Taming non convexity?

Project Information

TAMING

Grant agreement ID: 666981

DOI

10.3030/666981

Project closed

EC signature date 10 July 2015

Start date 1 September 2015

End date 31 August 2019

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 450 625,00

EU contribution

€ 1 450 625,00

Coordinated by

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (26)

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
Publisher: IEEE
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
Publisher: Academic Press
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
Publisher: Society for Industrial and Applied Mathematics
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
Publisher: American Mathematical Society
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
Publisher: Institute of Mathematical Statistics
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
Publisher: Institute of Electrical and Electronics Engineers
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
Publisher: Kluwer Academic Publishers
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
Publisher: Kluwer Academic Publishers
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
Publisher: Society for Industrial and Applied Mathematics
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
Publisher: American Institute of Mathematical Sciences
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
Publisher: SIAM
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
Publisher: Springer Verlag
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
Publisher: Society for Industrial and Applied Mathematics
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
Publisher: Springer Verlag
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
Publisher: Institute for Operations Research and the Management Sciences
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
Publisher: Elsevier BV
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
Publisher: Springer
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
Publisher: Taylor & Francis
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
Publisher: Society for Industrial and Applied Mathematics
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
Publisher: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
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
Publisher: Springer Verlag
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
Publisher: Institute for Operations Research and the Management Sciences
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
Publisher: Elsevier BV
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
Publisher: Academic Press
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
Publisher: Springer Verlag
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
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/14099454X

Conference proceedings (4)

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, ISBN 978-1-5090-2873-3
Publisher: IEEE
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, ISBN 9781450360845
Publisher: ACM Press
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, ISBN 978-3-907144-00-8
Publisher: IEEE
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, ISBN 9781-510838819
Publisher: Curran Associates, Inc.

Book chapters (1)

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
Publisher: Springer

Monographic books (1)

Geometric and Numerical Foundations of Movements

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