph Message Augmentationcited by 2
  4. 2024Infinite-Horizon Graph Filters: Leveraging Power Series to Enhance Sparse Information Aggregationcited by 2
  5. 2025Toward Scalable Graph Unlearning: A Node Influence Maximization based Approachcited by 2
  6. 2025ScaDyG:A New Paradigm for Large-scale Dynamic Graph Learningcited by 2
  7. 2025ScaleGNN: Towards Scalable Graph Neural Networks via Adaptive High-order Neighboring Feature Fusioncited by 2
  8. 2024Graph Contrastive Learning with Low-Rank Regularization and Low-Rank Attention for Noisy Node Classificationcited by 1
  9. 2022Trading off Quality for Efficiency of Community Detection: An Inductive Method across Graphscited by 0
  10. 2024Learning a Mini-batch Graph Transformer via Two-stage Interaction Augmentationcited by 0
  11. 2025DAM-GT: Dual Positional Encoding-Based Attention Masking Graph Transformer for Node Classificationcited by 0
  12. 2025CoATA: Effective Co-Augmentation of Topology and Attribute for Graph Neural Networkscited by 0
  13. 2026Graph Cascades: Contagion-Based Mesoscopic Rewiring for Structure-Aware Graph Machine Learningcited by 0