13 citations · 18 across the 3 of their papers we have counts for
3 papers
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 which may take negative values but must respect intrinsi…
stat.ML2013★ 13 cited
Learning Heteroscedastic Models by Convex Programming under Group Sparsity
Arnak S. Dalalyan, Mohamed Hebiri, Katia Méziani +1
Popular sparse estimation methods based on -relaxation, such as the Lasso and the Dantzig selector, require the knowledge of the variance of the noise in order to properly…
math.ST2008★ 4 cited
Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data
Katia Meziani
In the framework of quantum optics, we study the problem of goodness-of-fit testing in a severely ill-posed inverse problem. A novel testing procedure is introduced and its rates o…