122 citations · 384 across the 38 of their papers we have counts for
4 papers · 2 filters
Variable selection, monotone likelihood ratio and group sparsity
Cristina Butucea, Enno Mammen, Mohamed Ndaoud +1
In the pivotal variable selection problem, we derive the exact non-asymptotic minimax selector over the class of all -sparse vectors, which is also the Bayes selector with respe…
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…
Locally differentially private estimation of nonlinear functionals of discrete distributions
Cristina Butucea, Yann Issartel
We study the problem of estimating non-linear functionals of discrete distributions in the context of local differential privacy. The initial data are supp…
Fast Non-Asymptotic Testing And Support Recovery For Large Sparse Toeplitz Covariance Matrices
Nayel Bettache, Cristina Butucea, Marianne Sorba
We consider independent -dimensional Gaussian vectors with covariance matrix having Toeplitz structure. We test that these vectors have independent components against a stat…