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Publications

Representation of Chance-Constraints With Strong Asymptotic Guarantees

Author(s): Jean B. Lasserre
Published in: IEEE Control Systems Letters, Issue 1/1, 2017, Page(s) 50-55, ISSN 2475-1456
DOI: 10.1109/LCSYS.2017.2704295

Determining projection constants of univariate polynomial spaces

Author(s): Simon Foucart, Jean B. Lasserre
Published in: Journal of Approximation Theory, 2018, Page(s) 74--91, ISSN 0021-9045
DOI: 10.1016/j.jat.2018.06.002

Lasserre Hierarchy for Large Scale Polynomial Optimization in Real and Complex Variables

Author(s): Cédric Josz, Daniel K. Molzahn
Published in: SIAM Journal on Optimization, Issue 28/2, 2018, Page(s) 1017-1048, ISSN 1052-6234
DOI: 10.1137/15M1034386

Positive functionals and Hessenberg matrices

Author(s): Jean B. Lasserre, Mihai Putinar
Published in: Proceedings of the American Mathematical Society, 2018, Page(s) 1, ISSN 0002-9939
DOI: 10.1090/proc/14266

Approximate optimal designs for multivariate polynomial regression

Author(s): Yohann De Castro, Fabrice Gamboa, Didier Henrion, Roxana Hess, Jean-Bernard Lasserre
Published in: The Annals of Statistics, Issue 47/1, 2019, Page(s) 127-155, ISSN 0090-5364
DOI: 10.1214/18-aos1683

Exact Solutions to Super Resolution on Semi-Algebraic Domains in Higher Dimensions

Author(s): Yohann De Castro, F. Gamboa, Didier Henrion, J.-B. Lasserre
Published in: IEEE Transactions on Information Theory, Issue 63/1, 2017, Page(s) 621-630, ISSN 0018-9448
DOI: 10.1109/tit.2016.2619368

The empirical Christoffel function with applications in data analysis

Author(s): Jean B. Lasserre, Edouard Pauwels
Published in: Advances in Computational Mathematics, 2019, Page(s) 1--30, ISSN 1019-7168
DOI: 10.1007/s10444-019-09673-1

Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony?

Author(s): Cédric Josz, Jean Bernard Lasserre, Bernard Mourrain
Published in: Advances in Computational Mathematics, 2019, ISSN 1019-7168
DOI: 10.1007/s10444-019-09672-2

Optimal Data Fitting: A Moment Approach

Author(s): Jean-Bernard Lasserre, Victor Magron
Published in: SIAM Journal on Optimization, Issue 28/4, 2018, Page(s) 3127-3144, ISSN 1052-6234
DOI: 10.1137/18m1170108

A moment approach for entropy solutions to nonlinear hyperbolic PDEs

Author(s): Swann Marx, Tillmann Weisser, Didier Henrion, Jean Bernard Lasserre
Published in: Mathematical Control & Related Fields, Issue 0/0, 2019, Page(s) 0-0, ISSN 2156-8472
DOI: 10.3934/mcrf.2019032

Volume of Sublevel Sets of Homogeneous Polynomials

Author(s): Jean B. Lasserre
Published in: SIAM Journal on Applied Algebra and Geometry, Issue 3/2, 2019, Page(s) 372-389, ISSN 2470-6566
DOI: 10.1137/18m1222478

Computation of Chebyshev Polynomials for Union of Intervals

Author(s): Simon Foucart, Jean Bernard Lasserre
Published in: Computational Methods and Function Theory, 2019, ISSN 1617-9447
DOI: 10.1007/s40315-019-00285-w

In SDP Relaxations, Inaccurate Solvers Do Robust Optimization

Author(s): Jean-Bernard Lasserre, Victor Magron
Published in: SIAM Journal on Optimization, Issue 29/3, 2019, Page(s) 2128-2145, ISSN 1052-6234
DOI: 10.1137/18m1225677

Distributionally robust polynomial chance-constraints under mixture ambiguity sets

Author(s): Jean B. Lasserre, Tillmann Weisser
Published in: Mathematical Programming, 2019, ISSN 0025-5610
DOI: 10.1007/s10107-019-01434-8

Semidefinite Relaxations for Lebesgue and Gaussian Measures of Unions of Basic Semialgebraic Sets

Author(s): Jean B. Lasserre, Youssouf Emin
Published in: Mathematics of Operations Research, 2019, ISSN 0364-765X
DOI: 10.1287/moor.2018.0980

A MAX-CUT formulation of 0/1 programs

Author(s): Jean B. Lasserre
Published in: Operations Research Letters, Issue 44/2, 2016, Page(s) 158-164, ISSN 0167-6377
DOI: 10.1016/j.orl.2015.12.014

A bounded degree SOS hierarchy for polynomial optimization

Author(s): Jean B. Lasserre, Kim-Chuan Toh, Shouguang Yang
Published in: EURO Journal on Computational Optimization, Issue 5/1-2, 2017, Page(s) 87-117, ISSN 2192-4414
DOI: 10.1007/s13675-015-0050-y

SPECTRA – a Maple library for solving linear matrix inequalities in exact arithmetic

Author(s): Didier Henrion, Simone Naldi, Mohab Safey El Din
Published in: Optimization Methods and Software, 2017, Page(s) 1-17, ISSN 1055-6788
DOI: 10.1080/10556788.2017.1341505

Convergent Semidefinite Programming Relaxations for Global Bilevel Polynomial Optimization Problems

Author(s): V. Jeyakumar, J. B. Lasserre, G. Li, T. S. Phạm
Published in: SIAM Journal on Optimization, Issue 26/1, 2016, Page(s) 753-780, ISSN 1052-6234
DOI: 10.1137/15M1017922

Moments and Legendre-Fourier Series for Measures Supported on Curves

Author(s): Jean B. Lasserre
Published in: Symmetry, Integrability and Geometry: Methods and Applications, Issue 11, 2015, ISSN 1815-0659
DOI: 10.3842/SIGMA.2015.077

Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity

Author(s): Tillmann Weisser, Jean B. Lasserre, Kim-Chuan Toh
Published in: Mathematical Programming Computation, 2017, Page(s) 1-32, ISSN 1867-2949
DOI: 10.1007/s12532-017-0121-6

Bound-Constrained Polynomial Optimization Using Only Elementary Calculations

Author(s): Etienne de Klerk, Jean B. Lasserre, Monique Laurent, Zhao Sun
Published in: Mathematics of Operations Research, Issue 42/3, 2017, Page(s) 834-853, ISSN 0364-765X
DOI: 10.1287/moor.2016.0829

Convergence rates of moment-sum-of-squares hierarchies for optimal control problems

Author(s): Milan Korda, Didier Henrion, Colin N. Jones
Published in: Systems & Control Letters, Issue 100, 2017, Page(s) 1-5, ISSN 0167-6911
DOI: 10.1016/j.sysconle.2016.11.010

Computing Gaussian & exponential measures of semi-algebraic sets

Author(s): Jean B. Lasserre
Published in: Advances in Applied Mathematics, Issue 91, 2017, Page(s) 137-163, ISSN 0196-8858
DOI: 10.1016/j.aam.2017.06.006

Convergence rates of moment-sum-of-squares hierarchies for volume approximation of semialgebraic sets

Author(s): Milan Korda, Didier Henrion
Published in: Optimization Letters, 2017, ISSN 1862-4472
DOI: 10.1007/s11590-017-1186-x

Linear Conic Optimization for Inverse Optimal Control

Author(s): Edouard Pauwels, Didier Henrion, Jean-Bernard Lasserre
Published in: SIAM Journal on Control and Optimization, Issue 54/3, 2016, Page(s) 1798-1825, ISSN 0363-0129
DOI: 10.1137/14099454X

On inverse optimal control via polynomial optimization

Author(s): Jeremy Rouot, Jean-Bernard Lasserre
Published in: 2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017, Page(s) 721-726
DOI: 10.1109/CDC.2017.8263745

On Moment Problems with Holonomic Functions

Author(s): Florent Bréhard, Mioara Joldes, Jean-Bernard Lasserre
Published in: Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation - ISSAC '19, 2019, Page(s) 66-73
DOI: 10.1145/3326229.3326258

Volume of sub-level sets of polynomials

Author(s): Jean B. Lasserre
Published in: 2019 18th European Control Conference (ECC), 2019, Page(s) 1975-1980
DOI: 10.23919/ecc.2019.8795995

Sorting out typicality with the inverse moment matrix SOS polynomial

Author(s): Jean-Bernard Bernard Lasserre, Edouard Pauwels
Published in: Neural Information Processing Systems, Issue 29, 2016, Page(s) 190--198

Positivity certificates in optimal control

Author(s): Edouard Pauwels, Didier Henrion, Jean-Bernard Lasserre
Published in: Springer Tracts in Advanced Robotics - Geometric and Numerical Foundations of Movements, 2017, Page(s) 113--132

Geometric and Numerical Foundations of Movements

Author(s): Jean-Paul Laumond, Nicolas Mansard, Jean-Bernard Lasserre
Published in: Springer Tracts in Advanced Robotics, 2017
DOI: 10.1007/978-3-319-51547-2