4 papers
Fast iterative regularization by reusing data
Cristian Vega, Cesare Molinari, Lorenzo Rosasco +1
Discrete inverse problems correspond to solving a system of equations in a stable way with respect to noise in the data. A typical approach to enforce uniqueness and select a meani…
Iterative regularization for low complexity regularizers
Cesare Molinari, Mathurin Massias, Lorenzo Rosasco +1
Iterative regularization exploits the implicit bias of an optimization algorithm to regularize ill-posed problems. Constructing algorithms with such built-in regularization mechani…
Iterative regularization for convex regularizers
Cesare Molinari, Mathurin Massias, Lorenzo Rosasco +1
We study iterative regularization for linear models, when the bias is convex but not necessarily strongly convex. We characterize the stability properties of a primal-dual gradient…
Convergence rates of Forward--Douglas--Rachford splitting method
Cesare Molinari, Jingwei Liang, Jalal Fadili
Over the past years, operator splitting methods have become ubiquitous for non-smooth optimization owing to their simplicity and efficiency. In this paper, we consider the Forward-…