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- W4307788253 abstract "In this work, we study local minimax convergence estimation rates subject to $epsilon$-differential privacy. Unlike worst-case rates, which may be conservative, algorithms that are locally minimax optimal must adapt to easy instances of the problem. We construct locally minimax differentially private estimators for one-parameter exponential families and estimating the tail rate of a distribution. In these cases, we show that optimal algorithms for simple hypothesis testing, namely the recent optimal private testers of Canonne et al. (2019), directly inform the design of locally minimax estimation algorithms." @default.
- W4307788253 created "2022-11-05" @default.
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- W4307788253 date "2022-10-27" @default.
- W4307788253 modified "2023-10-14" @default.
- W4307788253 title "Instance-Optimal Differentially Private Estimation" @default.
- W4307788253 doi "https://doi.org/10.48550/arxiv.2210.15819" @default.
- W4307788253 hasPublicationYear "2022" @default.
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