For Gaussian-mixture clients with a Byzantine fraction, the proposed algorithm achieves personalized mean error roughly proportional to the corruption ratio, but the paper's matching lower bound fails in the small-corruption regime.
Robust estimation of a location parameter,
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Robust Federated Personalised Mean Estimation for the Gaussian Mixture Model
For Gaussian-mixture clients with a Byzantine fraction, the proposed algorithm achieves personalized mean error roughly proportional to the corruption ratio, but the paper's matching lower bound fails in the small-corruption regime.