Publications de Philippe TOINT
Serge Gratton, Philippe L. Toint
OFFO minimization algorithms for second-order optimality and their complexity
Computational Optimization and Applications, 2022, 84, pp.573-607. ⟨10.1007/s10589-022-00435-2⟩
Serge Gratton, Ehouarn Simon, David Titley-Peloquin, Philippe Toint
A note on inexact inner products in GMRES
SIAM Journal on Matrix Analysis and Applications, 2022, 43 (3)
Serge Gratton, Ehouarn Simon, David Titley-Peloquin, Philippe Toint
Minimizing convex quadratics with variable precision conjugate gradients
Numerical Linear Algebra with Applications, 2021, 28 (e2337)
A note on solving nonlinear optimization problems in variable precision
Computational Optimization and Applications, 2020, pp.1-15
Serge Gratton, Ehouarn Simon, Philippe Toint
An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity
Mathematical Programming, Series A, 2020, ⟨10.1007/s10107-020-01466-5⟩
Serge Gratton, Selime Gürol, Ehouarn Simon, Philippe Toint
Guaranteeing the convergence of the saddle formulation for weakly constrained 4D‐Var data assimilation
Quarterly Journal of the Royal Meteorological Society, 2018, 144 (717), pp.2592-2602. ⟨10.1002/qj.3355⟩
Serge Gratton, Selime Gürol, Ehouarn Simon, Philippe Toint
A note on preconditioning weighted linear least-squares, with consequences for weakly constrained variational data assimilation
Quarterly Journal of the Royal Meteorological Society, 2018, 144 (712), pp.934-940. ⟨10.1002/qj.3262⟩
Serge Gratton, Monserrat Rincon-Camacho, Ehouarn Simon, Philippe Toint
Observation Thinning in Data Assimilation Computations
Dans : EURO Journal on Computational Optimization, Association of European Operational Research Societies, Suisse, Vol. 3 N. 1, p. 31-51, 2015.
Serge Gratton, David Titley-Peloquin, Philippe Toint, Jean Tshimanga Ilunga
Differentiating the Method of Conjugate Gradients
Dans : SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 35 N. 1, p. 110-126, 2014.
Serge Gratton, Philippe Toint, Jean Tshimanga Ilunga
Conjugate-gradients versus multigrid solvers for diffusion-based correlation models in data assimilation
Dans : Quarterly Journal of the Royal Meteorological Society, Wiley, Vol. 139 N. 675, p. 1481-1487, 2014.
Serge Gratton, Selime Gurol, Philippe Toint
Preconditioning and Globalizing Conjugate Gradients in Dual Space for Quadratically Penalized Nonlinear-Least Squares Problems
Dans : Computational Optimization and Applications, Springer, Vol. 54 N. 1, p. 1-25, 2013.
Serge Gratton, Vincent Malmedy, Philippe Toint
Using approximate secant equations in limited memory methods for multilevel unconstrained optimization
Dans : Computational Optimization and Applications, Springer, Vol. 51 N. 3, p. 967-979, 2012.
Serge Gratton, Philippe Toint, Anke Troeltzsch
An active-set trust-region method for derivative-free nonlinear bound-constrained optimization
Dans : Optimization Methods and Software, Taylor & Francis Online, Vol. 21 N. 4-5, p. 873-894, 2011.
Serge Gratton, Mélodie Mouffe, Philippe Toint
Stopping rules and backward error analysis for bound-constrained optimization
Dans : Numerische Mathematik, Springer, Vol. 119, p. 163-187, 2011.
Serge Gratton, Philippe Toint, Jean Tshimanga Ilunga
Range-Space Variants and Inexact Matrix-Vector Products in Krylov Solvers for Linear Systems Arising from Inverse Problems
Dans : SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 32 N. 3, p. 969-986, 2011.
M’Barek Fares, Serge Gratton, Philippe Toint
Fast regularized linear sampling for inverse scattering problems,
Dans : Numerical Linear Algebra with Applications, Wiley, Vol. 18(1), p. 55-68, 2011.
Mélodie Mouffe, Annick Sartenaer, Serge Gratton, Philippe Toint, Dimitri Tomanos
Numerical Experience with a Recursive Trust-Region Method for Multilevel Nonlinear Optimization.
Dans : , Vol. 25 N. 3, p. 359-386, 2010 (à paraître).
Serge Gratton, Selime Gurol, Ehouarn Simon, Philippe Toint
Issues in making the weakly-constrained 4DVar formulation computationally efficient
Griewank, Andreas; Reich, Sebastian; Roulstone, Ian; Stuart, Andrew. Mathematical and Algorithmic Aspects of Data Assimilation in the Geosciences, 13 (4), Mathematisches Forschungsinstitut Oberwolfach, pp.2705-2748, 2017, Oberwolfach Reports, ISSN: 1660-8933. ⟨10.4171/OWR/2016/47⟩
Serge Gratton, Valentin Mercier, Elisa Riccietti, Philippe L Toint
A Block-Coordinate Approach of Multi-level Optimization with an Application to Physics-Informed Neural Networks
2023
Serge Gratton, Philippe L. Toint
OFFO minimization algorithms for second-order optimality and their complexity
2022
Serge Gratton, SADOK JERAD, Philippe L. Toint
Parametric complexity analysis for a class of first-order Adagrad-like algorithms
2022
Serge Gratton, SADOK JERAD, Philippe L. Toint
First-Order Objective-Function-Free Optimization Algorithms and Their Complexity
2022
Serge Gratton, SADOK JERAD, Philippe L. Toint
Convergence properties of an Objective-Function-Free Optimization regularization algorithm, including an $\mathcal{O}(\epsilon^{-3/2})$ complexity bound
2022
Serge Gratton, Ehouarn Simon, David Titley-Peloquin, Philippe Toint
Exploiting variable precision in GMRES
2020