1 citations · 1 across the 3 of their papers we have counts for
7 papers
K-bMOM: a robust Lloyd-type clustering algorithm based on bootstrap Median-of-Means
Camille Brunet-Saumard, Edouard Genetay, Adrien Saumard
We propose a new clustering algorithm that is robust to the presence of outliers in the dataset. We perform Lloyd-type iterations with robust estimates of the centroids. More preci…
Bi-log-concavity: some properties and some remarks towards a multi-dimensional extension
Adrien Saumard
Bi-log-concavity of probability measures is a univariate extension of the notion of log-concavity that has been recently proposed in a statistical literature. Among other things, i…
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…
An extremal property of the normal distribution, with a discrete analog
Erwan Hillion, Oliver Johnson, Adrien Saumard
We prove, using the Brascamp-Lieb inequality, that the Gaussian measure is the only strong log-concave measure having a strong log-concavity parameter equal to its covariance matri…
Weighted Poincaré inequalities, concentration inequalities and tail bounds related to the Stein kernels in dimension one
Adrien Saumard
We investigate links between the so-called Stein's density approach in dimension one and some functional and concentration inequalities. We show that measures having a finite first…
Finite sample improvement of Akaike's Information Criterion
Adrien Saumard, Fabien Navarro
We emphasize that it is possible to improve the principle of unbiased risk estimation for model selection by addressing excess risk deviations in the design of penalization procedu…