ANR DECOTES
ANR-06-BLAN-0074

Crossing antennas
 The ANR project Decotes is dedicated to Tensor Decompositions, and their aplications to Telecommunications and Biomedical engineering. The project is supported by the French National Research Agency (ANR), started on March 1st, 2007, and ended in June 2010.
 Spherical models

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Scientific topics addressed
Plenary meetings
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Publications

Publications in international journals
  1. P. Chevalier, A. Ferreol, L. Albera and G. Birot, "Higher order direction finding from arrays with polarization diversity: the PD-2q-MUSIC algorithm", IEEE Transactions on Signal Processing, vol. 55, no. 11, pp. 5337-5350, November 2007.
  2. M. Rajih and P. Comon and R. Harshman, "Enhanced Line Search : A Novel Method to Accelerate Parafac". SIAM Journal on Matrix Analysis and Applications, Sept. 2008, 30(3), pp. 1148−1171. hal−00327595
  3. P. Comon and G. Golub and L−H. Lim and B. Mourrain, "Symmetric tensors and symmetric tensor rank". SIAM Journal on Matrix Analysis and Applications, Sept. 2008, 30(3), 1254−1279. hal−00327599
  4. A.L.F. de Almeida, G. favier, J.C.M. Mota, "Parafac-based unified tensor modeling for wireless communication systems with application to blind multiuser equalization", Signal Processing, Elsevier, 87, 337-351, 2007.
  5. A. Kachenoura, L. Albera, L. Senhadji and P. Comon, "ICA: a potential tool for BCI systems", IEEE Signal Processing Magazine, vol. 25, no. 1, pp. 57–68, January 2008.
  6. L. Albera, A. Ferreol, D. Cosandier-Rimele, I. Merlet and F. Wendling, "Brain source localization using a fourth order deflation scheme", IEEE Transactions on Biomedical Engineering, vol. 55, no. 2, pp. 490–501, February 2008.
  7. A. Kachenoura, L. Albera, J-J Bellanger and L. Senhadji, "Non-minimum phase identification based on higher order spectrum slices", IEEE Transactions on Signal Processing, vol. 56, no. 5, pp. 1821-1829, May 2008.
  8. A.L.F. de Almeida, G. Favier, J.C.M. Mota, "Multiuser MIMO Systems Using Block Space-Time Spreading and Tensor Modeling", Signal Processing, Elsevier.
  9. A.L.F. de Almeida, G. Favier, J.C.M. Mota, "Constrained Tensor Modeling Approach to Blind Multiple-Antenna CDMA Schemes", IEEE Transactions on Signal Processing, vol.56, no.6, pp.2417-2428, 2008.
  10. A.L.F. de Almeida, G. Favier, J.C.M. Mota, "A Constrained Factor Decomposition With Application to MIMO Antenna Systems", IEEE Transactions on Signal Processing, vol.56, no.6, pp. 2429-2442, 2008.
  11. D. Diochnos, I. Z. Emiris, and E. P. Tsigaridas, "On the asymptotic and practical complexity of solving bivariate systems over the reals", Journal of Symbolic Computation, 44(7): 818-835, 2009.
  12. I. Z. Emiris and E. P. Tsigaridas, "Real algebraic numbers and polynomial systems of small degree", Theoretical Computer Science, 409(2):186--199, 2008.
  13. J. Brachat, P. Comon, B. Mourrain, and E. P. Tsigaridas, "Symmetric Tensor Decomposition, Linear Algebra and its Applications, vol.433, no.11-12, pp.1851-1872, 2010. arXiv:0901.3706
  14. L−H. Lim and P. Comon, "Nonnegative approximations of nonnegative tensors". Journal of Chemometrics, Aug. 2009, vol. 23, pp. 432−441, hal−00410056
  15. P. Comon and J. M. F. Ten Berge and L. DeLathauwer and J. Castaing, "Generic and Typical Ranks of Multi−Way Arrays". Linear Algebra and its Applications, Jun. 2009, 430(11), pp. 2997−3007. hal−00410057
  16. P. Comon and X. Luciani and A. L. F. De Almeida, "Tensor Decompositions, Alternating Least Squares and other Tales". Journal of Chemometrics, Aug. 2009, vol. 23, pp. 393−405. hal−00410057 
  17. A. Karfoul, L. Albera and G. Birot , "Blind underdetermined mixture identification by joint canonical decomposition of HO cumulants", IEEE Transactions On Signal Processing, vol. 58, no. 2, pp. 638-649, February 2010.
International conferences with proceedings
  1. P. Chevalier, A. Ferreol, L. Albera and G. Birot, "Higher Order Direction Finding with Polarization Diversity: the PD-2Q-Music Algorithms", EUSIPCO'07, XV European Signal Processing Conference, Poznan, Poland, September 3-7, 2007.
  2. M. Castella, P. Comon, "Blind Separation of Instantaneous Mixtures of Dependent souces", ICA07, Int. Conference on Independent Conmponent Analysis and Signal Separation, London, 9-12 September 2007.
  3. C. E. Fernandes, P. Comon, G. Favier, "Order detection and blind identification of 2x1 MISO channels", ICASSP, IEEE Int Conference on Acoustics Speech and Signal Processing, Honolulu, April 15-20, 2007.
  4. C. E. Fernandes, G. Favier, J.C.M. Mota, "Tensor-based blind channel identification", ICC07, IEEE International Conference on Communications, Glasgow, Scotland, 24-28 June 2007.
  5. G. Birot, L. Albera, A. Ferreol and P. Chevalier, "DOA estimation based on an even order deflation scheme", in DSP 07, 2007 IEEE International Conference on Digital Signal Processing, Cardiff, Wales, UK, July 1-4 2007.
  6. A. Kachenoura, L. Albera and L. Senhadji, "Blind source separation methods applied to synthesized polysomnographic recordings: a comparative study", in EMBC 07, 29th IEEE Annual International Conference of the Engineering in Medicine and Biology Society, Lyon, France, August 23-26, 2007, pp. 3868-3871.
  7. A. Karfoul, L. Albera and G. Birot, "Joint canonical decomposition of sixth order cumulants: application to blind underdetermined mixture identification", in MLSP 07, 2007 IEEE International Workshop on Machine Learning for Signal Processing, Thessaloniki, Greece, August 27-29, 2007.
  8. M. Sorensen, P. Comon, S. Icart and L. Deneire, "Parafac2 receivers for Orthogonal Space−Time Block Codes". IEEE Int Conference on Communications (ICC'09), June 14-18, 2009 Dresden.
  9. P. Comon and J. ten Berge, "Generic and Typical Ranks of Three-Way Arrays", in IEEE Int Conference on Acoustics Speech and Signal Processing (Icassp'08), Las Vegas, March 30 - April 4, 2008.
  10. M. Sorensen, S. Icart, P. Comon, and L. Deneire, "Gradient based Approximate Joint Diagonalization by Orthogonal Transforms", in 16th European Signal Processing Conference (Eusipco'08), Lausanne, August 25-29 2008.
  11. I. Z. Emiris, E. P. Tsigaridas and G. M. Tzoumas, "Exact Delaunay graph of smooth convex pseudo-circles: General predicates, and implementation for ellipses, in SIAM/ACM Joint Conference on Geometric and Physical Modeling, USA, 2009.
  12. A. Mantzaflaris, B. Mourrain and E. P. Tsigaridas, "Continued fraction expansion of real roots of polynomial systems", in Proc. 3rd ACM International Workshop on Symbolic-Numeric Computation (SNC), Japan, 2009.
  13. I. Z. Emiris, M. Hemmer, M. I. Karavelas, B. Mourrain, E. P. Tsigaridas, and Z. Zafeirakopoulos, "Experimental evaluation and cross-benchmarking of univariate real solvers", in Proc. 3rd ACM International Workshop on Symbolic-Numeric Computation (SNC), Japan, 2009.
  14. B. Mourrain and E. P. Tsigaridas, "On the complexity of complex root isolation, in Proc. 10th Int. Symp. on Effective Methods in Algebraic Geometry (MEGA), Spain, 2009.
  15. J. Brachat, P. Comon, B. Mourrain, and E. P. Tsigaridas, "Symmetric Tensor Decomposition", in Proc. 17th European Signal Processing Conference (EUSIPCO), Scotland, 2009.
  16. M. Sorensen and P. Comon and S. Icart and L. Deneire, "Approximate tensor diagonalization by invertible transforms", in Proc. 17th European Signal Processing Conference (EUSIPCO), Scotland, 2009.
  17. A. Karfoul and L. Albera and P. Comon, "Canonical decomposition of even order Hermitian positive semi−definite arrays", in Proc. 17th European Signal Processing Conference (EUSIPCO), Scotland, 2009.
  18. A. Stegeman and P. Comon, "Subtracting a best rank−1 approximation may increase tensor rank", in Proc. 17th European Signal Processing Conference (EUSIPCO), Scotland, 2009.
  19. C. Galanaki, and E. P. Tsigaridas, "Quantifier elimination for small degree polynomials", in Proc. 7th Panhellenic Logic Symposium (PLS), Greece, 2009.
  20. P. Comon, R. Deriche, M. Descoteaux, A. Ghosh, B. Mourrain, and E. P. Tsigaridas, "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 MRI", in W. Alexander and J. Gee, editors, pp.237-248, 11th Intern. Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI) Workshop on Computational Diffusion MRI, NY, 2008.
  21. I. Z. Emiris, E. P. Tsigaridas and G. Tzoumas, "Exact Delaunay graph of smooth convex pseudo-circles", in Proc.  25nd European Workshop on Computational Geometry (EuroCG), pp.325-328, Belgium, 2009.
  22. P. Comon, "Tensors, usefulness and unexpected properties,'' in IEEE Workshop on Statistical Signal Processing (SSP'09), Cardiff, UK, Aug. 31 - Sep. 3 2009. invited keynote
International conferences without proceedings
  1. B. Mourrain, "Symbolic–numeric methods for semi-algebraic shapes", ICIAM07, 6th International Conference on Industrial and Applied Mathematics, Minisymposium P330, 16-20 July, 2007. invited session
  2. L-H. LIM and P. Comon, "Multilinear algebra in machine learning and signal processing", Minisymposium IC/MP/020/E307, ‘Numerical Multilinear Algebra: A New Beginning’, 6th International Conference on Industrial and Applied Mathematics (ICIAM) conference, Zurich, 17 July 2007. invited session
  3. I. Z. Emiris, B. Mourrain and E. P. Tsigaridas, "Computing a rational in between", ACM Int. Symposium on Symbolic and Algebraic Computation (ISSAC), 2008, extended abstract.
  4. B. Mourrain, "On a Generalisation of Sylvester Method for Symmetric Tensor Decomposition", SIAM annual meeting, July 7-11, 2008, San Diego.
  5. P. Comon, "Tensor decompositions in Engineering", American Institute of Mathematics (AIM) Workshop on Geometry and representation theory of tensors for computer science, statistics and other areas, AIM Research Conference Center (ARCC), Palo Alto, CA, July 21-25 2008. invited
  6. I. Z. Emiris, B. Mourrain, and E. P. Tsigaridas, "Computing a rational in between", in Proc. ACM Int. Symposium on Symbolic and Algebraic Computation (ISSAC), Linz, Austria, 2008.
  7. P. Comon, "Tensor decompositions in statistical signal processing", European Workshop on Challenges in Modern Massive Data Sets (EMMDS'09), Technical University of Denmark, Copenhaguen, July~1-4 2009. invited plenary
National conferences with proceedings
  1. P. Chevalier, A. Ferreol, L. Albera et G. Birot, "Goniometrie aux ordres superieurs pour reseaux d'antennes a polarisation multiple", GRETSI 07, XXIeme colloque sur le Traitement du Signal et des Images, Troyes, France, 11-14 septembre, 2007.
  2. L. Albera, P. Comon and H. XU, "SAUD, un algorithme d'ICA base sur une procedure de Deflation Unitaire Semi-Algebrique", in GRETSI 07, XXIeme colloque sur le Traitement du Signal et des Images, Troyes, France, 11-14 septembre, 2007.
  3. A. Kachenoura, L. Albera, L. Senhadji and P. Comon, "L'ICA : un outil pour les Interfaces Cerveau-Machine", in GRETSI 07, XXIeme colloque sur le Traitement du Signal et des Images, Troyes, France, 11-14 septembre, 2007.
Book chapters
  1. B. Mourrain, "Pythagore's Dilemma, Symbolic-Numeric Computation, and the Border Basis Method", in Symbolic-Numeric Computation, Dongming Wang & Lihong Zhi Eds, Birkhauser, Trends in Mathematics, pp. 223--243.
  2. V. Zarzoso, R. Phlypo, O. Meste, and P. Comon, "Signal Extraction in Multisensor Biomedical Recordings", in P. Verdonck, editor, Advances in Biomedical Engineering, Elsevier BV, Oxford, UK, 2008
  3. P. Chevalier and A. Ferreol, L. Albera, "High resolution DOA estimation with higher order statistics", in Classical and modern direction of arrival estimation, E. Tuncer and B. Friedlander Eds, Academic Press, 2009.
Books
  1. M. Elkadi, B. Mourrain, Introduction a la resolution des systemes polynomiaux, Mathematiques et Applications, 59, Springer, 2007.
  2. P. Comon, C. Jutten, Separation de sources, volume 1, Hermes, Feb 2007.
  3. P. Comon, C. Jutten, Handbook of Blind Source Separation, Feb. 2010, Academic Press.
Publications in national journals
  1. A. Kachenoura, L. Albera, and L. Senhadji, "Separation aveugle de sources en ingenierie biomedicale", ITBM-RBM, Elsevier, vol. 28, no. 1, pp. 20–34, March 2007.
  2. L. Senhadji and A. Kachenoura and L. Albera and P. Comon, "Sur l'exploitation des approches d'analyse en composantes independantes dans les interfaces cerveau machine", Ingenierie et recherche BioMedicale, 2009, vol.30, pp.211-217
Research reports
  1. P. Comon, J. ten Berge, "Generic and Typical Ranks of Three-Way Arrays", I3S report, ISRN I3S-RR-2006-29, September 2006.
  2. P. Comon, B. Mourrain and E. Tsigaridas, "Symmetric Tensor decomposition", I3S report, ISRN I3S/RR-2008-12-FR, Aug, 2008.