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Machine Learning with Adversaries: Byzantine Tolerant Gradient Descent

NeurIPS 2017 · Optimization › Distributed and compressed · approach: Byzantine-robust learning · 967 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace averaging with Krum aggregation (no Byzantine workers)distributed SGD, spambase MLP · spambase, 0% Byzantine, batch size 3cross-validation errorHurt
Krum aggregation under 33% Gaussian Byzantine workers vs averagingdistributed SGD, spambase MLP · spambase, 33% Gaussian Byzantine, batch size 3cross-validation errorHelped
Multi-Krum (m=n-f) aggregation under 33% Gaussian Byzantine workers (ablation)distributed SGD, spambase MLP · spambase, 33% Gaussian Byzantine, batch size 3convergence speed vs averaging with 0% ByzantineHelped
Increase mini-batch size from ~1 to around 20-30 with Krum (ablation)Krum under 45% omniscient Byzantine workers · spambase and MNISTerror at round 500Helped

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