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FedGOG: Federated Graph Out-of-Distribution Generalization with Diffusion Data Exploration and Latent Embedding Decorrelation
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Proposes FedGOG, a federated graph OOD generalization framework combining score-based graph diffusion for OOD data exploration with mutual-information-based decorrelation between invariant and spurious GNN embeddings.
Problem
Federated graph learning degrades under out-of-distribution shifts between training and testing graphs at each client, with limited and heterogeneous client data making invariant learning hard.
Approach
Clients jointly train global score-based graph diffusion models to sample controllable OOD graphs beyond local data (DDE), and each client trains a global invariant GNN and a personalized spurious GNN whose latent embeddings are decorrelated via a mutual information estimate (LED).
Key results
- FedGOG reaches 40.74% on CMNIST (alpha=0.1) vs 20.40% for FedAvg and 35.11% for Fed-LECI, the strongest baseline there.
- FedGOG attains 59.65% on Motif (alpha=0.1) vs 53.09% for FedStar, and 73.69% on Motif (alpha=5.0) vs 71.46% for FedStar.
- Ablation on CMNIST (alpha=0.1): removing LED drops accuracy to 29.44%, removing DDE to 37.41%, full model 40.74%.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use FedGOG instead of the strongest listed baseline | Federated graph classification · Motif, α=0.1 (class heterogeneity) | accuracy: 53.09±0.41 -> 59.65±1.04 | Helped |
| Use FedGOG instead of the strongest listed baseline | Federated graph classification · CMNIST, α=0.1 (class heterogeneity) | accuracy: 35.11±1.51 -> 40.74±0.45 | Helped |
| Use FedGOG instead of the strongest listed baseline | Federated graph classification · HIV, α=0.1 (class heterogeneity) | accuracy: 63.05±0.47 -> 64.26±0.80 | Helped |
| Use FedGOG instead of the strongest listed baseline | Federated graph classification · LBAPcore, α=0.1 (class heterogeneity) | accuracy: 67.24±0.53 -> 70.66±0.39 | Helped |
| Use FedGOG instead of the strongest listed baseline | Federated graph classification · Twitter, α=0.1 (class heterogeneity) | accuracy: 53.57±0.39 -> 57.98±0.53 | Helped |
| Use FedGOG instead of the strongest listed baseline | Federated graph classification · SST2, α=0.1 (class heterogeneity) | accuracy: 59.98±2.17 -> 64.77±1.72 | Helped |
| Add diffusion data exploration (DDE) (ablation) | FedGOG · HIV, α=0.1 (class heterogeneity) | accuracy: 63.98±0.67 -> 64.26±0.80 | Helped |
| Add diffusion data exploration (DDE) (ablation) | FedGOG · HIV, α=5.0 (class heterogeneity) | accuracy: 66.27±0.52 -> 67.38±0.68 | Helped |
| Add diffusion data exploration (DDE) (ablation) | FedGOG · CMNIST, α=0.1 (class heterogeneity) | accuracy: 37.41±1.03 -> 40.74±0.45 | Helped |
| Add diffusion data exploration (DDE) (ablation) | FedGOG · CMNIST, α=5.0 (class heterogeneity) | accuracy: 52.17±0.21 -> 55.88±0.11 | Helped |
| Add latent embedding decorrelation (LED) (ablation) | FedGOG · HIV, α=0.1 (class heterogeneity) | accuracy: 62.59±1.12 -> 64.26±0.80 | Helped |
| Add latent embedding decorrelation (LED) (ablation) | FedGOG · HIV, α=5.0 (class heterogeneity) | accuracy: 64.02±0.76 -> 67.38±0.68 | Helped |
Surprising findings
- FedIIR, a federated OOD method from image classification, does not significantly outperform FedAvg in the FGL OOD setting.
- Centralized graph OOD methods mostly improve only on the simple Motif dataset and can underperform FedAvg on other datasets, e.g., Fed-GIL on LBAPcore at alpha=0.1.
Limitations
- Performance drops notably as the number of clients increases (Fig. 5), suggesting scalability limits.
- Sampling-based OOD exploration requires training and aggregating diffusion score models, adding communication and computation overhead.
- Reported results use only five random seeds and standard GIN backbones; generality to other GNN architectures is not explored.
Experimental setup
Datasets: Motif CMNIST LBAPcore HIV Twitter SST2
Benchmarks: Motif CMNIST LBAPcore HIV Twitter SST2
Metrics: accuracy
Baselines: FedAvg FedIIR Fed-DIR Fed-GIL Fed-LECI Fed-AIA GCFL FedStar
Builds on: FedAvg score-based diffusion (SDE) MINE (Donsker-Varadhan mutual information estimator) GOOD benchmark FedStar LECI
Closest papers by meaning
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- Towards Effective Federated Graph Foundation Model via Mitigating Knowledge Entanglement (NeurIPS 2025 · similarity 0.88)
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