
Bernard Mourrain
166
Documents
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Publications
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Computing real radicals by moment optimizationISSAC 2021 - 46th International Symposium on Symbolic and Algebraic Computation, Jul 2021, Saint-Pétersbourg, Russia. ⟨10.1145/3452143.3465541⟩
Communication dans un congrès
hal-03145501
v2
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Polynomial optimization based schemes for solving AC Optimal Power Flow problemsEURO 2021, Jul 2021, Athens, Greece
Communication dans un congrès
hal-04050425
v1
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Punctual Hilbert Schemes and Certified Approximate SingularitiesISSAC 2020 - International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata, Greece. ⟨10.1145/3373207.3404024⟩
Communication dans un congrès
hal-02478768
v2
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Axl, a geometric modeler for semi-algebraic shapesICMS 2018 - 6th International Conference on Mathematical Software, Jul 2018, Notre Dame, United States. pp.128-136, ⟨10.1007/978-3-319-96418-8_16⟩
Communication dans un congrès
hal-01848546
v1
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Fast algorithm for border bases of Artinian Gorenstein algebrasISSAC'17 -- International Symposium on Symbolic and Algebraic Computation, Jul 2017, Kaiserslautern, Germany. pp.333--340, ⟨10.1145/3087604.3087632⟩
Communication dans un congrès
hal-01515366
v1
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Efficient certication of numeric solutions to eigenproblemsMACIS 2017 - 7th International Conference on Mathematical Aspects of Computer and Information Sciences, Nov 2017, Vienna, Austria. pp.81--94, ⟨10.1007/978-3-319-72453-9_6⟩
Communication dans un congrès
hal-01579079
v1
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Geometric model for automated multi-objective optimization of foilsMarine 2017, May 2017, Nantes, France. pp.473-484
Communication dans un congrès
hal-01524287
v1
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Border Basis for Polynomial System Solving and Optimization ICMS 2016 - 5th International Conference on Mathematical Software, Jul 2016, Berlin, Germany. pp.212-220, ⟨10.1007/978-3-319-42432-3_27⟩
Communication dans un congrès
hal-01356869
v1
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Parametric shape modeler for hulls and appendagesCOMPIT'16, May 2016, Lecce, Italy. pp.255-263
Communication dans un congrès
hal-01373867
v1
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Certifying isolated singular points and their multiplicity structureISSAC'15, Jul 2015, Bath, United Kingdom. pp.213-220, ⟨10.1145/2755996.2756645⟩
Communication dans un congrès
hal-01107541
v2
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Toric Border BasisISSAC'14 - International Symposium on Symbolic and Algebraic Computation, Jul 2014, Kobe, Japan. pp.343-350, ⟨10.1145/2608628.2608652⟩
Communication dans un congrès
hal-00994683
v1
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The Geometry of Sound-Source Localization using Non-Coplanar microphone ArraysWASPAA 2013 - IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, Oct 2013, New Paltz, NY, United States. pp.1-4, ⟨10.1109/WASPAA.2013.6701896⟩
Communication dans un congrès
hal-00848876
v1
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Bulbous Bow Shape Optimization5th International Conference on Computational Methods in Marine Engineering, May 2013, Hamburg, Germany
Communication dans un congrès
hal-00873272
v1
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Border basis representation of a general quotient algebraInternational Conference on Symbolic and Algebraic Computation (ISSAC), Jul 2012, Grenoble, France. pp.265-272, ⟨10.1145/2442829.2442868⟩
Communication dans un congrès
hal-00709962
v1
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Multihomogeneous Polynomial Decomposition using Moment Matrices36th international symposium on Symbolic and algebraic computation (ISSAC 11), Jun 2011, San Jose, United States. pp.35-42, ⟨10.1145/1993886.1993898⟩
Communication dans un congrès
inria-00638837
v1
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Deflation and Certified Isolation of Singular Zeros of Polynomial SystemsInternational Symposium on Symbolic and Algebraic Computation (ISSAC), Jun 2011, San Jose, CA, United States. pp.249-256, ⟨10.1145/1993886.1993925⟩
Communication dans un congrès
inria-00556021
v1
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An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curves Singularities11th International Conference on Computational Science and Its Applications (ICCSA), Jun 2011, Santander, Spain. pp.121-131, ⟨10.1007/978-3-642-21931-3_10⟩
Communication dans un congrès
hal-00646566
v1
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Optimal analysis-aware parameterization of computational domain in isogeometric analysisGMP, Jun 2010, Castro Urdiales, Spain. pp.236-254
Communication dans un congrès
inria-00440130
v3
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A Subdivision Approach to Planar Semi-algebraic Sets6th International Conference, GMP, Jun 2010, Castro Urdiales, Spain. pp.104-123, ⟨10.1007/978-3-642-13411-1_8⟩
Communication dans un congrès
inria-00463491
v2
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The DMM bound: multivariate (aggregate) separation boundsProceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, Jul 2010, Munich, Germany. pp.243-250, ⟨10.1145/1837934.1837981⟩
Communication dans un congrès
inria-00393833
v4
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A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve SingularityInternational Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), Sep 2010, Timisoara, Romania. pp.21-28
Communication dans un congrès
inria-00542193
v1
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Curve/surface intersection problem by means of matrix representationsSNC, Aug 2009, Kyoto, Japan. pp.71-78, ⟨10.1145/1577190.1577205⟩
Communication dans un congrès
inria-00418403
v1
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Continued Fraction Expansion of Real Roots of Polynomial SystemsSNC, conference on Symbolic-Numeric Computation, Aug 2009, Kyoto, Japan. pp.85-94, ⟨10.1145/1577190.1577207⟩
Communication dans un congrès
inria-00387399
v2
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Computing Nearest Gcd with CertificationInternational Workshop Symbolic-Numeric Computation (SNC), Aug 2009, Kyoto, Japan. pp.29-34
Communication dans un congrès
inria-00437559
v1
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Symmetric tensor decomposition17th European Signal Processing Conference 2009., Aug 2009, Glasgow, United Kingdom. pp.525-529
Communication dans un congrès
hal-00435908
v1
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Experimental evaluation and cross-benchmarking of univariate real solversInternational Workshop SNC, ACM, Aug 2009, Kyoto, Japan. pp.85-94, ⟨10.1145/1577190.1577202⟩
Communication dans un congrès
inria-00340887
v2
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Efficient and robust reconstruction of botanical branching structure from laser scanned pointsCAD/Graphics 2009, Aug 2009, Yellow Mountain City, China. pp.572-575
Communication dans un congrès
inria-00436480
v1
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Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with syzygies of polynomials.international seminar matrix methods and operator equations (MM&OE), Jul 2007, Moscou, Russia. pp.296-312
Communication dans un congrès
hal-00366292
v1
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Real Algebraic Numbers: Complexity Analysis and ExperimentationsReliable Implementations of Real Number Algorithms: Theory and Practice, 2008, Dagsthul, Germany. pp.57-82
Communication dans un congrès
inria-00071370
v1
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A polynomial based approach to extract the maxima of an antipodally symmetric spherical function and its application to extract fiber directions from the Orientation Distribution Function in Diffusion MRI11th International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI), Sep 2008, New York, United States. p. 237-248
Communication dans un congrès
hal-00340600
v1
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Moment matrices, trace matrices and the radical of idealsISSAC, Jul 2008, Linz, Austria. pp.125-132
Communication dans un congrès
inria-00343126
v1
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On the Computation of the Topology of a Non-Reduced Implicit Space CurveISSAC, Jul 2008, Linz, Austria. pp.47-54, ⟨10.1145/1390768.1390778⟩
Communication dans un congrès
hal-00218271
v1
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Visualisation of implicit algebraic curvesPacific Conference on Computer Graphics and Applications 2007, Ron Goldman, Oct 2007, Lahaina, Maui, Hawaii, United States. pp.303-312
Communication dans un congrès
inria-00175062
v1
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A subdivision arrangement algorithm for semi-algebraic curves: an overview15th Pacific Conference on Computer Graphics and Applications, Ron Goldman, Oct 2007, Lahaina, Maui, Hawaii, United States. pp.449-452, ⟨10.1109/ISBN0-7695-3009-5⟩
Communication dans un congrès
inria-00189560
v1
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Resultant-based methods for plane curves intersection problemsComputer Algebra in Scientific Computing (CASC), Sep 2005, Kalamata, Greece, pp.75-92
Communication dans un congrès
inria-00100288
v1
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The Offset to an Algebraic Curve and an Application to ConicsInternational Conference on Computational Science and its Applications, May 2005, Singapore, Singapore. pp.683-696
Communication dans un congrès
inria-00350878
v1
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Generalized normal forms and polynomial system solvingISSAC 2005 - International Symposium on Symbolic and Algebraic Computation , Jul 2005, Beijing, China. pp.253-260, ⟨10.1145/1073884.1073920⟩
Communication dans un congrès
inria-00070537
v1
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An environment for Symbolic and Numeric ComputationInternational Congress of Mathematical Software - ICMS'2002, 2002, Beijing, China. pp.239-249
Communication dans un congrès
inria-00100984
v1
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Algebraic methods and arithmetic filtering for exact predicates on circle arcsProceedings of the 16th Annual Symposium on Computational Geometry, 2000, Hong Kong, China. pp.139-147, ⟨10.1145/336154.336194⟩
Communication dans un congrès
hal-01179417
v1
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Polynomial Optimization, Moments, and ApplicationsSpringer. Springer, 206, pp.258, 2023, SOIA. Springer Optimization and Its Applications, 978-3-031-38658-9
Ouvrages
hal-04087030
v1
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Computational Algebraic Geometry and its ApplicationsLaurent Busé, Mohamed Elkadi, Bernard Mourrain. Elsevier, 392, pp.178, 2008, Theoretical Computer Sciences
Ouvrages
inria-00344404
v1
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Special Issue on Symbolic and Algebraic ComputationC. D'andrea & B. Mourrain. Elsevier, 44, pp.135, 2008, 7, ⟨10.1016/j.jsc.2008.07.005⟩
Ouvrages
inria-00558470
v1
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Introduction à la résolution des systèmes polynomiauxSpringer, 59, pp.307, 2007, Mathématiques et Applications, 978-3-540-71646-4
Ouvrages
inria-00170536
v1
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Special Issue on Algebraic and Numerical AlgorithmsEmiris, I. and Mourrain, B. and Pan, Y. V. Elsevier, 315, pp.310, 2004
Ouvrages
inria-00170535
v1
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Isolated singularities, inverse systems and the punctual Hilbert schemeAnthony Iarrobino; Pedro Macias Marques; Maria Evelina Rossi; Jean Vallès. Deformation of Artinian Algebras and Jordan Type, 805, American Mathematical Society, pp.205-224, 2024, Contemporary Mathematics, ⟨10.1090/conm/805/16135⟩
Chapitre d'ouvrage
hal-04059950
v1
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Polynomial optimization in geometric modelingMichal Kočvara; Bernard Mourrain; Cordian Riener. Polynomial Optimization, Moments, and Applications, Springer, pp.163-186, In press
Chapitre d'ouvrage
hal-04081849
v1
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Efficient Certification of Numeric Solutions to EigenproblemsMathematical Aspects of Computer and Information Sciences, pp.81-94, 2017, ⟨10.1007/978-3-319-72453-9_6⟩
Chapitre d'ouvrage
hal-02350517
v1
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Singular Zeros of Polynomial SystemsSAGA – Advances in ShApes, Geometry, and Algebra. Geometry and Computing, vol 10., pp.77-103, 2014, ⟨10.1007/978-3-319-08635-4_5⟩
Chapitre d'ouvrage
hal-02958889
v1
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Shape InterrogationLeila De Floriani, Michela Spagnuolo. Shape Analysis and Structuring, Springer, pp.1-51, 2008, Mathematics and Visualization, 978-3-540-33265-7. ⟨10.1007/978-3-540-33265-7_1⟩
Chapitre d'ouvrage
istex
inria-00193551
v1
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Pythagore's Dilemma, Symbolic-Numeric Computation, and the Border Basis MethodDongming Wang and Lihong Zhi. Symbolic-Numeric Computation, Birkhauser, pp.223--243, 2007, Trends in Mathematics
Chapitre d'ouvrage
inria-00137424
v1
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Meshing of SurfacesEffective Computational Geometry for Curves and Surfaces, Springer, pp.181-230, 2007, Mathematics and Visualization
Chapitre d'ouvrage
hal-00488274
v1
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Regularity criteria for the topology of algebraic curves and surfacesRalph Martin and Malcom Sabin and Joab Winkler. Mathematics of Surfaces XII, 4647, Springer, pp.1-28, 2007, LNCS, 0302-9743
Chapitre d'ouvrage
inria-00170886
v1
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Biologie Moléculaire Structurale et GéométrieYves Gautier. La Science au Présent, Encyclopaedia Universalis, pp.128-131, 2007, 2-85229-514-8
Chapitre d'ouvrage
inria-00175688
v1
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SYNAPS: A library for dedicated applications in symbolic numeric computing,M.E. Stillman and N. Takayama and J. Verschelde. Software for algebraic geometry, 148, Springer, pp.81-110, 2007, IMA Volumes in Mathematics and its Applications
Chapitre d'ouvrage
inria-00178498
v1
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Subdivision Methods for the Topology of 2d and 3d Implicit CurvesBert Juetller and Ragni Piene. Geometric Modeling and Algebraic Geometry, Springer, pp.199-214, 2007, 978-3-540-72184-0
Chapitre d'ouvrage
inria-00130216
v1
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Uniqueness of Minimal Euclidean Reconstruction from 4 Points2001
Autre publication scientifique
inria-00548269
v1
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The Effective Generalized Moment Problem2025
Pré-publication, Document de travail
(preprint/prepublication)
hal-04885482
v2
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An Effective Positivstellensatz over the Rational Numbers for Finite Semialgebraic Sets2024
Pré-publication, Document de travail
hal-04723493
v1
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An algebraic framework for geometrically continuous splines2023
Pré-publication, Document de travail
hal-04100465
v1
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Spline Spaces over Quadrangle Meshes with Complex Topologies2014
Pré-publication, Document de travail
hal-00952455
v1
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Exact relaxation for polynomial optimization on semi-algebraic sets2014
Pré-publication, Document de travail
hal-00846977
v4
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Unconstraint global polynomial optimization via Gradient Ideal2013
Pré-publication, Document de travail
hal-00779666
v3
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The Hilbert scheme of points and its link with border basis2010
Pré-publication, Document de travail
inria-00433127
v2
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From moments to sparse representations, an algebraic, geometric and algorithmic viewpointÉcole thématique. France. 2019
Cours
hal-04193946
v1
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