Serge Gratton
Orcid: 0000-0002-5021-2357
According to our database1,
Serge Gratton
authored at least 88 papers
between 2000 and 2024.
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Bibliography
2024
A non-linear conjugate gradient in dual space for L<sub>p</sub>-norm regularized non-linear least squares with application in data assimilation.
Numer. Algorithms, January, 2024
2023
Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training.
SIAM J. Optim., December, 2023
Optim. Methods Softw., November, 2023
Convergence Properties of an Objective-Function-Free Optimization Regularization Algorithm, Including an \(\boldsymbol{\mathcal{O}(\epsilon^{-3/2})}\) Complexity Bound.
SIAM J. Optim., September, 2023
Comput. Optim. Appl., March, 2023
A filtered multilevel Monte Carlo method for estimating the expectation of discretized random fields.
CoRR, 2023
A Block-Coordinate Approach of Multi-level Optimization with an Application to Physics-Informed Neural Networks.
CoRR, 2023
2022
SIAM J. Matrix Anal. Appl., September, 2022
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., 2022
CoRR, 2022
2021
Numer. Linear Algebra Appl., 2021
An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity.
Math. Program., 2021
Hölder Gradient Descent and Adaptive Regularization Methods in Banach Spaces for First-Order Points.
CoRR, 2021
2020
SIAM J. Matrix Anal. Appl., 2020
A decoupled first/second-order steps technique for nonconvex nonlinear unconstrained optimization with improved complexity bounds.
Math. Program., 2020
SIAM/ASA J. Uncertain. Quantification, 2020
DAN - An optimal Data Assimilation framework based on machine learning Recurrent Networks.
CoRR, 2020
Comput. Optim. Appl., 2020
2019
CoRR, 2019
On the approximation of the solution of partial differential equations by artificial neural networks trained by a multilevel Levenberg-Marquardt method.
CoRR, 2019
Direct search based on probabilistic feasible descent for bound and linearly constrained problems.
Comput. Optim. Appl., 2019
2018
Low rank updates in preconditioning the saddle point systems arising from data assimilation problems.
Optim. Methods Softw., 2018
A Levenberg-Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients.
Numerische Mathematik, 2018
A Line-Search Algorithm Inspired by the Adaptive Cubic Regularization Framework and Complexity Analysis.
J. Optim. Theory Appl., 2018
Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening.
Comput. Vis. Sci., 2018
2017
On the Symmetric Componentwise Relative Backward Error for Linear Systems of Equations.
SIAM J. Matrix Anal. Appl., 2017
Oper. Res. Lett., 2017
Numerische Mathematik, 2017
On the use of the energy norm in trust-region and adaptive cubic regularization subproblems.
Comput. Optim. Appl., 2017
2016
Limited memory preconditioners for symmetric indefinite problems with application to structural mechanics.
Numer. Linear Algebra Appl., 2016
Numer. Linear Algebra Appl., 2016
Numer. Linear Algebra Appl., 2016
Levenberg-Marquardt Methods Based on Probabilistic Gradient Models and Inexact Subproblem Solution, with Application to Data Assimilation.
SIAM/ASA J. Uncertain. Quantification, 2016
2015
Comput. Optim. Appl., 2015
Conjugate gradient algorithm in Banach spaces to enhance the spatial resolution of microwave remote sensing data.
Proceedings of the 2015 IEEE International Geoscience and Remote Sensing Symposium, 2015
2014
The Exact Condition Number of the Truncated Singular Value Solution of a Linear Ill-Posed Problem.
SIAM J. Matrix Anal. Appl., 2014
Optim. Methods Softw., 2014
SIAM/ASA J. Uncertain. Quantification, 2014
2013
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., 2013
SIAM J. Matrix Anal. Appl., 2013
An improved two-grid preconditioner for the solution of three-dimensional Helmholtz problems in heterogeneous media.
Numer. Linear Algebra Appl., 2013
Preconditioning and globalizing conjugate gradients in dual space for quadratically penalized nonlinear-least squares problems.
Comput. Optim. Appl., 2013
Proceedings of the Parallel Processing and Applied Mathematics, 2013
2012
SIAM J. Sci. Comput., 2012
On the Accuracy of the Karlson-Waldén Estimate of the Backward Error for Linear Least Squares Problems.
SIAM J. Matrix Anal. Appl., 2012
Linear regression models, least-squares problems, normal equations, and stopping criteria for the conjugate gradient method.
Comput. Phys. Commun., 2012
Using approximate secant equations in limited memory methods for multilevel unconstrained optimization.
Comput. Optim. Appl., 2012
2011
Range-Space Variants and Inexact Matrix-Vector Products in Krylov Solvers for Linear Systems Arising from Inverse Problems.
SIAM J. Matrix Anal. Appl., 2011
A Flexible Generalized Conjugate Residual Method with Inner Orthogonalization and Deflated Restarting.
SIAM J. Matrix Anal. Appl., 2011
SIAM J. Matrix Anal. Appl., 2011
On A Class of Limited Memory Preconditioners For Large Scale Linear Systems With Multiple Right-Hand Sides.
SIAM J. Optim., 2011
An active-set trust-region method for derivative-free nonlinear bound-constrained optimization.
Optim. Methods Softw., 2011
Numerische Mathematik, 2011
Numer. Linear Algebra Appl., 2011
Variable Neighborhood Search for Robust Optimization and Applications to Aerodynamics.
Proceedings of the Large-Scale Scientific Computing - 8th International Conference, 2011
2010
Optim. Methods Softw., 2010
Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization.
Optim. Methods Softw., 2010
2009
Numer. Linear Algebra Appl., 2009
2008
Algorithm 881: A Set of Flexible GMRES Routines for Real and Complex Arithmetics on High-Performance Computers.
ACM Trans. Math. Softw., 2008
SIAM J. Optim., 2008
2007
Additive and Multiplicative Two-Level Spectral Preconditioning for General Linear Systems.
SIAM J. Sci. Comput., 2007
A Note on GMRES Preconditioned by a Perturbed L D L<sup>T</sup> Decomposition with Static Pivoting.
SIAM J. Sci. Comput., 2007
SIAM J. Matrix Anal. Appl., 2007
SIAM J. Optim., 2007
Multilevel algorithm for a Poisson noise removal model with total-variation regularization.
Int. J. Comput. Math., 2007
Concurr. Comput. Pract. Exp., 2007
A priori selection of the regularization parameters in emission tomography by Fourier synthesis.
Comput. Medical Imaging Graph., 2007
2006
SIAM J. Matrix Anal. Appl., 2006
2005
Algorithm 842: A set of GMRES routines for real and complex arithmetics on high performance computers.
ACM Trans. Math. Softw., 2005
A Parallel Distributed Solver for Large Dense Symmetric Systems: Applications to Geodesy and Electromagnetism Problems.
Int. J. High Perform. Comput. Appl., 2005
2004
A Rank-<i>k</i> Update Procedure for Reorthogonalizing the Orthogonal Factor from Modified Gram-Schmidt.
SIAM J. Matrix Anal. Appl., 2004
Towards Automatic Selection of the Regularization Parameters in Emission Tomgraphy by Fourier Synthesis.
Proceedings of the Computer Vision and Mathematical Methods in Medical and Biomedical Image Analysis, 2004
2003
Self characterization of modelling parameters for synthetic aperture imaging radiometers.
Proceedings of the 2003 IEEE International Geoscience and Remote Sensing Symposium, 2003
2000
Numer. Linear Algebra Appl., 2000