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Jean Bernard Lasserre

Curriculum Vitae
40
Documents

Présentation

I graduated from "Ecole Nationale Superieure d'Informatique et Mathematiques Appliquees" [(ENSIMAG](http://www-ensimag.imag.fr/)) in Grenoble, then got my PhD (1978) and "Doctorat d'Etat" (1984) degrees both from [Paul Sabatier University](http://www.ups-tlse.fr/) in Toulouse (France). I have been at [LAAS-CNRS](http://www.laas.fr/) in Toulouse since1980, where I am currently Directeur de Recherche. I am also a member of [IMT](http://www.math.ups-tlse.fr/), the Institute of Mathematics of Toulouse and associate faculty of Toulouse school of Economics (TSE). I was a one year visitor (1978-79 and 1985-86) at the Electrical Engineering Dept. of the University of California at [Berkeley ](http://www.berkeley.edu/)with a fellowship from [INRIA](http://www.inria.fr/) and [NSF.](http://www.nsf.gov/) I have done several one-month visits to Stanford University [(Stanford, ](http://www.stanford.edu/)California), the Massachusetts Institute of Technology [(MIT](http://www.mit.edu/), Cambridge), the Mathematical Sciences Research Institute [(MSRI](http://www.msri.org/), Berkeley), the Fields Institute [(Fields](http://www.fields.utoronto.ca/), Toronto), the Institute for Mathematics and its Applications [(IMA](http://www.ima.umn.edu/), Minneapolis), the Institute for Pure and Applied Mathematics [(IPAM](http://www.ipam.ucla.edu/), UCLA), Cinvestav-IPN [(Cinvestav](http://www.cinvestav.mx/), Mexico), Leiden University [(Leiden](http://www.leidenuniv.nl//), The Netherlands), the Tinbergen Institute [(Tinbergen](http://www.tinbergen.nl/home.html), Amsterdam, The Netherlands), the University of Adelaide [(Adelaide](http://www.adelaide.edu.au/), Australia), the University of South Australia [(UniSA](http://www.unisa.edu.au/), Adelaide), the University of New South wales [(UNSW](http://www.unsw.edu.au/), Sydney), the University of British Columbia [(UBC](http://www.ubc.ca/), Vancouver). Awards & distinctions: \- 2021 Grand Prix INRIA-Académie des Sciences \- 2019 ISSAC' 20109 Distinguished Paper Award (Beijing, July 2019) with F. Bréhard & M. Joldès. \- 2018: Invited Speaker at the International Congress of Mathematicians (ICM 2018), Rio de Janeiro, August 2018. Section 16: Optimal Control & Optimization. \- 2015 [John von Neumann Theory prize](https://www.informs.org/Recognize-Excellence/INFORMS-Prizes-Awards/John-von-Neumann-Theory-Prize) of the [INFORMS society](https://www.informs.org/). \- 2015 [Khachiyan prize](https://www.informs.org/Community/Optimization-Society/Optimization-Society-Prizes/Khachiyan-Prize/2015) of the [Optimization Society](https://www.informs.org/Community/Optimization-Society) of [INFORMS](https://www.informs.org/). \- 2009 [Lagrange prize](http://www.mathprog.org/?nav=lagrange) in Continuous optimization (awarded jointly every 3 years by [SIAM](http://www.siam.org/) and the [Mathematical Optimization Society](http://www.mathopt.org/)). \- SIAM Fellow (class 2014) \- 2014 Laureate of an [ERC-Advanced Grant](http://erc.europa.eu/advanced-grants) from the [European Research Council](http://erc.europa.eu/) (ERC) for the [TAMING project](http://taming.laas.fr/).

Domaines de recherche


Compétences

Publications

50372
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The Christoffel function: Applications, connections and extensions

Jean-Bernard Lasserre
Numerical Algebra, Control and Optimization, inPress
Article dans une revue hal-04488686v1
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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
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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
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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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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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

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
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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 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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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

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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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
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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, 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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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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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

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

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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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

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

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
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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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A Generalized Pell's equation for a class of multivariate orthogonal polynomials

Jean-Bernard Lasserre , Yuan Xu
2023
Pré-publication, Document de travail hal-04163153v2
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A hierarchy of convex relaxations for the total variation distance

Jean-Bernard Lasserre
2023
Pré-publication, Document de travail hal-04367575v1
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CHEBYSHEV AND EQUILIBRIUM MEASURE VS BERNSTEIN AND LEBESGUE MEASURE

Jean-Bernard Lasserre
2023
Pré-publication, Document de travail hal-04043186v1
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The Moment-SOS hierarchy: Applications and related topics

Jean-Bernard Lasserre
2023
Pré-publication, Document de travail hal-04201167v1
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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
2023
Pré-publication, Document de travail hal-04311534v1
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POLYNOMIAL ARGMIN FOR RECOVERY AND APPROXIMATION OF MULTIVARIATE DISCONTINUOUS FUNCTIONS

Didier Henrion , Milan Korda , Jean-Bernard Lasserre
2023
Pré-publication, Document de travail hal-03986252v2

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