75 citations · 320 across the 31 of their papers we have counts for
9 papers · 1 filter
Sharp Oracle Inequalities for Low-complexity Priors
Tung Duy Luu, Jalal Fadili, Christophe Chesneau
In this paper,we consider a high-dimensional statistical estimation problem in which the the number of parameters is comparable or larger than the sample size. We present a unified…
Stein COnsistent Risk Estimator (SCORE) for hard thresholding
Charles-Alban Deledalle, Gabriel Peyré, Jalal Fadili
In this work, we construct a risk estimator for hard thresholding which can be used as a basis to solve the difficult task of automatically selecting the threshold. As hard thresho…
On adaptive wavelet estimation of a class of weighted densities
Fabien Navarro, Christophe Chesneau, Jalal Fadili
We investigate the estimation of a weighted density taking the form , where denotes an unknown density, the associated distribution function and is a known (no…
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…
Block thresholding for wavelet-based estimation of function derivatives from a heteroscedastic multichannel convolution model
Fabien Navarro, Christophe Chesneau, Jalal Fadili +1
We observe heteroscedastic stochastic processes , where for any and , is the convolution product of an unknown functi…
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…
Stein Block Thresholding For Image Denoising
Christophe Chesneau, Jalal Fadili, Jean-Luc Starck
In this paper, we investigate the minimax properties of Stein block thresholding in any dimension with a particular emphasis on . Towards this goal, we consider a frame co…
Simulation of Gegenbauer Processes using Wavelet Packets
Jérôme Collet, Jalal Fadili
In this paper, we study the synthesis of Gegenbauer processes using the wavelet packets transform. In order to simulate a 1-factor Gegenbauer process, we introduce an original algo…
Fast Poisson Noise Removal by Biorthogonal Haar Domain Hypothesis Testing
Bo Zhang, Jalal Fadili, Jean Luc Starck +1
Methods based on hypothesis tests (HTs) in the Haar domain are widely used to denoise Poisson count data. Facing large datasets or real-time applications, Haar-based denoisers have…