For mean estimation, a simple thresholding operator on privacy budgets matches the performance of fully personalized differential privacy mechanisms up to constant factors.
Individ- ualized pate: Differentially private machine learning with individual privacy guarantees.arXiv preprint arXiv:2202.10517, 2022
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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.