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Byzantine-Robust Distributed Learning: Towards Optimal Statistical Rates

ICML 2018 · Optimization › Distributed and compressed · approach: Byzantine-robust learning · 612 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace mean aggregation with coordinate-wise median aggregation of worker gradientsdistributed GD with 5% Byzantine machines · MNIST logistic regression, m=40test accuracy (%): 76.8 -> 87.2Helped
Replace mean aggregation with coordinate-wise trimmed mean (beta=0.05) of worker gradientsdistributed GD with 5% Byzantine machines · MNIST logistic regression, m=40test accuracy (%): 76.8 -> 86.9Helped
Replace mean aggregation with coordinate-wise median aggregationdistributed GD with 10% Byzantine machines · MNIST CNN, m=10test accuracy (%): 77.3 -> 87.4Helped
Replace mean aggregation with coordinate-wise trimmed mean (beta=0.1)distributed GD with 10% Byzantine machines · MNIST CNN, m=10test accuracy (%): 77.3 -> 90.7Helped
Replace mean aggregation of local ERMs with coordinate-wise median (one-round)one-round distributed algorithm with 10% Byzantine machines · MNIST logistic regression, m=10test accuracy (%): 83.7 -> 89.0Helped
Trimmed-mean GD achieves order-optimal rate vs median GD which has extra 1/n term (theory comparison)robust distributed GD · strongly convex losses, theoryerror rateNo clear effect

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