-
1
-
-
85163188929
-
Multiple invariants and generalized rank of a p-way matrix or tensor
-
F. Hitchcock, "Multiple invariants and generalized rank of a p-way matrix or tensor", J. Mathematics and Physics 7, 39-79 (1927
-
(1927)
J. Mathematics and Physics
, vol.7
, pp. 39-79
-
-
Hitchcock, F.1
-
2
-
-
0013953617
-
Some mathematical notes on three-mode factor analysis
-
L. Tucker, "Some mathematical notes on three-mode factor analysis", Psychometrika 31 (3), 279-311 (1966
-
(1966)
Psychometrika
, vol.31
, Issue.3
, pp. 279-311
-
-
Tucker, L.1
-
3
-
-
0034144758
-
A multilinear singular value decomposition
-
L. De Lathauwer, B. De Moor, and J. Vandewalle, "A multilinear singular value decomposition", SIAM J. on Matrix Analysis and Applications 21, 1253-1278 (2000
-
(2000)
SIAM J. On Matrix Analysis and Applications
, vol.21
, pp. 1253-1278
-
-
De Lathauwer, L.1
De Moor, B.2
Vandewalle, J.3
-
4
-
-
68649096448
-
Tensor decompositions and applications
-
T.G. Kolda and B.W. Bader, "Tensor decompositions and applications", SIAM Review 51 (3), 455-500 (2009
-
(2009)
SIAM Review
, vol.51
, Issue.3
, pp. 455-500
-
-
Kolda, T.G.1
Bader, B.W.2
-
5
-
-
84891283756
-
-
Wiley, Chichester
-
A. Cichocki, R. Zdunek, A.-H. Phan, and S. Amari, Nonnegative Matrix and Tensor Factorizations: Applications to Exploratory Multi-way Data Analysis and Blind Source Separation, Wiley, Chichester, 2009.
-
(2009)
Nonnegative Matrix Tensor Factorizations: Applications to Exploratory Multi-way Data Analysis and Blind Source Separation
-
-
Cichocki, A.1
Zdunek, R.2
Phan, A.-H.3
Amari, S.4
-
6
-
-
84869034845
-
Tensors decompositions: New concepts for brain data analysis?
-
A. Cichocki, "Tensors decompositions: new concepts for brain data analysis?", J. Control, Measurement, and System Integration (SICE) 7, 507-517 (2011
-
(2011)
J. Control, Measurement, and System Integration (SICE)
, vol.7
, pp. 507-517
-
-
Cichocki, A.1
-
7
-
-
0034144761
-
On the best rank-1 and rank-(r1,r2, ..,rn) approximation of higherorder tensors
-
L. De Lathauwer, B. De Moor, and J. Vandewalle, "On the best rank-1 and rank-(R1,R2, ...,Rn) approximation of higherorder tensors", SIAM J. on Matrix Analysis and Applications 21 (4), 1324-1342 (2000
-
(2000)
SIAM J. On Matrix Analysis and Applications
, vol.21
, Issue.4
, pp. 1324-1342
-
-
De Lathauwer, L.1
De Moor, B.2
Vandewalle, J.3
-
8
-
-
3042639103
-
Decomposing eeg data into space-time-frequency components using parallel factor analysis
-
F. Miwakeichi, E. Martnez-Montes, P. Valds-Sosa, N. Nishiyama, H. Mizuhara, and Y. Yamaguchi, "Decomposing EEG data into space-time-frequency components using parallel factor analysis", NeuroImage 22 (3), 1035-1045 (2004
-
(2004)
NeuroImage
, vol.22
, Issue.3
, pp. 1035-1045
-
-
Miwakeichi, F.1
Martnez-Montes, E.2
Valds-Sosa, P.3
Nishiyama, N.4
Mizuhara, H.5
Yamaguchi, Y.6
-
9
-
-
78149283977
-
Detecting the number of clusters in n-way probabilistic clustering
-
Z. He, A. Cichocki, S. Xie, and K. Choi, "Detecting the number of clusters in n-way probabilistic clustering", IEEE Trans. on Pattern Analysis and Machine Intelligence 32 (11), 2006- 2021 (2010
-
(2010)
IEEE Trans. On Pattern Analysis and Machine Intelligence
, vol.32
, Issue.11
, pp. 2006-2021
-
-
He, Z.1
Cichocki, A.2
Xie, S.3
Choi, K.4
-
10
-
-
78751515806
-
Tensor decompositions for feature extraction and classification of high dimensional datasets
-
H.A. Phan and A. Cichocki, "Tensor decompositions for feature extraction and classification of high dimensional datasets", Nonlinear Theory and Its Applications, IEICE 1 (1), 37-68 (2010
-
(2010)
Nonlinear Theory and Its Applications, IEICE
, vol.1
, Issue.1
, pp. 37-68
-
-
Phan, H.A.1
Cichocki, A.2
-
11
-
-
84861117022
-
Multi-way analysis in the food industry: Models, algorithms & applications
-
R. Bro, "Multi-way analysis in the food industry: Models, algorithms & applications", Food Technology 309, http://curis.ku.dk/ws/files/ 13035961/RasmusBro.pdf, (1998
-
(1998)
Food Technology
, vol.309
-
-
Bro, R.1
-
12
-
-
2942597622
-
Structure-seeking multilinear methods for the analysis of fmri data
-
A.H. Andersen and W.S. Rayens, "Structure-seeking multilinear methods for the analysis of fMRI data", NeuroImage 22 (2), 728-739 (2004
-
(2004)
NeuroImage
, vol.22
, Issue.2
, pp. 728-739
-
-
Andersen, A.H.1
Rayens, W.S.2
-
13
-
-
3042592851
-
Concurrent eeg/fmri analysis by multiway partial least squares
-
E. Mart́inez-Montes, P.A. Vald́es-Sosa, F. Miwakeichi, R. Goldman, and M. Cohen, "Concurrent EEG/fMRI analysis by multiway partial least squares", NeuroImage 22 (3), 1023- 1034 (2004
-
(2004)
NeuroImage
, vol.22
, Issue.3
, pp. 1023-1034
-
-
Mart́inez-Montes, E.1
Vald́es-Sosa, P.A.2
Miwakeichi, F.3
Goldman, R.4
Cohen, M.5
-
14
-
-
34547844161
-
Multiway analysis of epilepsy tensors
-
E. Acar, C. Aykut-Bingol, H. Bingol, R. Bro, and B. Yener, "Multiway analysis of epilepsy tensors", Bioinformatics 23 (13), i10-i18 (2007
-
(2007)
Bioinformatics
, vol.23
, Issue.13
-
-
Acar, E.1
Aykut-Bingol, C.2
Bingol, H.3
Bro, R.4
Yener, B.5
-
15
-
-
34547830370
-
Canonical decomposition of ictal scalp eeg reliably detects the seizure onset zone
-
M. De Vos, A. Vergult, and L. De Lathauwer, "Canonical decomposition of ictal scalp EEG reliably detects the seizure onset zone", NeuroImage 37 (3), 844-854 (2007
-
(2007)
NeuroImage
, vol.37
, Issue.3
, pp. 844-854
-
-
De Vos, M.1
Vergult, A.2
De Lathauwer, L.3
-
16
-
-
48249100881
-
Algorithms for sparse nonnegative tucker decompositions
-
M. Mørup, L.K. Hansen, and S.M. Arnfred, "Algorithms for sparse nonnegative Tucker decompositions", Neural Computation 20 (8), 2112-2131 (2008
-
(2008)
Neural Computation
, vol.20
, Issue.8
, pp. 2112-2131
-
-
Mørup, M.1
Hansen, L.K.2
Arnfred, S.M.3
-
18
-
-
55349142218
-
Tensor rank and the ill-posedness of the best low-rank approximation problem
-
V. De Silva and L.-H. Lim, "Tensor rank and the ill-posedness of the best low-rank approximation problem", SIAM J. on Matrix Analysis and Applications 30 (3), 1084-1127 (2008
-
(2008)
J. On Matrix Analysis and Applications
, vol.30
, Issue.3
, pp. 1084-1127
-
-
De Silva, V.1
Lim, L.-H.2
-
19
-
-
80052325478
-
Singular value decompositions and low rank approximations of tensors
-
S. Weiland and F. Van Belzen, "Singular value decompositions and low rank approximations of tensors", IEEE Trans. on Signal Processing 58 (3), 1171-1182 (2010
-
(2010)
IEEE Trans. On Signal Processing
, vol.58
, Issue.3
, pp. 1171-1182
-
-
Weiland, S.1
Van Belzen, F.2
-
20
-
-
33746356349
-
A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalization
-
L. De Lathauwer, "A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalization", SIAM J. on Matrix Analysis and Applications 28 (3), 642-666 (2006
-
(2006)
SIAM J. On Matrix Analysis and Applications
, vol.28
, Issue.3
, pp. 642-666
-
-
De Lathauwer, L.1
-
21
-
-
14244251502
-
Tensorial extensions of independent component analysis for multisubject fmri analysis
-
C.F. Beckmann and S.M. Smith, "Tensorial extensions of independent component analysis for multisubject fMRI analysis", NeuroImage 25 (1), 294-311 (2005
-
(2005)
NeuroImage
, vol.25
, Issue.1
, pp. 294-311
-
-
Beckmann, C.F.1
Smith, S.M.2
-
22
-
-
51749087458
-
Algorithm for imposing sobi-type constraints on the cp model
-
M. De Vos, L. De Lathauwer, and S. Van Huffel, "Algorithm for imposing SOBI-type constraints on the CP model", IEEE Int. Symp. Circuits and Systems (ISCAS)., 2008, 1344-1347.
-
(2008)
IEEE Int. Symp. Circuits and Systems (ISCAS
, pp. 1344-1347
-
-
De Vos, M.1
De Lathauwer, L.2
Van Huffel, S.3
-
24
-
-
80052292276
-
Independent component analysis for three-way data with an application from atmospheric science
-
S. Unkel, A. Hannachi, N. Trendafilov, and I. Jolliffe, "Independent component analysis for three-way data with an application from atmospheric science", J. Agricultural, Biological, and Environmental Statistics 16, 319-338 (2011
-
(2011)
J. Agricultural, Biological, and Environmental Statistics
, vol.16
, pp. 319-338
-
-
Unkel, S.1
Hannachi, A.2
Trendafilov, N.3
Jolliffe, I.4
-
25
-
-
0029411030
-
An information-maximization approach to blind separation and blind deconvolution
-
A. Bell and T. Sejnowski, "An information-maximization approach to blind separation and blind deconvolution", Neural Computation 7, 1129-1159 (1995
-
(1995)
Neural Computation
, vol.7
, pp. 1129-1159
-
-
Bell, A.1
Sejnowski, T.2
-
26
-
-
0003905759
-
-
Wiley, New York
-
A. Hyvarinen, J. Karhunen, and E. Oja, Independent Component Analysis, Wiley, New York, 2001.
-
(2001)
Independent Component Analysis
-
-
Hyvarinen, A.1
Karhunen, J.2
Oja, E.3
-
28
-
-
79955473170
-
Iterative methods for the canonical decomposition of multi-way arrays: Application to blind underdetermined mixture identification
-
A. Karfoul, L. Albera, and L. De Lathauwer, "Iterative methods for the canonical decomposition of multi-way arrays: Application to blind underdetermined mixture identification", Signal Processing 91 (8), 1789-1802 (2011
-
(2011)
Signal Processing
, vol.91
, Issue.8
, pp. 1789-1802
-
-
Karfoul, A.1
Albera, L.2
De Lathauwer, L.3
-
29
-
-
0000660321
-
Blind source separation by sparse decomposition in a signal dictionary
-
M. Zibulevsky and B. A. Pearlmutter, "Blind source separation by sparse decomposition in a signal dictionary", Neural Computation 13 (4), 863-882 (2001
-
(2001)
Neural Computation
, vol.13
, Issue.4
, pp. 863-882
-
-
Zibulevsky, M.1
Pearlmutter, B.A.2
-
30
-
-
23044451368
-
Sparse component analysis and blind source separation of underdetermined mixtures
-
P. Georgiev, F. Theis, and A. Cichocki, "Sparse component analysis and blind source separation of underdetermined mixtures", IEEE Trans. on Neural Networks 16 (4), 992-996 (2005
-
(2005)
IEEE Trans. On Neural Networks
, vol.16
, Issue.4
, pp. 992-996
-
-
Georgiev, P.1
Theis, F.2
Cichocki, A.3
-
31
-
-
0033592606
-
Learning the parts of objects by non-negative matrix factorization
-
D.D. Lee and H.S. Seung, "Learning the parts of objects by non-negative matrix factorization", Nature 401 (6755), 788- 791 (1999
-
(1999)
Nature
, vol.401
, Issue.6755
, pp. 788-791
-
-
Lee, D.D.1
Seung, H.S.2
-
33
-
-
85008574320
-
Canonical polyadic decomposition based on a single mode blind source separation
-
G. Zhou and A. Cichocki, "Canonical polyadic decomposition based on a single mode blind source separation", IEEE Signal Processing Letters 19 (8), 523-526 (2012
-
(2012)
IEEE Signal Processing Letters
, vol.19
, Issue.8
, pp. 523-526
-
-
Zhou, G.1
Cichocki, A.2
-
36
-
-
84882338350
-
-
Tech. Rep
-
M. De Vos, D. Nion, S. Van Huffel, and L. De Lathauwer, "A combination of parallel factor and independent component analysis", Tech. Rep., ftp://ftp.esat.kuleuven. ac.be/pub/sista/mdevos/reports/Icacp08.pdf (2008
-
(2008)
A combination of parallel factor and independent component analysis
-
-
De Vos, M.1
Nion, D.2
Van Huffel, S.3
De Lathauwer, L.4
-
37
-
-
77951541075
-
Unbiased group-level statistical assessment of independent component maps by means of automated retrospective matching
-
D. Langers, "Unbiased group-level statistical assessment of independent component maps by means of automated retrospective matching", Human Brain Mapping 31, 727-742 (2010
-
(2010)
Human Brain Mapping
, vol.31
, pp. 727-742
-
-
Langers, D.1
-
38
-
-
84865820552
-
Generalized component analysis and blind source separation methods for analyzing mulitchannel brain signals
-
A. Cichocki, "Generalized component analysis and blind source separation methods for analyzing mulitchannel brain signals", Statistical and Process Models for Cognitive Neuroscience and Aging 1, 201-272 (2007
-
(2007)
Statistical and Process Models for Cognitive Neuroscience and Aging
, vol.1
, pp. 201-272
-
-
Cichocki, A.1
-
40
-
-
33751075906
-
Fast monte carlo algorithms for matrices ii: Computing a low-rank approximation to a matrix
-
P. Drineas, R. Kannan, and M.W. Mahoney, "Fast Monte Carlo algorithms for matrices II: computing a low-rank approximation to a matrix", SIAM J. on Computing 36 (1), 158-183 (2006
-
(2006)
SIAM J. On Computing
, vol.36
, Issue.1
, pp. 158-183
-
-
Drineas, P.1
Kannan, R.2
Mahoney, M.W.3
-
41
-
-
58849086813
-
Cur matrix decompositions for improved data analysis
-
M.W. Mahoney and P. Drineas, "CUR matrix decompositions for improved data analysis", Proc. Nat. Ac. Sciences 106 (3), 697-702 (2009
-
(2009)
Proc. Nat. Ac. Sciences
, vol.106
, Issue.3
, pp. 697-702
-
-
Mahoney, M.W.1
Drineas, P.2
-
42
-
-
77953154158
-
Generalizing the column-row matrix decomposition to multi-way arrays
-
C.F. Caiafa and A. Cichocki, "Generalizing the column-row matrix decomposition to multi-way arrays", Linear Algebra and Its Applications 433 (3), 557-573 (2010
-
(2010)
Linear Algebra and Its Applications
, vol.433
, Issue.3
, pp. 557-573
-
-
Caiafa, C.F.1
Cichocki, A.2
-
43
-
-
33745135758
-
Selecting among three-mode principal component models of different types and complexities: A numerical convex hull based method
-
E. Ceulemans and H.A.L. Kiers, "Selecting among three-mode principal component models of different types and complexities: a numerical convex hull based method", British J. Mathematical and Statistical Psychology 59 (1), 133-150 (2006
-
(2006)
British J. Mathematical and Statistical Psychology
, vol.59
, Issue.1
, pp. 133-150
-
-
Ceulemans, E.1
Kiers, H.A.L.2
-
45
-
-
58049218569
-
Dimension estimation in noisy pca with sure and random matrix theory
-
M.O. Ulfarsson and V. Solo, "Dimension estimation in noisy pca with sure and random matrix theory", IEEE Trans. on Signal Processing 56 (12), 5804-5816 (2008
-
(2008)
IEEE Trans. On Signal Processing
, vol.56
, Issue.12
, pp. 5804-5816
-
-
Ulfarsson, M.O.1
Solo, V.2
-
47
-
-
33750096193
-
Efficient variant of algorithm fastica for independent component analysis attaining the cramer-rao lower bound
-
Z. Koldovsky, P. Tichavsky, and E. Oja, "Efficient variant of algorithm FastICA for independent component analysis attaining the Cramer-Rao lower bound", IEEE Trans. on Neural Networks 17 (5), 1265-1277 (2006
-
(2006)
IEEE Trans. On Neural Networks
, vol.17
, Issue.5
, pp. 1265-1277
-
-
Koldovsky, Z.1
Tichavsky, P.2
Oja, E.3
-
48
-
-
0031078854
-
A blind source separation technique using second-order statistics
-
A. Belouchrani, K. AbedMeraim, and J.F. Cardoso, "A blind source separation technique using second-order statistics", IEEE Trans. on Signal Processing 45 (2), 434-444 (1997
-
(1997)
IEEE Trans. On Signal Processing
, vol.45
, Issue.2
, pp. 434-444
-
-
Belouchrani, A.1
AbedMeraim, K.2
Cardoso, J.F.3
-
50
-
-
79956048185
-
Extended hals algorithm for nonnegative tucker decomposition and its applications for multiway analysis and classification
-
A.H. Phan and A. Cichocki, "Extended HALS algorithm for nonnegative Tucker decomposition and its applications for multiway analysis and classification", Neurocomputing 74 (11), 1956-1969 (2011
-
(2011)
Neurocomputing
, vol.74
, Issue.11
, pp. 1956-1969
-
-
Phan, A.H.1
Cichocki, A.2
-
51
-
-
79957938629
-
Damped newton iterations for nonnegative matrix factorization
-
R. Zdunek, H.A. Phan, and A. Cichocki, "Damped Newton iterations for nonnegative matrix factorization", Australian J. Intelligent Information Processing Systems 12 (1), 16-22 (2010
-
(2010)
Australian J. Intelligent Information Processing Systems
, vol.12
, Issue.1
, pp. 16-22
-
-
Zdunek, R.1
Phan, H.A.2
Cichocki, A.3
-
52
-
-
84861153505
-
Fast nonnegative matrix/tensor factorization based on low-rank approximation
-
G. Zhou, A. Cichocki, and S. Xie, "Fast nonnegative matrix/tensor factorization based on low-rank approximation", IEEE Trans. on Signal Processing 60 (6), 2928-2940 (2012
-
(2012)
IEEE Trans. On Signal Processing
, vol.60
, Issue.6
, pp. 2928-2940
-
-
Zhou, G.1
Cichocki, A.2
Xie, S.3
-
55
-
-
77956978821
-
Image clustering using local discriminant models and global integration
-
Y. Yang, D. Xu, and F. Nie, "Image clustering using local discriminant models and global integration", IEEE Trans. on Image Processing 19 (10), 2761-2773 (2010
-
(2010)
IEEE Trans. On Image Processing
, vol.19
, Issue.10
, pp. 2761-2773
-
-
Yang, Y.1
Xu, D.2
Nie, F.3
-
56
-
-
37549015972
-
Towards an independent braincomputer interface using steady state visual evoked potentials
-
B.Z.Allison, D.J. McFarland, G. Schalk, S.D. Zheng, M. Jackson, and J.R. Wolpaw, "Towards an independent braincomputer interface using steady state visual evoked potentials", Clinical Neurophysiology 119 (2), 399-408 (2008
-
(2008)
Clinical Neurophysiology 119
, Issue.2
, pp. 399-408
-
-
Allison, B.Z.1
McFarland, D.J.2
Schalk, G.3
Zheng, S.D.4
Jackson, M.5
Wolpaw, J.R.6
-
57
-
-
81855190864
-
Multiway canonical correlation analysis for frequency components recognition in ssvep-based bcis
-
Springer, Berlin
-
Y. Zhang, G. Zhou, Q. Zhao, A. Onishi, J. Jin, X. Wang, and A. Cichocki, "Multiway canonical correlation analysis for frequency components recognition in SSVEP-based BCIs", Neural Information Processing, Springer, Berlin, 2011.
-
(2011)
Neural Information Processing
-
-
Zhang, Y.1
Zhou, G.2
Zhao, Q.3
Onishi, A.4
Jin, J.5
Wang, X.6
Cichocki, A.7
-
58
-
-
0042855888
-
A bci-based environmental controller for the motion-disabled
-
X. Gao, D. Xu, M. Cheng, and S. Gao, "A BCI-based environmental controller for the motion-disabled", IEEE Trans. on Neural Systems and Rehabilitation Engineering 11 (2), 137- 140 (2003
-
(2003)
IEEE Trans. On Neural Systems and Rehabilitation Engineering
, vol.11
, Issue.2
, pp. 137-140
-
-
Gao, X.1
Xu, D.2
Cheng, M.3
Gao, S.4
-
59
-
-
40549086264
-
Frequency detection with stability coefficient for steady-state visual evoked potential (ssvep)-based bcis
-
Z. Wu and D. Yao, "Frequency detection with stability coefficient for steady-state visual evoked potential (SSVEP)-based BCIs", J. Neural Engineering 5 (1), 36 (2008).
-
(2008)
J. Neural Engineering
, vol.5
, Issue.1
, pp. 36
-
-
Wu, Z.1
Yao, D.2
|