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20102022
most citedNonparametric sparsity and regularization

59 citations · 93 across the 11 of their papers we have counts for

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10 papers · 1 filter

math.OC2022

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…

math.OC2022

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…

math.OC2019

Parallel Random Block-Coordinate Forward-Backward Algorithm: A Unified Convergence Analysis

Saverio Salzo, Silvia Villa

We study the block-coordinate forward-backward algorithm in which the blocks are updated in a random and possibly parallel manner, according to arbitrary probabilities. The algorit…

math.OC2018

Sparse Multiple Kernel Learning: Support Identification via Mirror Stratifiability

Guillaume Garrigos, Lorenzo Rosasco, Silvia Villa

In statistical machine learning, kernel methods allow to consider infinite dimensional feature spaces with a computational cost that only depends on the number of observations. Thi…

math.OC20175 cited

Thresholding gradient methods in Hilbert spaces: support identification and linear convergence

Guillaume Garrigos, Lorenzo Rosasco, Silvia Villa

We study regularized least squares optimization problem in a separable Hilbert space. We show that the iterative soft-thresholding algorithm (ISTA) converges linearly, wit…

math.OC201713 cited

Don't relax: early stopping for convex regularization

Simon Matet, Lorenzo Rosasco, Silvia Villa +1

We consider the problem of designing efficient regularization algorithms when regularization is encoded by a (strongly) convex functional. Unlike classical penalization methods bas…