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math.ST2025
Towards multi-purpose locally differentially-private synthetic data release via spline wavelet plug-in estimation
Thibault Randrianarisoa, Lukas Steinberger, Botond Szabó
We develop plug-in estimators for locally differentially private semi-parametric estimation via spline wavelets. The approach leads to optimal rates of convergence for a large clas…
math.ST2025
Implicit vs. explicit regularization for high-dimensional gradient descent
Thomas Stark, Lukas Steinberger
In this paper we investigate the generalization error of gradient descent (GD) applied to an -regularized OLS objective function in the linear model. Based on our analysis…