69 citations · 226 across the 28 of their papers we have counts for
4 papers · 1 filter
Primal-dual splitting scheme with backtracking for handling with epigraphic constraint and sparse analysis regularization
Laurence Denneulin, Nelly Pustelnik, Maud Langlois +2
The convergence of many proximal algorithms involving a gradient descent relies on its Lipschitz constant. To avoid computing it, backtracking rules can be used. While such a rule…
A deep primal-dual proximal network for image restoration
Mingyuan Jiu, Nelly Pustelnik
Image restoration remains a challenging task in image processing. Numerous methods tackle this problem, often solved by minimizing a non-smooth penalized co-log-likelihood function…
Parameter-free and fast nonlinear piecewise filtering. Application to experimental physics
Barbara Pascal, Nelly Pustelnik, Patrice Abry +2
Numerous fields of nonlinear physics, very different in nature, produce signals and images, that share the common feature of being essentially constituted of piecewise homogeneous…
Automated data-driven selection of the hyperparameters for Total-Variation based texture segmentation
Barbara Pascal, Samuel Vaiter, Nelly Pustelnik +1
Penalized Least Squares are widely used in signal and image processing. Yet, it suffers from a major limitation since it requires fine-tuning of the regularization parameters. Unde…