Browsing by Author "Silver, Rose"

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    Differentially Private Medians and Interior Points for Non-Pathological Data
    (Schloss Dagstuhl - Leibniz Center for Informatics, 2024) Aliakbarpour, Maryam; Silver, Rose; Steinke, Thomas; Ullman, Jonathan
    We construct sample-efficient differentially private estimators for the approximate-median and interior-point problems, that can be applied to arbitrary input distributions over ℝ satisfying very mild statistical assumptions. Our results stand in contrast to the surprising negative result of Bun et al. (FOCS 2015), which showed that private estimators with finite sample complexity cannot produce interior points on arbitrary distributions.