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math.ST2025
Differentially private multivariate medians
Kelly Ramsay, Aukosh Jagannath, Shoja'eddin Chenouri
Statistical tools which satisfy rigorous privacy guarantees are necessary for modern data analysis. It is well-known that robustness against contamination is linked to differential…
math.ST2024
Differentially private projection-depth-based medians
Kelly Ramsay, Dylan Spicker
We develop -differentially private projection-depth-based medians using the propose-test-release (PTR) and exponential mechanisms. Under general conditions on the input pa…