Jean B. Lasserre

Orcid: 0000-0003-0860-9913

Affiliations:
  • LAAS, Toulouse, France


According to our database1, Jean B. Lasserre authored at least 167 papers between 1981 and 2023.

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Bibliography

2023
Volumes of Sublevel Sets of Nonnegative Forms and Complete Monotonicity.
SIAM J. Appl. Algebra Geom., December, 2023

A hierarchy of spectral relaxations for polynomial optimization.
Math. Program. Comput., December, 2023

A modified Christoffel function and its asymptotic properties.
J. Approx. Theory, November, 2023

A Sparse Version of Reznick's Positivstellensatz.
Math. Oper. Res., May, 2023

Stokes, Gibbs, and Volume Computation of Semi-Algebraic Sets.
Discret. Comput. Geom., 2023

Uncertainty Quantification of Set-Membership Estimation in Control and Perception: Revisiting the Minimum Enclosing Ellipsoid.
CoRR, 2023

Polynomial argmin for recovery and approximation of multivariate discontinuous functions.
CoRR, 2023

2022
CS-TSSOS: Correlative and Term Sparsity for Large-Scale Polynomial Optimization.
ACM Trans. Math. Softw., December, 2022

Exploiting Constant Trace Property in Large-scale Polynomial Optimization.
ACM Trans. Math. Softw., December, 2022

Optimization on the Euclidean Unit Sphere.
SIAM J. Optim., 2022

Homogeneous polynomials and spurious local minima on the unit sphere.
Optim. Lett., 2022

Positivity certificates and polynomial optimization on non-compact semialgebraic sets.
Math. Program., 2022

Nonnegative forms with sublevel sets of minimal volume.
Math. Program., 2022

Special Issue: Polynomial and Tensor Optimization.
Math. Program., 2022

Exploiting Sparsity for Semi-Algebraic Set Volume Computation.
Found. Comput. Math., 2022

Tractable hierarchies of convex relaxations for polynomial optimization on the nonnegative orthant.
CoRR, 2022

A sublevel moment-SOS hierarchy for polynomial optimization.
Comput. Optim. Appl., 2022

2021
Chordal-TSSOS: A Moment-SOS Hierarchy That Exploits Term Sparsity with Chordal Extension.
SIAM J. Optim., 2021

TSSOS: A Moment-SOS Hierarchy That Exploits Term Sparsity.
SIAM J. Optim., 2021

Minimizing Rational Functions: A Hierarchy of Approximations via Pushforward Measures.
SIAM J. Optim., 2021

The moment-SOS hierarchy and the Christoffel-Darboux kernel.
Optim. Lett., 2021

Dual optimal design and the Christoffel-Darboux polynomial.
Optim. Lett., 2021

Distributionally robust polynomial chance-constraints under mixture ambiguity sets.
Math. Program., 2021

Connecting optimization with spectral analysis of tri-diagonal matrices.
Math. Program., 2021

Data Analysis from Empirical Moments and the Christoffel Function.
Found. Comput. Math., 2021

Semialgebraic Representation of Monotone Deep Equilibrium Models and Applications to Certification.
Proceedings of the Advances in Neural Information Processing Systems 34: Annual Conference on Neural Information Processing Systems 2021, 2021

Piecewise-Linear Motion Planning amidst Static, Moving, or Morphing Obstacles.
Proceedings of the IEEE International Conference on Robotics and Automation, 2021

Polynomial superlevel set approximation of swept-volume for computing collision probability in space encounters.
Proceedings of the 2021 60th IEEE Conference on Decision and Control (CDC), 2021

2020
Computing the Hausdorff Boundary Measure of Semialgebraic Sets.
SIAM J. Appl. Algebra Geom., 2020

Polynomial Optimization for Bounding Lipschitz Constants of Deep Networks.
CoRR, 2020

Semialgebraic Optimization for Lipschitz Constants of ReLU Networks.
Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

2019
In SDP Relaxations, Inaccurate Solvers Do Robust Optimization.
SIAM J. Optim., 2019

Volume of Sublevel Sets of Homogeneous Polynomials.
SIAM J. Appl. Algebra Geom., 2019

Semidefinite Relaxations for Lebesgue and Gaussian Measures of Unions of Basic Semialgebraic Sets.
Math. Oper. Res., 2019

Approximating regions of attraction of a sparse polynomial differential system.
CoRR, 2019

Simple formula for integration of polynomials on a simplex.
CoRR, 2019

The empirical Christoffel function with applications in data analysis.
Adv. Comput. Math., 2019

Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony?
Adv. Comput. Math., 2019

On Moment Problems with Holonomic Functions.
Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation, 2019

Volume of sub-level sets of polynomials.
Proceedings of the 17th European Control Conference, 2019

2018
Optimal Data Fitting: A Moment Approach.
SIAM J. Optim., 2018

Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity.
Math. Program. Comput., 2018

Determining projection constants of univariate polynomial spaces.
J. Approx. Theory, 2018

2017
Positivity Certificates in Optimal Control.
Proceedings of the Geometric and Numerical Foundations of Movements, 2017

Exact Solutions to Super Resolution on Semi-Algebraic Domains in Higher Dimensions.
IEEE Trans. Inf. Theory, 2017

Bound-Constrained Polynomial Optimization Using Only Elementary Calculations.
Math. Oper. Res., 2017

A bounded degree SOS hierarchy for polynomial optimization.
EURO J. Comput. Optim., 2017

Representation of Chance-Constraints With Strong Asymptotic Guarantees.
IEEE Control. Syst. Lett., 2017

The empirical Christoffel function in Statistics and Machine Learning.
CoRR, 2017

Approximate Optimal Designs for Multivariate Polynomial Regression.
CoRR, 2017

Computing Gaussian & exponential measures of semi-algebraic sets.
Adv. Appl. Math., 2017

On inverse optimal control via polynomial optimization.
Proceedings of the 56th IEEE Annual Conference on Decision and Control, 2017

2016
Convex Optimization and Parsimony of L<sub>p</sub>-balls Representation.
SIAM J. Optim., 2016

Convergent Semidefinite Programming Relaxations for Global Bilevel Polynomial Optimization Problems.
SIAM J. Optim., 2016

Linear Conic Optimization for Inverse Optimal Control.
SIAM J. Control. Optim., 2016

Semidefinite Approximations of the Polynomial Abscissa.
SIAM J. Control. Optim., 2016

A MAX-CUT formulation of 0/1 programs.
Oper. Res. Lett., 2016

Minimizing the sum of many rational functions.
Math. Program. Comput., 2016

Lebesgue decomposition in action via semidefinite relaxations.
Adv. Comput. Math., 2016

Sorting out typicality with the inverse moment matrix SOS polynomial.
Proceedings of the Advances in Neural Information Processing Systems 29: Annual Conference on Neural Information Processing Systems 2016, 2016

2015
Semidefinite Approximations of Projections and Polynomial Images of SemiAlgebraic Sets.
SIAM J. Optim., 2015

Volume of slices and sections of the simplex in closed form.
Optim. Lett., 2015

The 2013 Newton Institute Programme on polynomial optimization.
Math. Program., 2015

A generalization of Löwner-John's ellipsoid theorem.
Math. Program., 2015

Tractable approximations of sets defined with quantifiers.
Math. Program., 2015

Rank-Constrained Fundamental Matrix Estimation by Polynomial Global Optimization Versus the Eight-Point Algorithm.
J. Math. Imaging Vis., 2015

Level Sets and NonGaussian Integrals of Positively Homogeneous Functions.
IGTR, 2015

Algebraic-exponential Data Recovery from Moments.
Discret. Comput. Geom., 2015

Optimization as motion selection principle in robot action.
Commun. ACM, 2015

2014
Measures and LMIs for Impulsive Nonlinear Optimal Control.
IEEE Trans. Autom. Control., 2014

A Unified Framework for Solving a General Class of Conditional and Robust Set-Membership Estimation Problems.
IEEE Trans. Autom. Control., 2014

Approximating Pareto curves using semidefinite relaxations.
Oper. Res. Lett., 2014

Erratum to: On convex optimization without convex representation.
Optim. Lett., 2014

New approximations for the cone of copositive matrices and its dual.
Math. Program., 2014

On Polynomial Optimization Over Non-compact Semi-algebraic Sets.
J. Optim. Theory Appl., 2014

Lower bounds on the global minimum of a polynomial.
Comput. Optim. Appl., 2014

Optimality in robot motion: optimal versus optimized motion.
Commun. ACM, 2014

Inverse optimal control with polynomial optimization.
Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

2013
A Lagrangian Relaxation View of Linear and Semidefinite Hierarchies.
SIAM J. Optim., 2013

Exploiting Symmetries in SDP-Relaxations for Polynomial Optimization.
Math. Oper. Res., 2013

Inverse Polynomial Optimization.
Math. Oper. Res., 2013

Moment matrices, border bases and real radical computation.
J. Symb. Comput., 2013

Convex underestimators of polynomials.
J. Glob. Optim., 2013

Recovering an Homogeneous Polynomial from Moments of Its Level Set.
Discret. Comput. Geom., 2013

Moment LMI approach to LTV impulsive control.
Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

2012
Inner Approximations for Polynomial Matrix Inequalities and Robust Stability Regions.
IEEE Trans. Autom. Control., 2012

Semidefinite programming for min-max problems and games.
Math. Program., 2012

A "joint + marginal" heuristic for 0/1 programs.
J. Glob. Optim., 2012

The existence of Gaussian cubature formulas.
J. Approx. Theory, 2012

The Inverse Moment Problem for Convex Polytopes.
Discret. Comput. Geom., 2012

Measures and LMI for impulsive optimal control with applications to space rendezvous problems.
Proceedings of the American Control Conference, 2012

Modern Optimization Modelling Techniques.
Advanced courses in mathematics : CRM Barcelona, Birkhäuser, ISBN: 978-3-0348-0290-1, 2012

2011
A New Look at Nonnegativity on Closed Sets and Polynomial Optimization.
SIAM J. Optim., 2011

On convex optimization without convex representation.
Optim. Lett., 2011

Min-max and robust polynomial optimization.
J. Glob. Optim., 2011

2010
Positivity and Optimization for Semi-Algebraic Functions.
SIAM J. Optim., 2010

A "Joint+Marginal" Approach to Parametric Polynomial Optimization.
SIAM J. Optim., 2010

On representations of the feasible set in convex optimization.
Optim. Lett., 2010

Certificates of convexity for basic semi-algebraic sets.
Appl. Math. Lett., 2010

A "joint+marginal" algorithm for polynomial optimization.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2009
A prolongation-projection algorithm for computing the finite real variety of an ideal.
Theor. Comput. Sci., 2009

Approximate Volume and Integration for Basic Semialgebraic Sets.
SIAM Rev., 2009

Convexity in SemiAlgebraic Geometry and Polynomial Optimization.
SIAM J. Optim., 2009

GloptiPoly 3: moments, optimization and semidefinite programming.
Optim. Methods Softw., 2009

Convex sets with semidefinite representation.
Math. Program., 2009

The K-moment problem with densities.
Math. Program., 2009

Moments and sums of squares for polynomial optimization and related problems.
J. Glob. Optim., 2009

Certificates and relaxations for integer programming and the semi-group membership problem
CoRR, 2009

POCP: A package for polynomial optimal control problems.
Proceedings of the 10th European Control Conference, 2009

Discrete-time stochastic optimal control via occupation measures and moment relaxations.
Proceedings of the 48th IEEE Conference on Decision and Control, 2009

2008
Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations.
SIAM J. Control. Optim., 2008

Approximating integrals of multivariate exponentials: A moment approach.
Oper. Res. Lett., 2008

A semidefinite programming approach to the generalized problem of moments.
Math. Program., 2008

Semidefinite Characterization and Computation of Zero-Dimensional Real Radical Ideals.
Found. Comput. Math., 2008

Semidefinite programming for N-Player Games
CoRR, 2008

Computing the real variety of an ideal: a real algebraic and symbolic-numeric algorithm.
Proceedings of the 2008 ACM Symposium on Applied Computing (SAC), 2008

Nonlinear optimal control synthesis via occupation measures.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2007
Simple Explicit Formula for Counting Lattice Points of Polyhedra.
Proceedings of the Integer Programming and Combinatorial Optimization, 2007

Semidefinite programming for gradient and Hessian computation in maximum entropy estimation.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007

2006
Convergent relaxations of polynomial matrix inequalities and static output feedback.
IEEE Trans. Autom. Control., 2006

A Sum of Squares Approximation of Nonnegative Polynomials.
SIAM J. Optim., 2006

Convergent SDP-Relaxations in Polynomial Optimization with Sparsity.
SIAM J. Optim., 2006

LMIs for constrained polynomial interpolation with application in trajectory planning.
Syst. Control. Lett., 2006

Robust global optimization with polynomials.
Math. Program., 2006

2005
Polynomial Programming: LP-Relaxations Also Converge.
SIAM J. Optim., 2005

Sum of Squares Approximation of Polynomials, Nonnegative on a Real Algebraic Set.
SIAM J. Optim., 2005

An Alternative Algorithm for Counting Lattice Points in a Convex Polytope.
Math. Oper. Res., 2005

Hierarchical scheduling for decision support.
J. Intell. Manuf., 2005

Erratum to "Generating functions and duality for integer programs": [Discrete Optimization 1 (2) (2004) 167-187].
Discret. Optim., 2005

Nonlinear optimal control: approximations via moments and LMI-relaxations.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

SOS approximation of polynomials nonnegative on an algebraic set.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2004
Characterizing polynomials with roots in a semialgebraic set.
IEEE Trans. Autom. Control., 2004

Integer programming, Barvinok's counting algorithm and Gomory relaxations.
Oper. Res. Lett., 2004

Generating functions and duality for integer programs.
Discret. Optim., 2004

A discrete Farkas lemma.
Discret. Optim., 2004

The Integer Hull of a Convex Rational Polytope.
Discret. Comput. Geom., 2004

On parameter-dependent Lyapunov functions for robust stability of linear systems.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

2003
GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi.
ACM Trans. Math. Softw., 2003

On Counting Integral Points in a Convex Rational Polytope.
Math. Oper. Res., 2003

Characterizing polynomials with roots in a semi-algebraic set.
Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

2002
Analytic perturbation of Sylvester matrix equations.
IEEE Trans. Autom. Control., 2002

An Explicit Equivalent Positive Semidefinite Program for Nonlinear 0-1 Programs.
SIAM J. Optim., 2002

Solving the knapsack problem via Z-transform.
Oper. Res. Lett., 2002

Semidefinite Programming vs. LP Relaxations for Polynomial Programming.
Math. Oper. Res., 2002

Solving Global Optimization Problems over Polynomials with GloptiPoly 2.1.
Proceedings of the Global Optimization and Constraint Satisfaction, 2002

2001
Pythagoras' Theorem for Areas.
Am. Math. Mon., 2001

The Multi-Dimensional Version of ∫<sup>b</sup> <sub>a</sub> x<sup>p</sup> dx.
Am. Math. Mon., 2001

A Quick Proof for the Volume of n-Balls.
Am. Math. Mon., 2001

Global Optimization with Polynomials and the Problem of Moments.
SIAM J. Optim., 2001

A Laplace transform algorithm for the volume of a convex polytope.
J. ACM, 2001

An Explicit Exact SDP Relaxation for Nonlinear 0-1 Programs.
Proceedings of the Integer Programming and Combinatorial Optimization, 2001

2000
Zero-Sum Stochastic Games in Borel Spaces: Average Payoff Criteria.
SIAM J. Control. Optim., 2000

Why the logarithmic barrier function in convex and linear programming?
Oper. Res. Lett., 2000

Convergent LMI relaxations for nonconvex quadratic programs.
Proceedings of the 39th IEEE Conference on Decision and Control, 2000

Analytic perturbation of Sylvester and Lyapunov matrix equations.
Proceedings of the 39th IEEE Conference on Decision and Control, 2000

1999
Sample-path average optimality for Markov control processes.
IEEE Trans. Autom. Control., 1999

1998
Approximation Schemes for Infinite Linear Programs.
SIAM J. Optim., 1998

Multi-resource shop scheduling with resource flexibility.
Eur. J. Oper. Res., 1998

1997
Tight bounds for the trace of a matrix product.
IEEE Trans. Autom. Control., 1997

Lot Streaming in Job-Shop Scheduling.
Oper. Res., 1997

1995
A trace inequality for matrix product.
IEEE Trans. Autom. Control., 1995

A new Farkas lemma for positive semidefinite matrices.
IEEE Trans. Autom. Control., 1995

1994
Linear programming formulation of MDPs in countable state space: The multichain case.
Math. Methods Oper. Res., 1994

1993
Reachable, controllable sets and stabilizing control of constrained linear systems.
Autom., 1993

1992
Generic Scheduling Polyhedra and a New Mixed-Integer Formulation for Single-Machine Scheduling.
Proceedings of the 2nd Integer Programming and Combinatorial Optimization Conference, 1992

1985
Technical Note - The Stochastic Discrete Dynamic Lot Size Problem: An Open-Loop Solution.
Oper. Res., 1985

1981
An economic interpretation of exact penalty functions using sensitivity analysis.
Oper. Res. Lett., 1981


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