Appeared

2020

  • Marx S., Weisser T., Henrion D., Lasserre J.B. (2020) A moment approach for entropy solutions to nonlinear hyperbolic PDEs, Math. Control Related Fields 10 (1), pp. 113--140.

2019

  • de Castro Y., Gamboa F., Henrion D., Hess R., Lasserre J.B. (2019) Approximate Optimal Designs for Multivariate Polynomial Regression,    The Annals of Statistics  47, pp. 127--155
  • Lasserre J.B. (2019) Volume of sublevel sets of homogeneous polynomials,   SIAM J. Appl. Algebra Geometry 3, pp. 372--389.
  • Lasserre J.B., Putinar M. (2019) Positive Functionals and Hessenberg Matrices, Proc. Amer. Math. Soc. 147, pp. 1097--1108.
  • Lasserre J.B., Pauwels E. (2019) The empirical Christoffel function with applications in data analysis,  Advances Comp. Math. 45, pp. 1439--1468
  • Josz C., Lasserre J.B., Mourrain B. (2019) Sparse polynomial interpolation: sparse recovery, super resolution, or Prony?  Advances Comp. Math. 45, pp. 1401--1437
  • Lasserre J.B. (2019) The Moment-SOS Hierarchy, In Proceedings of the International Congress of Mathematicians (ICM 2018), vol 4, B. Sirakov, P. Ney de Souza and M. Viana (Eds.), World Scientific, 2019, pp. 3773--3794
  • Hébrard F., Lasserre J.B., Joldes Mioara (2019) On moment problem with holonomic functions, In Proceedings ISSAC'2019 of the 2019 International Symposium on Symbolic and Algebraic Computation, Beijing, August 2019, ACM, pp. 66--73.
  • Lasserre J.B., Magron V. (2019)  In SDP relaxations, inaccurate solvers do robust optimization, SIAM J. Optim. 29, pp. 2128--2145
  • Foucart S., Lasserre J.B. (2019) Computation of Chebyshev polynomials on unions of intervals, Comput. Methods & Function Theory 19, pp. 625--641
  • Lasserre J.B., Emin Y (2019). Semidefinite relaxations for Lebesgue and Gaussian measures of unions of basic semi-algebraic sets, Math. Oper. Res. 44, pp. 1477--1493

2018

  • Weisser T., Lasserre J.B., Kim Toh (2018) Sparse-BSOS : A bounded degree SOS hierarchy for large scale polynomial optimization with sparsity,  Math. Program. Computation 10,  pp. 1--32.
  • Lasserre J.B., Magron V. (2018) Optimal data fitting: A moment approach,   SIAM J. Optim. 28, pp. 3127--3144
  • Foucart S., Lasserre J.B. (2018) Determining projection constants of univariuate polynomial spaces,   J. Approx. Theory 235, pp. 74--91

2017

  • De Klerk E., Lasserre J.B., M. Laurent, Sun Zhao (2017) Bound-Constrained Polynomial Optimization Using Only Elementary Calculations, Math. Operations Research 42,  pp. 834--853.
  • De Castro Y.,  Gamboa F.,  Henrion D.,  Lasserre J.B. (2017) Exact solutions to Super Resolution on semi-algebraic domains in higher dimensions, IEEE Trans. Info. Theory  63,  pp. 621--630.
  • Lasserre J.B. (2017) Computing Gaussian & exponential measures of semi-algebraic sets,  Advances Applied Mathematics 91,  pp. 137--163. 
  • Lasserre J.B. , Kim-Chuan Toh, Shouguang Yang (2017) A bounded  degree SOS hierarchy for polynomial optimization,  European J. Comput. Optim. 5,  pp. 87--117.
  • Chin E., Lasserre J.B. , Sukumar N. (2017) Modeling crack discontinuities without element partitioning in the extended finite element method,  Int. J. Num. Methods Eng. 110,  pp. 1201--1048.
  • Lasserre J.B.  (2017) Representation of chance-constraints with strong asymptotic properties,  IEEE Control Systems Letters 1,  pp. 50--55.

2016

  • Lasserre J.B. (2016) Lebesgue decomposition in action via semidefinite relaxationsAdv. Comput. Math. 42  pp. 1129--1148.
  • Pauwels E., Henrion D., Lasserre J.B. (2016) Linear Conic Optimization for Inverse Optimal Control,  SIAM J. Control & Optim. 54  pp. 1798--1825.
  • Lasserre J.B., Pauwels E. (2016) Sorting out typicality via the inverse moment matrix SOS polynomial, In Advances in Neural Information Processing Systems 29 (NIPS 2016, Barcelona), D.D. Lee and M. Sugiyama and U.V. Luxburg and I. Guyon and R. Garnett, Eds., Curran Associates, Inc. 2016, pp. 190—198.
  • Lasserre J.B. (2016) Convex optimization and parsimony of Lp balls representation,  SIAM J. Optim. 26  pp. 247--273.
  • Jeyakumar V, Lasserre J.B., G. Li, Tien Son Pham (2016) Convergent semidefinite relaxations for global bilevel polynomial optimization problems,  SIAM J. Optim. 26  pp. 753--780.
  • Hess R., Henrion D., Lasserre J.B., Tien Son Pham (2016) Semidefinite approximations of the polynomial abscissa,  SIAM J. Control & Optim. 54  pp. 1633--1656.
  • Bugarin F., Henrion D., Lasserre J.B. (2016) Minimizing the sum of many rational functions,  Math. Programming Comput. 8  pp. 83--111.
  • Serra R., Arzelier D., Joldes M., Lasserre J.B., Rondepierre A., Salvy B. (2016) Fast and Accurate Computation of Orbital Collision Probability for Short-Term Encounters,  J. Guidance, Control & Dynamics 39  pp. 1--13.
  • Lasserre J.B. (2016) A MAX-CUT formulation of 0/1 programs,  Oper. Res. Letters 44  pp. 158--164.

2015

  • Magron V., Henrion D., Lasserre J.B. (2015) Semidefinite approximations of projections and polynomial images of semi-algebraic sets SIAM J. Optim. 25  pp. 2143--2164.
  • Chin E.B., Lasserre J.B., Sukumar N. (2015) Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra Comput. Mech. 56  pp. 967--981.
  • Lasserre J.B., Putinar M. (2015) Algebraic-exponential Data Recovery from Moments  Discrete & Comput. Geom. 54  pp. 993--1012.
  • Lasserre J.B. (2015) Volume of slices and sections of the simplex in closed form Optim. Letters 9, No 7,  pp. 1263----1269.
  • Bugarin F., Bartoli A., Henrion D., Lasserre J.B., Orteu J.J., Sentenac T. (2015) Rank-constrained fundamental matrix estimation by polynomial global optimization versus the eight-point algorithm  J. Math. Imaging & Vision 53, No1,  pp. 42--60.
  • Laumond J.-P., Mansard N., Lasserre J.B. (2015) Optimization as motion selection principle in robot action Communications of the ACM 58, No 5  pp. 64--74.
  • Lasserre J.B. (2015) A generalization of Löwner-John's ellipsoid theorem Math. Program. 152, No 1  pp. 559--591.   
  • Lasserre J.B. (2015) Tractable approximations of sets defined with quantifiers Math. Programming 151  pp. 507--527.
  • Lasserre J.B. (2015) Level sets and non Gaussian integrals of positively homogeneous functions  Int. Game Theory Review 17 No 1,   
  • Lasserre J.B. (2015) Moments and Legendre-Fourier Series for Measures supported on Curves SIGMA 11 No 077,  10 pages.

2014

  • Claeys M., Arzelier D., Henrion D., Lasserre J.B. (2014) Measures and LMIs for impulsive nonlinear optimal control  IEEE Trans. Aut. Control 59,  pp. 1374--1379.
  • Jeyakumar V., Lasserre J.B., Li G. (2014) On polynomial optimization over non-compact semi-algebraic sets  J. Optim. Theor. Appl. 163,  pp. 707--718.
  • Henrion D., Lasserre J.B., Mevissen M. (2014) Mean squared error minimization for inverse moment problems Appl. Math. Optim. 70,  pp. 83--110.
  • Cerone V., Lasserre J.B., Piga D., Regruto, D. (2014) A unified framework for solving a general class of conditional and robust set-membership estimation problems IEEE Trans Auto. Control 59,  pp. 2897--2909.
  • Magron V., Henrion D., Lasserre J.B. (2014) Approximating Pareto curves using semidefinite relaxations Operations Res. Letters 42,  pp. 432--4437.
  • Lasserre J.B. (2014) New approximations for the cone of copositive matrices and its dual Math. Program. 144,  pp. 265--276.
  • Laumond J.-P., N. Mansard, J.B. Lasserre (2014) Optimality in Robot Morion: Optimal Versus Optimized Motion Communications of the ACM 57,  pp. 82--89.
  • Ghasemi, M., Lasserre J.B., Marshall M. (2014) Lower bounds on the global minimum of a polynomial  Comput. Optim. Appl. 57,  pp. 387--402.

2013

  • Lasserre J.B. (2013)
 The K-moment problem for continuous functionals  Trans. Amer. Math. Soc. 365,  pp. 2489--2504.
  • Lasserre J.B. (2013)Borel measures with a density on a compact semi-algebraic set  Archiv. der Mathematik 101,  pp. 361--371.
  • Lasserre J.B. (2013)
 Inverse polynomial optimization  Math. Oper. Res. 38,  pp. 418--436
  • Lasserre J.B. (2013)
 Recovering an homogeneous polynomials from moments of its levels set Discrete & Comput. Geom. 50,  pp. 673--678
  • Lasserre J.B. (2013)A Lagrangian relaxation view of linear and semidefinite hierarchies  SIAM J. Optim. 23,  pp. 1742--1756
  • Riener C., Theobald T., Jansson A.L., Lasserre J.B. (2013)
  Exploiting symmetries in SDP-relaxations for polynomial optimization Math. Oper. Res. 38,  pp. 122--141
  • Avrachenkov K. and Lasserre J.B. (2013)
 Analytic perturbation of generalized inverses  Linear Algebra & Applications 438,  pp. 1793--1813
  • Lasserre J.B. and Tung Phan Thanh (2013)
 Convex underestimators of polynomials  J. Global Optim. 56,  pp. 1--25.
  • Lasserre J.B., Laurent M., Mourrain B., Rostalski P. and P. Trebuchet (2013)
 Moment matrices, border bases and real radical computation  J. Symbolic Computation 51,  pp. 63--85.

2012

  • Blekherman G. and Lasserre J.B. (2012) The truncated K-moment problem for closure of open sets  J. Functional Anal. 263,  pp. 3604--3616
  • Laraki R. and J.B. Lasserre (2012) Semidefinite programming for min-max problems and games  Math. Program. S_r. A 131,  pp. 305--332
  • Gravin N., Lasserre J.B., Pasechnik D. and Robins S. (2012) The Inverse Moment Problem for Convex Polytopes  Discrete & Comp. Geom. 48,  pp. 596--621
  • Henrion D. and J.B. Lasserre (2012) Inner approximations for polynomial matrix inequalities and robust stability regions  IEEE Transactions Aut. Control 57,  pp. 1456--1467.
  • Lasserre J.B. (2012) The existence of Gaussian cubature forrmulas J. Approximation Theory 164,  pp. 572--585.
  • Lasserre J.B. (2012) An algorithm for semi-infinite polynomial optimization TOP 20,  pp. 119--129
  • Lasserre J.B. and Tung Phan Thanh (2012) A ``joint+marginal" heuristic for 0/1 programs  J. Global Optim. 54,  pp. 729--744

2011

  •  Lasserre J.B. (2011) A new look at nonnegativity on closed sets and polynomial optimization SIAM J. Optim. 21,  pp. 864--885.
  • Lasserre J.B. (2011) On convex optimization without convex representation Optimization Letters 5,  pp. 549--556..
  • Lasserre J.B. (2011) Bounding the support a measure from its marginal moments  Proc. Amer. Math. Soc. 139,  pp. 3375--3382.
  • Lasserre J.B. (2011) Min-max and robust polynomial optimization J. Global Optim. 51,  pp. 1--10.

2010

  • Lasserre J.B. and E.S. Zeron (2010) Lp-norms, log-barriers and Cramer transform in optimization  Set-Valued and Var. Anal. 18,  pp. 513--530.
  • Lasserre J.B. and M. Putinar (2010) Positivity and optimization for semi-algebraic functions Siam J. Optim. 20,  pp. 3364--3383.
  • Lasserre J.B. (2010) On representations of the feasible set in convex optimization Optim. Letters 4,  pp. 1--7.
  • Lasserre J.B. (2010) Certificates of convexity for basic semi-algebraic sets Applied Math. Letters 23,  pp. 912--916.
  • Lasserre J.B. (2010)  A "joint+marginal" approach to parametric polynomial optimization  SIAM J. Optim. 20,  pp. 1995--2022.

2009

  •  Lasserre J.B. (2009) Convex sets with semidefinite representation Math. Prog. 120,   pp. 457--477. 
  • Henrion D., Lasserre J.B., Savorgnan C. (2009) Approximate volume and integration for basic semialgebraic sets SIAM Review 51,  pp. 722--743.
  • Henrion D., Lasserre J.B., Lofberg J. (2009) Gloptipoly 3: moments, optimization and semidefinite programming  Optim. Methods and Softwares 24,   pp. 761--779.
  • Lasserre J.B. (2009) The K-moment problem with densities  Math. Prog. 116,  pp. 321--341. 
  • Lasserre J.B. (2009) Moments and sums of squares for polynomial optimization and related problems  J. Global Optim. 45,  pp. 39--61. 
  • Lasserre J.B. (2009) Convexity in semialgebraic geometry and polynomial optimization SIAM J. Optim. 19,  pp. 1995--2014. 
  • Lasserre J.B., Laurent M, Rostalski P. (2009) A prolongation-projection algorithm for computing the finite real variety of an ideal Theor. Comp. Sci. 410,  pp. 2685--2700.

2008

  • Laraki R., Lasserre J.B. (2008) Computing uniform convex approximations for convex envelopes and convex hulls  J. Convex Analysis 15,  pp. 635--654. 
  • Bertsimas D., Xuan Vinh Doan, Lasserre J.B. (2008) Approximating integrals of multivariate exponentials: A moment approach  Oper. Res. Letters 36,  pp. 205--210.
  • Lasserre J.B., M. Laurent, P. Rostalski (2008) Semidefinite characterization and computation of zero-dimensional real radical ideals  Found. Comput. Math. 8,  pp. 607--647.
  • Helton, J.W., Lasserre J.B., Putinar M. (2008) Measures with zeros in the inverse of their moment matrix Annals Prob. 36,  pp. 1453--1471.
  • Lasserre J.B (2008) Representation of nonnegative convex polynomials  Arch. der Mathematik 91,  pp. 126--130.
  • Lasserre J.B., Henrion D., Prieur C., Trelat E. (2008) Nonlinear optimal control via occupation measures and LMI-relaxations SIAM J. Contr. Optim. 47,  pp. 1649--1666.
  • Lasserre J.B. (2008) A Semidefinite programming approach to the generalized problem of moments Math. Prog. 112,  pp. 65--92. 

2007

  • Lasserre J.B., E.S. Zeron (2007) Simple explicit formula for counting lattice points of polyhedra Lecture Notes in Computer Science 4513, Springer Verlag  pp. 367--381.
  • Lasserre J.B. (2007) A sum of squares approximation of nonnegative polynomials SIAM Review 49,  pp. 651--669. (SIGEST section of SIAM Review) 
  • Lasserre J.B. (2007) A new hierarchy of SDP-relaxations for polynomial programming Pacific J. Optim. 3,  pp. 273--299.
  • Lasserre J.B. (2007) Sufficient conditions for a polynomial to be a sum of squares Arch. Math. 89,  pp. 390--398. 

2006

  •  Lasserre J.B. (2006) Convergent SDP-relaxations in polynomial optimization with sparsity SIAM J. Optim. 17,  pp. 822--843.
  • Lasserre J.B., Prieto-Rumeau T., Zervos M. (2006) Pricing a class of exotic options via moments and SDP relaxations  Mathematical Finance 16,  pp. 469--494. 
  • Lasserre J.B., Netzer T. (2006) SOS approximations of nonnegative polynomials via simple high degree perturbations  Math. Zeitschrift 256,  pp. 99--112.
  • Henrion D., Lasserre J.B. (2006) Convergent relaxations of polynomial matrix inequalities and static output feedback  IEEE Trans. Auto. Control 51,  pp. 192--202. 
  • Henrion D., Lasserre J.B. (2006) LMIs for constrained polynomial interpolation with application in trajectory planning  Systems Contr. Letters 55,  pp. 473--477.
  • Lasserre J.B. (2006) A moment approach to analyze zeros of triangular polynomials sets Trans. Amer. Math. Soc. 358,  pp. 1403--1420.
  • Lasserre J.B. (2006) Robust global optimization with polynomials Math. Programming Ser. B 107,  pp. 275--293.
  • Lasserre J.B. (2006) A sum of squares approximation of nonnegative polynomials  SIAM J. Optim. 16,  pp. 751--765.

2005

  •  Lasserre J.B. (2005) SOS approximations of polynomials nonnegative on a real algebraic set SIAM J. Optim. 16,  pp. 610--628.
  • Lasserre J.B. (2005) Integer programming duality and superadditive functions  Contemporary Mathematics 374,  pp. 139--150.
  • Lasserre J.B., Zeron E.S. (2005) An alternative algorithm for counting lattice points in a convex polytope Math. Oper. Res. 30,  pp. 597--614.
  • Fontan G., Merce C., Hennet J-C., and Lasserre J.B. (2005) Hierarchical scheduling for decision support  J. Intelligent Manufacturing 16,  pp. 235--244.

2004

  • Lasserre J.B. (2004) The integer hull of a convex rational polytope  Discr. Comp. Geom 32,  pp. 129--139. 
  • Lasserre J.B. (2004) Integer Programming Duality  in: Trends in Optimization. Proc. Symp. Appl. Math. 61,   pp. 67--83.
  • Lasserre J.B. (2004) Polynomial programming: LP-relaxations also converge  SIAM J. Optim. 15,   pp. 383--393. 
  • Lasserre J.B. and Prieto-Rumeau T. (2004) SDP vs. LP Relaxations for the Moment Approach in Some Performance Evaluation Problems Stoch. Models 20,   pp. 439--456. 
  • Lasserre J.B. (2004) Generating functions and duality for integer programs Discrete Optim. 1,   pp. 167--187.
  • Henrion D., and Lasserre J.B. (2004) Solving nonconvex optimization problems  IEEE Control Systems Magazine 24,   pp. 72--83. 
  • Lasserre J.B. (2004) Characterizing polynomials with roots in a semialgebraic set IEEE Trans. Aut. Contr. 49,  pp. 727--730.
  • Lasserre J.B. (2004) A discrete Farkas lemma  Discrete Optimization 1,  pp. 67-75.

2003

  • Lasserre J.B. and E.S. Zeron (2003) On counting integral points in a convex rational polytope Math. Oper. Res. 28,  pp. 853--870.
  • Henrion D. and J.B. Lasserre (2003) GloptiPoly : Global Optimization over Polynomials with Matlab and SeDuMi ACM Trans. Math. Soft. 29,  pp. 165--194.
  • Lasserre J.B. (2003) Integer programming, Barvinok's counting algorithm and Gomory relaxations  Oper.   Res. Letters .  32 ,  pp. 133--137.

2002

  • Lasserre J.B(2002) La valeur optimale des programmes entiers C.R.  Acad.  Sci.  Paris,  Ser. I  335 ,  pp. 863--866.
  • Lasserre J.B(2002) Polynomials with all zeros real and in a prescribed interval   J.  Algebraic Combinatorics 16 ,  pp. 231--237. 
  • Lasserre J.B. and E.S. Zeron (2002) Solving the knapsack problem via Z-transform Oper.  Res.  Letters  30,  pp. 394--400.
  • Lasserre J.B(2002) Semidefinite programming vs. LP relaxations for polynomial programming  Math.  Oper.  Res. 27, pp. 347--360. 
  • Lasserre J.B(2002) Bounds on measures satisfying moment conditions Annals Appl. Prob.  12 pp. 1114-1137. 
  • Lasserre J.B. (2002) An explicit equivalent positive semidefinite program for nonlinear 0-1 programs  SIAM J. Optim. 12, pp. 756--769. 
  • Lasserre J.B(2002) Polynomials nonnegative on a grid and discrete optimization Trans.  Amer.  Math.  Soc.  354,  pp. 631--649.
  • Lasserre J.Band J-B. Hiriart-Urruty (2002) Mathematical properties of  optimization problems defined by positively homogeneous functions J. Optim. Theor. Appl.  112,  pp. 31--52.
  • Dauzère-Péres S. and Lasserre J.B. (2002) On the importance of sequencing decisions in production planning and scheduling Int. Trans. Oper. Res.  9 ,  pp. 779--793.
  • Avrachenkov K.E. and J.B. Lasserre (2002)  Analytic perturbation of Sylvester matrix equations  IEEE  Trans.  Aut.  Contr. 47,  pp. 1116--1119.

2001

  • Lasserre J.B(2001) A quick proof for the volume of n-balls Amer.  Math.  Monthly 108, 768--769.
  • Lasserre J.Band E.S. Zeron(2001) Solving a class of multivariable integration problems via Laplace Lechniques Appl. Math. (Warsaw) 28, pp. 391--405.
  • Lasserre J.Band E.S. Zeron(2001) A Laplace transform algorithm for the volume of a convex polytope  Journal of the ACM 48, pp. 1126--1140. 
  • Hernandez-Lerma and J.B. Lasserre (2001) On the probabilistic multichain Poisson equation Appl.  Math.  (Warsaw) 28pp. 225--243.
  • Lasserre J.B.  and K.E. Avrachenkov (2001) The multi-dimensional version of $\int_a^b  x^p dx$.  Amer.  Math.  Monthly 108pp. 151--154.
  • Hernandez-Lerma and J.B. Lasserre (2001) Zero-sum  stochastic games  in Borel spaces: average payoff criteria SIAM J.  Contr.  Optim. 39pp. 1520--1539.
  • Quadrat J-P., Lasserre J.B. and  J.-B. Hiriart-Urruty (2001) Pythagoras' theorem for areas Amer.  Math.  Monthly 108pp. 549--551.
  • Lasserre J.B.  (2001) Duality and randomization in nonlinear programming   ANZIAM J.  42 (E), pp. E27--E68(formerly J. Aust. Math. Soc. Series B)
  • Hernandez-Lerma and J.B. Lasserre (2001) Further criteria for positive Harris recurrence of Markov chains Proc.  Amer.  Math.  Soc.  129pp. 1521--1524.
  • Lasserre J.B.  and C.E.M. Pearce (2001) On the existence of  quasistationary measure for a Markov chain  Annals of Probability 29, pp. 437--446.
  • Lasserre J.B.  (2001) Global optimization with polynomials and the problem of moments SIAM J. Optimization 11pp 796--817. 

2000

  • Lasserre J.B.  (2000)  Why the Logarithmic Barrier Function in convex and linear programming? Oper. Res. Letters. 27, pp. 149--152.
  • Filar J. and Lasserre J.B.  (2000)  A non-standard branch and bound method for the Hamiltonian cycle problem ANZIAM J. 42 (E), pp. C586--C607 (formerly J. Aust. Math. Soc., Series B)
  • Lasserre J.B.  (2000)  Optimisation globale et theorie des moments C. R.  Acad.  Sci.  Paris, 331, Serie 1, pp. 929--934.
  • Hernandez-Lerma O. and Lasserre J.B(2000) Fatou's and Lebesgue's convergence theorems for measures J.  Appl.  Math.  Stoch.  Anal 13, pp. 137--146.
  • Hernandez-Lerma O. and Lasserre J.B(2000)  On the classification of Markov chains via occupation measures Appl.  Math. (Warsaw) 27pp. 489--498.
  • Lasserre J.B(2000) Quasi-Feller Markov chains   J.  Appl.  Math.  Stoch.  Anal 13, pp. 15--24.