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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
4652017
TSSOS: A Moment-SOS hierarchy that exploits term sparsity
J Wang, V Magron, JB Lasserre
SIAM Journal on Optimization 31 (1), 30-58, 2021
1322021
Certified roundoff error bounds using semidefinite programming
V Magron, G Constantinides, A Donaldson
ACM Transactions on Mathematical Software (TOMS) 43 (4), 1-31, 2017
1132017
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
812022
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
582020
Sparse noncommutative polynomial optimization
I Klep, V Magron, J Povh
Mathematical Programming, 1-41, 2022
442022
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
392019
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
382015
Sparse Polynomial Optimization: Theory and Practice
V Magron, J Wang
arXiv preprint arXiv:2208.11158, 2022
362022
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
332020
Exploiting term sparsity in noncommutative polynomial optimization
J Wang, V Magron
Computational Optimization and Applications 80 (2), 483-521, 2021
322021
Formal proofs for nonlinear optimization
V Magron, X Allamigeon, S Gaubert, B Werner
arXiv preprint arXiv:1404.7282, 2014
302014
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
252021
Interval enclosures of upper bounds of roundoff errors using semidefinite programming
V Magron
ACM Transactions on Mathematical Software (TOMS) 44 (4), 1-18, 2018
252018
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
242019
On the complexity of Putinar-Vasilescu's Positivstellensatz
NHA Mai, V Magron
arXiv preprint arXiv:2104.11606, 2021
232021
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
222022
On exact Polya and Putinar's representations
V Magron, M Safey El Din
Proceedings of the 2018 ACM International Symposium on Symbolic and …, 2018
222018
Property-based polynomial invariant generation using sums-of-squares optimization
A Adjé, PL Garoche, V Magron
Static Analysis: 22nd International Symposium, SAS 2015, Saint-Malo, France …, 2015
222015
TSSOS: a Julia library to exploit sparsity for large-scale polynomial optimization
V Magron, J Wang
arXiv preprint arXiv:2103.00915, 2021
212021
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