Jean Bernard Lasserre

Curriculum Vitae
94 %
Libre accès
176
Documents
Affiliations actuelles
  • Toulouse School of Economics (TSE-R)
  • Equipe Polynomial OPtimization (LAAS-POP)
Identifiants chercheurs
Contact

Présentation

Domaines de recherche

Optimisation et contrôle [math.OC]

Publications

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Publications

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POLYNOMIAL ARGMIN FOR RECOVERY AND APPROXIMATION OF MULTIVARIATE DISCONTINUOUS FUNCTIONS

Didier Henrion , Milan Korda , Jean-Bernard Lasserre

Constructive Approximation, 2026, ⟨10.1007/s00365-026-09731-0⟩

Article dans une revue hal-03986252v3
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The Christoffel function: Applications, connections and extensions

Jean-Bernard Lasserre

Numerical Algebra, Control and Optimization, 2026, 16, pp.1-18. ⟨10.3934/naco.2024011⟩

Article dans une revue hal-04488686v1
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A hierarchy of convex relaxations for the total variation distance

Jean-Bernard Lasserre

Mathematical Programming, Series A, In press, 8 p. ⟨10.1007/s10107-025-02293-2⟩

Article dans une revue hal-04367575v4
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An extension of the mean value theorem

Jean B Lasserre

The Mathematical Intelligencer, 2025, 4 p. ⟨10.1007/s00283-025-10471-5⟩

Article dans une revue hal-05289719v1
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Leveraging the Christoffel function for outlier detection in data streams

Kévin Ducharlet , Louise Travé-Massuyès , Jean-Bernard Lasserre , Marie-Véronique Le Lann , Youssef Miloudi

International Journal of Data Science and Analytics, 2025, 20 (3), pp.2021-2037. ⟨10.1007/s41060-024-00581-2⟩

Article dans une revue hal-04630422v1
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A laplace duality for integration

Jean B Lasserre

IEEE Control Systems Letters, 2025, 9, pp.168 - 173. ⟨10.1109/LCSYS.2025.3567851⟩

Article dans une revue hal-04970360v3
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A Generalized Pell's equation for a class of multivariate orthogonal polynomials

Jean-Bernard Lasserre , Yuan Xu

Transactions of the American Mathematical Society, In press, 23 p. ⟨10.1090/tran/9200⟩

Article dans une revue hal-04163153v2
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CHEBYSHEV AND EQUILIBRIUM MEASURE VS BERNSTEIN AND LEBESGUE MEASURE

Jean-Bernard Lasserre

Proceedings of the American Mathematical Society, In press, ⟨10.1090/proc/16739⟩

Article dans une revue hal-04043186v1
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Gaussian mixtures closest to a given measure via optimal transport

Jean-Bernard Lasserre

Comptes Rendus. Mathématique, 2024, 362, pp.1455-1473. ⟨10.5802/crmath.657⟩

Article dans une revue hal-04560365v1
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The Moment-SOS hierarchy: Applications and related topics

Jean-Bernard Lasserre

Acta Numerica, 2024, 33, pp.841-908. ⟨10.1017/S0962492923000053⟩

Article dans une revue hal-04687963v1
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Minimal Sparsity for Second-Order Moment-SOS Relaxations of the AC-OPF Problem

Adrien Le Franc , Victor Magron , Jean-Bernard Lasserre , Manuel Ruiz , Patrick Panciatici

IEEE Transactions on Power Systems, 2024, 39 (3), pp.5408 - 5415. ⟨10.1109/TPWRS.2023.3333691⟩

Article dans une revue hal-04110742v2
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Revisiting semidefinite programming approaches to options pricing: complexity and computational perspectives

Didier Henrion , Felix Kirschner , Etienne de Klerk , Milan Korda , Jean-Bernard Lasserre et al.

INFORMS Journal on Computing, 2023, 35 (2), pp.265-517. ⟨10.1287/ijoc.2022.1220⟩

Article dans une revue hal-03429272v2
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Stokes, Gibbs and volume computation of semi-algebraic sets

Matteo Tacchi , Jean Bernard Lasserre , Didier Henrion

Discrete and Computational Geometry, 2023, 69 (1), pp.260-283. ⟨10.1007/s00454-022-00462-0⟩

Article dans une revue hal-02947268v3
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Pell's equation, sum-of-squares and equilibrium measures of a compact set

Jean-Bernard Lasserre

Comptes Rendus. Mathématique, 2023, 361 (1), pp.935-952. ⟨10.5802/crmath.465⟩

Article dans une revue hal-03813195v2
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A modified Christoffel function and its asymptotic properties

Jean-Bernard Lasserre

Journal of Approximation Theory, 2023, 295, pp.105955. ⟨10.1016/j.jat.2023.105955⟩

Article dans une revue hal-03949201v2
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Volumes of sublevel sets of nonnegative forms and complete monotonicity

Khazhgali Kozhasov , Jean-Bernard Lasserre

SIAM Journal on Applied Algebra and Geometry, 2023, 7 (4), ⟨10.1137/22M1502458⟩

Article dans une revue hal-03693810v1

A Sublevel Moment-SOS Hierarchy for Polynomial Optimization

Tong Chen , Jean-Bernard Lasserre , Victor Magron , Edouard Pauwels

Computational Optimization and Applications, 2022, 81 (1), pp.31-66. ⟨10.1007/s10589-021-00325-z⟩

Article dans une revue hal-03109978v1
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Graph Recovery From Incomplete Moment Information

Didier Henrion , Jean B Lasserre

Constructive Approximation, 2022, 6, pp.165-187. ⟨10.1007/s00365-022-09563-8⟩

Article dans une revue hal-02990825v2
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Optimization on the Euclidean Unit Sphere

Jean-Bernard Lasserre

SIAM Journal on Optimization, 2022, 32 (2), pp.1430--1445. ⟨10.1137/21M1433150⟩

Article dans une revue hal-03291242v2
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ON THE CHRISTOFFEL FUNCTION AND CLASSIFICATION IN DATA ANALYSIS

Jean-Bernard Lasserre

Comptes Rendus. Mathématique, 2022, 360, pp.919--928. ⟨10.5802/crmath.358⟩

Article dans une revue hal-03620965v2

Certifying Global Optimality of AC-OPF Solutions via the CS-TSSOS Hierarchy

Jie Wang , Victor Magron , Jean-Bernard Lasserre

Electric Power Systems Research, 2022, 213, pp.108683. ⟨10.1016/j.epsr.2022.108683⟩

Article dans une revue hal-03351160v1

A sparse version of Reznick's Positivstellensatz

N. H. A. Mai , Victor Magron , Jean-Bernard Lasserre

Mathematics of Operations Research, 2022, ⟨10.1287/moor.2022.1284⟩

Article dans une revue hal-02477339v1
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A DISINTEGRATION OF THE CHRISTOFFEL FUNCTION

Jean-Bernard Lasserre

Comptes Rendus. Mathématique, 2022, 360, pp.1071--1079. ⟨10.5802/crmath.380⟩

Article dans une revue hal-03624003v2
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Homogeneous polynomials and spurious local minima on the unit sphere

Jean-Bernard Lasserre

Optimization Letters, 2022, 46 (4), pp.1105-1118. ⟨10.1007/s11590-021-01811-3⟩

Article dans une revue hal-02966390v2

Exploiting constant trace property in large-scale polynomial optimization

Ngoc Hoang Anh Mai , Jean-Bernard Lasserre , Victor Magron , Jie Wang

ACM Transactions on Mathematical Software, 2022, 48 (4), pp.1-39. ⟨10.1145/3555309⟩

Article dans une revue hal-03079000v1

TSSOS: A Moment-SOS hierarchy that exploits term sparsity

Jie Wang , Victor Magron , Jean-Bernard Lasserre

SIAM Journal on Optimization, 2021, 31 (1), pp.30--58. ⟨10.1137/19M1307871⟩

Article dans une revue hal-02448389v1
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THE MOMENT-SOS HIERARCHY AND THE CHRISTOFFEL-DARBOUX KERNEL

Jean-Bernard Lasserre

Optimization Letters, 2021, 15, pp.1835-1845. ⟨10.1007/s11590-021-01713-4⟩

Article dans une revue hal-03008801v1
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Semi-algebraic approximation using Christoffel-Darboux kernel

Swann Marx , Edouard Pauwels , Tillmann Weisser , Didier Henrion , Jean B Lasserre

Constructive Approximation, 2021, 54 (3), pp.391-429. ⟨10.1007/s00365-021-09535-4⟩

Article dans une revue hal-02085835v3
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Dual optimal design and the Christoffel-Darboux polynomial

Yohann de Castro , Fabrice Gamboa , Didier Henrion , Jean B Lasserre

Optimization Letters, 2021, 15 (1), pp.3-8. ⟨10.1007/s11590-020-01680-2⟩

Article dans une revue hal-02931534v2

Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension

Jie Wang , Victor Magron , Jean-Bernard Lasserre

SIAM Journal on Optimization, 2021, ⟨10.1137/20M1323564⟩

Article dans une revue hal-02502131v1
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Data analysis from empirical moments and the Christoffel function

Edouard Pauwels , Mihai Putinar , Jean-Bernard Lasserre

Foundations of Computational Mathematics, 2021, 21, pp.243--273. ⟨10.1007/s10208-020-09451-2⟩

Article dans une revue hal-01845137v3

Minimizing rational functions: a hierarchy of approximations via pushforward measures

Jean-Bernard Lasserre , Victor Magron , Swann Marx , Olivier Zahm

SIAM Journal on Optimization, 2021, 31 (3), pp.2285-2306. ⟨10.1137/20M138541X⟩

Article dans une revue hal-03053386v1
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Exploiting Sparsity for Semi-Algebraic Set Volume Computation

Matteo Tacchi , Tillmann Weisser , Jean-Bernard Lasserre , Didier Henrion

Foundations of Computational Mathematics, 2021, 22, pp.161--209. ⟨10.1007/s10208-021-09508-w⟩

Article dans une revue hal-02010175v2
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Distributionally robust polynomial chance-constraints under mixture ambiguity sets

Jean B Lasserre , Tillmann Weisser

Mathematical Programming, Series A, 2021, 185, pp.409--453. ⟨10.1007/s10107-019-01434-8⟩

Article dans une revue hal-01755147v2
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SIMPLE FORMULA FOR INTEGRATION OF POLYNOMIALS ON A SIMPLEX

Jean B Lasserre

BIT Numerical Mathematics, 2021, 61, pp.523--533. ⟨10.1007/s10543-020-00828-x⟩

Article dans une revue hal-02266692v2

Positivity certificates and polynomial optimization on non-compact semialgebraic sets

Ngoc Hoang Anh Mai , Jean-Bernard Lasserre , Victor Magron

Mathematical Programming, Series A, 2021, ⟨10.1007/s10107-021-01634-1⟩

Article dans une revue hal-02382059v1
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NONNEGATIVE FORMS WITH SUBLEVEL SETS OF MINIMAL VOLUME

Khazhgali Kozhasov , Jean-Bernard Lasserre

Mathematical Programming, Series A, 2020, ⟨10.1007/s10107-020-01584-0⟩

Article dans une revue hal-02294984v2
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A moment approach for entropy solutions to nonlinear hyperbolic PDEs *

Swann Marx , Tillmann Weisser , Didier Henrion , Jean B Lasserre

Mathematical Control and Related Fields, 2020, 10 (1), pp.113-140. ⟨10.3934/mcrf.2019032⟩

Article dans une revue hal-01830870v1

Computing the Hausdorff boundary measure of semi-algebraic sets

Jean-Bernard Lasserre , Victor Magron

SIAM Journal on Applied Algebra and Geometry, 2020, 4 (3), pp.441-469. ⟨10.1137/20M1314392⟩

Article dans une revue hal-02448149v1
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Connecting optimization with spectral analysis of tri-diagonal matrices

Jean B Lasserre

Mathematical Programming, Series A, 2020, 190, pp.795--809. ⟨10.1007/s10107-020-01549-3⟩

Article dans une revue hal-02190818v4
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Computation of Chebyshev Polynomials for Union of Intervals

Simon Foucart , Jean-Bernard Lasserre

Computational Methods and Function Theory, 2019, ⟨10.1007/s40315-019-00285-w⟩

Article dans une revue hal-02062836v1
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VOLUME OF SUBLEVEL SETS OF HOMOGENEOUS POLYNOMIALS

Jean B Lasserre

SIAM Journal on Applied Algebra and Geometry, 2019, 3 (2), pp.372-389. ⟨10.1137/18M1222478⟩

Article dans une revue hal-01898429v4
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Positive Functionals and Hessenberg Matrices

Jean-Bernard Lasserre , Mihai Putinar

Proceedings of the American Mathematical Society, 2019, 147 (3), pp.1097--1108. ⟨10.1090/proc/14266⟩

Article dans une revue hal-01806491v1

The empirical Christoffel function with applications in data analysis

Jean-Bernard Lasserre , Edouard Pauwels

Advances in Computational Mathematics, 2019, 45 (3), pp.1439--1468. ⟨10.1007/s10444-019-09673-1⟩

Article dans une revue hal-01511624v1
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Sparse polynomial interpolation: sparse recovery, super resolution, or Prony?

Cédric Josz , Jean-Bernard Lasserre , Bernard Mourrain

Advances in Computational Mathematics, 2019, 45 (3), pp.1401-1437. ⟨10.1007/s10444-019-09672-2⟩

Article dans une revue hal-01575325v2

In SDP relaxations, inaccurate solvers do robust optimization

Jean-Bernard Lasserre , Victor Magron

SIAM Journal on Optimization, 2019, 29 (3), pp.2128-2145. ⟨10.1137/18M1225677⟩

Article dans une revue hal-01915976v1
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Semidefinite Relaxations for Lebesgue and Gaussian Measures of Unions of Basic Semialgebraic Sets

Jean B Lasserre , Youssouf Emin

Mathematics of Operations Research, 2019, 44 (4), pp.1145-1509. ⟨10.1287/moor.2018.0980⟩

Article dans une revue hal-01543361v1
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Approximate Optimal Designs for Multivariate Polynomial Regression

Yohann de Castro , Fabrice Gamboa , Didier Henrion , Roxana Hess , Jean-Bernard Lasserre

Annals of Statistics, 2019, 47 (1), pp.127-155. ⟨10.1214/18-AOS1683⟩

Article dans une revue hal-01483490v2

Optimal data fitting: a moment approach

Jean-Bernard Lasserre , Victor Magron

SIAM Journal on Optimization, 2018, 28 (4), pp.3127-3144. ⟨10.1137/18M1170108⟩

Article dans une revue hal-01706850v1
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Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity

Tillmann Weisser , Jean-Bernard Lasserre , Kim-Chuan Toh

Mathematical Programming Computation, 2018, 10, pp.1--32

Article dans une revue hal-01341931v3
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Determining Projection Constants of Univariate Polynomial Spaces

Simon Foucart , Jean-Bernard Lasserre

Journal of Approximation Theory, 2018, 235, pp.74-91. ⟨10.1016/j.jat.2018.06.002⟩

Article dans une revue hal-01679124v1
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Computing gaussian & exponential measures of semi-algebraic sets

Jean-Bernard Lasserre

Advances in Applied Mathematics, 2017, 91, pp.137-163

Article dans une revue hal-01185641v2
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A bounded degree SOS hierarchy for polynomial optimization

Jean-Bernard Lasserre , Toh Kim-Chuan , Yang Shouguang

EURO Journal on Computational Optimization, 2017, 5 (1), pp.87--117

Article dans une revue hal-01109125v2

Modeling crack discontinuities without element-partitioning in the extended finite element method

Eric B Chin , Jean-Bernard Lasserre , Natarajan Sukumar

International Journal for Numerical Methods in Engineering, 2017, 110 (11), pp.1021-1048. ⟨10.1002/nme.5436⟩

Article dans une revue hal-01426656v1
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Exact solutions to Super Resolution on semi-algebraic domains in higher dimensions

Yohann de Castro , Fabrice Gamboa , Didier Henrion , Jean-Bernard Lasserre

IEEE Transactions on Information Theory, 2017, 63 (1), pp. 621-630. ⟨10.1109/TIT.2016.2619368⟩

Article dans une revue hal-01114328v2

Bound-Constrained Polynomial Optimization Using Only Elementary Calculations

Etienne de Klerk , Jean B Lasserre , Monique Laurent , Zhao Sun

Mathematics of Operations Research, 2017, 42 (3), pp.834 - 853. ⟨10.1287/moor.2016.0829⟩

Article dans une revue hal-01698348v1
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Representation of chance-constraints with strong asymptotic guarantees

Jean-Bernard Lasserre

IEEE Control Systems Letters, 2017, 1 (1), pp.50--55. ⟨10.1109/LCSYS.2017.2704295⟩

Article dans une revue hal-01487006v2
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Lebesgue decomposition in action via semidefinite relaxations

Jean-Bernard Lasserre

Advances in Computational Mathematics, 2016, 42 (5), pp.1129-1148. ⟨10.1007/s10444-016-9456-1⟩

Article dans une revue hal-01212385v2
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Fast and Accurate Computation of Orbital Collision Probability for Short-Term Encounters

Romain Serra , Denis Arzelier , Mioara Joldes , Jean-Bernard Lasserre , Aude Rondepierre et al.

Journal of Guidance, Control, and Dynamics, 2016, 39 (5), pp.1009-1021. ⟨10.2514/1.G001353⟩

Article dans une revue hal-01132149v1
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A MAX-CUT FORMULATION OF 0/1 PROGRAMS

Jean-Bernard Lasserre

Operations Research Letters, 2016, 44 (2), pp.158--164

Article dans une revue hal-01154698v3
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Semidefinite approximations of the polynomial abscissa

Roxana Hess , Didier Henrion , Jean-Bernard Lasserre , Tien Son Pham

SIAM Journal on Control and Optimization, 2016, 54 (3), pp. 1633-1656

Article dans une revue hal-01181623v1
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CONVEX OPTIMIZATION AND PARSIMONY OF L p -BALLS REPRESENTATION *

Jean-Bernard Lasserre

SIAM Journal on Optimization, 2016, SIAM Journal on Optimization, 26 (1), pp.247--273. ⟨10.1137/140983082⟩

Article dans une revue hal-01053891v3
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CONVERGENT SEMIDEFINITE PROGRAMMING RELAXATIONS FOR GLOBAL BILEVEL POLYNOMIAL OPTIMIZATION PROBLEMS *

V Jeyakumar † , Jean-Bernard Lasserre , G Li , T.S Pham

SIAM Journal on Optimization, 2016, 26 (1), pp.753--780. ⟨10.1137/15M1017922⟩

Article dans une revue hal-01295159v1
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Linear conic optimization for inverse optimal control

Edouard Pauwels , Didier Henrion , Jean-Bernard Lasserre

SIAM Journal on Control and Optimization, 2016, 54 (3), pp.1798-1825. ⟨10.1137/14099454X⟩

Article dans une revue hal-01080428v3
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Algebraic-exponential data recovery from moments

Jean-Bernard Lasserre , Mihai Putinar

Discrete and Computational Geometry, 2015, 54 (5), pp.993-1012. ⟨10.1007/s00454-015-9739-1⟩

Article dans une revue hal-00936719v2
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Rank-constrained fundamental matrix estimation by polynomial global optimization versus the eight-point algorithm

Florian Bugarin , Adrien Bartoli , Didier Henrion , Jean-Bernard Lasserre , Jean-José Orteu et al.

Journal of Mathematical Imaging and Vision, 2015, 53 (1), pp.42-60

Article dans une revue hal-00723015v2
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Moments and Legendre-Fourier Series for Measures Supported on Curves

Jean-Bernard Lasserre

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⟩

Article dans une revue hal-01187750v2
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Minimizing the sum of many rational functions

Florian Bugarin , Didier Henrion , Jean-Bernard Lasserre

Mathematical Programming Computation, 2015, 8 (1), pp. 83-111. ⟨10.1007/s12532-015-0089-z⟩

Article dans une revue hal-00569067v2
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Optimization as Motion Selection Principle in Robot Action

Jean-Paul Laumond , Nicolas Mansard , Jean-Bernard Lasserre

Communications of the ACM, 2015, 58 (5), pp.64-74. ⟨10.1145/2743132⟩

Article dans une revue hal-01376752v1
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Level sets and non Gaussian integrals of positively homogeneous functions

Jean-Bernard Lasserre

International Game Theory Review, 2015, 17 (1), pp.10.1142/S0219198915400010. ⟨10.1142/S0219198915400010⟩

Article dans une revue hal-00637049v3
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Volume of slices and sections of the simplex in closed form

Jean-Bernard Lasserre

Optimization Letters, 2015, 9 (7), pp.1263--1269

Article dans une revue hal-01095071v1
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A generalization of Löwner-John's ellipsoid theorem

Jean-Bernard Lasserre

Mathematical Programming, Series A, 2015, 152, pp.559--591. ⟨10.1007/s10107-014-0798-5⟩

Article dans une revue hal-00785158v5
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Semidefinite approximations of projections and polynomial images of semialgebraic sets

Victor Magron , Didier Henrion , Jean-Bernard Lasserre

SIAM Journal on Optimization, 2015, 25 (4), pp. 2143-2164

Article dans une revue hal-01075343v2
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Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra

Eric B Chin , Jean B Lasserre , N Sukumar

Computational Mechanics, 2015, 56, pp.967 - 981. ⟨10.1007/s00466-015-1213-7⟩

Article dans une revue hal-01426581v1
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Mean squared error minimization for inverse moment problems

Didier Henrion , Jean-Bernard Lasserre , Martin Mevissen

Applied Mathematics and Optimization, 2014, 70 (1), pp. 83-110

Article dans une revue hal-00725977v1
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New approximations for the cone of copositive matrices and its dual

Jean-Bernard Lasserre

Mathematical Programming, Series A, 2014, 144, pp.265-276. ⟨10.1007/s10107-013-0632-5⟩

Article dans une revue hal-00545755v2
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Optimality in Robot Motion: Optimal Versus Optimized Motion

Jean-Paul Laumond , Nicolas Mansard , Jean-Bernard Lasserre

Communications of the ACM, 2014, 57 (9), pp.82 - 89. ⟨10.1145/2629535⟩

Article dans une revue hal-01376749v1
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Approximating Pareto Curves using Semidefinite Relaxations

Victor Magron , Didier Henrion , Jean-Bernard Lasserre

Operations Research Letters, 2014, 42 (6-7), pp.432-437

Article dans une revue hal-00980625v2
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On Polynomial Optimization over Non-compact Semi-algebraic Sets

Vaithilingam Jeyakumar , Jean-Bernard Lasserre , G. Li

Journal of Optimization Theory and Applications, 2014, 163, pp.707--718. ⟨10.1007/s10957-014-0545-3⟩

Article dans une revue hal-00813962v2
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The K-moment problem for continuous linear functionals

Jean-Bernard Lasserre

Transactions of the American Mathematical Society, 2013, 365, pp.2489--2504

Article dans une revue hal-00570653v2
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Recovering an homogeneous polynomial from moments of its level set

Jean-Bernard Lasserre

Discrete and Computational Geometry, 2013, 50 (3), pp. 673-678

Article dans une revue hal-00725422v1
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Borel measures with a density on a compact semi-algebraic set

Jean-Bernard Lasserre

Archiv der Mathematik, 2013, 101, pp.361--371. ⟨10.1007/s00013-013-0557-5⟩

Article dans une revue hal-00808538v2
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Inverse polynomial optimization

Jean-Bernard Lasserre

Mathematics of Operations Research, 2013, 38 (3), pp.418-436

Article dans une revue hal-00577168v3
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Analytic perturbation of generalized inverses

Konstantin Avrachenkov , Jean-Bernard Lasserre

Linear Algebra and its Applications, 2013, 438 (4), pp.1793-1813. ⟨10.1016/j.laa.2011.10.037⟩

Article dans une revue hal-00926609v1
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A Lagrangian relaxation view of linear and semidefinite hierarchies

Jean-Bernard Lasserre

SIAM Journal on Optimization, 2013, 23, pp.1742--1756

Article dans une revue hal-00742918v1
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Moment Matrices, Border Bases and Real Radical Computation

Jean-Bernard Lasserre , Monique Laurent , Bernard Mourrain , Philipp Rostalski , Philippe Trébuchet

Journal of Symbolic Computation, 2013, 51, pp.63-85. ⟨10.1016/j.jsc.2012.03.007⟩

Article dans une revue hal-00651759v1
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Existence of Gaussian cubature formulas

Jean-Bernard Lasserre

Journal of Approximation Theory, 2012, 164 (5), p. 572-585

Article dans une revue hal-00595007v2
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The truncated K-Moment problem for closure of open sets

Greg Blekherman , Jean-Bernard Lasserre

Journal of Functional Analysis, 2012, 263 (11), pp. 3604-3616

Article dans une revue hal-00613043v2
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Inner approximations for polynomial matrix inequalities and robust stability regions

Didier Henrion , Jean-Bernard Lasserre

IEEE Transactions on Automatic Control, 2012, 57 (6), p.1456-1467

Article dans une revue hal-00588754v2
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SEMIDEFINITE PROGRAMMING FOR MIN-MAX PROBLEMS AND GAMES

Rida Laraki , Jean-Bernard Lasserre

Mathematical Programming, Series A, 2012, 131 (1-2), pp. 305-332

Article dans une revue hal-00331529v2
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An algorithm for semi-infinite polynomial optimization

Jean-Bernard Lasserre

TOP, 2012, 20 (1), p.119-129

Article dans une revue hal-00558159v1
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A "joint+marginal" heuristic for 0/1 programs

Jean-Bernard Lasserre , Thanh Tung Phan

Journal of Global Optimization, 2012, 54, pp.729--744

Article dans une revue hal-00463095v2
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A new look at nonnegativity on closed sets and polynomial optimization

Jean-Bernard Lasserre

SIAM Journal on Optimization, 2011, 21 (3), pp.864-885

Article dans une revue hal-00512560v3
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On Convex optimization without convex representation

Jean-Bernard Lasserre

Optimization Letters, 2011, 5 (4), p. 549-556

Article dans une revue hal-00495396v3
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Bounding the support of a measure from its marginal moments

Jean-Bernard Lasserre

Proceedings of the American Mathematical Society, 2011, 139 (9), p. 3375-3382

Article dans une revue hal-00530932v1
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Lp-norms, Log-barriers and Cramer transform in Optimization

Jean-Bernard Lasserre , Eduardo S. Zeron

Set Valued Analysis, 2010, 18 (3-4), p.513-530

Article dans une revue hal-00444812v2

Positivity and optimization for semi-algebraic functions

Jean-Bernard Lasserre , Mihai Putinar

SIAM Journal on Optimization, 2010, 20, pp.3364--3383. ⟨10.1137/090775221⟩

Article dans une revue hal-00430192v1
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On representations of the feasible set in convex optimization

Jean-Bernard Lasserre

Optimization Letters, 2010, 4 (1), p. 1-5. ⟨10.1007/s11590-009-0153-6⟩

Article dans une revue hal-00430141v1
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Certificates of convexity for basic semi-algebraic sets

Jean-Bernard Lasserre

Applied Mathematics Letters, 2010, 23 (8), p. 912-916

Article dans une revue hal-00356714v2
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A "joint+marginal" approach to parametric polynomial optimization

Jean-Bernard Lasserre

SIAM Journal on Optimization, 2010, 20 (4), pp. 1995-2022

Article dans une revue hal-00384400v1
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GloptiPoly 3: moments, optimization and semidefinite programming

Didier Henrion , Jean-Bernard Lasserre , Johan Lofberg

Optimization Methods and Software, 2009, 24 (4-5), pp. 761-779

Article dans une revue hal-00172442v1
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Convex sets with semidefinite representation

Jean-Bernard Lasserre

Mathematical Programming, Series A, 2009, 120 (2), pp.457-477. ⟨10.1007/s10107-008-0222-0⟩

Article dans une revue hal-00331665v1
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Approximate volume and integration for basic semi-algebraic sets

Didier Henrion , Jean-Bernard Lasserre , Carlo Savorgnan

SIAM Review, 2009, 51 (4), pp.722-743

Article dans une revue hal-00297384v2
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Nonlinear optimal control via occupation measures and LMI-relaxations

Jean-Bernard Lasserre , Didier Henrion , Christophe Prieur , Emmanuel Trélat

SIAM Journal on Control and Optimization, 2008, 47 (4), pp.1643--1666

Article dans une revue hal-00136032v3
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Computing uniform convex approximations for convex envelopes and convex hulls

Rida Laraki , Jean-Bernard Lasserre

Journal of Convex Analysis, 2008, 15 (3), pp.635-654

Article dans une revue hal-00243009v1

Hierarchical scheduling for decision support

Gérard Fontan , Colette Mercé , Jean-Claude Hennet , Jean-Bernard Lasserre

Journal of Intelligent Manufacturing, 2005, 16 (2), pp.235-242

Article dans une revue hal-00860414v1

On the Importance of Sequencing Decisions in Production Planning and Scheduling

Stéphane Dauzère-Pérès , Jean-Bernard Lasserre

International Transactions in Operational Research, 2002, 9 (6), pp.779-793. ⟨10.1111/1475-3995.00388⟩

Article dans une revue emse-00520345v1
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Pythagoras' theorem for areas

Jean-Baptiste Hiriart-Urruty , Jean Pierre Quadrat , Jean Bernard Lasserre

The American Mathematical Monthly, 2001, 108 (6), pp.549-551

Article dans une revue hal-04118478v1
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Uncertainty Quantification of Set-Membership Estimation in Control and Perception: Revisiting the Minimum Enclosing Ellipsoid

Yukai Tang , Jean-Bernard Lasserre , Heng Yang

L4DC 2024, Jul 2024, Oxford (UK), France. pp.1--36

Communication dans un congrès hal-04697144v1

Verifying Properties of Binary Neural Networks Using Sparse Polynomial Optimization

Jianting Yang , Srećko Ðurašinović , Jean-Bernard Lasserre , Victor Magron , Jun Zhao

Thirteenth International Conference on Learning Representations (ICLR), 2025, Apr 2025, Singapour, Singapore. 22 p

Communication dans un congrès hal-04589986v1

Leveraging the properties of the Christoffel function for anomaly detection in data streams

Louise Travé-Massuyès , Kévin Ducharlet , Jean-Bernard Lasserre

Congrès Annuel de la SAGIP, SAGIP, May 2024, Lyon, France

Communication dans un congrès hal-04794461v1

The Christoffel-Darboux Kernel for Data Analysis

Jean-Bernard Lasserre

23ème congrès annuel de la Société Française de Recherche Opérationnelle et d'Aide à la Décision, INSA Lyon, Feb 2022, Villeurbanne - Lyon, France

Communication dans un congrès hal-03595424v1
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Optimization of Polynomials with Sparsity Encoded in a Few Linear Forms

Jean-Bernard Lasserre

25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022), Sep 2022, Beyreuth, Germany. pp.383-387

Communication dans un congrès hal-03628891v1
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Polynomial superlevel set approximation of swept-volume for computing collision probability in space encounters

Denis Arzelier , Florent Bréhard , Mioara Joldeş , Jean-Bernard Lasserre , Sohie Laurens et al.

60th IEEE Conference on Decision and Control (CDC 2021), IEEE, Dec 2021, Austin, Texas, United States. ⟨10.1109/CDC45484.2021.9683445⟩

Communication dans un congrès hal-03158347v1

Piecewise-Linear Motion Planning amidst Static, Moving, or Morphing Obstacles

Bachir El Khadir , Jean-Bernard Lasserre , Vikas Sindhwani

IEEE International Conference on Robotics and Automation (ICRA 2021), IEEE Robotics & Automation Society, May 2021, Xi'an, China. ⟨10.1109/ICRA48506.2021.9561614⟩

Communication dans un congrès hal-02971806v1

Semialgebraic Representation of Monotone Deep Equilibrium Models and Applications to Certification

Tong Chen , Jean-Bernard Lasserre , Victor Magron , Edouard Pauwels

Advances in Neural Information Processing Systems, Dec 2021, Online, France

Communication dans un congrès hal-03265346v1

Semialgebraic Optimization for Lipschitz Constants of ReLU Networks

Tong Chen , Jean-Bernard Lasserre , Victor Magron , Edouard Pauwels

Conference on Neural Information Processing Systems, Dec 2020, Vancouver, Canada

Communication dans un congrès hal-02940488v1
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Approximating regions of attraction of a sparse polynomial differential system *

Didier Henrion , Matteo Tacchi , Carmen Cardozo , Jean B Lasserre

IFAC World Congress, Jul 2020, virtual, Germany. pp.3266-3271, ⟨10.1016/j.ifacol.2020.12.1488⟩

Communication dans un congrès hal-02367689v2
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On Moment Problems with Holonomic Functions

Florent Bréhard , Mioara Joldes , Jean-Bernard Lasserre

44th International Symposium on Symbolic and Algebraic Computation (ISSAC 2019), Jul 2019, Pékin, China. pp.66-73

Communication dans un congrès hal-02006645v1
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Volume of sub-level sets of polynomials

Jean B Lasserre

18th European Control Conference (ECC 2019), Jun 2019, Naples, Italy. pp.1975-1980, ⟨10.23919/ECC.2019.8795995⟩

Communication dans un congrès hal-02277745v1
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THE MOMENT-SOS HIERARCHY

Jean B Lasserre

International Congress of Mathematicians 2018 (ICM 2018), Aug 2018, Rio de Janeiro, Brazil. 21p

Communication dans un congrès hal-01856182v1
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On inverse optimal control via polynomial optimization

Jean-Bernard Lasserre , Jérémy Rouot

IEEE 56th Annual Conference on Decision and Control (CDC 2017), Dec 2017, Melbourne, Australia. pp.721-726, ⟨10.1109/CDC.2017.8263745⟩

Communication dans un congrès hal-01493034v1
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Sorting out typicality with the inverse moment matrix SOS polynomial

Jean-Bernard Lasserre , Edouard Pauwels

30th Conference on Neural Information Processing Systems (NIPS 2016), Dec 2016, Barcelone, Spain. pp.1-16, ⟨10.48550/arXiv.1606.03858⟩

Communication dans un congrès hal-01331591v1

A New Method to Compute the Probability of Collision for Short-term Space Encounters

Romain Serra , Denis Arzelier , Mioara Joldes , Jean-Bernard Lasserre , Aude Rondepierre et al.

AIAA/AAS Astrodynamics Specialist Conference, Aug 2014, San Diego, United States. 6p., ⟨10.2514/6.2014-4366⟩

Communication dans un congrès hal-01092420v1
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Inverse optimal control with polynomial optimization

Edouard Pauwels , Didier Henrion , Jean-Bernard Lasserre

IEEE Conference on Decision and Control ( CDC ), Dec 2014, Los Angeles, United States. pp.5581-5586

Communication dans un congrès hal-00961722v1
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Moment LMI approach to LTV impulsive control

Mathieu Claeys , Denis Arzelier , Didier Henrion , Jean-Bernard Lasserre

IEEE Conference on Decision and Control ( CDC ), Dec 2013, Florence, Italy. pp. 5810-5815

Communication dans un congrès hal-00797951v1
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Measures and LMI for impulsive optimal control with applications to space rendezvous problems

Mathieu Claeys , Denis Arzelier , Didier Henrion , Jean-Bernard Lasserre

American Control Conference (ACC 2012), Jun 2012, Montreal, Canada. pp.161-166

Communication dans un congrès hal-00633138v1

Application de l'optimisation globale par théorie des moments aux problèmes d'estimation issus de la vision artificielle

Florian Bugarin , Didier Henrion , Jean-José Orteu , Thierry Sentenac , Jean-Bernard Lasserre

Ecole de Printemps en Traitement d'Image, Martel (France), 18-22 avril 2011, 2011, Martel, France

Communication dans un congrès hal-02056683v1

Moment matrices, border bases and real radical computation

Bernard Mourrain , Monique Laurent , Jean-Bernard Lasserre , Philippe Trébuchet

MEGA2011, May 2011, Stockholm, Sweden. pp.1-23

Communication dans un congrès hal-01282654v1
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Moment and SDP relaxation techniques for smooth approximations of problems involving nonlinear differential equations

Martin Mevissen , Jean-Bernard Lasserre , Didier Henrion

World IFAC Congress (IFAC 2011), Aug 2011, Milan, Italy. p. 10887-10892

Communication dans un congrès hal-00462301v2

Application de l'optimisation globale par théorie des moments aux problèmes d'estimation issus de la vision artificielle

Florian Bugarin , Didier Henrion , Jean-José Orteu , Thierry Sentenac , Jean-Bernard Lasserre

Journée GDR ISIS, Paris (France), 2011., 2011, Paris, France

Communication dans un congrès hal-02056682v1

Application de l'optimisation globale par théorie des moments aux problèmes d'estimation issus de la vision artificielle

Florian Bugarin , Didier Henrion , Jean-José Orteu , Thierry Sentenac , Jean-Bernard Lasserre

Congrès de l'École Doctorale Systèmes (EDSYS), Toulouse (France), 10-11 mai 2011, 2011, Toulouse, France

Communication dans un congrès hal-02056681v1
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Optimisation globale polynomiale appliquée à la rectification projective d'images non calibrées

Florian Bugarin , Didier Henrion , Thierry Sentenac , Jean-Bernard Lasserre , Jean-José Orteu

French Conference on Pattern Recognition and Artificial Intelligence (RFIA 2010), Jan 2010, Caen, France. 8p

Communication dans un congrès hal-00420081v1
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Nonlinear optimal control synthesis via occupation measures

Didier Henrion , Jean-Bernard Lasserre , Carlo Savorgnan

47th IEEE Conference on Decision and Control, Dec 2008, Cancun, Mexico. 16p

Communication dans un congrès hal-00262309v1

The Christoffel-Darboux Kernel for Data Analysis

Jean-Bernard Lasserre , Edouard Pauwels , Mihai Putinar

Cambridge University Press. Cambridge University Press, 2022, Cambridge Monographs on Applied and Computational Mathematics, 9781108937078

Ouvrages hal-03590829v1

The Moment-SOS Hierarchy

Didier Henrion , Milan Korda , Jean-Bernard Lasserre

World Scientific. World Scientific Publishing Europe Ltd., 4, 248p., 2020, Optimization and its Applications, 978-1-78634-853-1. ⟨10.1142/q0252⟩

Ouvrages hal-03009026v1

Geometric and Numerical Foundations of Movements

Jean-Paul Laumond , Nicolas Mansard , Jean-Bernard Lasserre

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⟩

Ouvrages hal-01590779v1

An Introduction to Polynomial and Semi-Algebraic Optimization

Jean-Bernard Lasserre

Cambridge University Press, 2015, 9781107447226. ⟨10.1017/CBO9781107447226⟩

Ouvrages hal-02095856v1

Modern Optimization Modelling Techniques

Roberto Cominetti , Francisco Facchinei , Jean B Lasserre

Springer Basel, 2012, 978-3-0348-0290-1. ⟨10.1007/978-3-0348-0291-8⟩

Ouvrages hal-02095858v1

Handbook on Semidefinite, Conic and Polynomial Optimization

Jean-Bernard Lasserre , Anjos F. Miguel

Miguel Anjos and Jean B. Lasserre. Springer, pp.968, 2011, International Series in Operations Research & Management Science, 978-1-4614-0768-3

Ouvrages hal-00697757v1

Linear and Integer Programming vs Linear Integration and Counting

Jean-Bernard Lasserre

Springer-Verlag. , 2009, Springer Series in Operations Research and Financial Engineering, 978-0-387-09413-7. ⟨10.1007/978-0-387-09414-4⟩

Ouvrages hal-02095868v1

Markov Chains and Invariant Probabilities

Onésimo Hernández-Lerma , Jean-Bernard Lasserre

Birkhäuser Basel, 2003, 978-3-0348-9408-1. ⟨10.1007/978-3-0348-8024-4⟩

Ouvrages hal-02095863v1

Further Topics on Discrete-Time Markov Control Processes

Onésimo Hernández-Lerma , Jean-Bernard Lasserre

Springer New York, 1999, 978-1-4612-6818-5. ⟨10.1007/978-1-4612-0561-6⟩

Ouvrages hal-02095864v1

Discrete-Time Markov Control Processes

Onésimo Hernández-Lerma , Jean-Bernard Lasserre

Springer New York, 1996, 978-1-4612-6884-0. ⟨10.1007/978-1-4612-0729-0⟩

Ouvrages hal-02095866v1
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Polynomial Optimization, Certificates of Positivity, and Christoffel Function

Jean-Bernard Lasserre

Michal Kočvara; Bernard Mourrain; Cordian Riener. Polynomial Optimization, Moments, and Applications, Springer, pp.1-20, 2023

Chapitre d'ouvrage hal-04076663v1
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Moments and convex optimization for analysis and control of nonlinear partial differential equations

Milan Korda , Didier Henrion , Jean-Bernard Lasserre

Elsevier. Handbook of Numerical Analysis, 23, Elsevier, pp.339--366, 2022

Chapitre d'ouvrage hal-01771699v1
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Positivity certificates in optimal control

Edouard Pauwels , Didier Henrion , Jean-Bernard Lasserre

Springer. Geometric and Numerical Foundations of Movements, 117, Springer, pp.113-131, 2017, Springer Tracts in Advanced Robotics, 978-3-319-51546-5

Chapitre d'ouvrage hal-01311874v1
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Gaussian-like fixed point and variational properties of integral discriminants

Jean B Lasserre

2026

Pré-publication, Document de travail hal-05515872v1
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CONNECTING MAX-ENTROPY WITH COMPUTATIONAL GEOMETRY, LP AND SDP

Jean B Lasserre

2026

Pré-publication, Document de travail hal-05444859v1
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Finite convergence of the Moment-SOS hierarchy under hidden convexity

Srećko Ðurašinović , Jean B Lasserre

2026

Pré-publication, Document de travail hal-05530832v1

Leveraging Christoffel-Darboux Kernels to Strengthen Moment-SOS Relaxations

Srećko Ðurašinović , Perla Azzi , Jean-Bernard Lasserre , Victor Magron , Olga Mula et al.

2025

Pré-publication, Document de travail hal-04913273v1
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Rank conditions for exactness of semidefinite relaxations in polynomial optimization

Jean B Lasserre

2025

Pré-publication, Document de travail hal-04877125v1
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Shannon-and von neumann-entropy regularizations of linear and semidefinite programs

Saroj Prasad Chhatoi , Jean B Lasserre

2025

Pré-publication, Document de travail hal-05010676v2
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Mixtures Closest to a Given Measure: A Semidefinite Programming Approach

Srecko Durasinovic , Jean B Lasserre , Victor Magron

2025

Pré-publication, Document de travail hal-05289733v1
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An infinite-dimensional Christoffel function and detection of abnormal trajectories

Didier Henrion , Jean-Bernard Lasserre

2023

Pré-publication, Document de travail hal-04631100v1
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Least multivariate Chebyshev polynomials on diagonally determined domains

Mareike Dressler , Simon Foucart , Mioara Joldeş , Etienne de Klerk , Jean-Bernard Lasserre et al.

2024

Pré-publication, Document de travail hal-04727563v1
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Approximate D-optimal design and equilibrium measure

Didier Henrion , Jean Bernard Lasserre

2025

Pré-publication, Document de travail hal-04688534v3
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The Moment-SOS hierarchy: Applications and related topics

Jean-Bernard Lasserre

2023

Pré-publication, Document de travail hal-04201167v1

Urysohn in action: separating semialgebraic sets by polynomials

Milan Korda , Jean-Bernard Lasserre , Alexey Lazarev , Victor Magron , Simone Naldi

2022

Pré-publication, Document de travail hal-03712510v1

Tractable hierarchies of convex relaxations for polynomial optimization on the nonnegative orthant

Ngoc Hoang Anh Mai , Victor Magron , Jean-Bernard Lasserre , Kim-Chuan Toh

2022

Pré-publication, Document de travail hal-03776853v1
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Leveraging the Christoffel-Darboux Kernel for Online Outlier Detection

Kévin Ducharlet , Louise Travé-Massuyès , Jean-Bernard Lasserre , Marie-Véronique Le Lann , Youssef Miloudi

2022

Pré-publication, Document de travail hal-03562614v1

A hierarchy of spectral relaxations for polynomial optimization

Ngoc Hoang Anh Mai , Victor Magron , Jean-Bernard Lasserre

2021

Pré-publication, Document de travail hal-03149938v1

CS-TSSOS: Correlative and term sparsity for large-scale polynomial optimization

Jie Wang , Victor Magron , Jean B Lasserre , Ngoc Hoang Anh Mai

2020

Pré-publication, Document de travail hal-02566472v1
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Best $\ell_1$-approximation of nonnegative polynomials by sums of squares

Jean-Bernard Lasserre

2010

Pré-publication, Document de travail hal-00546660v1
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Certificates and relaxations for integer programming and the semi-group membership problem

Jean-Bernard Lasserre , Eduardo S. Zeron

2009

Pré-publication, Document de travail hal-00382774v1
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POCP: a package for polynomial optimal control problems

Didier Henrion , Jean-Bernard Lasserre , Carlo Savorgnan

2008

Pré-publication, Document de travail hal-00325180v1

A Positivstellensatz which Preserves the Coupling Pattern of Variables

Jean-Bernard Lasserre

2006

Pré-publication, Document de travail hal-00143641v1

The moment problem with bounded density

Jean-Bernard Lasserre

2006

Pré-publication, Document de travail hal-00143750v1
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Polynomial Optimization for Nonlinear Dynamics: Theory, Algorithms and Applications

Giovanni Fantuzzi , David Goluskin , Jean Bernard Lasserre

Oberwolfach Institute. 2025, pp.1975-2032

Rapport (rapport d’expertise collective) hal-04954840v1
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Rigorous derivation of Coppola's formula for the computation of the probability of collision between space objects

Denis Arzelier , Florent Bréhard , Mioara Joldes , Jean-Bernard Lasserre , Aude Rondepierre

[Research Report] Rapport LAAS n° 20008, LAAS-CNRS. 2020

Rapport (rapport de recherche) hal-02444341v1

Global Probability of Collision: Problem modeling via occupation measures

Denis Arzelier , Florent Bréhard , Mioara Joldes , Jean-Bernard Lasserre , Léo Martire et al.

DAJ/AR/EO-2016-6457, LAAS / CNRS; CNES. 2019

Rapport hal-02077552v1
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Bilan et prospectives 2019 du département Décision & Optimisation du LAAS-CNRS

Dimitri Peaucelle , Marie-José Huguet , Yannick Pencolé , Christian Artigues , Emmanuel Hébrard et al.

2019

Rapport (rapport technique) hal-02295816v1
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A Power Series Expansion based Method to compute the Probability of Collision for Short-term Space Encounters

Romain Serra , Denis Arzelier , Mioara Joldes , Jean-Bernard Lasserre , Aude Rondepierre et al.

[Research Report] LAAS-CNRS. 2015

Rapport (rapport de recherche) hal-01131384v2
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Structured Function Systems and Applications

Maria Charina , Jean Bernard Lasserre , Mihai Putinar , Joachim Stöckler

Oberwolfach Institute. 2013, pp.579-655

Rapport (rapport d’expertise collective) hal-04954973v1