29 citations · 63 across the 17 of their papers we have counts for
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The Degrees of Freedom of Partly Smooth Regularizers
Samuel Vaiter, Charles-Alban Deledalle, Jalal M. Fadili +2
In this paper, we are concerned with regularized regression problems where the prior regularizer is a proper lower semicontinuous and convex function which is also partly smooth re…
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…
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…
The degrees of freedom of the Lasso for general design matrix
Charles Dossal, Maher Kachour, Jalal M. Fadili +2
In this paper, we investigate the degrees of freedom ($\dof$) of penalized minimization (also known as the Lasso) for linear regression models. We give a closed-form expre…
Bandlet Image Estimation with Model Selection
Charles Dossal, Erwan Le Pennec, Stéphane Mallat
To estimate geometrically regular images in the white noise model and obtain an adaptive near asymptotic minimaxity result, we consider a model selection based bandlet estimator. T…