2024

Articles dans une revue

Jean-Bernard Lasserre. The Christoffel function: Applications, connections and extensions. Numerical Algebra, Control and Optimization, In press. ⟨hal-04488686⟩

2023

Articles dans une revue

Adrien Le Franc, Victor Magron, Jean-Bernard Lasserre, Manuel Ruiz, Patrick Panciatici. Minimal Sparsity for Second-Order Moment-SOS Relaxations of the AC-OPF Problem. IEEE Transactions on Power Systems, 2023, pp.1 - 10. ⟨10.1109/TPWRS.2023.3333691⟩. ⟨hal-04110742v2⟩

Matteo Tacchi, Jean Bernard Lasserre, Didier Henrion. Stokes, Gibbs and volume computation of semi-algebraic sets. Discrete and Computational Geometry, 2023, 69 (1), pp.260-283. ⟨10.1007/s00454-022-00462-0⟩. ⟨hal-02947268v3⟩

Didier Henrion, Felix Kirschner, Etienne de Klerk, Milan Korda, Jean-Bernard Lasserre, et al.. Revisiting semidefinite programming approaches to options pricing: complexity and computational perspectives. INFORMS Journal on Computing, 2023, 35 (2), pp.265-517. ⟨10.1287/ijoc.2022.1220⟩. ⟨hal-03429272v2⟩

Khazhgali Kozhasov, Jean-Bernard Lasserre. Volumes of sublevel sets of nonnegative forms and complete monotonicity. SIAM Journal on Applied Algebra and Geometry, 2023, 7 (4), ⟨10.1137/22M1502458⟩. ⟨hal-03693810⟩

Jean-Bernard Lasserre. A modified Christoffel function and its asymptotic properties. Journal of Approximation Theory, 2023, 295, pp.105955. ⟨10.1016/j.jat.2023.105955⟩. ⟨hal-03949201v2⟩

Chapitres d’ouvrages

Jean-Bernard Lasserre. Polynomial Optimization, Certificates of Positivity, and Christoffel Function. Michal Kočvara; Bernard Mourrain; Cordian Riener. Polynomial Optimization, Moments, and Applications, Springer, pp.1-20, 2023. ⟨hal-04076663⟩

Pré-publications, documents de travail

Jean-Bernard Lasserre. CHEBYSHEV AND EQUILIBRIUM MEASURE VS BERNSTEIN AND LEBESGUE MEASURE. 2023. ⟨hal-04043186⟩

Jean-Bernard Lasserre. A hierarchy of convex relaxations for the total variation distance. 2023. ⟨hal-04367575⟩

Yukai Tang, Jean-Bernard Lasserre, Heng Yang. Uncertainty Quantification of Set-Membership Estimation in Control and Perception: Revisiting the Minimum Enclosing Ellipsoid. 2023. ⟨hal-04311534⟩

Jean-Bernard Lasserre. The Moment-SOS hierarchy: Applications and related topics. 2023. ⟨hal-04201167⟩

Didier Henrion, Milan Korda, Jean-Bernard Lasserre. POLYNOMIAL ARGMIN FOR RECOVERY AND APPROXIMATION OF MULTIVARIATE DISCONTINUOUS FUNCTIONS. 2023. ⟨hal-03986252v2⟩

Jean-Bernard Lasserre, Yuan Xu. A Generalized Pell's equation for a class of multivariate orthogonal polynomials. 2023. ⟨hal-04163153v2⟩

2022

Articles dans une revue

Tong Chen, Jean-Bernard Lasserre, Victor Magron, Edouard Pauwels. A Sublevel Moment-SOS Hierarchy for Polynomial Optimization. Computational Optimization and Applications, 2022, 81 (1), pp.31-66. ⟨10.1007/s10589-021-00325-z⟩. ⟨hal-03109978⟩

Jean-Bernard Lasserre. A DISINTEGRATION OF THE CHRISTOFFEL FUNCTION. Comptes Rendus. Mathématique, 2022, 360, pp.1071--1079. ⟨10.5802/crmath.380⟩. ⟨hal-03624003v2⟩

Didier Henrion, Jean B Lasserre. Graph Recovery From Incomplete Moment Information. Constructive Approximation, 2022, 6, pp.165-187. ⟨10.1007/s00365-022-09563-8⟩. ⟨hal-02990825v2⟩

Ngoc Hoang Anh Mai, Jean-Bernard Lasserre, Victor Magron, Jie Wang. Exploiting constant trace property in large-scale polynomial optimization. ACM Transactions on Mathematical Software, 2022, 48 (4), pp.1-39. ⟨10.1145/3555309⟩. ⟨hal-03079000⟩

Jean-Bernard Lasserre. ON THE CHRISTOFFEL FUNCTION AND CLASSIFICATION IN DATA ANALYSIS. Comptes Rendus. Mathématique, 2022, 360, pp.919--928. ⟨10.5802/crmath.358⟩. ⟨hal-03620965v2⟩

Jean-Bernard Lasserre. Optimization on the Euclidean Unit Sphere. SIAM Journal on Optimization, 2022, 32 (2), pp.1430--1445. ⟨10.1137/21M1433150⟩. ⟨hal-03291242v2⟩

N. H. A. Mai, Victor Magron, Jean-Bernard Lasserre. A sparse version of Reznick's Positivstellensatz. Mathematics of Operations Research, 2022, ⟨10.1287/moor.2022.1284⟩. ⟨hal-02477339⟩

Jean-Bernard Lasserre. Homogeneous polynomials and spurious local minima on the unit sphere. Optimization Letters, 2022, 46 (4), pp.1105-1118. ⟨10.1007/s11590-021-01811-3⟩. ⟨hal-02966390v2⟩

Jie Wang, Victor Magron, Jean-Bernard Lasserre. Certifying Global Optimality of AC-OPF Solutions via the CS-TSSOS Hierarchy. Electric Power Systems Research, 2022, 213, pp.108683. ⟨10.1016/j.epsr.2022.108683⟩. ⟨hal-03351160⟩

Livres

Jean-Bernard Lasserre, Edouard Pauwels, Mihai Putinar. The Christoffel-Darboux Kernel for Data Analysis. Cambridge University Press. Cambridge University Press, 2022, Cambridge Monographs on Applied and Computational Mathematics, 9781108937078. ⟨hal-03590829⟩

Chapitres d’ouvrages

Milan Korda, Didier Henrion, Jean-Bernard Lasserre. Moments and convex optimization for analysis and control of nonlinear partial differential equations. Elsevier. Handbook of Numerical Analysis, 23, Elsevier, pp.339--366, 2022. ⟨hal-01771699⟩

Communications dans un congrès

Jean-Bernard Lasserre. Optimization of Polynomials with Sparsity Encoded in a Few Linear Forms. 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022), Sep 2022, Beyreuth, Germany. pp.383-387. ⟨hal-03628891⟩

Jean-Bernard Lasserre. The Christoffel-Darboux Kernel for Data Analysis. 23ème congrès annuel de la Société Française de Recherche Opérationnelle et d'Aide à la Décision, INSA Lyon, Feb 2022, Villeurbanne - Lyon, France. ⟨hal-03595424⟩

Autres documents

Jean B Lasserre. Moment-SOS Hierarchies. Encyclopedia of Optimization, 2022, pp.1-7. ⟨10.1007/978-3-030-54621-2_740-1⟩. ⟨hal-04054990⟩

Pré-publications, documents de travail

Kévin Ducharlet, Louise Travé-Massuyès, Jean-Bernard Lasserre, Marie-Véronique Le Lann, Youssef Miloudi. Leveraging the Christoffel-Darboux Kernel for Online Outlier Detection. 2022. ⟨hal-03562614⟩

Milan Korda, Jean-Bernard Lasserre, Alexey Lazarev, Victor Magron, Simone Naldi. Urysohn in action: separating semialgebraic sets by polynomials. 2022. ⟨hal-03712510⟩

Ngoc Hoang Anh Mai, Victor Magron, Jean-Bernard Lasserre, Kim-Chuan Toh. Tractable hierarchies of convex relaxations for polynomial optimization on the nonnegative orthant. 2022. ⟨hal-03776853⟩

2021

Articles dans une revue

Jean B Lasserre, Tillmann Weisser. Distributionally robust polynomial chance-constraints under mixture ambiguity sets. Mathematical Programming, Series A, 2021, 185, pp.409--453. ⟨10.1007/s10107-019-01434-8⟩. ⟨hal-01755147v2⟩

Yohann de Castro, Fabrice Gamboa, Didier Henrion, Jean B Lasserre. Dual optimal design and the Christoffel-Darboux polynomial. Optimization Letters, 2021, 15, pp.3-8. ⟨10.1007/s11590-020-01680-2⟩. ⟨hal-02931534v2⟩

Jie Wang, Victor Magron, Jean-Bernard Lasserre. TSSOS: A Moment-SOS hierarchy that exploits term sparsity. SIAM Journal on Optimization, 2021, 31 (1), pp.30--58. ⟨10.1137/19M1307871⟩. ⟨hal-02448389⟩

Jean B Lasserre. SIMPLE FORMULA FOR INTEGRATION OF POLYNOMIALS ON A SIMPLEX. BIT Numerical Mathematics, 2021, 61, pp.523--533. ⟨10.1007/s10543-020-00828-x⟩. ⟨hal-02266692v2⟩

Matteo Tacchi, Tillmann Weisser, Jean-Bernard Lasserre, Didier Henrion. Exploiting Sparsity for Semi-Algebraic Set Volume Computation. Foundations of Computational Mathematics, 2021, 22, pp.161--209. ⟨10.1007/s10208-021-09508-w⟩. ⟨hal-02010175v2⟩

Edouard Pauwels, Mihai Putinar, Jean-Bernard Lasserre. Data analysis from empirical moments and the Christoffel function. Foundations of Computational Mathematics, 2021, 21, pp.243--273. ⟨10.1007/s10208-020-09451-2⟩. ⟨hal-01845137v3⟩

Jean-Bernard Lasserre. THE MOMENT-SOS HIERARCHY AND THE CHRISTOFFEL-DARBOUX KERNEL. Optimization Letters, 2021, 15, pp.1835-1845. ⟨10.1007/s11590-021-01713-4⟩. ⟨hal-03008801⟩

Swann Marx, Edouard Pauwels, Tillmann Weisser, Didier Henrion, Jean B Lasserre. Semi-algebraic approximation using Christoffel-Darboux kernel. Constructive Approximation, 2021, 54 (3), pp.391-429. ⟨10.1007/s00365-021-09535-4⟩. ⟨hal-02085835v3⟩

Jean-Bernard Lasserre, Victor Magron, Swann Marx, Olivier Zahm. Minimizing rational functions: a hierarchy of approximations via pushforward measures. SIAM Journal on Optimization, 2021, 31 (3), pp.2285-2306. ⟨10.1137/20M138541X⟩. ⟨hal-03053386⟩

Jie Wang, Victor Magron, Jean-Bernard Lasserre. Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension. SIAM Journal on Optimization, 2021, ⟨10.1137/20M1323564⟩. ⟨hal-02502131⟩

Ngoc Hoang Anh Mai, Jean-Bernard Lasserre, Victor Magron. Positivity certificates and polynomial optimization on non-compact semialgebraic sets. Mathematical Programming, Series A, 2021, ⟨10.1007/s10107-021-01634-1⟩. ⟨hal-02382059⟩

Communications dans un congrès

Bachir El Khadir, Jean-Bernard Lasserre, Vikas Sindhwani. Piecewise-Linear Motion Planning amidst Static, Moving, or Morphing Obstacles. IEEE International Conference on Robotics and Automation (ICRA 2021), IEEE Robotics & Automation Society, May 2021, Xi'an, China. ⟨10.1109/ICRA48506.2021.9561614⟩. ⟨hal-02971806⟩

Tong Chen, Jean-Bernard Lasserre, Victor Magron, Edouard Pauwels. Semialgebraic Representation of Monotone Deep Equilibrium Models and Applications to Certification. Advances in Neural Information Processing Systems, Dec 2021, Online, France. ⟨hal-03265346⟩

Denis Arzelier, Florent Bréhard, Mioara Joldeş, Jean-Bernard Lasserre, Sohie Laurens, et al.. Polynomial superlevel set approximation of swept-volume for computing collision probability in space encounters. 60th IEEE Conference on Decision and Control (CDC 2021), IEEE, Dec 2021, Austin, Texas, United States. ⟨10.1109/CDC45484.2021.9683445⟩. ⟨hal-03158347⟩

Pré-publications, documents de travail

Ngoc Hoang Anh Mai, Victor Magron, Jean-Bernard Lasserre. A hierarchy of spectral relaxations for polynomial optimization. 2021. ⟨hal-03149938⟩

2020

Articles dans une revue

Swann Marx, Tillmann Weisser, Didier Henrion, Jean B Lasserre. A moment approach for entropy solutions to nonlinear hyperbolic PDEs *. Mathematical Control and Related Fields, 2020, 10 (1), pp.113-140. ⟨10.3934/mcrf.2019032⟩. ⟨hal-01830870⟩

Khazhgali Kozhasov, Jean-Bernard Lasserre. NONNEGATIVE FORMS WITH SUBLEVEL SETS OF MINIMAL VOLUME. Mathematical Programming, Series A, 2020, ⟨10.1007/s10107-020-01584-0⟩. ⟨hal-02294984v2⟩

Jean B Lasserre. Connecting optimization with spectral analysis of tri-diagonal matrices. Mathematical Programming, Series A, 2020, 190, pp.795--809. ⟨10.1007/s10107-020-01549-3⟩. ⟨hal-02190818v4⟩

Jean-Bernard Lasserre, Victor Magron. Computing the Hausdorff boundary measure of semi-algebraic sets. SIAM Journal on Applied Algebra and Geometry, 2020, 4 (3), pp.441-469. ⟨10.1137/20M1314392⟩. ⟨hal-02448149⟩

Livres

Didier Henrion, Milan Korda, Jean-Bernard Lasserre. The Moment-SOS Hierarchy: Lectures in Probability, Statistics, Computational Geometry, Control and Nonlinear PDEs. World Scientific. World Scientific Publishing Europe Ltd., 4, 248p., 2020, Optimization and its Applications, 978-1-78634-853-1. ⟨10.1142/q0252⟩. ⟨hal-03009026⟩

Communications dans un congrès

Tong Chen, Jean-Bernard Lasserre, Victor Magron, Edouard Pauwels. Semialgebraic Optimization for Lipschitz Constants of ReLU Networks. Conference on Neural Information Processing Systems, Dec 2020, Vancouver, Canada. ⟨hal-02940488⟩

Didier Henrion, Matteo Tacchi, Carmen Cardozo, Jean B Lasserre. 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⟩. ⟨hal-02367689v2⟩

Rapports

Denis Arzelier, Florent Bréhard, Mioara Joldes, Jean-Bernard Lasserre, Aude Rondepierre. 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. ⟨hal-02444341⟩

Pré-publications, documents de travail

Jie Wang, Victor Magron, Jean B Lasserre, Ngoc Hoang Anh Mai. CS-TSSOS: Correlative and term sparsity for large-scale polynomial optimization. 2020. ⟨hal-02566472⟩

2019

Articles dans une revue

Jean-Bernard Lasserre, Victor Magron. In SDP relaxations, inaccurate solvers do robust optimization. SIAM Journal on Optimization, 2019, 29 (3), pp.2128-2145. ⟨10.1137/18M1225677⟩. ⟨hal-01915976⟩

Jean B Lasserre, Youssouf Emin. Semidefinite Relaxations for Lebesgue and Gaussian Measures of Unions of Basic Semialgebraic Sets. Mathematics of Operations Research, 2019, 44 (4), pp.1145-1509. ⟨10.1287/moor.2018.0980⟩. ⟨hal-01543361⟩

Yohann de Castro, Fabrice Gamboa, Didier Henrion, Roxana Hess, Jean-Bernard Lasserre. Approximate Optimal Designs for Multivariate Polynomial Regression. Annals of Statistics, 2019, 47 (1), pp.127-155. ⟨10.1214/18-AOS1683⟩. ⟨hal-01483490v2⟩

Cédric Josz, Jean-Bernard Lasserre, Bernard Mourrain. Sparse polynomial interpolation: sparse recovery, super resolution, or Prony?. Advances in Computational Mathematics, 2019, 45 (3), pp.1401-1437. ⟨10.1007/s10444-019-09672-2⟩. ⟨hal-01575325v2⟩

Jean B Lasserre. VOLUME OF SUBLEVEL SETS OF HOMOGENEOUS POLYNOMIALS. SIAM Journal on Applied Algebra and Geometry, 2019, 3 (2), pp.372-389. ⟨10.1137/18M1222478⟩. ⟨hal-01898429v4⟩

Simon Foucart, Jean-Bernard Lasserre. Computation of Chebyshev Polynomials for Union of Intervals. Computational Methods and Function Theory, 2019, ⟨10.1007/s40315-019-00285-w⟩. ⟨hal-02062836⟩

Jean-Bernard Lasserre, Edouard Pauwels. The empirical Christoffel function with applications in data analysis. Advances in Computational Mathematics, 2019, 45 (3), pp.1439--1468. ⟨10.1007/s10444-019-09673-1⟩. ⟨hal-01511624⟩

Jean-Bernard Lasserre, Mihai Putinar. Positive Functionals and Hessenberg Matrices. Proceedings of the American Mathematical Society, 2019, 147 (3), pp.1097--1108. ⟨10.1090/proc/14266⟩. ⟨hal-01806491⟩

Communications dans un congrès

Jean B Lasserre. Volume of sub-level sets of polynomials. 18th European Control Conference (ECC 2019), Jun 2019, Naples, Italy. pp.1975-1980, ⟨10.23919/ECC.2019.8795995⟩. ⟨hal-02277745⟩

Florent Bréhard, Mioara Joldes, Jean-Bernard Lasserre. On Moment Problems with Holonomic Functions. 44th International Symposium on Symbolic and Algebraic Computation (ISSAC 2019), Jul 2019, Pékin, China. pp.66-73. ⟨hal-02006645⟩

Autres documents

Dimitri Peaucelle, Marie-José Huguet, Yannick Pencolé, Christian Artigues, Emmanuel Hébrard, et al.. Bilan et prospectives 2019 du département Décision & Optimisation du LAAS-CNRS. Rapport LAAS n° 19270. 2019. ⟨hal-02295816⟩

Rapports

Denis Arzelier, Florent Bréhard, Mioara Joldes, Jean-Bernard Lasserre, Léo Martire, et al.. Global Probability of Collision: Problem modeling via occupation measures. DAJ/AR/EO-2016-6457, LAAS / CNRS; CNES. 2019. ⟨hal-02077552⟩

2018

Articles dans une revue

Simon Foucart, Jean-Bernard Lasserre. Determining Projection Constants of Univariate Polynomial Spaces. Journal of Approximation Theory, 2018, 235, pp.74-91. ⟨10.1016/j.jat.2018.06.002⟩. ⟨hal-01679124⟩

Jean-Bernard Lasserre, Victor Magron. Optimal data fitting: a moment approach. SIAM Journal on Optimization, 2018, 28 (4), pp.3127-3144. ⟨10.1137/18M1170108⟩. ⟨hal-01706850⟩

Tillmann Weisser, Jean-Bernard Lasserre, Kim-Chuan Toh. Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity. Mathematical Programming Computation, 2018, 10, pp.1--32. ⟨hal-01341931v3⟩

Communications dans un congrès

Jean B Lasserre. THE MOMENT-SOS HIERARCHY. International Congress of Mathematicians 2018 (ICM 2018), Aug 2018, Rio de Janeiro, Brazil. 21p. ⟨hal-01856182⟩

2017

Articles dans une revue

Eric B Chin, Jean-Bernard Lasserre, Natarajan Sukumar. Modeling crack discontinuities without element-partitioning in the extended finite element method. International Journal for Numerical Methods in Engineering, 2017, 110 (11), pp.1021-1048. ⟨10.1002/nme.5436⟩. ⟨hal-01426656⟩

Jean-Bernard Lasserre. Representation of chance-constraints with strong asymptotic guarantees. IEEE Control Systems Letters, 2017, 1 (1), pp.50--55. ⟨10.1109/LCSYS.2017.2704295⟩. ⟨hal-01487006v2⟩

Etienne de Klerk, Jean B Lasserre, Monique Laurent, Zhao Sun. Bound-Constrained Polynomial Optimization Using Only Elementary Calculations. Mathematics of Operations Research, 2017, 42 (3), pp.834 - 853. ⟨10.1287/moor.2016.0829⟩. ⟨hal-01698348⟩

Jean-Bernard Lasserre, Toh Kim-Chuan, Yang Shouguang. A bounded degree SOS hierarchy for polynomial optimization . EURO Journal on Computational Optimization, 2017, 5 (1), pp.87--117. ⟨hal-01109125v2⟩

Jean-Bernard Lasserre. Computing gaussian & exponential measures of semi-algebraic sets. Advances in Applied Mathematics, 2017, 91, pp.137-163. ⟨hal-01185641v2⟩

Yohann de Castro, Fabrice Gamboa, Didier Henrion, Jean-Bernard Lasserre. Exact solutions to Super Resolution on semi-algebraic domains in higher dimensions. IEEE Transactions on Information Theory, 2017, 63 (1), pp. 621-630. ⟨10.1109/TIT.2016.2619368⟩. ⟨hal-01114328v2⟩

Livres

Jean-Paul Laumond, Nicolas Mansard, Jean-Bernard Lasserre (Dir.). Geometric and Numerical Foundations of Movements. Springer. 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⟩. ⟨hal-01590779⟩

Chapitres d’ouvrages

Edouard Pauwels, Didier Henrion, Jean-Bernard Lasserre. Positivity certificates in optimal control. Springer. Geometric and Numerical Foundations of Movements, 117, Springer, pp.113-131, 2017, Springer Tracts in Advanced Robotics, 978-3-319-51546-5. ⟨hal-01311874⟩

Communications dans un congrès

Jean-Bernard Lasserre, Jérémy Rouot. On inverse optimal control via polynomial optimization. IEEE 56th Annual Conference on Decision and Control (CDC 2017), Dec 2017, Melbourne, Australia. pp.721-726, ⟨10.1109/CDC.2017.8263745⟩. ⟨hal-01493034⟩

2016

Articles dans une revue

Roxana Hess, Didier Henrion, Jean-Bernard Lasserre, Tien Son Pham. Semidefinite approximations of the polynomial abscissa. SIAM Journal on Control and Optimization, 2016, 54 (3), pp. 1633-1656. ⟨hal-01181623⟩

Jean-Bernard Lasserre. A MAX-CUT FORMULATION OF 0/1 PROGRAMS. Operations Research Letters, 2016, 44 (2), pp.158--164. ⟨hal-01154698v3⟩

V Jeyakumar †, Jean-Bernard Lasserre, G Li, T.S Pham. CONVERGENT SEMIDEFINITE PROGRAMMING RELAXATIONS FOR GLOBAL BILEVEL POLYNOMIAL OPTIMIZATION PROBLEMS *. SIAM Journal on Optimization, 2016, 26 (1), pp.753--780. ⟨10.1137/15M1017922⟩. ⟨hal-01295159⟩

Jean-Bernard Lasserre. CONVEX OPTIMIZATION AND PARSIMONY OF L p -BALLS REPRESENTATION *. SIAM Journal on Optimization, 2016, SIAM Journal on Optimization, 26 (1), pp.247--273. ⟨10.1137/140983082⟩. ⟨hal-01053891v3⟩

Edouard Pauwels, Didier Henrion, Jean-Bernard Lasserre. Linear conic optimization for inverse optimal control. SIAM Journal on Control and Optimization, 2016, 54 (3), pp.1798-1825. ⟨10.1137/14099454X⟩. ⟨hal-01080428v3⟩

Jean-Bernard Lasserre. Lebesgue decomposition in action via semidefinite relaxations. Advances in Computational Mathematics, 2016, 42 (5), pp.1129-1148. ⟨10.1007/s10444-016-9456-1⟩. ⟨hal-01212385v2⟩

Romain Serra, Denis Arzelier, Mioara Joldes, Jean-Bernard Lasserre, Aude Rondepierre, et al.. Fast and Accurate Computation of Orbital Collision Probability for Short-Term Encounters. Journal of Guidance, Control, and Dynamics, 2016, 39 (5), pp.1009-1021. ⟨10.2514/1.G001353⟩. ⟨hal-01132149⟩

Communications dans un congrès

Jean-Bernard Lasserre, Edouard Pauwels. Sorting out typicality with the inverse moment matrix SOS polynomial. 30th Conference on Neural Information Processing Systems (NIPS 2016), Dec 2016, Barcelone, Spain. pp.1-16, ⟨10.48550/arXiv.1606.03858⟩. ⟨hal-01331591⟩

2015

Articles dans une revue

Jean-Bernard Lasserre, Mihai Putinar. Algebraic-exponential data recovery from moments. Discrete and Computational Geometry, 2015, 54 (5), pp.993-1012. ⟨10.1007/s00454-015-9739-1⟩. ⟨hal-00936719v2⟩

Jean-Paul Laumond, Nicolas Mansard, Jean-Bernard Lasserre. Optimization as Motion Selection Principle in Robot Action. Communications of the ACM, 2015, 58 (5), pp.64-74. ⟨10.1145/2743132⟩. ⟨hal-01376752⟩

Jean-Bernard Lasserre. Moments and Legendre-Fourier Series for Measures Supported on Curves. Symmetry, Integrability and Geometry : Methods and Applications, 2015, Special Issue on Orthogonal Polynomials, Special Functions and Applications, 11 (077), 10 p. ⟨10.3842/SIGMA.2015.077⟩. ⟨hal-01187750v2⟩

Jean-Bernard Lasserre. Level sets and non Gaussian integrals of positively homogeneous functions. International Game Theory Review, 2015, 17 (1), pp.10.1142/S0219198915400010. ⟨10.1142/S0219198915400010⟩. ⟨hal-00637049v3⟩

Florian Bugarin, Adrien Bartoli, Didier Henrion, Jean-Bernard Lasserre, Jean-José Orteu, et al.. Rank-constrained fundamental matrix estimation by polynomial global optimization versus the eight-point algorithm. Journal of Mathematical Imaging and Vision, 2015, 53 (1), pp.42-60. ⟨hal-00723015v2⟩

Florian Bugarin, Didier Henrion, Jean-Bernard Lasserre. Minimizing the sum of many rational functions. Mathematical Programming Computation, 2015, 8 (1), pp. 83-111. ⟨10.1007/s12532-015-0089-z⟩. ⟨hal-00569067v2⟩

Jean-Bernard Lasserre. Volume of slices and sections of the simplex in closed form. Optimization Letters, 2015, 9 (7), pp.1263--1269. ⟨hal-01095071⟩

Victor Magron, Didier Henrion, Jean-Bernard Lasserre. Semidefinite approximations of projections and polynomial images of semialgebraic sets. SIAM Journal on Optimization, 2015, 25 (4), pp. 2143-2164. ⟨hal-01075343v2⟩

Jean-Bernard Lasserre. A generalization of Löwner-John's ellipsoid theorem. Mathematical Programming, Series A, 2015, 152, pp.559--591. ⟨10.1007/s10107-014-0798-5⟩. ⟨hal-00785158v5⟩

Eric B Chin, Jean B Lasserre, N Sukumar. Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra. Computational Mechanics, 2015, 56, pp.967 - 981. ⟨10.1007/s00466-015-1213-7⟩. ⟨hal-01426581⟩

Livres

Jean-Bernard Lasserre. An Introduction to Polynomial and Semi-Algebraic Optimization. Cambridge University Press, 2015, 9781107447226. ⟨10.1017/CBO9781107447226⟩. ⟨hal-02095856⟩

Rapports

Romain Serra, Denis Arzelier, Mioara Joldes, Jean-Bernard Lasserre, Aude Rondepierre, et al.. A Power Series Expansion based Method to compute the Probability of Collision for Short-term Space Encounters. [Research Report] LAAS-CNRS. 2015. ⟨hal-01131384v2⟩

2014

Articles dans une revue

Victor Magron, Didier Henrion, Jean-Bernard Lasserre. Approximating Pareto Curves using Semidefinite Relaxations. Operations Research Letters, 2014, 42 (6-7), pp.432-437. ⟨hal-00980625v2⟩

Vaithilingam Jeyakumar, Jean-Bernard Lasserre, G. Li. On Polynomial Optimization over Non-compact Semi-algebraic Sets. Journal of Optimization Theory and Applications, 2014, 163, pp.707--718. ⟨10.1007/s10957-014-0545-3⟩. ⟨hal-00813962v2⟩

Jean-Paul Laumond, Nicolas Mansard, Jean-Bernard Lasserre. Optimality in Robot Motion: Optimal Versus Optimized Motion. Communications of the ACM, 2014, 57 (9), pp.82 - 89. ⟨10.1145/2629535⟩. ⟨hal-01376749⟩

Didier Henrion, Jean-Bernard Lasserre, Martin Mevissen. Mean squared error minimization for inverse moment problems. Applied Mathematics and Optimization, 2014, 70 (1), pp. 83-110. ⟨hal-00725977⟩

Jean-Bernard Lasserre. New approximations for the cone of copositive matrices and its dual. Mathematical Programming, Series A, 2014, 144, pp.265-276. ⟨10.1007/s10107-013-0632-5⟩. ⟨hal-00545755v2⟩

Communications dans un congrès

Romain Serra, Denis Arzelier, Mioara Joldes, Jean-Bernard Lasserre, Aude Rondepierre, et al.. A New Method to Compute the Probability of Collision for Short-term Space Encounters. AIAA/AAS Astrodynamics Specialist Conference, Aug 2014, San Diego, United States. 6p., ⟨10.2514/6.2014-4366⟩. ⟨hal-01092420⟩

Edouard Pauwels, Didier Henrion, Jean-Bernard Lasserre. Inverse optimal control with polynomial optimization. IEEE Conference on Decision and Control ( CDC ), Dec 2014, Los Angeles, United States. pp.5581-5586. ⟨hal-00961722⟩