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 | 26 | 2022 |
An effective version of Schmüdgen’s Positivstellensatz for the hypercube M Laurent, L Slot Optimization Letters 17 (3), 515-530, 2023 | 23 | 2023 |
Sum-of-squares hierarchies for binary polynomial optimization L Slot, M Laurent Mathematical Programming 197 (2), 621-660, 2023 | 21 | 2023 |
Sum-of-squares hierarchies for polynomial optimization and the Christoffel--Darboux kernel L Slot SIAM Journal on Optimization 32 (4), 2612-2635, 2022 | 17 | 2022 |
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 | 17 | 2021 |
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 | 6 | 2022 |
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 | 4 | 2024 |
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 | 3 | 2023 |
The Christoffel-Darboux kernel for topological data analysis PR Hoefgeest, L Slot arXiv preprint arXiv:2211.15489, 2022 | 3 | 2022 |
Asymptotic analysis of semidefinite bounds for polynomial optimization and independent sets in geometric hypergraphs L Slot | 2 | 2022 |
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 |