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Training Robust Graph Neural Networks by Modeling Noise Dependencies
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Introduces dependency-aware noise on graphs (DANG), where feature noise propagates to structure and labels, and proposes DA-GNN, a variational deep generative robust GNN with new Auto/Garden DANG benchmarks.
Problem
Robust GNN training under node feature noise that propagates to graph structure and node labels, a setting not covered by existing methods that assume at least one clean data source (independent feature noise assumption).
Approach
Models the data generating process of DANG (X causes A and Y; epsilon causes X and A; Z_Y and Z_A latent clean labels and structure) with a variational ELBO, instantiated via GCN-based encoders/decoders, edge reconstruction with label smoothing, a homophily regularizer, and small-loss estimation of clean edges.
Key results
- On synthetic DANG-50% Cora, DA-GNN reaches 69.7% accuracy vs 66.4% for the next best (ProGNN).
- On real-world Auto link prediction under DANG, DA-GNN gets 73.6 ROC-AUC vs 74.8 for GraphGLOW (best), i.e. DA-GNN is not best there.
- On Garden node classification under DANG, DA-GNN ties SG-GSR at 80.2%.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| model the DANG causal relationships with DA-GNN rather than use the baselines | node classification on synthetic DANG · Cora, Citeseer, Photo, Computers, and Arxiv, DANG-10%, DANG-30%, and DANG-50% | accuracy | Helped |
| use DA-GNN rather than the strongest baseline | node classification on real-world DANG · Auto + DANG | accuracy: 62.0±1.1 vs 61.4±0.4 | No clear effect |
| use DA-GNN rather than the strongest baseline | link prediction on real-world DANG · Auto + DANG | ROC-AUC: 74.8±0.2 vs 73.6±0.6 | Hurt |
| use DA-GNN rather than the strongest baseline | node classification on real-world DANG · Garden + DANG | accuracy: 80.2±0.4 vs 80.2±0.8 | No clear effect |
| use DA-GNN rather than the strongest baseline | link prediction on real-world DANG · Garden + DANG | ROC-AUC: 91.2±0.5 -> 92.4±0.4 | Helped |
| remove the Y ← (X,A) causal relationship (ablation) | DA-GNN · DANG node classification | accuracy | Hurt |
| remove the A ← X causal relationship (ablation) | DA-GNN · DANG node classification | accuracy | Hurt |
| remove the A ← ε causal relationship (ablation) | DA-GNN · DANG node classification | accuracy | Hurt |
Surprising findings
- Under DANG on Auto link prediction, GraphGLOW (74.8) outperforms DA-GNN (73.6), contrary to the claim of consistent superiority.
Limitations
- Does not model X <- A (structure noise causing feature noise), so not all noise scenarios covered.
- Relies on assumption that label noise arises from features and structure rather than external factors (epsilon not a cause of Y).
- Some baselines (e.g., on Arxiv) run out of memory, and DA-GNN has hyperparameters like k requiring tuning.
Experimental setup
Datasets: Cora Citeseer Amazon Photo Amazon Computers ogbn-arxiv Amazon Auto Amazon Garden PolitiFact
Benchmarks: Cora Citeseer Photo Computers Arxiv Auto Garden
Metrics: accuracy ROC-AUC
Baselines: WSGNN GraphGLOW AirGNN ProGNN RSGNN STABLE EvenNet NRGNN RTGNN SG-GSR
Builds on: variational autoencoder CausalNL small-loss approach GCN
Closest papers by meaning
- A Simple and Yet Fairly Effective Defense for Graph Neural Networks (AAAI 2024 · similarity 0.89)
- NoisyGL: A Comprehensive Benchmark for Graph Neural Networks under Label Noise (NeurIPS 2024 · similarity 0.89)
- Learn Beneficial Noise as Graph Augmentation (ICML 2025 · similarity 0.88)
- Accurate and Scalable Estimation of Epistemic Uncertainty for Graph Neural Networks (ICLR 2024 · similarity 0.88)
- NoiseHGNN: Synthesized Similarity Graph-Based Neural Network for Noised Heterogeneous Graph Representation Learning (AAAI 2025 · similarity 0.87)
- Bounding the Expected Robustness of Graph Neural Networks Subject to Node Feature Attacks (ICLR 2024 · similarity 0.87)
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