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Rethinking Byzantine Robustness in Federated Recommendation from Sparse Aggregation Perspective
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Studies Byzantine robustness of federated recommendation under sparse per-item aggregation and proposes Spattack, a family of four attacks (omniscient/non-omniscient × all-items/limited-items) that breaks Mean, Median, Norm and other defenses on FedMF and FedGNN.
Problem
Byzantine robustness of federated recommender systems is unexplored because item embeddings are updated sparsely by only the clients that interact with them, so dense-aggregation defenses and attacks do not transfer, leaving tail items vulnerable.
Approach
Treat aggregation per single item as the smallest unit, show tail items have low effective breakdown points under power-law degree distributions, and design attacks that send gradients opposite to benign ones (or Gaussian noise) across all or a sampled subset of items per malicious client.
Key results
- Under 3% malicious clients, Spattack reduces HR@5 by 47%-98% across datasets, outperforming baselines such as LIE, Cluster and Fang.
- With 5% malicious clients, Spattack-O-S/D under Median and Norm defenses degrades ML100K HR@5 by roughly 53%-85%, showing defenses break on tail items.
- On FedGNN with 10% malicious clients, the attack dramatically lowers performance, with Median-based defense showing particularly strong degradation.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Apply Spattack-L-S | FedMF · ML100K | HR@5: 0.2513 -> 0.1018 | Hurt |
| Apply Spattack-L-D | FedMF · ML100K | HR@5: 0.2513 -> 0.0721 | Hurt |
| Apply Spattack-O-S | FedMF · ML100K | HR@5: 0.2513 -> 0.0594 | Hurt |
| Apply Spattack-O-D | FedMF · ML100K | HR@5: 0.2513 -> 0.0530 | Hurt |
| Apply Spattack-L-S | FedMF · ML1M | HR@5: 0.3121 -> 0.1007 | Hurt |
| Apply Spattack-L-D | FedMF · ML1M | HR@5: 0.3121 -> 0.0921 | Hurt |
| Apply Spattack-O-S | FedMF · ML1M | HR@5: 0.3121 -> 0.0925 | Hurt |
| Apply Spattack-O-D | FedMF · ML1M | HR@5: 0.3121 -> 0.0907 | Hurt |
| Apply Spattack-L-S | FedMF · Steam | HR@5: 0.5729 -> 0.0426 | Hurt |
| Apply Spattack-L-D | FedMF · Steam | HR@5: 0.5729 -> 0.0139 | Hurt |
| Apply Spattack-O-S | FedMF · Steam | HR@5: 0.5729 -> 0.0671 | Hurt |
| Apply Spattack-O-D | FedMF · Steam | HR@5: 0.5729 -> 0.0685 | Hurt |
Surprising findings
- Random Gaussian noise (Spattack-L-D) alone can break Median-based defenses on tail items, so hiding benign gradients does not protect FR.
- Median defense can perform worse than the no-defense Mean aggregator for some attacks, with Median and Norm frequently failing under Spattack.
Limitations
- Attacks assume collusion and identical malicious gradients across clients in several variants.
- Experiments limited to MF-based FedMF and a 2-layer FedGNN on three datasets with 32-dimensional embeddings.
Experimental setup
Datasets: ML100K ML1M Steam
Benchmarks: ML100K ML1M Steam
Metrics: HR@5 nDCG@5 HR@10 nDCG@10
Baselines: LabelFlip FedAttack Gaussian LIE Cluster Fang Mean Median Trimmed-mean Krum Norm
Builds on: FedMF FedGNN Byzantine-robust aggregation (Median, Krum, Trimmed-mean) BPR
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