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1

Estimation bounds and sharp oracle inequalities of regularized procedures with Lipschitz loss functions

Alquier, Pierre, Cottet, Vincent, Lecué, Guillaume

Journal:

The Annals of Statistics

Year:

2019

Language:

english

File:

PDF, 284 KB

english, 2019

2

Oracle inequalities for cross-validation type procedures

Lecué, Guillaume, Mitchell, Charles

Journal:

Electronic Journal of Statistics

Year:

2012

Language:

english

File:

PDF, 442 KB

english, 2012

3

Estimation bounds and sharp oracle inequalities of regularized procedures with Lipschitz loss functions

Alquier, Pierre, Cottet, Vincent, Lecué, Guillaume

Journal:

The Annals of Statistics

Year:

2019

File:

PDF, 284 KB

2019

4

Robust statistical learning with Lipschitz and convex loss functions

Chinot, Geoffrey, Lecué, Guillaume, Lerasle, Matthieu

Journal:

Probability Theory and Related Fields

Year:

2019

Language:

english

File:

PDF, 1.01 MB

english, 2019

5

Aggregation via empirical risk minimization

Guillaume Lecué, Shahar Mendelson

Journal:

Probability Theory and Related Fields

Year:

2009

Language:

english

File:

PDF, 268 KB

english, 2009

6

The logarithmic Sobolev constant of the lamplighter

Evgeny Abakumov, Anne Beaulieu, François Blanchard, Matthieu Fradelizi, Nathaël Gozlan, Bernard Host, Thiery Jeantheau, Magdalena Kobylanski, Guillaume Lecué, Miguel Martinez, Mathieu Meyer, Marie-Hél

Journal:

Journal of Mathematical Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 245 KB

english, 2013

7

Comment to “Generic chaining and the ℓ1-penalty” by Sara van de Geer

Lecué, Guillaume

Journal:

Journal of Statistical Planning and Inference

Year:

2013

Language:

english

File:

PDF, 165 KB

english, 2013

8

Optimal Rates of Aggregation in Classification under Low Noise Assumption

Guillaume Lecué

Journal:

Year:

2007

Language:

english

File:

PDF, 1.32 MB

english, 2007

9

Simultaneous Adaptation to the Margin and to Complexity in Classification

Guillaume Lecué

Journal:

The Annals of Statistics

Year:

2007

Language:

english

File:

PDF, 1.63 MB

english, 2007

10

GENERAL NONEXACT ORACLE INEQUALITIES FOR CLASSES WITH A SUBEXPONENTIAL ENVELOPE

Guillaume Lecué and Shahar Mendelson

Journal:

The Annals of Statistics

Year:

2012

Language:

english

File:

PDF, 1.93 MB

english, 2012

11

On the gap between restricted isometry properties and sparse recovery conditions

Dirksen, Sjoerd, Lecue, Guillaume, Rauhut, Holger

Journal:

IEEE Transactions on Information Theory

Year:

2016

Language:

english

File:

PDF, 441 KB

english, 2016

12

Performance of empirical risk minimization in linear aggregation

Lecué, Guillaume, Mendelson, Shahar

Journal:

Year:

2016

Language:

english

File:

PDF, 167 KB

english, 2016

13

Minimax rate of convergence and the performance of empirical risk minimization in phase recovery

Lecué, Guillaume, Mendelson, Shahar

Journal:

Electronic Journal of Probability

Year:

2015

Language:

english

File:

PDF, 448 KB

english, 2015

14

On the optimality of the aggregate with exponential weights for low temperatures

Lecué, Guillaume, Mendelson, Shahar

Journal:

Year:

2013

Language:

english

File:

PDF, 260 KB

english, 2013

15

Sharper lower bounds on the performance of the empirical risk minimization algorithm

Lecué, Guillaume, Mendelson, Shahar

Journal:

Year:

2010

Language:

english

File:

PDF, 113 KB

english, 2010

16

Empirical risk minimization is optimal for the convex aggregation problem

Lecué, Guillaume

Journal:

Year:

2013

Language:

english

File:

PDF, 174 KB

english, 2013

17

Optimal rates and adaptation in the single-index model using aggregation

Gaïffas, Stéphane, Lecué, Guillaume

Journal:

Electronic Journal of Statistics

Year:

2007

Language:

english

File:

PDF, 1.09 MB

english, 2007

18

On the optimality of the empirical risk minimization procedure for the Convex aggregation problem

Lecué, Guillaume, Mendelson, Shahar

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2013

File:

PDF, 268 KB

2013

19

Selection of variables and dimension reduction in high-dimensional non-parametric regression

Bertin, Karine, Lecué, Guillaume

Journal:

Electronic Journal of Statistics

Year:

2008

Language:

english

File:

PDF, 260 KB

english, 2008

20

An IHT algorithm for sparse recovery from sub-exponential measurements

Lecue, Guillaume, Foucart, Simon

Journal:

IEEE Signal Processing Letters

Year:

2017

Language:

english

File:

PDF, 564 KB

english, 2017

21

Optimal learning with Q-aggregation

Lecué, Guillaume, Rigollet, Philippe

Journal:

The Annals of Statistics

Year:

2014

Language:

english

File:

PDF, 158 KB

english, 2014

22

Regularization and the small-ball method I: Sparse recovery

Lecué, Guillaume, Mendelson, Shahar

Journal:

The Annals of Statistics

Year:

2018

Language:

english

File:

PDF, 313 KB

english, 2018

23

General nonexact oracle inequalities for classes with a subexponential envelope

Lecué, Guillaume, Mendelson, Shahar

Journal:

The Annals of Statistics

Year:

2012

Language:

english

File:

PDF, 277 KB

english, 2012

24

Sparse recovery under weak moment assumptions

Lecué, Guillaume, Mendelson, Shahar

Journal:

Journal of the European Mathematical Society

Year:

2017

Language:

english

File:

PDF, 215 KB

english, 2017

25

[IEEE 2018 19th International Radar Symposium (IRS) - Bonn, Germany (2018.6.20-2018.6.22)] 2018 19th International Radar Symposium (IRS) - Periodic Patterns Frequency Hopping Waveforms: From Conventional Matched Filtering to an Improved Compressed Sensing Approach

Mesnard, Philippe, Enderli, Cyrille, Lecue, Guillaume

Year:

2018

Language:

english

File:

PDF, 806 KB

english, 2018

26

Slope meets Lasso: Improved oracle bounds and optimality

Bellec, Pierre C., Lecué, Guillaume, Tsybakov, Alexandre B.

Journal:

The Annals of Statistics

Year:

2018

Language:

english

File:

PDF, 409 KB

english, 2018

27

Classification with minimax fast rates for classes of Bayes rules with sparse representation

Lecué, Guillaume

Journal:

Electronic Journal of Statistics

Year:

2008

Language:

english

File:

PDF, 338 KB

english, 2008

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