Karim Lounici

activity

20082026

most citedTaking Advantage of Sparsity in Multi-Task Learning

123 citations · 480 across the 32 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.ST2015★ 1 cited

Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data

Karim Lounici, Katia Meziani, Gabriel Peyré

In quantum optics, the quantum state of a light beam is represented through the Wigner function, a density on $R^{2}$ which may take negative values but must respect intrinsi…

math.ST2015★ 67 cited

Normal approximation and concentration of spectral projectors of sample covariance

Vladimir Koltchinskii, Karim Lounici

Let $X, X_{1}, \dots, X_{n}$ be i.i.d. Gaussian random variables in a separable Hilbert space $H$ with zero mean and covariance operator $Σ = E (X \otimes X),$ and let $\…

math.ST2015

Estimation of Low-Rank Covariance Function

Vladimir Koltchinskii, Karim Lounici, Alexander B. Tsybakov

We consider the problem of estimating a low rank covariance function $K (t, u)$ of a Gaussian process $S (t), t \in [0, 1]$ based on $n$ i.i.d. copies of $S$ observed in a white noise.…