Follow
Lucas Slot
Title
Cited by
Cited by
Year
Sum-of-squares hierarchies for binary polynomial optimization
L Slot, M Laurent
Mathematical Programming 197 (2), 621-660, 2023
332023
An effective version of Schmüdgen’s Positivstellensatz for the hypercube
M Laurent, L Slot
Optimization Letters 17 (3), 515-530, 2023
292023
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
282022
Sum-of-squares hierarchies for polynomial optimization and the Christoffel--Darboux kernel
L Slot
SIAM Journal on Optimization 32 (4), 2612-2635, 2022
282022
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
222021
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
122024
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
72022
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
52023
The Christoffel-Darboux kernel for topological data analysis
PR Hoefgeest, L Slot
arXiv preprint arXiv:2211.15489, 2022
52022
Asymptotic analysis of semidefinite bounds for polynomial optimization and independent sets in geometric hypergraphs
L Slot
32022
A recursive theta body for hypergraphs
D Castro-Silva, FM de Oliveira Filho, L Slot, F Vallentin
Combinatorica 43 (5), 909-938, 2023
22023
Testably Learning Polynomial Threshold Functions
L Slot, S Tiegel, M Wiedmer
arXiv preprint arXiv:2406.06106, 2024
12024
Computational complexity of sum-of-squares bounds for copositive programs
M Palomba, L Slot, LF Vargas, M Mastrolilli
arXiv preprint arXiv:2501.03698, 2025
2025
A sparsified Christoffel function for high-dimensional inference
JB Lasserre, L Slot
arXiv preprint arXiv:2409.15965, 2024
2024
Convergence Rates of Sums of Squares Hierarchies for Polynomial Optimization
M Laurent, L Slot
arXiv preprint arXiv:2408.04417, 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
39th International Symposium on Computational Geometry (SoCG 2023)
M Abrahamsen, L Kleist, T Miltzow, B Walczak, P Afshani, P Cheng, ...
Schloss Dagstuhl-Leibniz-Zentrum für Informatik GmbH, 2023
2023
The system can't perform the operation now. Try again later.
Articles 1–17