3 papers
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
Adaptive Divide and Conquer with Two Rounds of Communication
Niladri Kal, Botond Szabó, Rajarshi Guhaniyogi +2
We introduce a two-round adaptive communication strategy that enables rate-optimal estimation in the white noise model without requiring prior knowledge of the underlying smoothnes…
math.ST2025
Adaptive sparse variational approximations for Gaussian process regression
Dennis Nieman, Botond Szabó
Accurate tuning of hyperparameters is crucial to ensure that models can generalise effectively across different settings. In this paper, we present theoretical guarantees for hyper…