Serge Gratton - RankMe

111 papers A* 1C 2Journal 105Unranked 3

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Feature Representation Transferring to Lightweight Models via Perception Coherence. Trans. Mach. Learn. Res. Hai-Vy Nguyen, Fabrice Gamboa, Sixin Zhang, Reda Chhaibi, Serge Gratton, Thierry Giaccone
2026	J	`jnl`	Multi-Preconditioned LBFGS for Training Finite-Basis PINNs. CoRR Marc Salvadó-Benasco, Aymane Kssim, Alexander Heinlein, Rolf Krause, Serge Gratton, Alena Kopanicáková
2026	J	`jnl`	Training More Robust Classification Model via Discriminative Loss and Gaussian Noise Injection. Trans. Mach. Learn. Res. Hai-Vy Nguyen, Fabrice Gamboa, Sixin Zhang, Reda Chhaibi, Serge Gratton, Thierry Giaccone
2025	J	`jnl`	A Stochastic Objective-Function-Free Adaptive Regularization Method with Optimal Complexity. Open J. Math. Optim. Serge Gratton, Sadok Jerad, Philippe L. Toint
2025	J	`jnl`	Complexity and performance for two classes of noise-tolerant first-order algorithms. Optim. Methods Softw. Serge Gratton, Sadok Jerad, Philippe L. Toint
2025	J	`jnl`	Convolutional Rectangular Attention Module. CoRR Hai-Vy Nguyen, Fabrice Gamboa, Sixin Zhang, Reda Chhaibi, Serge Gratton, Thierry Giaccone
2025	J	`jnl`	Faster Computation of Entropic Optimal Transport via Stable Low Frequency Modes. CoRR Reda Chhaibi, Serge Gratton, Samuel Vaiter
2025	J	`jnl`	Feature Representation Transferring to Lightweight Models via Perception Coherence. CoRR Hai-Vy Nguyen, Fabrice Gamboa, Sixin Zhang, Reda Chhaibi, Serge Gratton, Thierry Giaccone
2025	J	`jnl`	Recursive Bound-Constrained AdaGrad with Applications to Multilevel and Domain Decomposition Minimization. CoRR Serge Gratton, Alena Kopanicáková, Philippe L. Toint
2025	J	`jnl`	Refining asymptotic complexity bounds for nonconvex optimization methods, including why steepest descent is o(ε Comput. Optim. Appl. Serge Gratton, Chee-Khian Sim, Philippe L. Toint
2025	J	`jnl`	S2MPJ and CUTEst optimization problems for Matlab, Python and Julia. Optim. Methods Softw. Serge Gratton, Philippe L. Toint
2024	J	`jnl`	A block-coordinate approach of multi-level optimization with an application to physics-informed neural networks. Comput. Optim. Appl. Serge Gratton, Valentin Mercier, Elisa Riccietti, Philippe L. Toint
2024	J	`jnl`	A non-linear conjugate gradient in dual space for L Numer. Algorithms Antoine Bernigaud, Serge Gratton, Ehouarn Simon
2024	J	`jnl`	CNN-based Compressor Mass Flow Estimator in Industrial Aircraft Vapor Cycle System. CoRR Justin Reverdi, Sixin Zhang, Saïd Aoues, Fabrice Gamboa, Serge Gratton, Thomas Pellegrini
2024	A*	`conf`	Combining Statistical Depth and Fermat Distance for Uncertainty Quantification. NeurIPS Hai-Vy Nguyen, Fabrice Gamboa, Reda Chhaibi, Sixin Zhang, Serge Gratton, Thierry Giaccone
2024	J	`jnl`	Combining Statistical Depth and Fermat Distance for Uncertainty Quantification. CoRR Hai-Vy Nguyen, Fabrice Gamboa, Reda Chhaibi, Sixin Zhang, Serge Gratton, Thierry Giaccone
2024	J	`jnl`	Large Margin Discriminative Loss for Classification. CoRR Hai-Vy Nguyen, Fabrice Gamboa, Sixin Zhang, Reda Chhaibi, Serge Gratton, Thierry Giaccone
2024	J	`jnl`	Preface for the special edition of optimization methods and software. Optim. Methods Softw. Serge Gratton, Philippe L. Toint, Jacek Gondzio, Yurii E. Nesterov, Yaxiang Yuan
2024	J	`jnl`	Refining asymptotic complexity bounds for nonconvex optimization methods, including why steepest descent is o(ε CoRR Serge Gratton, Chee-Khian Sim, Philippe L. Toint
2024	J	`jnl`	S2MPJ and CUTEst optimization problems for Matlab, Python and Julia. CoRR Serge Gratton, Philippe L. Toint
2024	J	`jnl`	Two-level deep domain decomposition method. CoRR Victorita Dolean, Serge Gratton, Alexander Heinlein, Valentin Mercier
2023	J	`jnl`	A Block-Coordinate Approach of Multi-level Optimization with an Application to Physics-Informed Neural Networks. CoRR Serge Gratton, Valentin Mercier, Elisa Riccietti, Philippe L. Toint
2023	J	`jnl`	A filtered multilevel Monte Carlo method for estimating the expectation of discretized random fields. CoRR Jérémy Briant, Paul Mycek, Mayeul Destouches, Olivier Goux, Serge Gratton, Selime Gürol, Ehouarn Simon, Anthony T. Weaver
2023	J	`jnl`	An adaptive regularization method in Banach spaces. Optim. Methods Softw. Serge Gratton, Sadok Jerad, Philippe L. Toint
2023	J	`jnl`	Convergence Properties of an Objective-Function-Free Optimization Regularization Algorithm, Including an \(\boldsymbol{\mathcal{O}(\epsilon^{-3/2})}\) Complexity Bound. SIAM J. Optim. Serge Gratton, Sadok Jerad, Philippe L. Toint
2023	J	`jnl`	Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training. CoRR Serge Gratton, Alena Kopanicáková, Philippe L. Toint
2023	J	`jnl`	Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training. SIAM J. Optim. Serge Gratton, Alena Kopanicáková, Philippe L. Toint
2023	J	`jnl`	OFFO minimization algorithms for second-order optimality and their complexity. Comput. Optim. Appl. Serge Gratton, Philippe L. Toint
2022	J	`jnl`	A Note on Inexact Inner Products in GMRES. SIAM J. Matrix Anal. Appl. Serge Gratton, Ehouarn Simon, David Titley-Péloquin, Philippe L. Toint
2022	J	`jnl`	On a multilevel Levenberg-Marquardt method for the training of artificial neural networks and its application to the solution of partial differential equations. Optim. Methods Softw. Henri Calandra, Serge Gratton, Elisa Riccietti, Xavier Vasseur
2022	J	`jnl`	Parametric complexity analysis for a class of first-order Adagrad-like algorithms. CoRR Serge Gratton, Sadok Jerad, Philippe L. Toint
2021	J	`jnl`	A coarse space acceleration of deep-DDM. CoRR Valentin Mercier, Serge Gratton, Pierre Boudier
2021	J	`jnl`	An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity. Math. Program. Serge Gratton, Ehouarn Simon, Philippe L. Toint
2021	J	`jnl`	Hölder Gradient Descent and Adaptive Regularization Methods in Banach Spaces for First-Order Points. CoRR Serge Gratton, Sadok Jerad, Philippe L. Toint
2021	J	`jnl`	Latent Space Data Assimilation by using Deep Learning. CoRR Mathis Peyron, Anthony Fillion, Selime Gürol, Victor Marchais, Serge Gratton, Pierre Boudier, Gaël Goret
2021	J	`jnl`	Minimizing convex quadratics with variable precision conjugate gradients. Numer. Linear Algebra Appl. Serge Gratton, Ehouarn Simon, David Titley-Péloquin, Philippe L. Toint
2021	J	`jnl`	On High-Order Multilevel Optimization Strategies. SIAM J. Optim. Henri Calandra, Serge Gratton, Elisa Riccietti, Xavier Vasseur
2020	J	`jnl`	A decoupled first/second-order steps technique for nonconvex nonlinear unconstrained optimization with improved complexity bounds. Math. Program. Serge Gratton, Clément W. Royer, Luís Nunes Vicente
2020	J	`jnl`	A note on solving nonlinear optimization problems in variable precision. Comput. Optim. Appl. Serge Gratton, Philippe L. Toint
2020	J	`jnl`	An Iterative Ensemble Kalman Smoother in Presence of Additive Model Error. SIAM/ASA J. Uncertain. Quantification Anthony Fillion, Marc Bocquet, Serge Gratton, Selime Gürol, Pavel Sakov
2020	J	`jnl`	DAN - An optimal Data Assimilation framework based on machine learning Recurrent Networks. CoRR Pierre Boudier, Anthony Fillion, Serge Gratton, Selime Gürol
2020	J	`jnl`	On Iterative Solution of the Extended Normal Equations. SIAM J. Matrix Anal. Appl. Henri Calandra, Serge Gratton, Elisa Riccietti, Xavier Vasseur
2019	J	`jnl`	Direct search based on probabilistic feasible descent for bound and linearly constrained problems. Comput. Optim. Appl. Serge Gratton, Clément W. Royer, Luís Nunes Vicente, Zaikun Zhang
2019	J	`jnl`	Exploiting variable precision in GMRES. CoRR Serge Gratton, Ehouarn Simon, David Titley-Péloquin, Philippe L. Toint
2019	J	`jnl`	On the approximation of the solution of partial differential equations by artificial neural networks trained by a multilevel Levenberg-Marquardt method. CoRR Henri Calandra, Serge Gratton, Elisa Riccietti, Xavier Vasseur
2019	J	`jnl`	On the iterative solution of systems of the form A CoRR Henri Calandra, Serge Gratton, Elisa Riccietti, Xavier Vasseur
2018	J	`jnl`	A Levenberg-Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients. Numerische Mathematik Stefania Bellavia, Serge Gratton, Elisa Riccietti
2018	J	`jnl`	A Line-Search Algorithm Inspired by the Adaptive Cubic Regularization Framework and Complexity Analysis. J. Optim. Theory Appl. El Houcine Bergou, Youssef Diouane, Serge Gratton
2018	J	`jnl`	A note on solving nonlinear optimization problems in variable precision. CoRR Serge Gratton, Philippe L. Toint
2018	J	`jnl`	Improved Bounds for Small-Sample Estimation. SIAM J. Matrix Anal. Appl. Serge Gratton, David Titley-Péloquin
2018	J	`jnl`	Low rank updates in preconditioning the saddle point systems arising from data assimilation problems. Optim. Methods Softw. Matthew C. Fisher, Serge Gratton, Selime Gürol, Yannick Trémolet, Xavier Vasseur
2018	J	`jnl`	Minimizing convex quadratic with variable precision Krylov methods. CoRR Serge Gratton, Ehouarn Simon, Philippe L. Toint
2018	J	`jnl`	Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening. Comput. Vis. Sci. Thibaut Lunet, Julien Bodart, Serge Gratton, Xavier Vasseur
2017	J	`jnl`	A conjugate gradient like method for p-norm minimization in functional spaces. Numerische Mathematik Claudio Estatico, Serge Gratton, Flavia Lenti, David Titley-Péloquin
2017	J	`jnl`	An indicator for the switch from derivative-free to derivative-based optimization. Oper. Res. Lett. Serge Gratton, N. Soualmi, Luís Nunes Vicente
2017	J	`jnl`	On the Symmetric Componentwise Relative Backward Error for Linear Systems of Equations. SIAM J. Matrix Anal. Appl. Stanley C. Eisenstat, Serge Gratton, David Titley-Péloquin
2017	J	`jnl`	On the use of the energy norm in trust-region and adaptive cubic regularization subproblems. Comput. Optim. Appl. El Houcine Bergou, Youssef Diouane, Serge Gratton
2016	J	`jnl`	Levenberg-Marquardt Methods Based on Probabilistic Gradient Models and Inexact Subproblem Solution, with Application to Data Assimilation. SIAM/ASA J. Uncertain. Quantification El Houcine Bergou, Serge Gratton, Luís Nunes Vicente
2016	J	`jnl`	Limited memory preconditioners for symmetric indefinite problems with application to structural mechanics. Numer. Linear Algebra Appl. Serge Gratton, Sylvain Mercier, Nicolas Tardieu, Xavier Vasseur
2016	J	`jnl`	On a second-order expansion of the truncated singular subspace decomposition. Numer. Linear Algebra Appl. Serge Gratton, Jean Tshimanga Ilunga
2016	J	`jnl`	Reducing complexity of algebraic multigrid by aggregation. Numer. Linear Algebra Appl. Serge Gratton, Pascal Hénon, Pavel Jiránek, Xavier Vasseur
2015	C	`conf`	Conjugate gradient algorithm in Banach spaces to enhance the spatial resolution of microwave remote sensing data. IGARSS Flavia Lenti, Claudio Estatico, David Titley-Péloquin, Ferdinando Nunziata, Maurizio Migliaccio, Serge Gratton
2015	J	`jnl`	Direct Search Based on Probabilistic Descent. SIAM J. Optim. Serge Gratton, Clément W. Royer, Luís Nunes Vicente, Zaikun Zhang
2015	J	`jnl`	Globally convergent evolution strategies for constrained optimization. Comput. Optim. Appl. Youssef Diouane, Serge Gratton, Luís Nunes Vicente
2015	J	`jnl`	Globally convergent evolution strategies. Math. Program. Youssef Diouane, Serge Gratton, Luís Nunes Vicente
2015	J	`jnl`	Observation thinning in data assimilation computations. EURO J. Comput. Optim. Serge Gratton, M. Monserrat Rincon-Camacho, Ehouarn Simon, Philippe L. Toint
2015	J	`jnl`	Quasi-Newton updates with weighted secant equations. Optim. Methods Softw. Serge Gratton, Vincent Malmedy, Philippe L. Toint
2014	J	`jnl`	A Merit Function Approach for Direct Search. SIAM J. Optim. Serge Gratton, Luís Nunes Vicente
2014	J	`jnl`	A surrogate management framework using rigorous trust-region steps. Optim. Methods Softw. Serge Gratton, Luís Nunes Vicente
2014	J	`jnl`	Differentiating the Method of Conjugate Gradients. SIAM J. Matrix Anal. Appl. Serge Gratton, David Titley-Péloquin, Philippe L. Toint, Jean Tshimanga Ilunga
2014	J	`jnl`	Stochastic Conditioning of Matrix Functions. SIAM/ASA J. Uncertain. Quantification Serge Gratton, David Titley-Péloquin
2014	J	`jnl`	The Exact Condition Number of the Truncated Singular Value Solution of a Linear Ill-Posed Problem. SIAM J. Matrix Anal. Appl. El Houcine Bergou, Serge Gratton, Jean Tshimanga Ilunga
2013	J	`jnl`	A Modified Block Flexible GMRES Method with Deflation at Each Iteration for the Solution of Non-Hermitian Linear Systems with Multiple Right-Hand Sides. SIAM J. Sci. Comput. Henri Calandra, Serge Gratton, Rafael Lago, Xavier Vasseur, Luiz Mariano Carvalho
2013	J	`jnl`	An improved two-grid preconditioner for the solution of three-dimensional Helmholtz problems in heterogeneous media. Numer. Linear Algebra Appl. Henri Calandra, Serge Gratton, Xavier Pinel, Xavier Vasseur
2013	J	`jnl`	Preconditioning and globalizing conjugate gradients in dual space for quadratically penalized nonlinear-least squares problems. Comput. Optim. Appl. Serge Gratton, Selime Gürol, Philippe L. Toint
2013	J	`jnl`	Sensitivity and Conditioning of the Truncated Total Least Squares Solution. SIAM J. Matrix Anal. Appl. Serge Gratton, David Titley-Péloquin, Jean Tshimanga Ilunga
2013	—	`conf`	Statistical Estimates for the Conditioning of Linear Least Squares Problems. PPAM (1) Marc Baboulin, Serge Gratton, Rémi Lacroix, Alan J. Laub
2012	J	`jnl`	Flexible Variants of Block Restarted GMRES Methods with Application to Geophysics. SIAM J. Sci. Comput. Henri Calandra, Serge Gratton, Julien Langou, Xavier Pinel, Xavier Vasseur
2012	J	`jnl`	Linear regression models, least-squares problems, normal equations, and stopping criteria for the conjugate gradient method. Comput. Phys. Commun. Mario Arioli, Serge Gratton
2012	J	`jnl`	On the Accuracy of the Karlson-Waldén Estimate of the Backward Error for Linear Least Squares Problems. SIAM J. Matrix Anal. Appl. Serge Gratton, Pavel Jiránek, David Titley-Péloquin
2012	J	`jnl`	Using approximate secant equations in limited memory methods for multilevel unconstrained optimization. Comput. Optim. Appl. Serge Gratton, Vincent Malmedy, Philippe L. Toint
2011	J	`jnl`	A Contribution to the Conditioning of the Total Least-Squares Problem. SIAM J. Matrix Anal. Appl. Marc Baboulin, Serge Gratton
2011	J	`jnl`	A Flexible Generalized Conjugate Residual Method with Inner Orthogonalization and Deflated Restarting. SIAM J. Matrix Anal. Appl. Luiz Mariano Carvalho, Serge Gratton, Rafael Lago, Xavier Vasseur
2011	J	`jnl`	An active-set trust-region method for derivative-free nonlinear bound-constrained optimization. Optim. Methods Softw. Serge Gratton, Philippe L. Toint, Anke Tröltzsch
2011	J	`jnl`	Fast regularized linear sampling for inverse scattering problems. Numer. Linear Algebra Appl. M'Barek Fares, Serge Gratton, Philippe L. Toint
2011	J	`jnl`	On A Class of Limited Memory Preconditioners For Large Scale Linear Systems With Multiple Right-Hand Sides. SIAM J. Optim. Serge Gratton, Annick Sartenaer, Jean Tshimanga Ilunga
2011	J	`jnl`	Range-Space Variants and Inexact Matrix-Vector Products in Krylov Solvers for Linear Systems Arising from Inverse Problems. SIAM J. Matrix Anal. Appl. Serge Gratton, Philippe L. Toint, Jean Tshimanga Ilunga
2011	J	`jnl`	Stopping rules and backward error analysis for bound-constrained optimization. Numerische Mathematik Serge Gratton, Mélodie Mouffe, Philippe L. Toint
2011	—	`conf`	Variable Neighborhood Search for Robust Optimization and Applications to Aerodynamics. LSSC Antonio Mucherino, Martin Fuchs, Xavier Vasseur, Serge Gratton
2010	J	`jnl`	A contribution to the conditioning of the total least squares problem CoRR Marc Baboulin, Serge Gratton
2010	J	`jnl`	Approximate invariant subspaces and quasi-newton optimization methods. Optim. Methods Softw. Serge Gratton, Philippe L. Toint
2010	J	`jnl`	Flexible GMRES with Deflated Restarting. SIAM J. Sci. Comput. Luc Giraud, Serge Gratton, Xavier Pinel, Xavier Vasseur
2010	J	`jnl`	Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization. Optim. Methods Softw. Serge Gratton, Mélodie Mouffe, Annick Sartenaer, Philippe L. Toint, Dimitri Tomanos
2009	J	`jnl`	Computing the conditioning of the components of a linear least-squares solution. Numer. Linear Algebra Appl. Marc Baboulin, Jack J. Dongarra, Serge Gratton, Julien Langou
2008	J	`jnl`	Algorithm 881: A Set of Flexible GMRES Routines for Real and Complex Arithmetics on High-Performance Computers. ACM Trans. Math. Softw. Valérie Frayssé, Luc Giraud, Serge Gratton
2008	J	`jnl`	Recursive Trust-Region Methods for Multiscale Nonlinear Optimization. SIAM J. Optim. Serge Gratton, Annick Sartenaer, Philippe L. Toint
2007	J	`jnl`	A Note on GMRES Preconditioned by a Perturbed L D L SIAM J. Sci. Comput. Mario Arioli, Iain S. Duff, Serge Gratton, Stéphane Pralet
2007	J	`jnl`	A Partial Condition Number for Linear Least Squares Problems. SIAM J. Matrix Anal. Appl. Mario Arioli, Marc Baboulin, Serge Gratton
2007	J	`jnl`	A distributed packed storage for large dense parallel in-core calculations. Concurr. Comput. Pract. Exp. Marc Baboulin, Luc Giraud, Serge Gratton, Julien Langou
2007	J	`jnl`	A priori selection of the regularization parameters in emission tomography by Fourier synthesis. Comput. Medical Imaging Graph. Denis Mariano-Goulart, P. Maréchal, Serge Gratton, Luc Giraud, M. Fourcade
2007	J	`jnl`	Additive and Multiplicative Two-Level Spectral Preconditioning for General Linear Systems. SIAM J. Sci. Comput. Bruno Carpentieri, Luc Giraud, Serge Gratton
2007	J	`jnl`	Approximate Gauss-Newton Methods for Nonlinear Least Squares Problems. SIAM J. Optim. Serge Gratton, Amos S. Lawless, Nancy K. Nichols
2007	J	`jnl`	Convergence in Backward Error of Relaxed GMRES. SIAM J. Sci. Comput. Luc Giraud, Serge Gratton, Julien Langou
2007	J	`jnl`	Multilevel algorithm for a Poisson noise removal model with total-variation regularization. Int. J. Comput. Math. Iain S. Duff, Serge Gratton, Xavier Pinel, Xavier Vasseur
2006	J	`jnl`	On the Sensitivity of Some Spectral Preconditioners. SIAM J. Matrix Anal. Appl. Luc Giraud, Serge Gratton
2005	J	`jnl`	A Parallel Distributed Solver for Large Dense Symmetric Systems: Applications to Geodesy and Electromagnetism Problems. Int. J. High Perform. Comput. Appl. Marc Baboulin, Luc Giraud, Serge Gratton
2005	J	`jnl`	Algorithm 842: A set of GMRES routines for real and complex arithmetics on high performance computers. ACM Trans. Math. Softw. Valérie Frayssé, Luc Giraud, Serge Gratton, Julien Langou
2004	J	`jnl`	A Rank- SIAM J. Matrix Anal. Appl. Luc Giraud, Serge Gratton, Julien Langou
2004	—	`conf`	Towards Automatic Selection of the Regularization Parameters in Emission Tomgraphy by Fourier Synthesis. ECCV Workshops CVAMIA and MMBIA P. Maréchal, Denis Mariano-Goulart, Luc Giraud, Serge Gratton
2003	C	`conf`	Self characterization of modelling parameters for synthetic aperture imaging radiometers. IGARSS Eric Anterrieu, Serge Gratton, Bruno Picard
2000	J	`jnl`	On the condition numbers associated with the polar factorization of a matrix. Numer. Linear Algebra Appl. Françoise Chaitin-Chatelin, Serge Gratton