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Victor Magron
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A formal proof of the Kepler conjecture
T Hales, M Adams, G Bauer, TD Dang, J Harrison, LT Hoang, C Kaliszyk, ...
Forum of mathematics, Pi 5, e2, 2017
5682017
TSSOS: A Moment-SOS hierarchy that exploits term sparsity
J Wang, V Magron, JB Lasserre
SIAM Journal on Optimization 31 (1), 30-58, 2021
1792021
Certified roundoff error bounds using semidefinite programming
V Magron, G Constantinides, A Donaldson
ACM Transactions on Mathematical Software (TOMS) 43 (4), 1-31, 2017
1252017
CS-TSSOS: Correlative and term sparsity for large-scale polynomial optimization
J Wang, V Magron, JB Lasserre, NHA Mai
ACM Transactions on Mathematical Software 48 (4), 1-26, 2022
1132022
Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension
J Wang, V Magron, JB Lasserre
SIAM Journal on Optimization 31 (1), 114-141, 2021
1112021
Sparse Polynomial Optimization: Theory and Practice
V Magron, J Wang
arXiv preprint arXiv:2208.11158, 2022
752022
Semialgebraic Optimization for Lipschitz Constants of ReLU Networks
T Chen, JB Lasserre, V Magron, E Pauwels
Advances in Neural Information Processing Systems 33, 19189-19200, 2020
722020
Sparse noncommutative polynomial optimization
I Klep, V Magron, J Povh
Mathematical Programming 193 (2), 789-829, 2022
542022
Semidefinite approximations of reachable sets for discrete-time polynomial systems
V Magron, PL Garoche, D Henrion, X Thirioux
SIAM Journal on Control and Optimization 57 (4), 2799-2820, 2019
452019
Exploiting term sparsity in noncommutative polynomial optimization
J Wang, V Magron
Computational Optimization and Applications 80 (2), 483-521, 2021
402021
Semidefinite approximations of projections and polynomial images of semialgebraic sets
V Magron, D Henrion, JB Lasserre
SIAM Journal on Optimization 25 (4), 2143-2164, 2015
402015
TSSOS: a Julia library to exploit sparsity for large-scale polynomial optimization
V Magron, J Wang
arXiv preprint arXiv:2103.00915, 2021
372021
A second order cone characterization for sums of nonnegative circuits
J Wang, V Magron
Proceedings of the 45th International Symposium on Symbolic and Algebraic …, 2020
352020
Algorithms for weighted sum of squares decomposition of non-negative univariate polynomials
V Magron, MS El Din, M Schweighofer
Journal of Symbolic Computation 93, 200-220, 2019
342019
Formal proofs for nonlinear optimization
V Magron, X Allamigeon, S Gaubert, B Werner
arXiv preprint arXiv:1404.7282, 2014
322014
SONC optimization and exact nonnegativity certificates via second-order cone programming
V Magron, J Wang
Journal of Symbolic Computation 115, 346-370, 2023
292023
Exploiting constant trace property in large-scale polynomial optimization
NHA Mai, JB Lasserre, V Magron, J Wang
ACM Transactions on Mathematical Software 48 (4), 1-39, 2022
292022
l2 induced norm analysis of discrete-time LTI systems for nonnegative input signals and its application to stability analysis of recurrent neural networks
Y Ebihara, H Waki, V Magron, NHA Mai, D Peaucelle, S Tarbouriech
European Journal of Control 62, 99-104, 2021
292021
Semialgebraic Representation of Monotone Deep Equilibrium Models and Applications to Certification
T Chen, JB Lasserre, V Magron, E Pauwels
Advances in Neural Information Processing Systems 34, 2021
292021
Stability of linear systems under extended weakly-hard constraints
N Vreman, P Pazzaglia, V Magron, J Wang, M Maggio
IEEE Control Systems Letters 6, 2900-2905, 2022
28*2022
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Articles 1–20