3 papers
math.ST2021
Goodness-of-fit testing for Hölder continuous densities under local differential privacy
Amandine Dubois, Thomas Berrett, Cristina Butucea
We address the problem of goodness-of-fit testing for Hölder continuous densities under local differential privacy constraints. We study minimax separation rates when only non-inte…
math.ST2020
Phase transitions for support recovery under local differential privacy
Cristina Butucea, Amandine Dubois, Adrien Saumard
We address the problem of variable selection in a high-dimensional but sparse mean model, under the additional constraint that only privatised data are available for inference. The…
math.ST2019
Local differential privacy: Elbow effect in optimal density estimation and adaptation over Besov ellipsoids
Cristina Butucea, Amandine Dubois, Martin Kroll +1
We address the problem of non-parametric density estimation under the additional constraint that only privatised data are allowed to be published and available for inference. For t…