Informal Summary Page for:
Tensor Decompositions Workshop
American Institute of Mathematics, Palo Alto, California,
USA, July 19-23, 2004
Organized by Gene Golub, Tamara Kolda, James Nagy, and
Charles Van Loan
Check out the article
about the workshop that appeared in SIAM News.
Participants
-
Orly Alter, University of Texas
at Austin, USA,
orlyal@mail.utexas.edu
-
Brett W. Bader, Sandia
National Labs, Albuquerque, New Mexico, USA,
bwbader@sandia.gov
-
Michael Botchev, Univ.
Twente, The Netherlands,
m.a.botchev@math.utwente.nl
-
Rasmus Bro, Dept. of
Food Science, KVL, Denmark, rb@kvl.dk
-
Pierre Comon, University of
Nice and CNRS, France,
Comon@i3s.unice.fr
-
Eduardo D'Azevedo, Oak
Ridge National Laboratory, Oak Ridge, Tennessee, USA,
e6d@ornl.gov
-
Lieven De Lathauwer, ETIS
(ENSEA, UCP, CNRS UMR 8051), France,
Lieven.DeLathauwer@ensea.fr
-
Lisette G. De Pillis,
Harvey Mudd College, Claremore, California, USA
depillis@hmc.edu
-
Petros Drineas, Rensselaer
Polytechnic Institute, Troy, New York, USA,
drinep@cs.rpi.edu
-
Lars Elden, Linkoping
University, Sweden, laeld@math.liu.se
-
Vince Fernando, University of Oxford, England,
vince@strubi.ox.ac.uk
-
Gene Golub,
Computer Science Dept, Stanford University, California, USA,
golub@sccm.stanford.edu
-
Richard Harshman, Psychology
Dept., University of Western Ontario, London, Canada,
harshman@uwo.ca
-
John Haws, The Boeing Company, Seattle, Washington, USA,
john.c.haws@boeing.com
-
Bruce Hendrickson, Sandia
National Labs, Albuquerque, New Mexico, USA,
bah@cs.sandia.gov
-
Victoria Howle, Sandia
National Labs, Livermore, California, USA,
vehowle@sandia.gov
-
Marko Huhtanen, Helsinki
University of Technology, Finland,
marko.huhtanen@hut.fi
-
Misha Kilmer, Tufts
University, Medford, Massachusetts, USA,
misha.kilmer@tufts.edu
-
Tamara Kolda, Sandia
National Labs, Livermore, California, USA,
tgkolda@sandia.gov
-
Pieter M. Kroonenberg, Department of Education, Leiden University, The
Netherlands,
kroonenb@fsw.leidenuniv.nl
-
Teresa Laudadio, Dept. of Electrical Engineering, Div. SISTA-SCD,
KULeuven, Belgium,
teresa.laudadio@esat.kuleuven.ac.be
-
Sabine Le Borne,
Tennessee Technological University, Cookeville, Tennessee, USA,
sleborne@tntech.edu
-
Lek-Heng Lim, Stanford
University, California, USA,
lekheng@math.Stanford.EDU
-
Michael Mahoney,
Department of Mathematics, Yale University, New Haven, Connecticut,
mmahoney@cs.yale.edu
-
Carla Dee Martin, Cornell
University, Ithica, New York,
cdm22@cornell.edu
-
Nicola Mastronardi,
Istituto per le Applicazioni del Calcolo "M. Picone", Italy,
irmanm21@area.ba.cnr.it
-
Cleve Moler, The MathWorks, Natick, Massachusetts, USA,
moler@mathworks.com
-
James Nagy, Emory
University, Atlanta, Georgia, USA,
nagy@mathcs.emory.edu
-
Victor Pereyra, Weidlinger Associates, California, USA,
victor@ca.wai.com
-
Lisa Perrone, Tufts University, Medford, Massachusetts, USA,
lisa.perrone@tufts.edu
-
Lothar Reichel, Kent State
University, Kent, Ohio, USA,
reichel@math.kent.edu
-
Jennifer K Ryan, Oak
Ridge National Lab, Oak Ridge, Tennessee, USA,
ryanjk@ornl.gov
-
Michael Saunders, Dept of
Management Science and Engineering, Stanford University, California, USA,
saunders@stanford.edu
-
Berkant Savas,
Linkoping University, Sweden,
besav@mai.liu.se
-
Demetri Terzopolulos, Courant
Institute of Mathematics, New York University,
dt@cs.nyu.edu
-
Eugene Tyrtyshnikov,
Institute of Numerical Mathematics, Moscow, Russia,
tee@inm.ras.ru
-
Charles Van Loan, Computer
Science, Cornell University, Ithica, New York, USA,
cv@cs.cornell.edu
-
M. Alex O. Vasilescu, Courant
Institute of Mathematics, New York University, New York, USA,
maov@mrl.nyu.edu
Talks
-
Carla Martin - Basics of Tensors
(PDF, 258 kb)
-
Pieter Kroonenberg - Applications of
three-mode techniques: Overview, problems, and prospects (PDF, 427 kb)
-
Tammy Kolda and Brett Bader
- Tensor Notation and a MATLAB Tensor Class for Fast Algorithm Prototyping
(PDF, 1.9 MB)
-
Piere Comon (impromptu) (PDF, 62 kb)
-
Rasmus Bro - Practical Problems in Multiway Analysis (PDF, 31 MB)
-
Vince Fernando - 3D SVD (PDF, 117 kb)
-
Lieven De Lathauwer - Independent Component Analysis
(PDF, 111 kb)
-
Alex Vasilescu - TensorFaces
-
Eugene Tyrtyshnikov - Tensor Approximation and
Its Use in the Computation of the Matrix Inverse (PDF, 799 kb)
-
Cleve Moler (impromptu) - PCA and Human Gait
-
Michael Mahoney (impromptu) - Extracting Structure from Matrices and Tensors
by Random Sampling (PDF, 1.3 MB; PPT, 1.2MB)
-
Ed D'Azevdeo (impromptu) - Questions on
Fast Solvers for Kronecker Decompositions (PDF, 82 kb)
-
Marko Huhtanen (impromptu) - Real Linear SVD Framework [external
link to related paper]
-
Lek-Heng Lim (impromptu) - What's Possible
and What's Impossible in Tensor Decompositions/Approximation (PDF, 103
kb)
-
Berkant Savas - Handwritten Digit Recognition by HOSVD
-
Orly Alter - Genomic Signal Processing (PDF, 29MB)
-
Richard Harshman - Nature of Degenerate Solutions
(PDF, 654 kb) plus
annotated bibliography (PDF, 113kb)
Links to Related Papers
-
B. W. Bader and T. G. Kolda,
MATLAB Tensor
Classes for Fast Algorithm Prototyping, Technical Report SAND2004-5187,
Sandia National Laboratories, Livermore, California, October 2004. [pdf,
code in
TGZ or
ZIP format]
-
P. Comon,
Canonical Tensor Decompositions,'
I3S Report, RR-2004-17, June 17, 2004.
- P. Comon and B. Mourrain,
Decomposition of quantics in sums
of powers of linear forms,
Signal Processing, Elsevier, 53(2):93--107, September 1996
- P. Comon,
Tensor Decompositions,
in J. G. McWhirter and I. K. Proudler, editors, Mathematics in Signal
Processing V, pp. 1--24. Clarendon Press, Oxford, UK, 2002.
- L. De Lathauwer, B. De Moor, J. Vandewalle, A multilinear singular value decomposition, SIAM J. Matrix Anal. Appl., vol. 21, no. 4, Apr. 2000, pp. 1253-1278.
- L. De Lathauwer, B. De Moor, J. Vandewalle, Independent component analysis and (simultaneous) third-order tensor diagonalization, IEEE Transactions on Signal Processing, vol. 49, no. 10, Oct. 2001, pp. 2262-2271.
- L. De Lathauwer, B. De Moor, J. Vandewalle, Computation of the Canonical Decomposition by Means of a Simultaneous Generalized Schur Decomposition, SIAM Journal on Matrix Analysis and Applications, vol. 26, no. 2, 2004, pp. 295-327.
- L. De Lathauwer, J. Vandewalle, Dimensionality reduction in higher-order signal processing and rank-(R_1, R_2,...,R_N) reduction in multilinear algebra, Linear Algebra and its Applications, Special Issue on Linear Algebra in Signal and Image Processing, vol. 391, Nov. 2004, pp. 31-55.
-
W. S. Hodge and C.-F. Westin,
Identification of translational displacements between N-dimensional data
sets using the high order SVD and phase correlation, to appear in IEEE
Trans. on Image Processing.
-
Misha Elena Kilmer and
Carla D. Moravitz Martin,
Decomposing a
Tensor, SIAM News, 37(9): November 2004. -
V. Pereyra and G. Scherer,
Efficient Computer Manipulation of Tensor Products with Applications to
Multidimensional Approximation, Mathematics of Computation,
27(123):595-605, July 1973 (PDF, 735 kb)
-
N.D. Sidiropoulos, Low-Rank Decomposition of Multi-Way
Arrays: A Signal Processing Perspective, companion paper for
plenary lecture in Proceedings of
2004 IEEE Workshop on Sensor Array and Multichannel processing (SAM2004),
July 18-21, Sitges, Barcelona, Spain. ("Copyright (c) 2004 Institute of
Electrical and Electronics Engineers. Internal or personal use of this
material is permitted. However, permission to reprint/republish this
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copyright laws protecting it.")
-
Hongcheng Wang, Narendra Ahuja,
Facial
Expression Decomposition, International Conference on Computer Vision (ICCV),
2003 -
Hongcheng Wang, Narendra Ahuja ,
Compact Representation of Multidimensional Data Using Tensor Rank-One
Decomposition, International Conference on Pattern Recognition (ICPR),
2004 - M. A. O. Vasilescu and D. Terzopoulos, "Multilinear Analysis of Image
Ensembles: TensorFaces," Proc. 7th European Conference on Computer
Vision (ECCV'02), Copenhagen, Denmark, May, 2002, in Computer Vision
-- ECCV 2002, Lecture Notes in Computer Science, Vol. 2350, A. Heyden
et al. (Eds.), Springer-Verlag, Berlin, 2002, 447-460.
- M. A. O. Vasilescu and D. Terzopoulos,
"Multilinear Image Analysis for Facial Recognition,'' Proceedings
of International Conference on Pattern Recognition (ICPR 2002), Vol.
2, Quebec City, Canada, Aug, 2002, 511-514.
- M. A. O. Vasilescu and D. Terzopoulos,
"Multilinear Subspace Analysis for Image Ensembles,'' Proc.
Computer Vision and Pattern Recognition Conf. (CVPR '03), Vol.2,
Madison, WI, June, 2003, 93-99.
- M. A. O. Vasilescu and D. Terzopoulos, "TensorTextures: Multilinear Image-Based Rendering", Proc. ACM
SIGGRAPH 2004 Conference Los Angeles, CA, August, 2004, in Computer
Graphics Proceedings, Annual Conference Series, 2004, 336-342.
- M. A. O. Vasilescu and D. Terzopoulos, "Multilinear
Independent Components Analysis" , Proc. Computer Vision and
Pattern Recognition Conf. (CVPR '05),
To add a paper here, please send email to
tgkolda@sandia.gov
Other Links
Maintained (for now) by Tammy Kolda.
Please address comments or questions to
tgkolda@sandia.gov.