For mean estimation, a simple thresholding operator on privacy budgets matches the performance of fully personalized differential privacy mechanisms up to constant factors.
Oracle-efficient differentially private learning with public data.Advances in Neural Information Processing Systems, 37:113191–113233
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Limits of Personalizing Differential Privacy Budgets
For mean estimation, a simple thresholding operator on privacy budgets matches the performance of fully personalized differential privacy mechanisms up to constant factors.