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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, H Le Truong, ...
Forum of mathematics, Pi 5, e2, 2017
5182017
TSSOS: A Moment-SOS hierarchy that exploits term sparsity
J Wang, V Magron, JB Lasserre
SIAM Journal on Optimization 31 (1), 30-58, 2021
1512021
Certified roundoff error bounds using semidefinite programming
V Magron, G Constantinides, A Donaldson
ACM Transactions on Mathematical Software (TOMS) 43 (4), 1-31, 2017
1192017
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
972022
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
972021
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
642020
Sparse Polynomial Optimization: Theory and Practice
V Magron, J Wang
arXiv preprint arXiv:2208.11158, 2022
572022
Sparse noncommutative polynomial optimization
I Klep, V Magron, J Povh
Mathematical Programming, 1-41, 2022
492022
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
422019
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
392015
Exploiting term sparsity in noncommutative polynomial optimization
J Wang, V Magron
Computational Optimization and Applications 80 (2), 483-521, 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
342020
Formal proofs for nonlinear optimization
V Magron, X Allamigeon, S Gaubert, B Werner
arXiv preprint arXiv:1404.7282, 2014
312014
SONC optimization and exact nonnegativity certificates via second-order cone programming
V Magron, J Wang
Journal of Symbolic Computation 115, 346-370, 2023
292023
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
282019
TSSOS: a Julia library to exploit sparsity for large-scale polynomial optimization
V Magron, J Wang
arXiv preprint arXiv:2103.00915, 2021
272021
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
262021
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
252022
Dimension-free entanglement detection in multipartite Werner states
F Huber, I Klep, V Magron, J Volčič
Communications in Mathematical Physics 396 (3), 1051-1070, 2022
242022
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
242021
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