A distribution class exists that is learnable non-privately in TV distance with finite samples but not under differential privacy, weakly refuting Ashtiani's conjecture.
A bias-variance-privacy trilemma for statistical estimation
3 Pith papers cite this work. Polarity classification is still indexing.
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First DP procedure for smooth OT map estimation achieving near-minimax optimality in d≥2 and minimax in d=1, with matching lower bounds.
Multidimensional simplex transformations on [0,1]-bounded variables extend the free lunch for private dataset size estimation, refining sufficient statistics for differentially private simple linear regression via OLS with claimed analytical and numerical gains.
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Minimax Private Estimation of Smooth Optimal-Transport Maps
First DP procedure for smooth OT map estimation achieving near-minimax optimality in d≥2 and minimax in d=1, with matching lower bounds.