Bibliography

Publications of the year

Doctoral Dissertations and Habilitation Theses

• 1E. Berrini.
  
  Geometric modelling and deformation for automatic shape optimisation, Université Côte d'Azur, June 2017.
  
  https://tel.archives-ouvertes.fr/tel-01587806
• 2A. Karasoulou.
  
  Algebraic combinatorics and resultant methods for polynomial system solving, National and Kapodistrian University of Athens, Greece, May 2017.
  
  https://hal.inria.fr/tel-01671507

Articles in International Peer-Reviewed Journals

• 3A. Bernardi, N. S. Daleo, J. D. Hauenstein, B. Mourrain.
  
  Tensor decomposition and homotopy continuation, in: Differential Geometry and its Applications, August 2017, vol. 55, pp. 78-105. [ DOI : 10.1016/j.difgeo.2017.07.009 ]
  
  https://hal.inria.fr/hal-01250398
• 4E. Berrini, B. Mourrain, Y. Roux, M. Durand, G. Fontaine.
  
  Geometric Modelling and Deformation for Shape Optimization of Ship Hulls and Appendages, in: Journal of Ship Research, June 2017, vol. 61, n^o 2, pp. 91-106. [ DOI : 10.5957/JOSR.61.2.160059 ]
  
  https://hal.archives-ouvertes.fr/hal-01373249
• 5A. Blidia, B. Mourrain, N. Villamizar.
  
  $G^1$-smooth splines on quad meshes with 4-split macro-patch elements, in: Computer Aided Geometric Design, March 2017, vol. 52–53, pp. 106–125, https://arxiv.org/abs/1703.06717. [ DOI : 10.1016/j.cagd.2017.03.003 ]
  
  https://hal.archives-ouvertes.fr/hal-01491676
• 6N. Botbol, L. Busé, M. Chardin, S. H. Hassanzadeh, A. Simis, Q. H. Tran.
  
  Effective criteria for bigraded birational maps, in: Journal of Symbolic Computation, 2017, vol. 81, pp. 69-87, https://arxiv.org/abs/1602.07490. [ DOI : 10.1016/j.jsc.2016.12.001 ]
  
  https://hal.inria.fr/hal-01278405
• 7L. Busé, A. Galligo.
  
  Extraction of tori from minimal point sets, in: Computer Aided Geometric Design, November 2017, vol. 58, pp. 1 - 7. [ DOI : 10.1016/j.cagd.2017.10.004 ]
  
  https://hal.inria.fr/hal-01553065
• 8E. Carlini, M. V. Catalisano, A. Oneto.
  
  Waring loci and the Strassen conjecture, in: Advances in Mathematics, July 2017, vol. 314, pp. 630 – 662. [ DOI : 10.1016/j.aim.2017.05.008 ]
  
  https://hal.inria.fr/hal-01589890
• 9M. V. Catalisano, L. Chiantini, A. V. Geramita, A. Oneto.
  
  Waring-like decompositions of polynomials, 1, in: Linear Algebra and its Applications, November 2017, vol. 533, pp. 311 - 325. [ DOI : 10.1016/j.laa.2017.07.021 ]
  
  https://hal.inria.fr/hal-01590206
• 10I. Z. Emiris, A. Karasoulou, C. Tzovas.
  
  Approximating Multidimensional Subset Sum and the Minkowski Decomposition of Polygons, in: Mathematics for Computer Science, March 2017, vol. 11, pp. 35-48. [ DOI : 10.1007/s11786-017-0297-1 ]
  
  https://hal.inria.fr/hal-01401896
• 11J. Harmouch, H. Khalil, B. Mourrain.
  
  Structured low rank decomposition of multivariate Hankel matrices, in: Linear Algebra and Applications, April 2017, https://arxiv.org/abs/1701.05805. [ DOI : 10.1016/j.laa.2017.04.015 ]
  
  https://hal.inria.fr/hal-01440063
• 12B. Mourrain.
  
  Polynomial-Exponential Decomposition from Moments, in: Foundations of Computational Mathematics, October 2017, https://arxiv.org/abs/1609.05720. [ DOI : 10.1007/s10208-017-9372-x ]
  
  https://hal.inria.fr/hal-01367730
• 13M. Wu, B. Mourrain, A. Galligo, B. Nkonga.
  
  H1-parametrizations of complex planar physical domains in Isogeometric analysis, in: Computer Methods in Applied Mechanics and Engineering, May 2017, vol. 318, pp. 296–318. [ DOI : 10.1016/j.cma.2017.01.025 ]
  
  https://hal.inria.fr/hal-01196435
• 14M. Wu, B. Mourrain, A. Galligo, B. Nkonga.
  
  Hermite type Spline spaces over rectangular meshes with complex topological structures, in: Communications in Computational Physics, February 2017, vol. 21, n^o 3, pp. 835-866. [ DOI : 10.4208/cicp.OA-2016-0030 ]
  
  https://hal.inria.fr/hal-01196428
• 15M. Wu, Y. Wang, B. Mourrain, B. Nkonga, C. Cheng.
  
  Convergence rates with singular parameterizations for solving elliptic boundary value problems in isogeometric analysis, in: Computer Aided Geometric Design, April 2017, vol. 52–53, pp. 170–189. [ DOI : 10.1016/j.cagd.2017.02.006 ]
  
  https://hal.inria.fr/hal-01276699
• 16G. Xu, M. Li, B. Mourrain, T. Rabczuk, J. Xu, S. P. Bordas.
  
  Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization, in: Computer Methods in Applied Mechanics and Engineering, January 2018, vol. 328, pp. 175 - 200. [ DOI : 10.1016/j.cma.2017.08.052 ]
  
  https://hal.inria.fr/hal-01599319

International Conferences with Proceedings

• 17G. Avarikioti, I. Z. Emiris, L. Kavouras, I. Psarros.
  
  High-dimensional approximate r-nets, in: SODA: ACM/SIAM Symposium on Discrete Algorithms, Barcelone, Spain, January 2017, https://arxiv.org/abs/1607.04755.
  
  https://hal.inria.fr/hal-01636792
• 18E. Berrini, B. Mourrain, R. Duvigneau, M. Sacher, Y. Roux.
  
  Geometric model for automated multi-objective optimization of foils, in: Marine 2017, Nantes, France, VII International Conference on Computational Methods in Marine Engineering, MARINE 2017, May 2017, pp. 473-484.
  
  https://hal.archives-ouvertes.fr/hal-01524287
• 19L. Busé, I. Nonkané.
  
  Discriminants of complete intersection space curves, in: International Symposium on Symbolic and Algebraic Computation (ISSAC), Kaiserslautern, Germany, Proceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation (ISSAC), Association for Computing Machinery (ACM), July 2017, pp. 69-76, https://arxiv.org/abs/1702.01694. [ DOI : 10.1145/3087604.3087635 ]
  
  https://hal.inria.fr/hal-01455679
• 20I. Z. Emiris, C. Konaxis, I. S. Kotsireas, C. Laroche.
  
  Matrix Representations by Means of Interpolation, in: ISSAC '17 - International Symposium on Symbolic and Algebraic Computation, Kaiserslautern, Germany, July 2017, vol. International Symposium on Symbolic and Algebraic Computation, pp. 149-156, https://arxiv.org/abs/1606.00789. [ DOI : 10.1145/3087604.3087629 ]
  
  https://hal.archives-ouvertes.fr/hal-01537656
• 21A. J. Fuentes Suárez, E. Hubert.
  
  Scaffolding skeletons using spherical Voronoi diagrams, in: LAGOS'17 – IX Latin and American Algorithms, Graphs and Optimization, Marseille, France, Frédérique Bassino and Flavia Bonomo and Lionel Pournin and Mario Valencia-Pabon and Juan Carlos Vera Lizcano, September 2017, vol. 62, n^o November 2017, pp. 45-50. [ DOI : 10.1016/j.endm.2017.10.009 ]
  
  https://hal.inria.fr/hal-01509919
• 22J. HARMOUCH, B. Mourrain, H. Khalil.
  
  Decomposition of Low Rank Multi-Symmetric Tensor, in: MACIS 2017 - 7th International Conference on Mathematical Aspects of Computer and Information Sciences, Vienna, Austria, J. Blömer, I. S. Kotsireas, T. Kutsia, D. E. Simos (editors), Lect. Notes in Computer Science, Springer International Publishing, November 2017, vol. 10693, pp. 51–66. [ DOI : 10.1007/978-3-319-72453-9_4 ]
  
  https://hal.inria.fr/hal-01648747
• 23B. Mourrain.
  
  Fast algorithm for border bases of Artinian Gorenstein algebras, in: ISSAC'17 – International Symposium on Symbolic and Algebraic Computation, Kaiserslautern, Germany, hal-01515366, ACM New York, NY, USA, July 2017, pp. 333–340, https://arxiv.org/abs/1705.01328. [ DOI : 10.1145/3087604.3087632 ]
  
  https://hal.inria.fr/hal-01515366
• 24J. Van Der Hoeven, B. Mourrain.
  
  Efficient certication of numeric solutions to eigenproblems, in: MACIS 2017 - 7th International Conference on Mathematical Aspects of Computer and Information Sciences, Vienna, Austria, J. Blömer, I. S. Kotsireas, T. Kutsia, D. E. Simos (editors), Lect. Notes in Computer Science, Springer International Publishing, November 2017, vol. 10693, pp. 81–94. [ DOI : 10.1007/978-3-319-72453-9_6 ]
  
  https://hal.archives-ouvertes.fr/hal-01579079

Conferences without Proceedings

• 25M. Sacher, R. Duvigneau, O. Le Maitre, M. Durand, E. Berrini, F. Hauville, J. A. ASTOLFI.
  
  Surrogates and Classification Approaches for Efficient Global Optimization (EGO) with Inequality Constraints, in: SIAM Optimization, Vancouver, Canada, May 2017.
  
  https://hal.inria.fr/hal-01589262

Scientific Books (or Scientific Book chapters)

• 26N. Friedenberg, A. Oneto, R. L. Williams.
  
  Minkowski sums and Hadamard products of algebraic varieties, in: Combinatorial Algebraic Geometry, November 2017, Fields Institute Communications. [ DOI : 10.1007/978-1-4939-7486-3_7 ]
  
  https://hal.inria.fr/hal-01590217

Other Publications

• 27L. Busé, A. Mantzaflaris, E. Tsigaridas.
  
  Matrix formulae for Resultants and Discriminants of Bivariate Tensor-product Polynomials, December 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01654263
• 28E. Carlini, M. V. Catalisano, A. Oneto.
  
  On the Hilbert function of general fat points in ${\mathbb{P}}^1\times {\mathbb{P}}^1$, November 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01637942
• 29I. Z. Emiris, B. Mourrain, E. Tsigaridas.
  
  Separation bounds for polynomial systems, February 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01105276
• 30A. J. Fuentes Suárez, E. Hubert.
  
  Convolution surfaces with varying radius: Formulae for skeletons made of arcs of circles and line segments, January 2018, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01534159
• 31P. Görlach, E. Hubert, T. Papadopoulo.
  
  Rational invariants of ternary forms under the orthogonal group, August 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01570853
• 32E. Hubert.
  
  Invariant Algebraic Sets and Symmetrization of Polynomial Systems, April 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01254954
• 33C. Josz, J. B. Lasserre, B. Mourrain.
  
  Sparse polynomial interpolation: compressed sensing, super resolution, or Prony?, August 2017, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01575325
• 34S. Lundqvist, A. Oneto, B. Reznick, B. Shapiro.
  
  On generic and maximal $k$-ranks of binary forms, November 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01637944
• 35A. Panotopoulou, E. Ross, K. Welker, E. Hubert, G. Morin.
  
  Scaffolding a Skeleton, June 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01532765
• 36S. Telen, B. Mourrain, M. Van Barel.
  
  Solving Polynomial Systems via a Stabilized Representation of Quotient Algebras, November 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01630425