For mean estimation, a simple thresholding operator on privacy budgets matches the performance of fully personalized differential privacy mechanisms up to constant factors.
Have it your way: Individualized privacy assignment for dp-sgd.Advances in Neural Information Processing Systems, 36:19073–19103, 2023
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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.