Jean Bernard Lasserre
- Toulouse School of Economics (TSE-R)
- Equipe Polynomial OPtimization (LAAS-POP)
Présentation
Domaines de recherche
Publications
Publications
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Uncertainty Quantification of Set-Membership Estimation in Control and Perception: Revisiting the Minimum Enclosing EllipsoidL4DC 2024, Jul 2024, Oxford (UK), France. pp.1--36 |
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Verifying Properties of Binary Neural Networks Using Sparse Polynomial OptimizationThirteenth International Conference on Learning Representations (ICLR), 2025, Apr 2025, Singapour, Singapore. 22 p |
Leveraging the properties of the Christoffel function for anomaly detection in data streamsCongrès Annuel de la SAGIP, SAGIP, May 2024, Lyon, France |
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The Christoffel-Darboux Kernel for Data Analysis23ème congrès annuel de la Société Française de Recherche Opérationnelle et d'Aide à la Décision, INSA Lyon, Feb 2022, Villeurbanne - Lyon, France |
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Optimization of Polynomials with Sparsity Encoded in a Few Linear Forms25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022), Sep 2022, Beyreuth, Germany. pp.383-387 |
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Polynomial superlevel set approximation of swept-volume for computing collision probability in space encounters60th IEEE Conference on Decision and Control (CDC 2021), IEEE, Dec 2021, Austin, Texas, United States. ⟨10.1109/CDC45484.2021.9683445⟩ |
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Piecewise-Linear Motion Planning amidst Static, Moving, or Morphing ObstaclesIEEE International Conference on Robotics and Automation (ICRA 2021), IEEE Robotics & Automation Society, May 2021, Xi'an, China. ⟨10.1109/ICRA48506.2021.9561614⟩ |
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Semialgebraic Representation of Monotone Deep Equilibrium Models and Applications to CertificationAdvances in Neural Information Processing Systems, Dec 2021, Online, France |
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Semialgebraic Optimization for Lipschitz Constants of ReLU NetworksConference on Neural Information Processing Systems, Dec 2020, Vancouver, Canada |
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Approximating regions of attraction of a sparse polynomial differential system *IFAC World Congress, Jul 2020, virtual, Germany. pp.3266-3271, ⟨10.1016/j.ifacol.2020.12.1488⟩ |
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On Moment Problems with Holonomic Functions44th International Symposium on Symbolic and Algebraic Computation (ISSAC 2019), Jul 2019, Pékin, China. pp.66-73 |
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Volume of sub-level sets of polynomials18th European Control Conference (ECC 2019), Jun 2019, Naples, Italy. pp.1975-1980, ⟨10.23919/ECC.2019.8795995⟩ |
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THE MOMENT-SOS HIERARCHYInternational Congress of Mathematicians 2018 (ICM 2018), Aug 2018, Rio de Janeiro, Brazil. 21p |
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On inverse optimal control via polynomial optimizationIEEE 56th Annual Conference on Decision and Control (CDC 2017), Dec 2017, Melbourne, Australia. pp.721-726, ⟨10.1109/CDC.2017.8263745⟩ |
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Sorting out typicality with the inverse moment matrix SOS polynomial30th Conference on Neural Information Processing Systems (NIPS 2016), Dec 2016, Barcelone, Spain. pp.1-16, ⟨10.48550/arXiv.1606.03858⟩ |
A New Method to Compute the Probability of Collision for Short-term Space EncountersAIAA/AAS Astrodynamics Specialist Conference, Aug 2014, San Diego, United States. 6p., ⟨10.2514/6.2014-4366⟩ |
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Inverse optimal control with polynomial optimizationIEEE Conference on Decision and Control ( CDC ), Dec 2014, Los Angeles, United States. pp.5581-5586 |
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Moment LMI approach to LTV impulsive controlIEEE Conference on Decision and Control ( CDC ), Dec 2013, Florence, Italy. pp. 5810-5815 |
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Measures and LMI for impulsive optimal control with applications to space rendezvous problemsAmerican Control Conference (ACC 2012), Jun 2012, Montreal, Canada. pp.161-166 |
Application de l'optimisation globale par théorie des moments aux problèmes d'estimation issus de la vision artificielleEcole de Printemps en Traitement d'Image, Martel (France), 18-22 avril 2011, 2011, Martel, France |
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Moment matrices, border bases and real radical computationMEGA2011, May 2011, Stockholm, Sweden. pp.1-23 |
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Moment and SDP relaxation techniques for smooth approximations of problems involving nonlinear differential equationsWorld IFAC Congress (IFAC 2011), Aug 2011, Milan, Italy. p. 10887-10892 |
Application de l'optimisation globale par théorie des moments aux problèmes d'estimation issus de la vision artificielleJournée GDR ISIS, Paris (France), 2011., 2011, Paris, France |
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Application de l'optimisation globale par théorie des moments aux problèmes d'estimation issus de la vision artificielleCongrès de l'École Doctorale Systèmes (EDSYS), Toulouse (France), 10-11 mai 2011, 2011, Toulouse, France |
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Optimisation globale polynomiale appliquée à la rectification projective d'images non calibréesFrench Conference on Pattern Recognition and Artificial Intelligence (RFIA 2010), Jan 2010, Caen, France. 8p |
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Nonlinear optimal control synthesis via occupation measures47th IEEE Conference on Decision and Control, Dec 2008, Cancun, Mexico. 16p |
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Christoffel Function based Anomaly Detection for Satellite TelemetryANITI Days 2026, Feb 2026, Toulouse, France |
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Verifying Properties of Binary Neural Networks Using Sparse Polynomial OptimizationR&T Days 2024, Jul 2024, Toulouse (FRANCE), France. 2024 |
The Christoffel-Darboux Kernel for Data AnalysisCambridge University Press. Cambridge University Press, 2022, Cambridge Monographs on Applied and Computational Mathematics, 9781108937078 |
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The Moment-SOS HierarchyWorld Scientific. World Scientific Publishing Europe Ltd., 4, 248p., 2020, Optimization and its Applications, 978-1-78634-853-1. ⟨10.1142/q0252⟩ |
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Geometric and Numerical Foundations of MovementsSpringer. Springer International Publishing, 117, 2017, Springer Tracts in Advanced Robotics, Bruno Siciliano; Oussama Khatib, 978-3-319-51546-5. ⟨10.1007/978-3-319-51547-2⟩ |
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An Introduction to Polynomial and Semi-Algebraic OptimizationCambridge University Press, 2015, 9781107447226. ⟨10.1017/CBO9781107447226⟩ |
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Modern Optimization Modelling TechniquesSpringer Basel, 2012, 978-3-0348-0290-1. ⟨10.1007/978-3-0348-0291-8⟩ |
Handbook on Semidefinite, Conic and Polynomial OptimizationMiguel Anjos and Jean B. Lasserre. Springer, pp.968, 2011, International Series in Operations Research & Management Science, 978-1-4614-0768-3 |
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Linear and Integer Programming vs Linear Integration and CountingSpringer-Verlag. , 2009, Springer Series in Operations Research and Financial Engineering, 978-0-387-09413-7. ⟨10.1007/978-0-387-09414-4⟩ |
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Markov Chains and Invariant ProbabilitiesBirkhäuser Basel, 2003, 978-3-0348-9408-1. ⟨10.1007/978-3-0348-8024-4⟩ |
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Further Topics on Discrete-Time Markov Control ProcessesSpringer New York, 1999, 978-1-4612-6818-5. ⟨10.1007/978-1-4612-0561-6⟩ |
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Discrete-Time Markov Control ProcessesSpringer New York, 1996, 978-1-4612-6884-0. ⟨10.1007/978-1-4612-0729-0⟩ |
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Polynomial Optimization, Certificates of Positivity, and Christoffel FunctionMichal Kočvara; Bernard Mourrain; Cordian Riener. Polynomial Optimization, Moments, and Applications, Springer, pp.1-20, 2023 |
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Moments and convex optimization for analysis and control of nonlinear partial differential equationsElsevier. Handbook of Numerical Analysis, 23, Elsevier, pp.339--366, 2022 |
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Positivity certificates in optimal controlSpringer. Geometric and Numerical Foundations of Movements, 117, Springer, pp.113-131, 2017, Springer Tracts in Advanced Robotics, 978-3-319-51546-5 |
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Polynomial Optimization for Nonlinear Dynamics: Theory, Algorithms and ApplicationsOberwolfach Institute. 2025, pp.1975-2032 |
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Rigorous derivation of Coppola's formula for the computation of the probability of collision between space objects[Research Report] Rapport LAAS n° 20008, LAAS-CNRS. 2020 |
Global Probability of Collision: Problem modeling via occupation measuresDAJ/AR/EO-2016-6457, LAAS / CNRS; CNES. 2019 |
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Bilan et prospectives 2019 du département Décision & Optimisation du LAAS-CNRS2019 |
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A Power Series Expansion based Method to compute the Probability of Collision for Short-term Space Encounters[Research Report] LAAS-CNRS. 2015 |
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Structured Function Systems and ApplicationsOberwolfach Institute. 2013, pp.579-655 |