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Lucas Slot
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Year
Improved convergence analysis of Lasserre’s measure-based upper bounds for polynomial minimization on compact sets
L Slot, M Laurent
Mathematical Programming 193 (2), 831-871, 2022
262022
An effective version of Schmüdgen’s Positivstellensatz for the hypercube
M Laurent, L Slot
Optimization Letters 17 (3), 515-530, 2023
232023
Sum-of-squares hierarchies for binary polynomial optimization
L Slot, M Laurent
Mathematical Programming 197 (2), 621-660, 2023
232023
Sum-of-squares hierarchies for polynomial optimization and the Christoffel--Darboux kernel
L Slot
SIAM Journal on Optimization 32 (4), 2612-2635, 2022
172022
Near-optimal analysis of Lasserre’s univariate measure-based bounds for multivariate polynomial optimization
L Slot, M Laurent
Mathematical Programming 188 (2), 443-460, 2021
172021
A recursive Lovász theta number for simplex-avoiding sets
D Castro-Silva, F de Oliveira Filho, L Slot, F Vallentin
Proceedings of the American Mathematical Society 150 (8), 3307-3322, 2022
62022
Degree bounds for Putinar’s Positivstellensatz on the hypercube
L Baldi, L Slot
SIAM Journal on Applied Algebra and Geometry 8 (1), 1-25, 2024
52024
The Christoffel-Darboux kernel for topological data analysis
PR Hoefgeest, L Slot
arXiv preprint arXiv:2211.15489, 2022
42022
A note on the computational complexity of the moment-SOS hierarchy for polynomial optimization
S Gribling, S Polak, L Slot
Proceedings of the 2023 International Symposium on Symbolic and Algebraic …, 2023
32023
Asymptotic analysis of semidefinite bounds for polynomial optimization and independent sets in geometric hypergraphs
L Slot
22022
Testably Learning Polynomial Threshold Functions
L Slot, S Tiegel, M Wiedmer
arXiv e-prints, arXiv: 2406.06106, 2024
2024
Nonconvergence of a sum-of-squares hierarchy for global polynomial optimization based on push-forward measures
L Slot, M Wiedmer
arXiv preprint arXiv:2404.09710, 2024
2024
A recursive theta body for hypergraphs
D Castro-Silva, FM de Oliveira Filho, L Slot, F Vallentin
Combinatorica 43 (5), 909-938, 2023
2023
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