Robust Optimization as Data Augmentation for Large-scale Graphs
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Abstract (arXiv)
Data augmentation helps neural networks generalize better by enlarging the training set, but it remains an open question how to effectively augment graph data to enhance the performance of GNNs (Graph Neural Networks). While most existing graph regularizers focus on manipulating graph topological structures by adding/removing edges, we offer a method to augment node features for better performance. We propose FLAG (Free Large-scale Adversarial Augmentation on Graphs), which iteratively augments node features with gradient-based adversarial perturbations during training. By making the model invariant to small fluctuations in input data, our method helps models generalize to out-of-distribution samples and boosts model performance at test time. FLAG is a general-purpose approach for graph data, which universally works in node classification, link prediction, and graph classification tasks. FLAG is also highly flexible and scalable, and is deployable with arbitrary GNN backbones and large-scale datasets. We demonstrate the efficacy and stability of our method through extensive experiments and ablation studies. We also provide intuitive observations for a deeper understanding of our method.
Key facts. Cited by 58 papers in the map (data through 7 Oct 2026). First posted on arXiv 19 Oct 2020.
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Citing papers per year: 2022: 7; 2023: 23; 2024: 12; 2025: 11; 2026: 5.
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- 2023NEFTune: Noisy Embeddings Improve Instruction Finetuningcited by 99
- 2022Out-Of-Distribution Generalization on Graphs: A Surveycited by 97
- 2022Graph Data Augmentation for Graph Machine Learning: A Surveycited by 61
- 2023CoCo: A Coupled Contrastive Framework for Unsupervised Domain Adaptive Graph Classificationcited by 46
- 2022Unleashing the Power of Graph Data Augmentation on Covariate Distribution Shiftcited by 38
- 2023Data-Centric Learning from Unlabeled Graphs with Diffusion Modelcited by 19
- 2023GraphMETRO: Mitigating Complex Graph Distribution Shifts via Mixture of Aligned Expertscited by 19
- 2023Dynamic Graph Representation Learning with Neural Networks: A Surveycited by 15
- 2023PTP: Boosting Stability and Performance of Prompt Tuning with Perturbation-Based Regularizercited by 15
- 2023Towards Data-centric Graph Machine Learning: Review and Outlookcited by 15
- 2024Pre-training with Fractional Denoising to Enhance Molecular Property Predictioncited by 14
- 2025ResearchCodeAgent: An LLM Multi-Agent System for Automated Codification of Research Methodologiescited by 14
38 more
- 2023Half-Hop: A graph upsampling approach for slowing down message passingcited by 13
- 2022Adversarial Camouflage for Node Injection Attack on Graphscited by 11
- 2022Data Augmentation on Graphs: A Technical Surveycited by 10
- 2023Graph Structure and Feature Extrapolation for Out-of-Distribution Generalizationcited by 10
- 2023Graph Out-of-Distribution Generalization with Controllable Data Augmentationcited by 9
- 2024Slight Corruption in Pre-training Data Makes Better Diffusion Modelscited by 9
- 2024Cross-Domain Graph Data Scaling: A Showcase with Diffusion Modelscited by 8
- 2023Multi-task Bioassay Pre-training for Protein-ligand Binding Affinity Predictioncited by 7
- 2023MARIO: Model Agnostic Recipe for Improving OOD Generalization of Graph Contrastive Learningcited by 7
- 2024ADEdgeDrop: Adversarial Edge Dropping for Robust Graph Neural Networkscited by 7
- 2024Counterfactual Data Augmentation with Denoising Diffusion for Graph Anomaly Detectioncited by 7
- 2022Towards Better Generalization with Flexible Representation of Multi-Module Graph Neural Networkscited by 4
- 2023Tokenized Graph Transformer with Neighborhood Augmentation for Node Classification in Large Graphscited by 4
- 2023IDEA: Invariant Defense for Graph Adversarial Robustnesscited by 4
- 2023SymNoise: Advancing Language Model Fine-tuning with Symmetric Noisecited by 4
- 2024FraGNNet: A Deep Probabilistic Model for Tandem Mass Spectrum Predictioncited by 4
- 2024IntraMix: Intra-Class Mixup Generation for Accurate Labels and Neighborscited by 4
- 2024MLDGG: Meta-Learning for Domain Generalization on Graphscited by 4
- 2025Diffusion on Graph: Augmentation of Graph Structure for Node Classificationcited by 4
- 2023EPIC: Graph Augmentation with Edit Path Interpolation via Learnable Costcited by 3
- 2023Structural Node Embeddings with Homomorphism Countscited by 3
- 2024PASCL: Supervised Contrastive Learning with Perturbative Augmentation for Particle Decay Reconstructioncited by 3
- 2024Graphs Generalization under Distribution Shiftscited by 3
- 2025Causal invariant geographic network representations with feature and structural distribution shiftscited by 3
- 2025Pruning Spurious Subgraphs for Graph Out-of-Distribution Generalizationcited by 3
- 2022From Static to Dynamic Structures: Improving Binding Affinity Prediction with Graph-Based Deep Learningcited by 2
- 2023Graph Adversarial Immunization for Certifiable Robustnesscited by 2
- 2024Invariant Graph Learning Meets Information Bottleneck for Out-of-Distribution Generalizationcited by 2
- 2025Evolving Graph Learning for Out-of-Distribution Generalization in Non-stationary Environmentscited by 2
- 2023Centrality-Based Node Feature Augmentation for Robust Network Alignmentcited by 1
- 2023Benchmarking Toxic Molecule Classification using Graph Neural Networks and Few Shot Learningcited by 1
- 2023Towards Human-like Perception: Learning Structural Causal Model in Heterogeneous Graphcited by 1
- 2025More Reliable Pseudo-labels, Better Performance: A Generalized Approach to Single Positive Multi-label Learningcited by 1
- 2025Learning Invariant Graph Representations Through Redundant Informationcited by 1
- 2023Unleashing the potential of GNNs via Bi-directional Knowledge Transfercited by 0
- 2023Exploring Graph Classification Techniques Under Low Data Constraints: A Comprehensive Studycited by 0
- 2024Graph in Graph Neural Networkcited by 0
- 2025Scaffold-Aware Generative Augmentation and Reranking for Enhanced Virtual Screeningcited by 0
50 most cited of 58 All 58 (JSON)
- 2026Morphological Decoupling-Based Skeletal Classification for Clinical Assessment of Malocclusion9 Sep 2026
- 2026GJDNet: Robust Graph Neural Networks via Joint Disentangled Learning Against Adversarial Attacks1 Jun 2026
- 2026Understanding and Improving Noisy Embedding Techniques in Instruction Finetuning22 May 2026
- 2026Model-to-Data Distillation for Graph Neural Networks7 May 2026
- 2026Learning Discriminative and Generalizable Anomaly Detector for Dynamic Graph with Limited Supervision23 Feb 2026
- 2025Learning Invariant Graph Representations Through Redundant Information5 Dec 2025
- 2025Graph Data Augmentation with Contrastive Learning on Covariate Distribution Shift30 Nov 2025
- 2025A Probabilistic Framework for Temporal Distribution Generalization in Industry-Scale Recommender Systems26 Nov 2025
- 2025DeNoise: Learning Robust Graph Representations for Unsupervised Graph-Level Anomaly Detection6 Nov 2025
- 2025Evolving Graph Learning for Out-of-Distribution Generalization in Non-stationary Environments4 Nov 2025
- 2025Scaffold-Aware Generative Augmentation and Reranking for Enhanced Virtual Screening18 Oct 2025
- 2025More Reliable Pseudo-labels, Better Performance: A Generalized Approach to Single Positive Multi-label Learning28 Aug 2025
38 more
- 2025Pruning Spurious Subgraphs for Graph Out-of-Distribution Generalization6 Jun 2025
- 2025ResearchCodeAgent: An LLM Multi-Agent System for Automated Codification of Research Methodologies28 Apr 2025
- 2025Causal invariant geographic network representations with feature and structural distribution shifts25 Mar 2025
- 2025Diffusion on Graph: Augmentation of Graph Structure for Node Classification16 Mar 2025
- 2024MLDGG: Meta-Learning for Domain Generalization on Graphs19 Nov 2024
- 2024Invariant Graph Learning Meets Information Bottleneck for Out-of-Distribution Generalization3 Aug 2024
- 2024Pre-training with Fractional Denoising to Enhance Molecular Property Prediction14 Jul 2024
- 2024Counterfactual Data Augmentation with Denoising Diffusion for Graph Anomaly Detection2 Jul 2024
- 2024Graph in Graph Neural Network30 Jun 2024
- 2024Cross-Domain Graph Data Scaling: A Showcase with Diffusion Models4 Jun 2024
- 2024Slight Corruption in Pre-training Data Makes Better Diffusion Models30 May 2024
- 2024IntraMix: Intra-Class Mixup Generation for Accurate Labels and Neighbors2 May 2024
- 2024FraGNNet: A Deep Probabilistic Model for Tandem Mass Spectrum Prediction2 Apr 2024
- 2024Graphs Generalization under Distribution Shifts25 Mar 2024
- 2024ADEdgeDrop: Adversarial Edge Dropping for Robust Graph Neural Networks14 Mar 2024
- 2024PASCL: Supervised Contrastive Learning with Perturbative Augmentation for Particle Decay Reconstruction18 Feb 2024
- 2023Towards Human-like Perception: Learning Structural Causal Model in Heterogeneous Graph10 Dec 2023
- 2023GraphMETRO: Mitigating Complex Graph Distribution Shifts via Mixture of Aligned Experts7 Dec 2023
- 2023SymNoise: Advancing Language Model Fine-tuning with Symmetric Noise3 Dec 2023
- 2023Benchmarking Toxic Molecule Classification using Graph Neural Networks and Few Shot Learning22 Nov 2023
- 2023Exploring Graph Classification Techniques Under Low Data Constraints: A Comprehensive Study21 Nov 2023
- 2023Unleashing the potential of GNNs via Bi-directional Knowledge Transfer26 Oct 2023
- 2023NEFTune: Noisy Embeddings Improve Instruction Finetuning9 Oct 2023
- 2023Towards Data-centric Graph Machine Learning: Review and Outlook20 Sep 2023
- 2023Structural Node Embeddings with Homomorphism Counts29 Aug 2023
- 2023Half-Hop: A graph upsampling approach for slowing down message passing17 Aug 2023
- 2023Graph Out-of-Distribution Generalization with Controllable Data Augmentation16 Aug 2023
- 2023MARIO: Model Agnostic Recipe for Improving OOD Generalization of Graph Contrastive Learning24 Jul 2023
- 2023Graph Structure and Feature Extrapolation for Out-of-Distribution Generalization13 Jun 2023
- 2023CoCo: A Coupled Contrastive Framework for Unsupervised Domain Adaptive Graph Classification8 Jun 2023
- 2023Multi-task Bioassay Pre-training for Protein-ligand Binding Affinity Prediction8 Jun 2023
- 2023EPIC: Graph Augmentation with Edit Path Interpolation via Learnable Cost2 Jun 2023
- 2023IDEA: Invariant Defense for Graph Adversarial Robustness25 May 2023
- 2023Tokenized Graph Transformer with Neighborhood Augmentation for Node Classification in Large Graphs22 May 2023
- 2023PTP: Boosting Stability and Performance of Prompt Tuning with Perturbation-Based Regularizer3 May 2023
- 2023Centrality-Based Node Feature Augmentation for Robust Network Alignment25 Apr 2023
- 2023Dynamic Graph Representation Learning with Neural Networks: A Survey12 Apr 2023
- 2023Data-Centric Learning from Unlabeled Graphs with Diffusion Model17 Mar 2023
50 newest of 58 All 58 (JSON)
- 2023Data-Centric Learning from Unlabeled Graphs with Diffusion Modelcited by 19
- 2024Slight Corruption in Pre-training Data Makes Better Diffusion Modelscited by 9
- 2024Cross-Domain Graph Data Scaling: A Showcase with Diffusion Modelscited by 8
- 2024Counterfactual Data Augmentation with Denoising Diffusion for Graph Anomaly Detectioncited by 7
- 2025Diffusion on Graph: Augmentation of Graph Structure for Node Classificationcited by 4
- 2025Diffusion on Graph: Augmentation of Graph Structure for Node Classification16 Mar 2025
- 2024Counterfactual Data Augmentation with Denoising Diffusion for Graph Anomaly Detection2 Jul 2024
- 2024Cross-Domain Graph Data Scaling: A Showcase with Diffusion Models4 Jun 2024
- 2024Slight Corruption in Pre-training Data Makes Better Diffusion Models30 May 2024
- 2023Data-Centric Learning from Unlabeled Graphs with Diffusion Model17 Mar 2023
- 2023NEFTune: Noisy Embeddings Improve Instruction Finetuningcited by 99
- 2022Out-Of-Distribution Generalization on Graphs: A Surveycited by 97
- 2022Graph Data Augmentation for Graph Machine Learning: A Surveycited by 61
- 2023CoCo: A Coupled Contrastive Framework for Unsupervised Domain Adaptive Graph Classificationcited by 46
- 2022Unleashing the Power of Graph Data Augmentation on Covariate Distribution Shiftcited by 38
- 2023Dynamic Graph Representation Learning with Neural Networks: A Surveycited by 15
- 2023PTP: Boosting Stability and Performance of Prompt Tuning with Perturbation-Based Regularizercited by 15
- 2023Towards Data-centric Graph Machine Learning: Review and Outlookcited by 15
- 2024Pre-training with Fractional Denoising to Enhance Molecular Property Predictioncited by 14
- 2023Half-Hop: A graph upsampling approach for slowing down message passingcited by 13
- 2022Adversarial Camouflage for Node Injection Attack on Graphscited by 11
- 2022Data Augmentation on Graphs: A Technical Surveycited by 10
12 most cited of 51 All 51 (JSON)
- 2026Morphological Decoupling-Based Skeletal Classification for Clinical Assessment of Malocclusion9 Sep 2026
- 2026GJDNet: Robust Graph Neural Networks via Joint Disentangled Learning Against Adversarial Attacks1 Jun 2026
- 2026Understanding and Improving Noisy Embedding Techniques in Instruction Finetuning22 May 2026
- 2026Model-to-Data Distillation for Graph Neural Networks7 May 2026
- 2026Learning Discriminative and Generalizable Anomaly Detector for Dynamic Graph with Limited Supervision23 Feb 2026
- 2025Learning Invariant Graph Representations Through Redundant Information5 Dec 2025
- 2025Graph Data Augmentation with Contrastive Learning on Covariate Distribution Shift30 Nov 2025
- 2025A Probabilistic Framework for Temporal Distribution Generalization in Industry-Scale Recommender Systems26 Nov 2025
- 2025DeNoise: Learning Robust Graph Representations for Unsupervised Graph-Level Anomaly Detection6 Nov 2025
- 2025Evolving Graph Learning for Out-of-Distribution Generalization in Non-stationary Environments4 Nov 2025
- 2025Scaffold-Aware Generative Augmentation and Reranking for Enhanced Virtual Screening18 Oct 2025
- 2025More Reliable Pseudo-labels, Better Performance: A Generalized Approach to Single Positive Multi-label Learning28 Aug 2025
12 newest of 51 All 51 (JSON)