C. Butucea

activity

20042026

most citedDetection of a sparse submatrix of a high-dimensional noisy matrix

122 citations · 384 across the 38 of their papers we have counts for

collaborators

Showing 2015 · math.STShow all

4 papers · 2 filters

math.ST2015

Variable selection with Hamming loss

Cristina Butucea, Mohamed Ndaoud, Natalia A. Stepanova +1

We derive non-asymptotic bounds for the minimax risk of variable selection under expected Hamming loss in the Gaussian mean model in $R^{d}$ for classes of $s$ -sparse vector…

math.ST2015

Maximum entropy distribution of order statistics with given marginals

Cristina Butucea, Jean-François Delmas, Anne Dutfoy +1

We consider distributions of ordered random vectors with given one-dimensional marginal distributions. We give an elementary necessary and sufficient condition for the existence of…

math.ST2015

Adaptive variable selection in nonparametric sparse additive models

Cristina Butucea, Natalia Stepanova

We consider the problem of recovery of an unknown multivariate signal $f$ observed in a $d$ -dimensional Gaussian white noise model of intensity $ε$ . We assume that $f$ be…

math.ST2015★ 1 cited

Sharp minimax tests for large Toeplitz covariance matrices with repeated observations

Cristina Butucea, Rania Zgheib

We observe a sample of $n$ independent $p$ -dimensional Gaussian vectors with Toeplitz covariance matrix $Σ = [σ_{∣ i - j ∣}]_{1 \leq i, j \leq p}$ and $σ_{0} = 1$ . We consider the problem o…