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20112023
most citedMind the duality gap: safer rules for the Lasso

59 citations · 443 across the 46 of their papers we have counts for

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23 papers · 1 filter

stat.ML2022★ 1 cited

Stochastic smoothing of the top-K calibrated hinge loss for deep imbalanced classification

Camille Garcin, Maximilien Servajean, Alexis Joly +1

In modern classification tasks, the number of labels is getting larger and larger, as is the size of the datasets encountered in practice. As the number of classes increases, class…

stat.ML2021★ 1 cited

Score-Based Change Detection for Gradient-Based Learning Machines

Lang Liu, Joseph Salmon, Zaid Harchaoui

The widespread use of machine learning algorithms calls for automatic change detection algorithms to monitor their behavior over time. As a machine learning algorithm learns from a…

stat.ML2021★ 3 cited

Implicit differentiation for fast hyperparameter selection in non-smooth convex learning

Quentin Bertrand, Quentin Klopfenstein, Mathurin Massias +4

Finding the optimal hyperparameters of a model can be cast as a bilevel optimization problem, typically solved using zero-order techniques. In this work we study first-order method…

stat.ML2020★ 2 cited

Model identification and local linear convergence of coordinate descent

Quentin Klopfenstein, Quentin Bertrand, Alexandre Gramfort +2

For composite nonsmooth optimization problems, Forward-Backward algorithm achieves model identification (e.g. support identification for the Lasso) after a finite number of iterati…

stat.ML2020★ 2 cited

Screening Rules and its Complexity for Active Set Identification

Eugene Ndiaye, Olivier Fercoq, Joseph Salmon

Screening rules were recently introduced as a technique for explicitly identifying active structures such as sparsity, in optimization problem arising in machine learning. This has…

stat.ML2020★ 4 cited

Statistical control for spatio-temporal MEG/EEG source imaging with desparsified multi-task Lasso

Jérôme-Alexis Chevalier, Alexandre Gramfort, Joseph Salmon +1

Detecting where and when brain regions activate in a cognitive task or in a given clinical condition is the promise of non-invasive techniques like magnetoencephalography (MEG) or…

stat.ML2020★ 26 cited

Implicit differentiation of Lasso-type models for hyperparameter optimization

Quentin Bertrand, Quentin Klopfenstein, Mathieu Blondel +3

Setting regularization parameters for Lasso-type estimators is notoriously difficult, though crucial in practice. The most popular hyperparameter optimization approach is grid-sear…

stat.ML2020★ 3 cited

Support recovery and sup-norm convergence rates for sparse pivotal estimation

Mathurin Massias, Quentin Bertrand, Alexandre Gramfort +1

In high dimensional sparse regression, pivotal estimators are estimators for which the optimal regularization parameter is independent of the noise level. The canonical pivotal est…

stat.ML2019★ 8 cited

Dual Extrapolation for Sparse Generalized Linear Models

Mathurin Massias, Samuel Vaiter, Alexandre Gramfort +1

Generalized Linear Models (GLM) form a wide class of regression and classification models, where prediction is a function of a linear combination of the input variables. For statis…

stat.ML2019★ 17 cited

Handling correlated and repeated measurements with the smoothed multivariate square-root Lasso

Quentin Bertrand, Mathurin Massias, Alexandre Gramfort +1

Sparsity promoting norms are frequently used in high dimensional regression. A limitation of such Lasso-type estimators is that the optimal regularization parameter depends on the…

stat.ML2018★ 7 cited

Safe Grid Search with Optimal Complexity

Eugene Ndiaye, Tam Le, Olivier Fercoq +2

Popular machine learning estimators involve regularization parameters that can be challenging to tune, and standard strategies rely on grid search for this task. In this paper, we…

stat.ML2018★ 2 cited

Celer: a Fast Solver for the Lasso with Dual Extrapolation

Mathurin Massias, Alexandre Gramfort, Joseph Salmon

Convex sparsity-inducing regularizations are ubiquitous in high-dimensional machine learning, but solving the resulting optimization problems can be slow. To accelerate solvers, st…

stat.ML2017★ 12 cited

Generalized Concomitant Multi-Task Lasso for sparse multimodal regression

Mathurin Massias, Olivier Fercoq, Alexandre Gramfort +1

In high dimension, it is customary to consider Lasso-type estimators to enforce sparsity. For standard Lasso theory to hold, the regularization parameter should be proportional to…

stat.ML2017★ 8 cited

From safe screening rules to working sets for faster Lasso-type solvers

Mathurin Massias, Alexandre Gramfort, Joseph Salmon

Convex sparsity-promoting regularizations are ubiquitous in modern statistical learning. By construction, they yield solutions with few non-zero coefficients, which correspond to s…

stat.ML2016

Characterizing the maximum parameter of the total-variation denoising through the pseudo-inverse of the divergence

Charles-Alban Deledalle, Nicolas Papadakis, Joseph Salmon +1

We focus on the maximum regularization parameter for anisotropic total-variation denoising. It corresponds to the minimum value of the regularization parameter above which the solu…

stat.ML2016★ 11 cited

Gap Safe screening rules for sparsity enforcing penalties

Eugene Ndiaye, Olivier Fercoq, Alexandre Gramfort +1

In high dimensional regression settings, sparsity enforcing penalties have proved useful to regularize the data-fitting term. A recently introduced technique called screening rules…

stat.ML2016★ 22 cited

Efficient Smoothed Concomitant Lasso Estimation for High Dimensional Regression

Eugene Ndiaye, Olivier Fercoq, Alexandre Gramfort +2

In high dimensional settings, sparse structures are crucial for efficiency, both in term of memory, computation and performance. It is customary to consider penalty to enf…

stat.ML2016★ 27 cited

Gossip Dual Averaging for Decentralized Optimization of Pairwise Functions

Igor Colin, Aurélien Bellet, Joseph Salmon +1

In decentralized networks (of sensors, connected objects, etc.), there is an important need for efficient algorithms to optimize a global cost function, for instance to learn a glo…

stat.ML2016★ 32 cited

GAP Safe Screening Rules for Sparse-Group-Lasso

Eugene Ndiaye, Olivier Fercoq, Alexandre Gramfort +1

In high dimensional settings, sparse structures are crucial for efficiency, either in term of memory, computation or performance. In some contexts, it is natural to handle more ref…

stat.ML2015★ 10 cited

Extending Gossip Algorithms to Distributed Estimation of U-Statistics

Igor Colin, Aurélien Bellet, Joseph Salmon +1

Efficient and robust algorithms for decentralized estimation in networks are essential to many distributed systems. Whereas distributed estimation of sample mean statistics has bee…

stat.ML2015★ 16 cited

GAP Safe screening rules for sparse multi-task and multi-class models

Eugene Ndiaye, Olivier Fercoq, Alexandre Gramfort +1

High dimensional regression benefits from sparsity promoting regularizations. Screening rules leverage the known sparsity of the solution by ignoring some variables in the optimiza…

stat.ML2015★ 59 cited

Mind the duality gap: safer rules for the Lasso

Olivier Fercoq, Alexandre Gramfort, Joseph Salmon

Screening rules allow to early discard irrelevant variables from the optimization in Lasso problems, or its derivatives, making solvers faster. In this paper, we propose new versio…

stat.ML2013★ 13 cited

Learning Heteroscedastic Models by Convex Programming under Group Sparsity

Arnak S. Dalalyan, Mohamed Hebiri, Katia Méziani +1

Popular sparse estimation methods based on -relaxation, such as the Lasso and the Dantzig selector, require the knowledge of the variance of the noise in order to properly…