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12/16/2021
High-dimensional logistic entropy clustering
Minimization of the (regularized) entropy of classification probabilitie...
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11/30/2020
Sharp phase transitions for exact support recovery under local differential privacy
We address the problem of variable selection in the Gaussian mean model ...
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04/03/2020
Relaxing the Gaussian assumption in Shrinkage and SURE in high dimension
Shrinkage estimation is a fundamental tool of modern statistics, pioneer...
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02/10/2020
K-bMOM: a robust Lloyd-type clustering algorithm based on bootstrap Median-of-Means
We propose a new clustering algorithm that is robust to the presence of ...
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03/18/2019
Bi-log-concavity: some properties and some remarks towards a multi-dimensional extension
Bi-log-concavity of probability measures is a univariate extension of th...
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03/05/2019
Local differential privacy: Elbow effect in optimal density estimation and adaptation over Besov ellipsoids
We address the problem of non-parametric density estimation under the ad...
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04/11/2018
Weighted Poincaré inequalities, concentration inequalities and tail bounds related to the behavior of the Stein kernel in dimension one
We investigate the links between the so-called Stein's density approach ...
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03/06/2018
Model Selection as a Multiple Testing Procedure: Improving Akaike's Information Criterion
By interpreting the model selection problem as a multiple hypothesis tes...
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11/02/2017
On the Isoperimetric constant, covariance inequalities and L_p-Poincaré inequalities in dimension one
Firstly, we derive in dimension one a new covariance inequality of L_1-L...
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02/16/2017