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authFullName_s : Serge Gratton

Parametric complexity analysis for a class of first-order Adagrad-like algorithms

Serge Gratton , SADOK JERAD , Philippe L. Toint
Preprints, Working Papers, ... hal-03718810v1

Low rank updates in preconditioning the saddle point systems arising from data assimilation problems

Matthew C. Fisher , Serge Gratton , Selime Gurol , Y. Trémolet , Xavier Vasseur et al.
Optimization Methods and Software, 2018, 33 (1), pp.45-69. ⟨10.1080/10556788.2016.1264398⟩
Journal articles hal-03612700v1
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Hybrid Levenberg-Marquardt and weak constraint ensemble Kalman smoother method, Nonlinear Processes in Geophysics

Jan Mandel , El Houcine Bergou , Selime Gurol , Serge Gratton
Nonlinear Processes in Geophysics, 2016, 23, pp.59--73. ⟨10.5194/npgd-2-865-2015⟩
Journal articles hal-03165022v1
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Quasi-Newton updates with weighted secant equations

Serge Gratton , Vincent Malmedy , Philippe Toint
Optimization Methods and Software, 2015, 30 (4), pp.748-755. ⟨10.1080/10556788.2014.971025⟩
Journal articles hal-02147968v1

An Iterative Ensemble Kalman Smoother in Presence of Additive Model Error

Anthony Fillion , Marc Bocquet , Serge Gratton , Selime Gürol , Pavel Sakov et al.
SIAM/ASA Journal on Uncertainty Quantification, 2020, 8 (1), pp.198-228. ⟨10.1137/19M1244147⟩
Journal articles hal-02943255v1

On the convergence of a non-linear ensemble Kalman smoother

El Houcine Bergou , Serge Gratton , Jan Mandel
Applied Numerical Mathematics, 2019, 137, pp.151-168. ⟨10.1016/j.apnum.2018.11.008⟩
Journal articles hal-02618742v1

A note on inexact inner products in GMRES

Serge Gratton , Ehouarn Simon , David Titley-Peloquin , Philippe Toint
SIAM Journal on Matrix Analysis and Applications, 2022, 43 (3)
Journal articles hal-03637231v1

Guaranteeing the convergence of the saddle formulation for weakly constrained 4D‐Var data assimilation

Serge Gratton , Selime Gürol , Ehouarn Simon , Philippe Toint
Quarterly Journal of the Royal Meteorological Society, 2018, 144 (717), pp.2592-2602. ⟨10.1002/qj.3355⟩
Journal articles hal-02959392v1

Lp‐norm regularization approaches in variational data assimilation

Antoine Bernigaud , Serge Gratton , Flavia Lenti , Ehouarn Simon , Oumaima Sohab et al.
Quarterly Journal of the Royal Meteorological Society, 2021, 147, pp.2067 - 2081. ⟨10.1002/qj.4010⟩
Journal articles hal-03160275v1
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A new preconditioner update strategy for the solution of sequences of linear systems in structural mechanics: application to saddle point problems in elasticity

Sylvain Mercier , Serge Gratton , Nicolas Tardieu , Xavier Vasseur
Computational Mechanics, 2017, 60 (6), pp.969-982. ⟨10.1007/s00466-017-1450-z⟩
Journal articles hal-03612688v1
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On the use of the energy norm in trust-region and adaptive cubic regularization subproblems

El Houcine Bergou , Youssef Diouane , Serge Gratton
Computational Optimization and Applications, 2017, vol. 68 (n° 3), pp. 533-554. ⟨10.1007/s10589-017-9929-2⟩
Journal articles hal-01654736v1
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On the approximation of the solution of partial differential equations by artificial neural networks trained by a multilevel Levenberg-Marquardt method

Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur
Optimization Methods and Software, 2020
Journal articles hal-02943228v1

First-Order Objective-Function-Free Optimization Algorithms and Their Complexity

Serge Gratton , SADOK JERAD , Philippe L. Toint
Preprints, Working Papers, ... hal-03718811v1
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Enrichissement de préconditionneurs pour la résolution de systèmes linéaires symétriques indéfinis

Sylvain Mercier , Serge Gratton , Nicolas Tardieu , Xavier Vasseur
12e Colloque national en calcul des structures, CSMA, May 2015, Giens, France
Conference papers hal-01515057v1
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Adversarial attacks via Sequential Quadratic Programming

Théo Beuzeville , Alfredo Buttari , Serge Gratton , Theo Mary , Erkan Ulker et al.
Preprints, Working Papers, ... hal-03752184v1
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Globally convergent evolution strategies for constrained optimization

Youssef Diouane , Serge Gratton , L. Nunes Vicente
Computational Optimization and Applications, 2015, vol. 62 (n° 2), pp. 323-346. ⟨10.1007/s10589-015-9747-3⟩
Journal articles hal-01391788v1
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Sequential estimation of surface water mass changes from daily satellite gravimetry data

Guillaume Ramillien , Frank Frappart , Serge Gratton , Xavier Vasseur
Journal of Geodesy, 2015, 89 (3), pp.259-282. ⟨10.1007/s00190-014-0772-2⟩
Journal articles hal-02181991v1

Direct search based on probabilistic feasible descent for bound and linearly constrained problems

Serge Gratton , Clément Royer , Luís N. Vicente , Zaikun Zhang
Computational Optimization and Applications, 2019, 72 (3), pp.525-559. ⟨10.1007/s10589-019-00062-4⟩
Journal articles hal-02774086v1
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Complexity and global rates of trust-region methods based on probabilistic mode

Serge Gratton , Clément Royer , Luis Vicente , Zaikun Zhang
IMA Journal of Numerical Analysis, 2018, 38 (3), pp.1579-1597. ⟨10.1093/imanum/drx043⟩
Journal articles hal-02147973v1
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A Parallel Evolution Strategy for an Earth Imaging Problem in Geophysics

Youssef Diouane , Serge Gratton , Xavier Vasseur , L. Nunes Vicente , Henri Calandra et al.
Optimization and Engineering, 2015, pp.1-24. ⟨10.1007/s11081-015-9296-8⟩
Journal articles hal-01396146v1
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Modelling spatially correlated observation errors in variational data assimilation using a diffusion operator on an unstructured mesh

Oliver Guillet , Anthony Weaver , Xavier Vasseur , Yann Michel , Serge Gratton et al.
Quarterly Journal of the Royal Meteorological Society, 2019, pp.1-21. ⟨10.1002/qj.3537⟩
Journal articles hal-02160404v1
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Planck intermediate results

Yashar Akrami , M. Ashdown , J. Aumont , C. Baccigalupi , M. Ballardini et al.
Astronomy and Astrophysics - A&A, 2020, 644, pp.A99. ⟨10.1051/0004-6361/201936794⟩
Journal articles cea-03065753v1
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Efficient computation of condition estimates for linear least squares problems

Marc Baboulin , Serge Gratton , Rémi Lacroix , Alan J. Laub
[Research Report] RR-8065, INRIA. 2012, pp.15
Reports hal-00731136v2
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Constrained Regional Recovery of Continental Water Mass Time-variations from GRACE-based Geopotential Anomalies over South America

Guillaume Ramillien , Lucia Seoane , Frédéric Frappart , Richard Biancale , Serge Gratton et al.
Surveys in Geophysics, 2012, 33 (5), pp.887-905. ⟨10.1007/s10712-012-9177-z⟩
Journal articles hal-00743877v1

On a second-order expansion of the truncated singular subspace decomposition

Serge Gratton , Jean Tshimanga Ilunga
Numerical Linear Algebra with Applications, 2016, 23 (3), pp.519--534
Journal articles hal-03165023v1

A merit function approach for direct search

Serge Gratton , Luis Vicente
SIAM Journal on Optimization, 2014, 24 (4), pp.1980-1998. ⟨10.1137/130917661⟩
Journal articles hal-03519555v1
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A note on solving nonlinear optimization problems in variable precision

Serge Gratton , Ph L Toint
Computational Optimization and Applications, 2020, pp.1-15
Journal articles hal-02943237v1
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Adversarial attacks via backward error analysis

Théo Beuzeville , Pierre Boudier , Alfredo Buttari , Serge Gratton , Théo Mary et al.
Preprints, Working Papers, ... hal-03296180v3
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Stochastic conditionin g of matrix functions

Serge Gratton , David Titley-Peloquin
SIAM/ASA Journal on Uncertainty Quantification, 2014, 2 (1), pp.763-783. ⟨10.1137/140973827⟩
Journal articles hal-02147970v1

Conjugate-gradients versus multigrid solvers for diffusion-based correlation models in data assimilation

Serge Gratton , Philippe Toint , Jean Tshimanga Ilunga
Quarterly Journal of the Royal Meteorological Society, 2014, 139 (675), pp.1481--1487
Journal articles hal-03224130v1