29 citations · 63 across the 17 of their papers we have counts for
4 papers · 1 filter
Consistency of l1 recovery from noisy deterministic measurements
Charles Dossal, Rémi Tesson
In this paper a new result of recovery of sparse vectors from deterministic and noisy measurements by l1 minimization is given. The sparse vector is randomly chosen and follows a g…
The Degrees of Freedom of the Group Lasso
Samuel Vaiter, Charles Deledalle, Gabriel Peyré +2
This paper studies the sensitivity to the observations of the block/group Lasso solution to an overdetermined linear regression model. Such a regularization is known to promote spa…
Risk estimation for matrix recovery with spectral regularization
Charles-Alban Deledalle, Samuel Vaiter, Gabriel Peyré +2
In this paper, we develop an approach to recursively estimate the quadratic risk for matrix recovery problems regularized with spectral functions. Toward this end, in the spirit of…
Local Behavior of Sparse Analysis Regularization: Applications to Risk Estimation
Samuel Vaiter, Charles Deledalle, Gabriel Peyré +2
In this paper, we aim at recovering an unknown signal x0 from noisy L1measurements y=Phi*x0+w, where Phi is an ill-conditioned or singular linear operator and w accounts for some n…