123 citations · 480 across the 32 of their papers we have counts for
18 papers · 1 filter
Robust covariance estimation with missing values and cell-wise contamination
Karim Lounici, Grégoire Pacreau
Large datasets are often affected by cell-wise outliers in the form of missing or erroneous data. However, discarding any samples containing outliers may result in a dataset that i…
Sliding window strategy for convolutional spike sorting with Lasso : Algorithm, theoretical guarantees and complexity
Laurent Dragoni, Rémi Flamary, Karim Lounici +1
Spike sorting is a class of algorithms used in neuroscience to attribute the time occurences of particular electric signals, called action potential or spike, to neurons. We rephra…
New asymptotic results in principal component analysis
Vladimir Koltchinskii, Karim Lounici
Let be a mean zero Gaussian random vector in a separable Hilbert space with covariance operator Let be the…
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 which may take negative values but must respect intrinsi…
Normal approximation and concentration of spectral projectors of sample covariance
Vladimir Koltchinskii, Karim Lounici
Let be i.i.d. Gaussian random variables in a separable Hilbert space with zero mean and covariance operator and let $\…
Estimation of Low-Rank Covariance Function
Vladimir Koltchinskii, Karim Lounici, Alexander B. Tsybakov
We consider the problem of estimating a low rank covariance function of a Gaussian process based on i.i.d. copies of observed in a white noise.…