An infinite-dimensional Christoffel function and detection of abnormal trajectories D Henrion, JB Lasserre arXiv preprint arXiv:2407.02019, 2024 | | 2024 |
Leveraging the Christoffel function for outlier detection in data streams K Ducharlet, L Travé-Massuyès, JB Lasserre, MV Le Lann, Y Miloudi International Journal of Data Science and Analytics, 1-17, 2024 | 1 | 2024 |
Uncertainty quantification of set-membership estimation in control and perception: Revisiting the minimum enclosing ellipsoid Y Tang, JB Lasserre, H Yang 6th Annual Learning for Dynamics & Control Conference, 286-298, 2024 | 1 | 2024 |
Least multivariate Chebyshev polynomials on diagonally determined domains M Dressler, S Foucart, M Joldes, E de Klerk, JB Lasserre, Y Xu arXiv preprint arXiv:2405.19219, 2024 | | 2024 |
Verifying Properties of Binary Neural Networks Using Sparse Polynomial Optimization J Yang, S Ðurašinović, JB Lasserre, V Magron, J Zhao arXiv preprint arXiv:2405.17049, 2024 | 1 | 2024 |
Optimization-Aided Construction of Multivariate Chebyshev Polynomials M Dressler, S Foucart, E de Klerk, M Joldes, JB Lasserre, Y Xu arXiv preprint arXiv:2405.10438, 2024 | 1 | 2024 |
Gaussian mixtures closest to a given measure via optimal transport JB Lasserre arXiv preprint arXiv:2404.19378, 2024 | | 2024 |
The Christoffel function: Applications, connections and extensions JB Lasserre Numerical Algebra, Control and Optimization, 0-0, 2024 | | 2024 |
A hierarchy of convex relaxations for the total variation distance JB Lasserre arXiv preprint arXiv:2401.01086, 2024 | | 2024 |
Volumes of sublevel sets of nonnegative forms and complete monotonicity K Kozhasov, JB Lasserre SIAM Journal on Applied Algebra and Geometry 7 (4), 768-785, 2023 | 1 | 2023 |
Polynomial Optimization, Certificates of Positivity, and Christoffel Function JB Lasserre Polynomial Optimization, Moments, and Applications, 1-22, 2023 | | 2023 |
A hierarchy of spectral relaxations for polynomial optimization NHA Mai, JB Lasserre, V Magron Mathematical Programming Computation 15 (4), 651-701, 2023 | 13 | 2023 |
Minimal Sparsity for Second-Order Moment-SOS Relaxations of the AC-OPF Problem A Le Franc, V Magron, JB Lasserre, M Ruiz, P Panciatici IEEE Transactions on Power Systems, 2023 | 3 | 2023 |
A modified Christoffel function and its asymptotic properties JB Lasserre Journal of Approximation Theory 295, 105955, 2023 | 1 | 2023 |
A Generalized Pell's equation for a class of multivariate orthogonal polynomials JB Lasserre, Y Xu arXiv preprint arXiv:2307.10668, 2023 | | 2023 |
A sparse version of Reznick’s Positivstellensatz NHA Mai, V Magron, J Lasserre Mathematics of Operations Research 48 (2), 812-833, 2023 | 21 | 2023 |
Chebyshev and Equilibrium Measure Vs Bernstein and Lebesgue Measure JB Lasserre arXiv preprint arXiv:2303.13975, 2023 | | 2023 |
Revisiting semidefinite programming approaches to options pricing: complexity and computational perspectives D Henrion, F Kirschner, E De Klerk, M Korda, JB Lasserre, V Magron INFORMS Journal on Computing 35 (2), 335-349, 2023 | 5 | 2023 |
Polynomial argmin for recovery and approximation of multivariate discontinuous functions D Henrion, M Korda, JB Lasserre arXiv preprint arXiv:2302.06945, 2023 | | 2023 |
The Moment-SOS hierarchy: Applications and related topics JB Lasserre | 2 | 2023 |