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A decoupled first/second-order steps technique for nonconvex nonlinear unconstrained optimization with improved complexity bounds

Serge Gratton , Clément Royer , Luís N. Vicente
Mathematical Programming, 2020, 179 (1-2), pp.195-222. ⟨10.1007/s10107-018-1328-7⟩
Article dans une revue hal-02774511v1

A nonlinear conjugate gradient method with complexity guarantees and its application to nonconvex regression

Rémi Chan--Renous-Legoubin , Clément Royer
EURO Journal on Computational Optimization, 2022, 10, pp.100044. ⟨10.1016/j.ejco.2022.100044⟩
Article dans une revue hal-03866347v1

Using orthogonally structured positive bases for constructing positive k-spanning sets with cosine measure guarantees

Warren Hare , Gabriel Jarry-Bolduc , Sébastien Kerleau , Clément Royer
Linear Algebra and its Applications, 2024, 680, pp.183-207. ⟨10.1016/j.laa.2023.10.006⟩
Article dans une revue hal-04334281v1
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Direct Search Based on Probabilistic Descent

Serge Gratton , Clément Royer , Luis Vicente , Zaikun Zhang
SIAM Journal on Optimization, 2015, vol. 25 (n° 3), pp. 1515-1541. ⟨10.1137/140961602⟩
Article dans une revue hal-01523690v1

Direct Search Based on Probabilistic Descent in Reduced Spaces

Lindon Roberts , Clément Royer
SIAM Journal on Optimization, 2023, 33 (4), pp.3057-3082. ⟨10.1137/22M1488569⟩
Article dans une revue hal-04334275v1
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A second-order globally convergent direct-search method and its worst-case complexity

Serge Gratton , Clément Royer , Luis Vicente
Optimization, 2015, 65 (6), pp.1105-1128. ⟨10.1080/02331934.2015.1124271⟩
Article dans une revue hal-01515985v1
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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⟩
Article dans une revue hal-02147973v1

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⟩
Article dans une revue hal-02774086v1

Complexity Analysis of Second-Order Line-Search Algorithms for Smooth Nonconvex Optimization

Clément Royer , Stephen J. Wright
SIAM Journal on Optimization, 2018, 28 (2), pp.1448-1477. ⟨10.1137/17M1134329⟩
Article dans une revue hal-02773951v1

A Subsampling Line-Search Method with Second-Order Results

El Houcine Bergou , Youssef Diouane , Vladimir Kunc , Vyacheslav Kungurtsev , Clément Royer
INFORMS Journal on Optimization, 2022, 4 (4), pp.403-425. ⟨10.1287/ijoo.2022.0072⟩
Article dans une revue hal-03946165v1

On the injectivity and nonfocal domains of the ellipsoid of revolution

Jean-Baptiste Caillau , Clément Royer
Proceedings of the INDAM meeting on Geometric Control and sub-Riemannian geometry, 5, Springer, pp.73-85, 2014, Indam series, ⟨10.1007/978-3-319-02132-4_5⟩
Chapitre d'ouvrage hal-01315530v1

Trust-Region Newton-CG with Strong Second-Order Complexity Guarantees for Nonconvex Optimization

Frank Curtis , Daniel Robinson , Clément Royer , Stephen Wright
SIAM Journal on Optimization, 2021, 31 (1), pp.518-544. ⟨10.1137/19M130563X⟩
Article dans une revue hal-03135526v1
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Derivative-free optimization methods based on probabilistic and deterministic properties : complexity analysis and numerical relevance

Clément Royer
General Mathematics [math.GM]. Université Paul Sabatier - Toulouse III, 2016. English. ⟨NNT : 2016TOU30207⟩
Thèse tel-01688027v1

On Averaging the Best Samples in Evolutionary Computation

Laurent Meunier , Yann Chevaleyre , Jeremy Rapin , Clément Royer , Olivier Teytaud
Parallel Problem Solving from Nature – PPSN XVI. PPSN 2020, pp.661-674, 2020, ⟨10.1007/978-3-030-58115-2_46⟩
Chapitre d'ouvrage hal-03135540v1

A Newton-CG algorithm with complexity guarantees for smooth unconstrained optimization

Clément Royer , Michael O'Neill , Stephen J. Wright
Mathematical Programming, 2020, 180 (1-2), pp.451-488. ⟨10.1007/s10107-019-01362-7⟩
Article dans une revue hal-02774602v1

Detecting negative eigenvalues of exact and approximate Hessian matrices in optimization

Warren Hare , Clément Royer
Optimization Letters, 2023, 17, pp.1739-1756. ⟨10.1007/s11590-023-02033-5⟩
Article dans une revue hal-04334269v1

A Stochastic Levenberg--Marquardt Method Using Random Models with Complexity Results

El Houcine Bergou , Youssef Diouane , Vyacheslav Kungurtsev , Clément Royer
SIAM/ASA Journal on Uncertainty Quantification, 2022, 10 (1), pp.507-536. ⟨10.1137/20M1366253⟩
Article dans une revue hal-03866363v1