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Training Robust Graph Neural Networks by Modeling Noise Dependencies

NeurIPS 2025 · Graph learning › GNN architectures · approach: Graph structure learning · 1 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
model the DANG causal relationships with DA-GNN rather than use the baselinesnode classification on synthetic DANG · Cora, Citeseer, Photo, Computers, and Arxiv, DANG-10%, DANG-30%, and DANG-50%accuracyHelped
use DA-GNN rather than the strongest baselinenode classification on real-world DANG · Auto + DANGaccuracy: 62.0±1.1 vs 61.4±0.4No clear effect
use DA-GNN rather than the strongest baselinelink prediction on real-world DANG · Auto + DANGROC-AUC: 74.8±0.2 vs 73.6±0.6Hurt
use DA-GNN rather than the strongest baselinenode classification on real-world DANG · Garden + DANGaccuracy: 80.2±0.4 vs 80.2±0.8No clear effect
use DA-GNN rather than the strongest baselinelink prediction on real-world DANG · Garden + DANGROC-AUC: 91.2±0.5 -> 92.4±0.4Helped
remove the Y ← (X,A) causal relationship (ablation)DA-GNN · DANG node classificationaccuracyHurt
remove the A ← X causal relationship (ablation)DA-GNN · DANG node classificationaccuracyHurt
remove the A ← ε causal relationship (ablation)DA-GNN · DANG node classificationaccuracyHurt

Surprising findings

Limitations

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

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