Non-defectivity of Grassmannians of planes, Journal of Algebraic Geometry, vol.21, issue.1, pp.1-20, 2012. ,
DOI : 10.1090/S1056-3911-2010-00540-1
A Degree Formula for Secant Varieties of Curves, Proceedings of the Edinburgh Mathematical Society, vol.38, issue.02, pp.305-322, 2014. ,
DOI : 10.1007/BF01390254
Polynomial interpolation in several variables, J. Alg. Geom, vol.4, issue.2, pp.201-222, 1995. ,
Phylogenetic ideals and varieties for the general Markov model, Advances in Applied Mathematics, vol.40, issue.2, pp.127-148, 2008. ,
DOI : 10.1016/j.aam.2006.10.002
Real Solving for Positive Dimensional Systems, Journal of Symbolic Computation, vol.34, issue.6, pp.543-560, 2002. ,
DOI : 10.1006/jsco.2002.0563
URL : https://hal.archives-ouvertes.fr/inria-00100982
ON THE TYPICAL RANK OF REAL POLYNOMIALS (OR SYMMETRIC TENSORS) WITH A FIXED BORDER RANK, Acta Mathematica Vietnamica, vol.65, issue.3, pp.367-378, 2014. ,
DOI : 10.1007/s40306-014-0068-x
Stratification of the fourth secant variety of Veronese varieties via the symmetric rank, Advances in Pure and Applied Mathematics, vol.4, issue.2 ,
DOI : 10.1515/apam-2013-0015
Tensor ranks on tangent developable of Segre varieties. Linear and Multilinear Algebra, pp.881-984, 2013. ,
URL : https://hal.archives-ouvertes.fr/inria-00610362
Rank and border rank of real ternary cubics, Bollettino dell'UMI, pp.65-80, 2015. ,
DOI : 10.1007/s40574-015-0027-z
Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry, Experimental Mathematics, vol.40, issue.1, pp.38-50, 2013. ,
DOI : 10.1080/10586458.2013.737640
Bertini: software for numerical algebraic geometry ,
Numerically Solving Polynomial Systems with Bertini, 2013. ,
Toward a Salmon Conjecture, Experimental Mathematics, vol.52, issue.3, pp.358-370, 2011. ,
DOI : 10.1142/9789812567727
Application of a numerical version of Terracini's lemma for secants and joins, Algorithms in algebraic geometry, pp.1-14, 2008. ,
Secant Dimensions of Minimal Orbits: Computations and Conjectures, Experimental Mathematics, vol.16, issue.2, pp.239-250, 2007. ,
DOI : 10.1080/10586458.2007.10128997
Computing symmetric rank for symmetric tensors, Journal of Symbolic Computation, vol.46, issue.1, pp.34-53, 2011. ,
DOI : 10.1016/j.jsc.2010.08.001
URL : https://hal.archives-ouvertes.fr/hal-00645973
General tensor decomposition, moment matrices and applications, Journal of Symbolic Computation, vol.52, pp.2011-51, 2013. ,
DOI : 10.1016/j.jsc.2012.05.012
URL : https://hal.archives-ouvertes.fr/inria-00590965
A comparison of different notions of ranks of symmetric tensors, Linear Algebra and its Applications, vol.460, pp.460-205, 2014. ,
DOI : 10.1016/j.laa.2014.07.036
URL : https://hal.archives-ouvertes.fr/hal-00746967
On real typical ranks ,
On the cactus rank of cubic forms, Journal of Symbolic Computation, vol.50, pp.291-297, 2013. ,
DOI : 10.1016/j.jsc.2012.08.001
URL : https://hal.archives-ouvertes.fr/inria-00630456
Typical Real Ranks of Binary Forms arXiv:1205 ,
Abstract, Compositio Mathematica, vol.92, issue.06, pp.1717-1735, 2012. ,
DOI : 10.1016/j.jsc.2011.08.023
On maximum, typical and generic ranks, Mathematische Annalen, vol.62, issue.4, pp.1021-1031, 2015. ,
DOI : 10.1007/s00208-014-1150-3
Monomials as sums of powers: The real binary case, Proc. Amer, pp.3039-3043, 2011. ,
DOI : 10.1090/S0002-9939-2011-11018-9
Symmetric tensor decomposition. Linear Algebra and Applications, pp.11-12, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00355713
On differences between the border rank and the smoothable rank of a polynomial ,
The solution to the Waring problem for monomials and the sum of coprime monomials, Journal of Algebra, vol.370, pp.5-14, 2012. ,
DOI : 10.1016/j.jalgebra.2012.07.028
Secant varieties of Grassmann varieties, Proc. Amer, pp.633-642, 2005. ,
On the maximum rank of a real binary form, Annali di Matematica Pura ed Applicata, vol.212, issue.2, pp.55-59, 2011. ,
DOI : 10.1007/s10231-010-0137-2
On the virtual array concept for higher order array processing, IEEE Transactions on Signal Processing, vol.53, issue.4, pp.1254-1271, 2005. ,
DOI : 10.1109/TSP.2005.843703
On the Rank of a Binary Form, Foundations of Computational Mathematics, vol.117, issue.2, pp.65-78, 2011. ,
DOI : 10.1007/s10208-010-9077-x
Independent Component Analysis, Higher-Order Statistics, pp.29-38, 1992. ,
Tensor decompositions, Math. Signal Processing, pp.1-24, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00339493
Handbook of Blind Source Separation: Independent Component Analysis and Applications, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00460653
On the typical rank of real binary forms. Linear and Multilinear Algebra, pp.657-667, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00700790
Secant varieties of toric varieties, Journal of Pure and Applied Algebra, vol.209, issue.3, pp.651-669, 2007. ,
DOI : 10.1016/j.jpaa.2006.07.008
An implicitization challenge for binary factor analysis, Journal of Symbolic Computation, vol.45, issue.12, pp.1296-1315, 2010. ,
DOI : 10.1016/j.jsc.2010.06.011
Algorithms and Applications in Numerical Elimination Theory. PhD dissertation, 2015. ,
Computations and equations for Segre-Grassmann hypersurfaces, Portugaliae Mathematica, vol.73, issue.1 ,
DOI : 10.4171/PM/1977
Tensor-based techniques for the blind separation of DS???CDMA signals, Signal Processing, vol.87, issue.2, pp.322-336, 2007. ,
DOI : 10.1016/j.sigpro.2005.12.015
The euclidean distance degree, Proceedings of the 2014 Symposium on Symbolic-Numeric Computation, SNC '14 ,
DOI : 10.1145/2631948.2631951
Multiparticle entanglement Lectures on quantum information, pp.237-252, 2007. ,
Stromme Bott's formula and enumerative geometry, Journal of the American Mathematical Society, vol.9, issue.01, pp.175-193, 1996. ,
DOI : 10.1090/S0894-0347-96-00189-0
Abstract, Advances in Geometry, vol.15, issue.2, pp.173-187, 2015. ,
DOI : 10.1515/advgeom-2015-0004
Numerically Computing Real Points on Algebraic Sets, Acta Applicandae Mathematicae, vol.46, issue.9, pp.105-119, 2013. ,
DOI : 10.1007/s10440-012-9782-3
An a posteriori certification algorithm for Newton homotopies, pp.248-255, 2014. ,
Equations for Lower Bounds on Border Rank, Experimental Mathematics, vol.13, issue.3, pp.372-383, 2013. ,
DOI : 10.1137/S0036142901397101
Certified predictor???corrector tracking for Newton homotopies, Journal of Symbolic Computation, vol.74 ,
DOI : 10.1016/j.jsc.2015.07.001
Certifying Isolated Singular Points and their Multiplicity Structure, Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation, ISSAC '15 ,
DOI : 10.1145/2755996.2756645
URL : https://hal.archives-ouvertes.fr/hal-01107541
Abstract, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.0, issue.0 ,
DOI : 10.1515/crelle-2016-0067
Membership tests for images of algebraic sets by linear projections, Applied Mathematics and Computation, vol.219, issue.12, pp.6809-6818, 2013. ,
DOI : 10.1016/j.amc.2012.12.060
Witness sets of projections, Applied Mathematics and Computation, vol.217, issue.7, pp.3349-3354, 2010. ,
DOI : 10.1016/j.amc.2010.08.067
Regenerative cascade homotopies for solving polynomial systems, Applied Mathematics and Computation, vol.218, issue.4, pp.1240-1246, 2011. ,
DOI : 10.1016/j.amc.2011.06.004
Numerical algebraic intersection using regeneration ,
Isosingular Sets and Deflation, Foundations of Computational Mathematics, vol.46, issue.9, pp.371-403, 2013. ,
DOI : 10.1007/s10208-013-9147-y
Power sums, Gorenstein algebras, and determinantal loci, Lecture Notes in Mathematics, vol.1721, 1999. ,
DOI : 10.1007/BFb0093426
Chordal varieties of Veronese varieties and catalecticant matrices, Journal of Mathematical Sciences, vol.98, issue.2, pp.1114-1125, 1999. ,
DOI : 10.1007/BF02367252
Kruskal's Permutation Lemma and the Identification of CANDECOMP/PARAFAC and Bilinear Models with Constant Modulus Constraints, IEEE Transactions on Signal Processing, vol.52, issue.9, pp.2625-2636, 2004. ,
DOI : 10.1109/TSP.2004.832022
Tensors: geometry and applications, Graduate Studies in Mathematics, vol.128 ,
DOI : 10.1090/gsm/128
Equations for secant varieties of Veronese and other varieties, Annali di Matematica Pura e Applicata, pp.569-606, 2013. ,
DOI : 10.1007/s10231-011-0238-6
On the Ranks and Border Ranks of Symmetric Tensors, Foundations of Computational Mathematics, vol.54, issue.2, pp.339-366, 2010. ,
DOI : 10.1007/s10208-009-9055-3
Critical points via monodromy and local methods ,
Tensor Methods in Statistics, Monographs on Statistics and Applied Probability, 1987. ,
Coefficient-parameter polynomial continuation, Applied Mathematics and Computation, vol.29, issue.2, pp.123-160, 1989. ,
DOI : 10.1016/0096-3003(89)90099-4
Eigenvectors of tensors and algorithms for Waring decomposition, Journal of Symbolic Computation, vol.54, pp.9-35, 2013. ,
DOI : 10.1016/j.jsc.2012.11.005
Exact Solutions in Structured Low-Rank Approximation, SIAM Journal on Matrix Analysis and Applications, vol.35, issue.4, pp.1521-1542, 2014. ,
DOI : 10.1137/13094520X
URL : https://hal.archives-ouvertes.fr/hal-00953702
Secant Varieties of Segre?Veronese Varieties. Algebra & Number Theory, pp.1817-1868, 2012. ,
The degree of the secant variety and the join of monomial curves, Collect. Math, vol.57, issue.1, pp.27-41, 2006. ,
On the rank of a symmetric form, Journal of Algebra, vol.346, issue.1, pp.340-342, 2011. ,
DOI : 10.1016/j.jalgebra.2011.07.032
Finding at Least One Point in Each Connected Component of a Real Algebraic Set Defined by a Single Equation, Journal of Complexity, vol.16, issue.4, pp.716-750, 2000. ,
DOI : 10.1006/jcom.2000.0563
URL : https://hal.archives-ouvertes.fr/inria-00107845
Geometry and algebra of prime Fano 3-folds of genus 12, Compositio Mathematica, vol.127, issue.3, pp.297-319, 2001. ,
DOI : 10.1023/A:1017529016445
Estimating Crossing Fibers: A Tensor Decomposition Approach, IEEE Transactions on Visualization and Computer Graphics, vol.14, issue.6, pp.1635-1677, 2008. ,
DOI : 10.1109/TVCG.2008.128
A New Decision Method for Elementary Algebra, The Annals of Mathematics, vol.60, issue.2, pp.365-374, 1954. ,
DOI : 10.2307/1969640
Blind PARAFAC receivers for DS-CDMA systems, IEEE Transactions on Signal Processing, vol.48, issue.3, pp.810-823, 2000. ,
DOI : 10.1109/78.824675
Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets, Journal of Complexity, vol.16, issue.3, pp.572-602, 2000. ,
DOI : 10.1006/jcom.2000.0554
Homotopies for Intersecting Solution Components of Polynomial Systems, SIAM Journal on Numerical Analysis, vol.42, issue.4, pp.1552-1571, 2004. ,
DOI : 10.1137/S0036142903430463
Numerical irreducible decomposition using projections from points on the components, Contemp. Math, vol.206, pp.37-51, 2001. ,
DOI : 10.1090/conm/286/04753
Numerical irreducible decomposition using PHCpack, pp.109-130, 2003. ,
The Numerical solution of systems of polynomials arising in engineering and science, 2005. ,
DOI : 10.1142/5763
Rank and Optimal Computation of Generic Tensors, Linear Algebra Appl, vol.52, pp.645-685, 1983. ,
Sur une extension d'un théorème de Clebsh relatif aux courbes duquatrì eme degré, Comptes Rendus, Math. Acad. Sci. Paris, vol.102, pp.1532-1534, 1886. ,
Quantum computers that can be simulated classically in polynomial time, Proceedings of the thirty-third annual ACM symposium on Theory of computing , STOC '01, pp.114-123, 2001. ,
DOI : 10.1145/380752.380785
Finding points on real solution components and applications to differential polynomial systems, Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation, ISSAC '13, pp.339-346 ,
DOI : 10.1145/2465506.2465954