Articles

Hare W., Jarry-Bolduc G., Kerleau S., Royer C. (2024), Using orthogonally structured positive bases for constructing positive k-spanning sets with cosine measure guarantees, Linear Algebra and its Applications, vol. 680, p. 183-207

Roberts L., Royer C. (2023), Direct Search Based on Probabilistic Descent in Reduced Spaces, SIAM Journal on Optimization, vol. 33, n°4, p. 3057-3082

Bergou E., Diouane Y., Kunc V., Kungurtsev V., Royer C. (2022), A Subsampling Line-Search Method with Second-Order Results, INFORMS Journal on Optimization, vol. 4, n°4, p. 347-445

Bergou E., Diouane Y., Kungurtsev V., Royer C. (2022), A stochastic Levenberg-Marquardt method using random models with complexity results, SIAM/ASA Journal on Uncertainty Quantification, vol. 10, n°1, p. 507-536

Chan-Renous-Legoubin R., Royer C. (2022), A nonlinear conjugate gradient method with complexity guarantees and its application to nonconvex regression, EURO Journal on Computational Optimization, vol. 10, p. 100044

Curtis F., Robinson D., Royer C., Wright S. (2021), Trust-Region Newton-CG with Strong Second-Order Complexity Guarantees for Nonconvex Optimization, SIAM Journal on Optimization, vol. 31, n°1, p. 518-544

Bergou E., Diouane Y., Kungurtsev V., Royer C. (2021), A Nonmonotone Matrix-Free Algorithm for Nonlinear Equality-Constrained Least-Squares Problems, SIAM Journal on Scientific Computing, vol. 43, n°5, p. S743-S766

Royer C., O’Neill M., Wright S. (2020), A Newton-CG algorithm with complexity guarantees for smooth unconstrained optimization, Mathematical Programming, vol. 180, n°1-2, p. 451–488

Gratton S., Royer C., Vicente L. (2020), A decoupled first/second-order steps technique for nonconvex nonlinear unconstrained optimization with improved complexity bounds, Mathematical Programming, vol. 179, n°1-2, p. 195–222

Gratton S., Royer C., Vicente L., Zhang Z. (2019), Direct search based on probabilistic feasible descent for bound and linearly constrained problems, Computational Optimization and Applications, vol. 72, n°3, p. 525-559

Royer C., Wright S. (2018), Complexity Analysis of Second-Order Line-Search Algorithms for Smooth Nonconvex Optimization, SIAM Journal on Optimization, vol. 28, n°2, p. 1448-1477

Gratton S., Royer C., Vicente L., Zhang Z. (2018), Complexity and global rates of trust-region methods based on probabilistic models, IMA Journal of Numerical Analysis, vol. 38, n°3, p. 1579-1597

Gratton S., Royer C., Vicente L. (2015), A second-order globally convergent direct-search method and its worst-case complexity, Optimization. A Journal of Mathematical Programming and Operations Research, vol. 65, n°6, p. 1105-1128

Gratton S., Royer C., Vicente L., Zhang Z. (2015), Direct Search Based on Probabilistic Descent, SIAM Journal on Optimization, vol. 25, n°3, p. 1515-1541

Chapitres d'ouvrage

Caillau J-B., Royer C. (2014), On the injectivity and nonfocal domains of the ellipsoid of revolution, in Gianna Stefani, Ugo Boscain, Jean-Paul Gauthier, Andrey Sarychev, Mario Sigalotti, Geometric Control Theory and Sub-Riemannian Geometry, Cortona: Springer, p. 73-85

Communications avec actes

Meunier L., Chevaleyre Y., Rapin J., Royer C., Teytaud O. (2020), On Averaging the Best Samples in Evolutionary Computation, in Thomas Bäck, Mike Preuss, André Deutz, Berlin Heidelberg, Springer, 661-674 p.

Prépublications / Cahiers de recherche

Goyens F., Royer C. (2024), Riemannian trust-region methods for strict saddle functions with complexity guarantees, Paris, Preprint Lamsade, 1-36 p.