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math.ST2019
Pointwise adaptive kernel density estimation under local approximate differential privacy
Martin Kroll
We consider non-parametric density estimation in the framework of local approximate differential privacy. In contrast to centralized privacy scenarios with a trusted curator, in th…
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…