Publications

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Prépublications Revues & chapitres Conférences avec comité Conférences sans comité Rapports techniques Thèse & HDR
Prépublications
2026
Continuized Nesterov Momentum Achieves the O(ε−7/4) Complexity in Smooth Nonconvex Optimization
J. Hermant, J.-F. Aujol, Ch. Dossal, L. Huang, A. Rondepierre, I. Waldspurger
arXiv preprint, février 2026
2025
Continuized Nesterov Acceleration for Non-Convex Optimization
J. Hermant, J.-F. Aujol, Ch. Dossal, L. Huang, A. Rondepierre
arXiv preprint, décembre 2025
2025
Heavy Ball Momentum for Non-Strongly Convex Optimization
J.-F. Aujol, Ch. Dossal, H. Labarrière, A. Rondepierre
Soumis, janvier 2025
Revues internationales et chapitres de livre avec comité de lecture
2026
Strong convergence of FISTA iterates under Hölderian and Quadratic Growth conditions
J.-F. Aujol, Ch. Dossal, H. Labarrière, A. Rondepierre
Mathematical Programming, Series B, 2026 (en ligne)
2026
Locally convergent bi-level MDO architectures based on the block coordinate descent algorithm
Y. David, F. Gallard, A. Rondepierre
Journal of Optimization Theory and Applications, Vol 211, art. 32, 2026
2026
Study of the behaviour of Nesterov Accelerated Gradient in a non convex setting: the strongly quasar convex case
J. Hermant, J.-F. Aujol, Ch. Dossal, A. Rondepierre
Optimization, juin 2026, 1–26
2025
FISTA restart using an automatic estimation of the growth parameter
J.-F. Aujol, Ch. Dossal, H. Labarrière, A. Rondepierre
Journal of Optimization Theory and Applications, Vol 206, art. 51, 2025
2024
Parameter free FISTA by adaptive restart and backtracking
J.-F. Aujol, L. Calatroni, Ch. Dossal, H. Labarrière, A. Rondepierre
SIAM Journal on Optimization, Vol 34 (4), pp. 3259–3285, 2024
2024
Stochastic Differential Equations for modeling first-order optimization methods
M. Dambrine, Ch. Dossal, B. Puig, A. Rondepierre
SIAM Journal on Optimization, Vol 34 (2), pp. 1402–1426, 2024
2023
Fast convergence of inertial dynamics with Hessian-driven damping under geometry assumptions
J.-F. Aujol, Ch. Dossal, V.H. Hoang, H. Labarrière, A. Rondepierre
Applied Mathematics & Optimization, Vol 88, art. 81, 2023
2023
FISTA is an automatic geometrically optimized algorithm for strongly convex functions
J.-F. Aujol, Ch. Dossal, A. Rondepierre
Mathematical Programming, Series A, Vol 204, pp. 449–491, 2023
2023
Convergence rates of the Heavy Ball method under the Łojasiewicz property
J.-F. Aujol, Ch. Dossal, A. Rondepierre
Mathematical Programming, Vol 198, pp. 195–254, 2023
2022
Convergence rates of the Heavy Ball method for quasi-strongly convex optimization
J.-F. Aujol, Ch. Dossal, A. Rondepierre
SIAM Journal on Optimization, Vol 32 (3), pp. 1817–1842, 2022
2021
Convergence rates of an inertial gradient descent algorithm under growth and flatness conditions
V. Apidopoulos, J.-F. Aujol, Ch. Dossal, A. Rondepierre
Mathematical Programming, Vol 187 (1-2), pp. 151–193, 2021
2020
Convergence rates of damped inertial dynamics under geometric conditions
O. Sebbouh, Ch. Dossal, A. Rondepierre
SIAM Journal on Optimization, Vol 30 (3), pp. 1850–1877, 2020
2019
Optimal convergence rates for Nesterov acceleration
J.-F. Aujol, Ch. Dossal, A. Rondepierre
SIAM Journal on Optimization, Vol 29 (4), pp. 3131–3153, 2019
2019
Robust control of a cable from a hyperbolic partial differential equation model
L. Baudouin, A. Rondepierre, S. Neild
IEEE Transactions on Control Systems Technology, Vol 27 (3), pp. 1343–1351, 2019
2018
Analytical solutions for impulsive elliptic out-of-plane rendezvous problem via primer vector theory
R. Serra, D. Arzelier, A. Rondepierre
IEEE Transactions on Control Systems Technology, Vol 26 (1), pp. 207–221, 2018
2016
Fast and Accurate Computation of Orbital Collision Probability for Short-Term encounters
R. Serra, D. Arzelier, M. Joldes, J.-B. Lasserre, A. Rondepierre, B. Salvy
Journal of Guidance, Control, and Dynamics, Vol 39 (5), pp. 1009–1021, 2016
2016
A Robust Optimization Methodology for Preliminary Aircraft Design
S. Prigent, P. Maréchal, A. Rondepierre, T. Druot, M. Belleville
Engineering Optimization, Vol 48 (5), pp. 883–899, 2016
2016
On local convergence of the method of alternating projections
D. Noll, A. Rondepierre
Foundations of Computational Mathematics, Vol 16 (2), pp. 425–455, 2016
2015
Probabilistic Collision Avoidance for Long-term Space Encounters via Risk Selection
R. Serra, D. Arzelier, M.M. Joldes, A. Rondepierre
Advances in Aerospace Guidance, Navigation and Control, Springer, Part IV, pp. 679–698, 2015
2013
A New Mixed Iterative Algorithm to Solve the Fuel-Optimal Linear Impulsive Rendezvous Problem
D. Arzelier, C. Louembet, A. Rondepierre, M. Kara-Zaitri
Journal of Optimization Theory and Applications, Vol 159 (1), pp. 210–230, 2013
2013
Convergence of linesearch and trust region methods using the Kurdyka–Łojasiewicz inequality
D. Noll, A. Rondepierre
Computational and Analytical Mathematics, Springer Proceedings in Mathematics & Statistics, Vol 50, pp. 593–611, 2013
2009
A proximal approach to the inversion of ill-conditioned matrices
P. Maréchal, A. Rondepierre
Comptes Rendus Mathématique, Vol 347 (23-24), pp. 1435–1438, 2009
2008
A proximity control algorithm to minimize nonsmooth and nonconvex functions
D. Noll, O. Prot, A. Rondepierre
Pacific Journal of Optimization, Vol 4 (3), pp. 571–604, 2008
2008
Mixed H₂/H∞ control via nonsmooth optimization
P. Apkarian, D. Noll, A. Rondepierre
SIAM Journal on Control and Optimization, Vol 47 (3), pp. 1516–1546, 2008
Actes de conférences internationales avec comité de lecture
2025
Gradient correlation is a key ingredient to accelerate SGD with momentum
J. Hermant, M. Renaud, J.-F. Aujol, Ch. Dossal, A. Rondepierre
International Conference on Learning Representations (ICLR), Singapour, 2025
2021
Polynomial superlevel set approximation of swept-volume for computing collision probability in space encounter
D. Arzelier, F. Bréhard, M. Joldes, J.-B. Lasserre, S. Laurens, A. Rondepierre
60th IEEE Conference on Decision and Control, pp. 6300–6305, 2021
2016
Linearized Impulsive Fixed-Time Fuel-Optimal Space rendezvous: A New Numerical Approach
D. Arzelier, F. Bréhard, N. Deak, M. Joldes, C. Louembet, A. Rondepierre, R. Serra
20th IFAC Symposium on Automatic Control in Aerospace. IFAC-PapersOnLine, Vol 49 (17), pp. 373–378, 2016
2014
Analytical optimal solutions of impulsive out-of-plane rendezvous around elliptic orbits
R. Serra, D. Arzelier, A. Rondepierre, J.L. Calvet
IFAC World Congress, Cape Town. IFAC Proceedings, Vol 47 (3), pp. 2231–2236, 2014
2014
A new method to compute the probability of collision for short-term space encounters
R. Serra, D. Arzelier, M.M. Joldes, J.-B. Lasserre, A. Rondepierre, B. Salvy
AIAA/AAS Astrodynamics Specialist Conference, San Diego, AIAA 2014-4366, 2014
2013
Robust Measurement Feedback Control of an Inclined Cable
L. Baudouin, S. Neild, A. Rondepierre, D. Wagg
CPDE'13, 1st IFAC Workshop on Control of Systems Governed by PDEs, 2013
2009
Mixed H₂/H∞ control via nonsmooth optimization
P. Apkarian, D. Noll, A. Rondepierre
CDC'09, 48th IEEE Conference on Decision and Control, Shanghai, pp. 6460–6465, 2009
2007
Nonsmooth optimization algorithm for mixed H₂/H∞ synthesis
P. Apkarian, D. Noll, A. Rondepierre
CDC'07, 46th IEEE Conference on Decision and Control, New Orleans, pp. 4110–4115, 2007
2005
Algorithms for symbolic/numeric control of affine dynamical systems
J.-G. Dumas, A. Rondepierre
ISSAC'05, International Symposium on Symbolic and Algebraic Computation, pp. 277–284, ACM Press, 2005
2005
Piecewise Affine Systems Controllability and Hybrid Optimal Control
A. Rondepierre
ICINCO'05, International Conference on Informatics in Control, Automation and Robotics, Barcelone, 2005
2003
Modeling the electrical activity of a neuron by a continuous and piecewise affine hybrid system
J.-G. Dumas, A. Rondepierre
HSCC'03, Hybrid Systems: Computation and Control. LNCS Vol 2623, pp. 156–171, Springer, 2003
Actes de conférences sans comité de lecture
2015
Collision avoidance for rectilinear encounters between spherical space objects via the scenario approach
R. Serra, D. Arzelier, A. Rondepierre
ISSFD'15, 25th International Symposium on Space Flight Dynamics, Munich, 2015
2013
Chance constrained business case of a three-engines hybrid aircraft
S. Prigent, M. Belleville, T. Druot, A. Rondepierre, P. Maréchal
10th World Congress on Structural and Multidisciplinary Optimization (WCSMO 10), Orlando, paper 5154, 10 p., 2013
Rapports techniques
2019
Global Probability of collision: Problem modeling via occupation measures
D. Arzelier, F. Bréhard, M.M. Joldes, J.-B. Lasserre, L. Martire, A. Rondepierre
Rapport de contrat DAJ/AR/EO-2016-6457, LAAS/CNRS–CNES, 2019
2005
Computing the Kalman form
C. Pernet, A. Rondepierre, G. Villard
Rapport de Recherche IMAG-ccsd-00009558, arXiv cs.SC/0510014
2005
A Hybrid System Approach to Nonlinear Optimal Control Problems
J.-G. Dumas, A. Rondepierre
Rapport de Recherche IMAG-ccsd-00004191, arXiv math.OC/0502172
Thèse & Habilitation à Diriger des Recherches
2016
Contributions en optimisation non lisse et applications dans le domaine de l'aéronautique et du spatial
A. Rondepierre
Habilitation à Diriger des Recherches, Université de Toulouse, 2016
2006
Algorithmes hybrides pour le contrôle optimal des systèmes non linéaires
A. Rondepierre
Thèse de doctorat, Institut National Polytechnique de Grenoble, 2006