Bernard Mourrain
163
Documents
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-03145501v2
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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-04050425v1
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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-02478768v2
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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-01848546v1
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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
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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-01524287v1
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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-01579079v1
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Parametric shape modeler for hulls and appendagesCOMPIT'16, May 2016, Lecce, Italy. pp.255-263
Communication dans un congrès
hal-01373867v1
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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-01356869v1
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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-01107541v2
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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-00994683v1
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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, United States. pp.1-4, ⟨10.1109/WASPAA.2013.6701896⟩
Communication dans un congrès
hal-00848876v1
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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-00873272v1
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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-00709962v1
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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-00638837v1
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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-00556021v1
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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-00646566v1
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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-00440130v3
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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-00463491v2
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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-00393833v4
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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-00542193v1
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Symmetric tensor decomposition17th European Signal Processing Conference 2009., Aug 2009, Glasgow, United Kingdom. pp.525-529
Communication dans un congrès
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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-00340887v2
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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-00436480v1
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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-00418403v1
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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-00387399v2
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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-00437559v1
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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-00071370v1
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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-00340600v1
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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-00343126v1
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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-00218271v1
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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
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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-00189560v1
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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-00175062v1
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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-00070537v1
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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-00350878v1
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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-00100288v1
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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-00100984v1
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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-01179417v1
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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
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Computational Algebraic Geometry and its ApplicationsLaurent Busé, Mohamed Elkadi, Bernard Mourrain. Elsevier, 392, pp.178, 2008, Theoretical Computer Sciences
Ouvrages
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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-00558470v1
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Introduction à la résolution des systèmes polynomiauxSpringer, 59, pp.307, 2007, Mathématiques et Applications, 978-3-540-71646-4
Ouvrages
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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
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Polynomial optimization in geometric modelingMichal Kočvara; Bernard Mourrain; Cordian Riener. Polynomial Optimization, Moments, and Applications, Springer, pp.163-186, inPress
Chapitre d'ouvrage
hal-04081849v1
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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-02350517v1
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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-02958889v1
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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
inria-00193551v1
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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-00175688v1
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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-00137424v1
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Meshing of SurfacesEffective Computational Geometry for Curves and Surfaces, Springer, pp.181-230, 2007, Mathematics and Visualization
Chapitre d'ouvrage
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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-00170886v1
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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-00130216v1
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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-00178498v1
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Uniqueness of Minimal Euclidean Reconstruction from 4 Points2001
Autre publication scientifique
inria-00548269v1
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From moments to sparse representations, an algebraic, geometric and algorithmic viewpointÉcole thématique. France. 2019
Cours
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