-
1
-
-
0019635684
-
Strategies for analyzing data from video fiuoromatric monitoring of liquid chromatographic effluents
-
C.J. APPELLOF AND E.R. DAVIDSON, Strategies for analyzing data from video fiuoromatric monitoring of liquid chromatographic effluents, Anal. Chemistry, 53 (1981), pp. 2053-2056.
-
(1981)
Anal. Chemistry
, vol.53
, pp. 2053-2056
-
-
APPELLOF, C.J.1
DAVIDSON, E.R.2
-
2
-
-
0036679114
-
Numerical operator calculus in higher dimensions
-
G. BEYLKIN AND M.J. MOHLENKAMP, Numerical operator calculus in higher dimensions, Proc. Natl. Acad. Sci. USA, 99 (2002), pp. 10246-10251.
-
(2002)
Proc. Natl. Acad. Sci. USA
, vol.99
, pp. 10246-10251
-
-
BEYLKIN, G.1
MOHLENKAMP, M.J.2
-
3
-
-
27844496824
-
Algorithms for numerical analysis in high dimensions
-
G. BEYLKIN AND M.J. MOHLENKAMP, Algorithms for numerical analysis in high dimensions, SIAM J. Sci. Comput., 26 (2005), pp. 2133-2159.
-
(2005)
SIAM J. Sci. Comput
, vol.26
, pp. 2133-2159
-
-
BEYLKIN, G.1
MOHLENKAMP, M.J.2
-
4
-
-
33644604346
-
The generalized eigenvalue problem for nonsquare pencils using a minimal perturbation approach
-
G. BOUTRY, M. ELAD, G.H. GOLUB, AND P. MILANFAR, The generalized eigenvalue problem for nonsquare pencils using a minimal perturbation approach, SIAM J. Matrix Anal. Appl., 27 (2005), pp. 582-601.
-
(2005)
SIAM J. Matrix Anal. Appl
, vol.27
, pp. 582-601
-
-
BOUTRY, G.1
ELAD, M.2
GOLUB, G.H.3
MILANFAR, P.4
-
5
-
-
0030813663
-
PARAFAC. Tutorial and Applications
-
R. BRO, PARAFAC. Tutorial and Applications, Chemom. Intell. Lab. Syst., 38 (1997), pp. 149-171.
-
(1997)
Chemom. Intell. Lab. Syst
, vol.38
, pp. 149-171
-
-
BRO, R.1
-
6
-
-
0002070552
-
Resolution of multicomponent fluorescent mixtures by analysis of the excitation-emission-frequency array
-
D. BURDICK, X. TU, L. MCGOWN, AND D. MILLICAN, Resolution of multicomponent fluorescent mixtures by analysis of the excitation-emission-frequency array, J. Chemometrics, 4 (1990), pp. 15-28.
-
(1990)
J. Chemometrics
, vol.4
, pp. 15-28
-
-
BURDICK, D.1
TU, X.2
MCGOWN, L.3
MILLICAN, D.4
-
7
-
-
0000592482
-
Analysis of individual differences in multidimensional scaling via an N-way generalization of "Eckart-Young" decomposition
-
J. CARROLL AND J. CHANG, Analysis of individual differences in multidimensional scaling via an N-way generalization of "Eckart-Young" decomposition, Psychometrika, 9 (1970), pp. 267-283.
-
(1970)
Psychometrika
, vol.9
, pp. 267-283
-
-
CARROLL, J.1
CHANG, J.2
-
8
-
-
0028416938
-
Independent component analysis, a new concept?
-
P. COMON, Independent component analysis, a new concept? Signal Process., 36 (1994), pp. 287-314.
-
(1994)
Signal Process
, vol.36
, pp. 287-314
-
-
COMON, P.1
-
9
-
-
0030234706
-
Decomposition of quantics in sums of powers of linear forms
-
P. COMON AND B. MOURRAIN, Decomposition of quantics in sums of powers of linear forms, Signal Process., 53 (1996), pp. 93-108.
-
(1996)
Signal Process
, vol.53
, pp. 93-108
-
-
COMON, P.1
MOURRAIN, B.2
-
10
-
-
64749087756
-
Symmetric tensors and symmetric tensor rank
-
P. COMON, G. GOLUB, L.-H. LIM, AND B. MOURRAIN, Symmetric tensors and symmetric tensor rank, SIAM J. Matrix Anal. Appl., 30 (2008), pp. 1254-1279.
-
(2008)
SIAM J. Matrix Anal. Appl
, vol.30
, pp. 1254-1279
-
-
COMON, P.1
GOLUB, G.2
LIM, L.-H.3
MOURRAIN, B.4
-
11
-
-
67651082671
-
-
L. DE LATHAUWER, Signal Processing Based on Multilinear Algebra, Ph.D. thesis, K.U.Leuven, Belgium, 1997.
-
L. DE LATHAUWER, Signal Processing Based on Multilinear Algebra, Ph.D. thesis, K.U.Leuven, Belgium, 1997.
-
-
-
-
12
-
-
0034144758
-
A multilinear singular value decomposition
-
L. DE LATHAUWER, B. DE MOOR, AND J. VANDEWALLE, A multilinear singular value decomposition, SIAM J. Matrix Anal. Appl., 21 (2000), pp. 1253-1278.
-
(2000)
SIAM J. Matrix Anal. Appl
, vol.21
, pp. 1253-1278
-
-
DE LATHAUWER, L.1
DE MOOR, B.2
VANDEWALLE, J.3
-
14
-
-
0033653097
-
An introduction to independent component analysis
-
L. DE LATHAUWER, B. DE MOOR, AND J. VANDEWALLE, An introduction to independent component analysis, J. Chemometrics, 14 (2000), pp. 123-149.
-
(2000)
J. Chemometrics
, vol.14
, pp. 123-149
-
-
DE LATHAUWER, L.1
DE MOOR, B.2
VANDEWALLE, J.3
-
16
-
-
17444379662
-
Computation of the Canonical Decomposition by means of a simultaneous generalized Schur decompositition
-
L. DE LATHAUWER, B. DE MOOR, AND J. VANDEWALLE, Computation of the Canonical Decomposition by means of a simultaneous generalized Schur decompositition, SIAM J. Matrix Anal. Appl., 26 (2004), pp. 295-327.
-
(2004)
SIAM J. Matrix Anal. Appl
, vol.26
, pp. 295-327
-
-
DE LATHAUWER, L.1
DE MOOR, B.2
VANDEWALLE, J.3
-
17
-
-
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. Matrix Anal. Appl., 28 (2006), pp. 642-666.
-
(2006)
SIAM J. Matrix Anal. Appl
, vol.28
, pp. 642-666
-
-
DE LATHAUWER, L.1
-
18
-
-
33750178584
-
Tensor-based techniques for the blind separation of DS-CDMA signals
-
L. DE LATHAUWER AND J. CASTAING, Tensor-based techniques for the blind separation of DS-CDMA signals, Signal Process., 87 (2007), pp. 322-336.
-
(2007)
Signal Process
, vol.87
, pp. 322-336
-
-
DE LATHAUWER, L.1
CASTAING, J.2
-
19
-
-
54949113878
-
Decompositions of a higher-order tensor in block terms-Part I: Lemmas for partitioned matrices
-
L. DE LATHAUWER, Decompositions of a higher-order tensor in block terms-Part I: Lemmas for partitioned matrices, SIAM J. Matrix Anal. Appl., 30 (2008), pp. 1022-1032.
-
(2008)
SIAM J. Matrix Anal. Appl
, vol.30
, pp. 1022-1032
-
-
DE LATHAUWER, L.1
-
20
-
-
54949129274
-
Decompositions of a higher-order tensor in block terms-Part III: Alternating Least Squares algorithms
-
L. DE LATHAUWER AND D. NION, Decompositions of a higher-order tensor in block terms-Part III: Alternating Least Squares algorithms, SIAM J. Matrix Anal. Appl., 30 (2008), pp. 1067-1083.
-
(2008)
SIAM J. Matrix Anal. Appl
, vol.30
, pp. 1067-1083
-
-
DE LATHAUWER, L.1
NION, D.2
-
21
-
-
41849092678
-
Blind deconvolution of DS-CDMA Signals by means of decomposition in rank-(l, L, L) terms
-
L. DE LATHAUWER AND A. DE BAYNAST, Blind deconvolution of DS-CDMA Signals by means of decomposition in rank-(l, L, L) terms, IEEE Trans. Signal Process., 56 (2008), pp. 1562-1571.
-
(2008)
IEEE Trans. Signal Process
, vol.56
, pp. 1562-1571
-
-
DE LATHAUWER, L.1
DE BAYNAST, A.2
-
22
-
-
3142728626
-
Shape from moments-an estimation theory perspective
-
M. ELAD, P. MILANFAR, AND G.H. GOLUB, Shape from moments-an estimation theory perspective, IEEE Trans. Signal Process., 52 (2004), pp. 1814-1829.
-
(2004)
IEEE Trans. Signal Process
, vol.52
, pp. 1814-1829
-
-
ELAD, M.1
MILANFAR, P.2
GOLUB, G.H.3
-
23
-
-
0004236492
-
-
3rd ed, Johns Hopkins University Press, Baltimore, MD
-
G.H. GOLUB AND C.F. VAN LOAN, Matrix Computations, 3rd ed., Johns Hopkins University Press, Baltimore, MD, 1996.
-
(1996)
Matrix Computations
-
-
GOLUB, G.H.1
VAN LOAN, C.F.2
-
24
-
-
21244436795
-
Hierarchical Kronecker tensor-product approximations
-
W. HACKBUSH, B.N. KHOROMSKIJ, AND E. TYRTYSHNIKOV, Hierarchical Kronecker tensor-product approximations, J. Numer. Math., 13 (2005), pp. 119-156.
-
(2005)
J. Numer. Math
, vol.13
, pp. 119-156
-
-
HACKBUSH, W.1
KHOROMSKIJ, B.N.2
TYRTYSHNIKOV, E.3
-
25
-
-
36248941211
-
Tensor-product approximation to operators and functions in high dimension
-
W. HACKBUSH AND B.N. KHOROMSKIJ, Tensor-product approximation to operators and functions in high dimension, J. Complexity, 23 (2007), pp. 697-714.
-
(2007)
J. Complexity
, vol.23
, pp. 697-714
-
-
HACKBUSH, W.1
KHOROMSKIJ, B.N.2
-
27
-
-
85162707890
-
The expression of a tensor or a polyadic as a sum of products
-
F.L. HITCHCOCK, The expression of a tensor or a polyadic as a sum of products, J. Math. Phys., 6 (1927), pp. 164-189.
-
(1927)
J. Math. Phys
, vol.6
, pp. 164-189
-
-
HITCHCOCK, F.L.1
-
28
-
-
85163188929
-
Multiple invariants and generalized rank of a p-way matrix or tensor
-
F.L. HITCHCOCK, Multiple invariants and generalized rank of a p-way matrix or tensor, J. Math. Phys., 7 (1927), pp. 39-79.
-
(1927)
J. Math. Phys
, vol.7
, pp. 39-79
-
-
HITCHCOCK, F.L.1
-
29
-
-
0003905759
-
-
John Wiley, New York
-
A. HYVÄRINEN, J. KARHUNEN, AND E. OJA, Independent Component Analysis, John Wiley, New York, 2001.
-
(2001)
Independent Component Analysis
-
-
HYVÄRINEN, A.1
KARHUNEN, J.2
OJA, E.3
-
30
-
-
3042575937
-
An addendum to Kronecker's theory of pencils
-
J. JA'JA', An addendum to Kronecker's theory of pencils, SIAM J. Appl. Math. 37 (1979), pp. 700-712.
-
(1979)
SIAM J. Appl. Math
, vol.37
, pp. 700-712
-
-
JA'JA', J.1
-
31
-
-
4344616103
-
Kruskal's permutation lemma and the identification of CANDECOMP/PARAFAC and bilinear models with constant modulus constraints
-
T. JIANG AND N.D. SIDIROPOULOS, Kruskal's permutation lemma and the identification of CANDECOMP/PARAFAC and bilinear models with constant modulus constraints, IEEE Trans. Signal Process., 52 (2004), pp. 2625-2636.
-
(2004)
IEEE Trans. Signal Process
, vol.52
, pp. 2625-2636
-
-
JIANG, T.1
SIDIROPOULOS, N.D.2
-
33
-
-
34447513756
-
LOW rank Tucker-type tensor approximation to classical potentials
-
B.N. KHOROMSKIJ AND V. KHOROMSKAIA, LOW rank Tucker-type tensor approximation to classical potentials, Central European J. Math., 5 (2007), pp. 523-550.
-
(2007)
Central European J. Math
, vol.5
, pp. 523-550
-
-
KHOROMSKIJ, B.N.1
KHOROMSKAIA, V.2
-
34
-
-
0033646780
-
Towards a standardized notation and terminology in multiway analysis, J
-
H. KIERS, Towards a standardized notation and terminology in multiway analysis, J. Chemo-metrics, 14 (2000), pp. 105-122.
-
(2000)
Chemo-metrics
, vol.14
, pp. 105-122
-
-
KIERS, H.1
-
35
-
-
0036055687
-
Orthogonal tensor decompositions
-
T.G. KOLDA, Orthogonal tensor decompositions, SIAM J. Matrix Anal. Appl., 23 (2001), pp. 243-255.
-
(2001)
SIAM J. Matrix Anal. Appl
, vol.23
, pp. 243-255
-
-
KOLDA, T.G.1
-
36
-
-
0042915998
-
A counterexample to the possibility of an extension of the Eckart-Young low-rank approximation theorem for the orthogonal rank tensor decomposition
-
T.G. KOLDA, A counterexample to the possibility of an extension of the Eckart-Young low-rank approximation theorem for the orthogonal rank tensor decomposition, SIAM J. Matrix Analysis, 24 (2003), pp. 762-767.
-
(2003)
SIAM J. Matrix Analysis
, vol.24
, pp. 762-767
-
-
KOLDA, T.G.1
-
38
-
-
48749101457
-
Three-way arrays: Rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
-
J.B. KRUSKAL, Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics, Linear Algebra Appl., 18 (1977), pp. 95-138.
-
(1977)
Linear Algebra Appl
, vol.18
, pp. 95-138
-
-
KRUSKAL, J.B.1
-
39
-
-
0001837391
-
Rank, decomposition, and uniqueness for Z-way and N-way arrays
-
R. Coppi and S. Bolasco, eds, North-Holland, Amsterdam
-
J.B. KRUSKAL, Rank, decomposition, and uniqueness for Z-way and N-way arrays, in Multiway Data Analysis, R. Coppi and S. Bolasco, eds., North-Holland, Amsterdam, 1989, pp. 7-18.
-
(1989)
Multiway Data Analysis
, pp. 7-18
-
-
KRUSKAL, J.B.1
-
40
-
-
0000611940
-
A decomposition for three-way arrays
-
S.E. LEURGANS, R.T. ROSS, AND R.B. ABEL, A decomposition for three-way arrays, SIAM J. Matrix Anal. Appl., 14 (1993), pp. 1064-1083.
-
(1993)
SIAM J. Matrix Anal. Appl
, vol.14
, pp. 1064-1083
-
-
LEURGANS, S.E.1
ROSS, R.T.2
ABEL, R.B.3
-
41
-
-
33846606151
-
Singular values and eigenvalues of tensors: A variational approach
-
Mexico
-
L.-H. LIM, Singular values and eigenvalues of tensors: a variational approach, Proceedings of the First IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP 2005), Puerto Vallarta, Jalisco State, Mexico, 2005, pp. 129-132.
-
(2005)
Proceedings of the First IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP 2005), Puerto Vallarta, Jalisco State
, pp. 129-132
-
-
LIM, L.-H.1
-
42
-
-
67349278428
-
A Jacobi-type method for computing orthogonal tensor decompositions
-
C.D. MORAVITZ MARTIN AND C.F. VAN LOAN, A Jacobi-type method for computing orthogonal tensor decompositions, SIAM J. Matrix Anal. Appl., 30 (2008), pp. 1219-1232.
-
(2008)
SIAM J. Matrix Anal. Appl
, vol.30
, pp. 1219-1232
-
-
MORAVITZ MARTIN, C.D.1
VAN LOAN, C.F.2
-
43
-
-
33947679333
-
A block factor analysis based receiver for blind multi-user access in wireless communications
-
Toulouse, France
-
D. NION AND L. DE LATHAUWER, A block factor analysis based receiver for blind multi-user access in wireless communications, in Proceedings of the 2006 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2006), Toulouse, France, 2006, pp. 825-828.
-
(2006)
Proceedings of the 2006 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2006)
, pp. 825-828
-
-
NION, D.1
DE LATHAUWER, L.2
-
47
-
-
85190314196
-
Tensorial resolution: A direct trilinear decomposition, 3
-
E. SANCHEZ AND B.R. KOWALSKI, Tensorial resolution: A direct trilinear decomposition, 3. Chemometrics, 4 (1990), pp. 29-45.
-
(1990)
Chemometrics
, vol.4
, pp. 29-45
-
-
SANCHEZ, E.1
KOWALSKI, B.R.2
-
48
-
-
0343327866
-
Component models for three-way data: An alternating least squares algorithm with optimal scaling features
-
R. SANDS AND F. YOUNG, Component models for three-way data: An alternating least squares algorithm with optimal scaling features, Psychometrika, 45 (1980), pp. 39-67.
-
(1980)
Psychometrika
, vol.45
, pp. 39-67
-
-
SANDS, R.1
YOUNG, F.2
-
49
-
-
0033901839
-
Blind PARAFAC receivers for DS-CDMA systems
-
N. SIDIROPOULOS, G. GIANNAKIS, AND R. BRO, Blind PARAFAC receivers for DS-CDMA systems, IEEE Trans. Signal Process., 48 (2000), pp. 810-823.
-
(2000)
IEEE Trans. Signal Process
, vol.48
, pp. 810-823
-
-
SIDIROPOULOS, N.1
GIANNAKIS, G.2
BRO, R.3
-
50
-
-
0034250083
-
Parallel factor analysis in sensor array processing
-
N. SIDIROPOULOS, R. BRO, AND G. GIANNAKIS, Parallel factor analysis in sensor array processing, IEEE Trans. Signal Process., 48 (2000), pp. 2377-2388.
-
(2000)
IEEE Trans. Signal Process
, vol.48
, pp. 2377-2388
-
-
SIDIROPOULOS, N.1
BRO, R.2
GIANNAKIS, G.3
-
51
-
-
0033653594
-
On the uniqueness of multilinear decomposition of N-way arrays
-
N. SIDIROPOULOS AND R. BRO, On the uniqueness of multilinear decomposition of N-way arrays, J. Chemometrics, 14 (2000), pp. 229-239.
-
(2000)
J. Chemometrics
, vol.14
, pp. 229-239
-
-
SIDIROPOULOS, N.1
BRO, R.2
-
52
-
-
0035281368
-
Blind multiuser detection in W-CDMA systems with large delay spread
-
N. SIDIROPOULOS AND G.Z. DIMIĆ, Blind multiuser detection in W-CDMA systems with large delay spread, IEEE Signal Process. Letters, 8 (2001), pp. 87-89.
-
(2001)
IEEE Signal Process. Letters
, vol.8
, pp. 87-89
-
-
SIDIROPOULOS, N.1
DIMIĆ, G.Z.2
-
53
-
-
19344375707
-
-
John Wiley, Chichester, UK
-
A. SMILDE, R. BRO, AND P. GELADI, Multi-way Analysis. Applications in the Chemical Sciences, John Wiley, Chichester, UK, 2004.
-
(2004)
Multi-way Analysis. Applications in the Chemical Sciences
-
-
SMILDE, A.1
BRO, R.2
GELADI, P.3
-
54
-
-
33750991900
-
On Kruskal's uniqueness condition for the Cande-comp/Parafac decomposition
-
A. STEGEMAN AND N.D. SIDIROPOULOS, On Kruskal's uniqueness condition for the Cande-comp/Parafac decomposition, Linear Algebra Appl., 420 (2007), pp. 540-552.
-
(2007)
Linear Algebra Appl
, vol.420
, pp. 540-552
-
-
STEGEMAN, A.1
SIDIROPOULOS, N.D.2
-
55
-
-
0041595584
-
Simplicity of core arrays in three-way principal component analysis and the typical rank of p × q × 2 arrays
-
J.M.F. TEN BERGE AND H.A.L. KIERS, Simplicity of core arrays in three-way principal component analysis and the typical rank of p × q × 2 arrays, Linear Algebra Appl., 294 (1999), pp. 169-179.
-
(1999)
Linear Algebra Appl
, vol.294
, pp. 169-179
-
-
TEN BERGE, J.M.F.1
KIERS, H.A.L.2
-
56
-
-
0034559666
-
The typical rank of tall three-way arrays
-
J.M.F. TEN BERGE, The typical rank of tall three-way arrays, Psychometrika, 65 (2000), pp. 525-532.
-
(2000)
Psychometrika
, vol.65
, pp. 525-532
-
-
TEN BERGE, J.M.F.1
-
57
-
-
3142774353
-
Typical rank and indscal dimensionality for symmetric three-way arrays of order I × 2 × 2 or I × 3 × 3
-
J.M.F. TEN BERGE, N.D. SIDIROPOULOS, AND R. ROCCI, Typical rank and indscal dimensionality for symmetric three-way arrays of order I × 2 × 2 or I × 3 × 3, Linear Algebra Appl., 388 (2004), pp. 363-377.
-
(2004)
Linear Algebra Appl
, vol.388
, pp. 363-377
-
-
TEN BERGE, J.M.F.1
SIDIROPOULOS, N.D.2
ROCCI, R.3
-
58
-
-
2642560409
-
Simplicity and typical rank of three-way arrays, with applications to Tucker-Z analysis with simple cores
-
J.M.F. TEN BERGE, Simplicity and typical rank of three-way arrays, with applications to Tucker-Z analysis with simple cores, J. Chem., 18 (2004), pp. 17-21.
-
(2004)
J. Chem
, vol.18
, pp. 17-21
-
-
TEN BERGE, J.M.F.1
-
59
-
-
0000666371
-
The extension of factor analysis to three-dimensional matrices
-
H. Gulliksen and N. Frederiksen, eds, Holt, Rinehart & Winston, New York
-
L.R. TUCKER, The extension of factor analysis to three-dimensional matrices, in Contributions to Mathematical Psychology, H. Gulliksen and N. Frederiksen, eds., Holt, Rinehart & Winston, New York, 1964, pp. 109-127.
-
(1964)
Contributions to Mathematical Psychology
, pp. 109-127
-
-
TUCKER, L.R.1
-
60
-
-
0013953617
-
Some mathematical notes on three-mode factor analysis
-
L.R. TUCKER, Some mathematical notes on three-mode factor analysis, Psychometrika, 31 (1966), pp. 279-311.
-
(1966)
Psychometrika
, vol.31
, pp. 279-311
-
-
TUCKER, L.R.1
-
61
-
-
0036056838
-
Rank-one approximation to high order tensors
-
T. ZHANG AND G.H. GOLUB, Rank-one approximation to high order tensors, SIAM J. Matrix Anal. Appl., 23 (2001), pp. 534-550.
-
(2001)
SIAM J. Matrix Anal. Appl
, vol.23
, pp. 534-550
-
-
ZHANG, T.1
GOLUB, G.H.2
|