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Ngoc Hoang Anh Mai
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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
792022
On the complexity of Putinar–Vasilescu's Positivstellensatz
NHA Mai, V Magron
Journal of Complexity, 101663, 2022
212022
A sparse version of Reznick’s Positivstellensatz
NHA Mai, V Magron, J Lasserre
Mathematics of Operations Research 48 (2), 812-833, 2023
202023
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
202022
Positivity certificates and polynomial optimization on non-compact semialgebraic sets
NHA Mai, JB Lasserre, V Magron
Mathematical Programming, 1-43, 2022
172022
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
162021
A hierarchy of spectral relaxations for polynomial optimization
NHA Mai, JB Lasserre, V Magron
Mathematical Programming Computation 15 (4), 651-701, 2023
132023
Stability Analysis of Recurrent Neural Networks by IQC with Copositive Mutipliers
Y Ebihara, H Waki, V Magron, NHA Mai, D Peaucelle, S Tarbouriech
2021 60th IEEE Conference on Decision and Control (CDC), 5098-5103, 2021
10*2021
The constant trace property in noncommutative optimization
NHA Mai, A Bhardwaj, V Magron
Proceedings of the 2021 on International Symposium on Symbolic and Algebraic …, 2021
82021
Exact polynomial optimization strengthened with Fritz John conditions
NHA Mai
arXiv preprint arXiv:2205.04254, 2022
62022
A symbolic algorithm for exact polynomial optimization strengthened with Fritz John conditions
NHA Mai
arXiv preprint arXiv:2206.02643, 2022
52022
Semi-algebraic description of the closure of the image of a semi-algebraic set under a polynomial
NHA Mai
arXiv preprint arXiv:2210.13933, 2022
32022
Tractable hierarchies of convex relaxations for polynomial optimization on the nonnegative orthant
NHA Mai, V Magron, JB Lasserre, KC Toh
arXiv preprint arXiv:2209.06175, 2022
22022
Tractable semidefinite bounds of positive maximal singular values
V Magron, NHA Mai, Y Ebihara, H Waki
arXiv preprint arXiv:2202.08731, 2022
22022
Comparing different subgradient methods for solving convex optimization problems with functional constraints
TL Dinh, NHA Mai
arXiv preprint arXiv:2101.01045, 2021
22021
Sums of squares representations on singular loci
NHA Mai, V Magron
arXiv preprint arXiv:2303.05081, 2023
12023
A Nichtnegativstellensatz on singular varieties under the denseness of regular loci
NHA Mai
arXiv preprint arXiv:2211.12440, 2022
12022
Practical polynomial optimization through positivity certificates with and without denominators
NHA Mai
Université Paul Sabatier-Toulouse III, 2022
2022
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