Papier de conférence
Eertmans, J., Lequeu, S., Legat, B., Jacques, L., & Oestges, C. (2026). Fast, Differentiable, GPU-Accelerated Ray Tracing for Multiple Diffraction and Reflection Paths. 2026 20th European Conference on Antennas and Propagation (EuCAP). Published. 20th European Conference on Antennas and Propagation (EuCAP 2026), Dublin, Ireland.
Article de journal
Wang, J., Surace, J., Frérot, I., Legat, B., Renou, M.-O., Magron, V., & Acín, A. (2024). Certifying Ground-State Properties of Quantum Many-Body Systems. Physical Review X, 14(3), 31006. https://doi.org/10.1103/PhysRevX.14.031006 (Original work published 2024)
Papier de conférence
Cunis, T., & Legat, B. (2023). Sequential Sum-of-Squares Programming for Analysis of Nonlinear Systems. IEEE, 756-772. https://doi.org/10.23919/ACC55779.2023.10156153 (Original work published 2023)
Article de journal
Legat, B., Yuan, C., & Parrilo, P. (2023). Low-Rank Univariate Sum of Squares Has No Spurious Local Minima. SIAM Journal on Optimization, 23(3), 2041-2061. https://doi.org/10.1137/22M1516208 (Original work published 2023)
Besançon, M., Dias Garcia, J., Legat, B., & Sharma, A. (2023). Flexible Differentiable Optimization via Model Transformations. INFORMS Journal on Computing, 36(2), 305-704. https://doi.org/10.1287/ijoc.2022.0283 (Original work published 2023)
Lubin, M., Dowson, O., Dias Garcia, J., Huchette, J., Legat, B., & Vielma, J. P. (2023). JuMP 1.0: recent improvements to a modeling language for mathematical optimization. Mathematical Programming Computation, 15, 581-589. https://doi.org/10.1007/s12532-023-00239-3 (Original work published 2023)
Chapitre de livre
Legat, B., & Jungers, R. (2023). Computation of invariant sets for complex systems. In Emmanuel Trélat, Enrique Zuazua (ed.), Numerical Control: Part B. Elsevier. https://doi.org/10.1016/bs.hna.2022.12.001
Article de journal
Legat, B., & Jungers, R. (2022). Geometric control of hybrid systems. Nonlinear Analysis: Hybrid Systems, 47, 101289. https://doi.org/10.1016/j.nahs.2022.101289 (Original work published 2023)
Papier de conférence
Legat, B., Bouchat, J., & Jungers, R. (2021). Abstraction-based branch and bound approach to Q-learning for hybrid optimal control. Proceedings of Machine Learning Research, 144, 263-274. (Original work published 2021)
Legat, B., & Jungers, R. (2021). Geometric control of algebraic systems. IFAC-PapersOnLine. Accepted/in-press. 7th IFAC Conference on Analysis and Design of Hybrid Systems, Brussels. (Original work published 2021)
Calbert, J., Legat, B., Egidio, L. N., & Jungers, R. (2021). Alternating Simulation on Hierarchical Abstractions. IEEE Conference on Decision and Control. Proceedings, 593-598. https://doi.org/10.1109/cdc45484.2021.9683448 (Original work published 2021)
Article de journal
Legat, B., Dowson, O., Garcia, J. D., & Lubin, M. (2021). MathOptInterface: a data structure for mathematical optimization problems. INFORMS Journal on Computing. Accepted/in-press. (Original work published 2021)
Legat, B., & Rocher, L. (2021). The Limits of Pairwise Correlation to Model the Joint Entropy. Sensors, 21(11), 1-3. https://doi.org/10.3390/s21113700 (Original work published 2021)
Papier de conférence
Legat, B., Dowson, O., Garcia, J. D., & Lubin, M. (2020). MathOptInterface: A Data Structure for Mathematical Optimization Problems. INFORMS Annual Meeting, Virtual.
Legat, B., Gomes, C. Â. G., Karalis, P., Jungers, R., Navarro-López, E. M., & Hans Vangheluwe. (2020). Stability of Planar Switched Systems under Delayed Event Detection. IEEE Conference on Decision and Control. Proceedings. Accepted/in-press. 59th IEEE Conference on Decision and Control, Virtual. (Original work published 2020)
Legat, B., & Weisser, T. (2020). SumOfSquares: A Julia package for Polynomial Optimization. INFORMS Annual Meeting, Virtual.
Legat, B., Rakovic, S. V., & Jungers, R. (2020). Piecewise semi-ellipsoidal control invariant sets. IEEE Conference on Decision and Control. Proceedings. Accepted/in-press. 59th IEEE Conference on Decision and Control, Virtual. (Original work published 2020)
Article de journal
Legat, B., Tabuada, P., & Jungers, R. (2020). Sum-of-Squares methods for controlled invariant sets with applications to model-predictive control. Nonlinear Analysis: Hybrid Systems, 36, 100858. https://doi.org/10.1016/j.nahs.2020.100858 (Original work published 2020)
Legat, B., Parrilo, P. A., & Jungers, R. (2020). Certifying Unstability of Switched Systems Using Sum of Squares Programming. SIAM Journal on Control and Optimization, 58(4), 2616-2638. https://doi.org/10.1137/18m1173460 (Original work published 2020)
Legat, B., Rakovic, S. V., & Jungers, R. (2020). Piecewise Semi-Ellipsoidal Control Invariant Sets. IEEE Control Systems Letters, 5(3), 755-760. https://doi.org/10.1109/lcsys.2020.3005326 (Original work published 2021)
Thèse
Legat, B. (2020). Set programming : theory and computation.
Papier de conférence
Legat, B. (2019). JuMP extension to Sum-of-Squares Programming. juliaday Nantes 2019, Nantes, France.
Legat, B., Jungers, R., & Tabuada, P. (2019). Computing polynomial controlled invariant sets using Sum-of-Squares Programming. Sixth International Conference on Continuous Optimization, Berlin, Germany.
Legat, B. (2019). JuMP and MathOptInterface: An optimization framework extensible by design. 30th European Conference in Operational Research, Dublin, Ireland.
Legat, B. (2019). Set Programming with JuMP. The Third Annual JuMP-dev Workshop, Santiago, Chile.
Weisser, T., Legat, B., Coey, C., Kapelevich, L., & Vielma Juan Pablo. (2019). Polynomial and Moment Optimization in Julia and JuMP. JuliaCon, Baltimore, Maryland, USA.
Legat, B. (2019). Advanced Tutorial on JuMP. The Third Annual JuMP-dev Workshop, Santiago, Chile.
Article de journal
Legat, B., Parrilo, P. A., & Jungers, R. (2019). An entropy-based bound for the computational complexity of a switched system. IEEE Transactions on Automatic Control, 1. https://doi.org/10.1109/TAC.2019.2902625 (Original work published 2019)
Papier de conférence
Cláudio, G., Jungers, R., Legat, B., & Hans, V. (2018). Minimally Constrained Stable Switched Systems and Application to Co-simulation. IEEE Conference on Decision and Control. Proceedings, 5676-5681. https://doi.org/10.1109/CDC.2018.8619223 (Original work published 2018)
Legat, B., & Jungers, R. (2018). Computing ellipsoidal controlled invariant sets for stochastic programming. 23rd International Symposium on Mathematical Programming, Bordeaux, France.
Legat, B., Tabuada, P., & Jungers, R. (2018). Computing controlled invariant sets for hybrid systems with applications to model-predictive control. IFAC-PapersOnLine, 51(16), 193-198. https://doi.org/10.1016/j.ifacol.2018.08.033 (Original work published 2018)
Legat, B. (2018). Automatic reformulation using constraint bridges. The Second Annual JuMP-dev Workshop, Bordeaux, France.
Legat, B. (2018). Computing semialgebraic invariant sets for dynamical systems. Summer School on Numerical Computing in Algebraic Geometry, Leipzig, Germany.
Legat, B., Jungers, R., & Paulo Tabuada. (2018). Computing controlled invariant sets using semidefinite programming. 37th Benelux Meeting on Systems and Control, Soesterberg, The Netherlands.
Document de travail
Martin, M., Legat, B., Leenders, J., Vanwinsberghe, J., Rousseau, R., Boulanger, B., Eilers, P., De Tullio, P., & Govaerts, B. (2018). PepsNMR for 1H-NMR metabolomic data pre-processing (ISBA Discussion Paper 2018/09).
Article de journal
Martin, M., Legat, B., Leenders, J., Vanwinsberghe, J., Rousseau, R., Boulanger, B., Eilers, P. H. C., De Tullio, P., & Govaerts, B. (2018). PepsNMR for 1 H NMR metabolomic data pre-processing. Analytica Chimica Acta, 1019, 1-13. https://doi.org/10.1016/j.aca.2018.02.067 (Original work published 2018)
Document de travail
Martin, M., Legat, B., Leenders, J., Vanwinsberghe, J., Rousseau, R., Boulanger, B., Eilers, P. H. C., De Tullio, P., & Govaerts, B. (2017). PepsNMR for the 1H-NMR metabolomic data pre-processing (ISBA Discussion Paper 2017/22).
Papier de conférence
Legat, B. (2017). Sum-of-squares optimization in Julia. JuMP Developers Meetup/Workshop, Sloan School of Business, Massachusetts Institute of Technology.
Cláudio Gomes, Legat, B., Jungers, R., & Hans Vangheluwe. (2017). Stable Adaptive Co-simulation: A Switched Systems Approach. IUTAM Symposium on Solver-Coupling and Co-Simulation, 81-97. https://doi.org/10.1007/978-3-030-14883-6_5
Legat, B., Parrilo, P. A., & Jungers, R. (2017). Certifying unstability of Switched Systems using Sum of Squares Programming. 36th Benelux Meeting on Systems and Control, Spa, Belgium.
Papier de conférence
Legat, B., Jungers, R., & Parrilo, P. A. (2016). Generating unstable trajectories for switched systems via Dual Sum-Of-Squares techniques. Proceeding HSCC ’16 Proceedings of the 19th International Conference on Hybrid Systems : Computation and Control, 51-60. https://doi.org/10.1145/2883817.2883821 (Original work published 2016)
Legat, B., & Jungers, R. (2016). Parallel optimization on the Entropic Cone. 37th WIC Symposium on Information Theory in the Benelux, Université catholique de Louvain, Louvain-la-Neuve, Belgium.
Rapport
Legat, B., & Jungers, R. (2016). Sum-Of-Squares programming on Path-complete graphs for switching systems.
