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Byzantine-Robust Distributed Learning: Towards Optimal Statistical Rates
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace mean aggregation with coordinate-wise median aggregation of worker gradients | distributed GD with 5% Byzantine machines · MNIST logistic regression, m=40 | test accuracy (%): 76.8 -> 87.2 | Helped |
| Replace mean aggregation with coordinate-wise trimmed mean (beta=0.05) of worker gradients | distributed GD with 5% Byzantine machines · MNIST logistic regression, m=40 | test accuracy (%): 76.8 -> 86.9 | Helped |
| Replace mean aggregation with coordinate-wise median aggregation | distributed GD with 10% Byzantine machines · MNIST CNN, m=10 | test accuracy (%): 77.3 -> 87.4 | Helped |
| Replace mean aggregation with coordinate-wise trimmed mean (beta=0.1) | distributed GD with 10% Byzantine machines · MNIST CNN, m=10 | test accuracy (%): 77.3 -> 90.7 | Helped |
| Replace mean aggregation of local ERMs with coordinate-wise median (one-round) | one-round distributed algorithm with 10% Byzantine machines · MNIST logistic regression, m=10 | test accuracy (%): 83.7 -> 89.0 | Helped |
| Trimmed-mean GD achieves order-optimal rate vs median GD which has extra 1/n term (theory comparison) | robust distributed GD · strongly convex losses, theory | error rate | No clear effect |
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