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The Higher-Order Singular Value Decomposition: Theory and an Application
被引:97
作者
:
Bergqvist, Goran
论文数:
0
引用数:
0
h-index:
0
机构:
Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden
Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden
Bergqvist, Goran
[
1
]
Larsson, Erik G.
论文数:
0
引用数:
0
h-index:
0
机构:
Linkoping Univ, Div Commun Syst, Dept Elect Engn, S-58183 Linkoping, Sweden
Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden
Larsson, Erik G.
[
2
]
机构
:
[1]
Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden
[2]
Linkoping Univ, Div Commun Syst, Dept Elect Engn, S-58183 Linkoping, Sweden
来源
:
IEEE SIGNAL PROCESSING MAGAZINE
|
2010年
/ 27卷
/ 03期
关键词
:
D O I
:
10.1109/MSP.2010.936030
中图分类号
:
TM [电工技术];
TN [电子技术、通信技术];
学科分类号
:
0808 ;
0809 ;
摘要
:
引用
收藏
页码:151 / 154
页数:4
相关论文
共 9 条
[1]
[Anonymous], 1989, Multiway data analysis
[2]
Generic and typical ranks of multi-way arrays
[J].
Comon, P.
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0
引用数:
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0
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CNRS, Lab 13S, F-06903 Sophia Antipolis, France
CNRS, Lab 13S, F-06903 Sophia Antipolis, France
Comon, P.
;
ten Berge, J. M. F.
论文数:
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引用数:
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Univ Groningen, NL-9712 TS Groningen, Netherlands
CNRS, Lab 13S, F-06903 Sophia Antipolis, France
ten Berge, J. M. F.
;
De Lathauwer, L.
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引用数:
0
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0
机构:
Katholieke Univ Leuven, EE Dept, ESAT, B-3001 Louvain, Belgium
Sci Engn & Technol Grp, B-8500 Kortrijk, Belgium
CNRS, Lab 13S, F-06903 Sophia Antipolis, France
De Lathauwer, L.
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Lab ETIS, F-95014 Cergy Pontoise, France
CNRS, Lab 13S, F-06903 Sophia Antipolis, France
Castaing, J.
.
LINEAR ALGEBRA AND ITS APPLICATIONS,
2009,
430
(11-12)
:2997
-3007
[3]
A multilinear singular value decomposition
[J].
De Lathauwer, L
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Katholieke Univ Leuven, EE Dep, ESAT SISTA COSIC, B-3001 Heverlee, Belgium
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;
Vandewalle, J
论文数:
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引用数:
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Katholieke Univ Leuven, EE Dep, ESAT SISTA COSIC, B-3001 Heverlee, Belgium
Katholieke Univ Leuven, EE Dep, ESAT SISTA COSIC, B-3001 Heverlee, Belgium
Vandewalle, J
.
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS,
2000,
21
(04)
:1253
-1278
[4]
TENSOR RANK AND THE ILL-POSEDNESS OF THE BEST LOW-RANK APPROXIMATION PROBLEM
[J].
de Silva, Vin
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0
h-index:
0
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Pomona Coll, Dept Math, Claremont, CA 91711 USA
Stanford Univ, Inst Computat & Math Engn, Stanford, CA 94305 USA
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;
Lim, Lek-Heng
论文数:
0
引用数:
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Stanford Univ, Inst Computat & Math Engn, Stanford, CA 94305 USA
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.
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Tensor Decompositions and Applications
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Sandia Natl Labs, Math Informat & Decis Sci Dept, Livermore, CA 94551 USA
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;
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机构:
Sandia Natl Labs, Dept Informat & Comp Sci, Albuquerque, NM 87185 USA
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.
SIAM REVIEW,
2009,
51
(03)
:455
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[6]
A Block Component Model-Based Blind DS-CDMA Receiver
[J].
Nion, Dirnitri
论文数:
0
引用数:
0
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机构:
Tech Univ Crete, Telecommun Div, Elect & Comp Engn Dept, Iraklion 73100, Greece
Tech Univ Crete, Telecommun Div, Elect & Comp Engn Dept, Iraklion 73100, Greece
Nion, Dirnitri
;
De Lathauwer, Lieven
论文数:
0
引用数:
0
h-index:
0
机构:
Katholieke Univ Leuven, Res Grp ESAT SCD, B-3001 Louvain, Belgium
Tech Univ Crete, Telecommun Div, Elect & Comp Engn Dept, Iraklion 73100, Greece
De Lathauwer, Lieven
.
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2008,
56
(11)
:5567
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[7]
Handwritten digit classification using higher order singular value decomposition
[J].
Savas, Berkant
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0
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;
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Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden
Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden
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.
PATTERN RECOGNITION,
2007,
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:993
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[8]
Parallel factor analysis in sensor array processing
[J].
Sidiropoulos, ND
论文数:
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Univ Minnesota, Dept Elect & Comp Engn, Minneapolis, MN 55455 USA
Univ Virginia, Dept Elect Engn, Charlottesville, VA 22903 USA
Sidiropoulos, ND
;
Bro, R
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引用数:
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Bro, R
;
Giannakis, GB
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:2377
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Multilinear (Tensor) image synthesis, analysis, and recognition
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MIT, MIT Media Lab, Cambridge, MA 02139 USA
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;
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引用数:
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Terzopoulos, Demetri
.
IEEE SIGNAL PROCESSING MAGAZINE,
2007,
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(06)
:118
-123
←
1
→
共 9 条
[1]
[Anonymous], 1989, Multiway data analysis
[2]
Generic and typical ranks of multi-way arrays
[J].
Comon, P.
论文数:
0
引用数:
0
h-index:
0
机构:
CNRS, Lab 13S, F-06903 Sophia Antipolis, France
CNRS, Lab 13S, F-06903 Sophia Antipolis, France
Comon, P.
;
ten Berge, J. M. F.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Groningen, NL-9712 TS Groningen, Netherlands
CNRS, Lab 13S, F-06903 Sophia Antipolis, France
ten Berge, J. M. F.
;
De Lathauwer, L.
论文数:
0
引用数:
0
h-index:
0
机构:
Katholieke Univ Leuven, EE Dept, ESAT, B-3001 Louvain, Belgium
Sci Engn & Technol Grp, B-8500 Kortrijk, Belgium
CNRS, Lab 13S, F-06903 Sophia Antipolis, France
De Lathauwer, L.
;
Castaing, J.
论文数:
0
引用数:
0
h-index:
0
机构:
Lab ETIS, F-95014 Cergy Pontoise, France
CNRS, Lab 13S, F-06903 Sophia Antipolis, France
Castaing, J.
.
LINEAR ALGEBRA AND ITS APPLICATIONS,
2009,
430
(11-12)
:2997
-3007
[3]
A multilinear singular value decomposition
[J].
De Lathauwer, L
论文数:
0
引用数:
0
h-index:
0
机构:
Katholieke Univ Leuven, EE Dep, ESAT SISTA COSIC, B-3001 Heverlee, Belgium
Katholieke Univ Leuven, EE Dep, ESAT SISTA COSIC, B-3001 Heverlee, Belgium
De Lathauwer, L
;
De Moor, B
论文数:
0
引用数:
0
h-index:
0
机构:
Katholieke Univ Leuven, EE Dep, ESAT SISTA COSIC, B-3001 Heverlee, Belgium
Katholieke Univ Leuven, EE Dep, ESAT SISTA COSIC, B-3001 Heverlee, Belgium
De Moor, B
;
Vandewalle, J
论文数:
0
引用数:
0
h-index:
0
机构:
Katholieke Univ Leuven, EE Dep, ESAT SISTA COSIC, B-3001 Heverlee, Belgium
Katholieke Univ Leuven, EE Dep, ESAT SISTA COSIC, B-3001 Heverlee, Belgium
Vandewalle, J
.
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS,
2000,
21
(04)
:1253
-1278
[4]
TENSOR RANK AND THE ILL-POSEDNESS OF THE BEST LOW-RANK APPROXIMATION PROBLEM
[J].
de Silva, Vin
论文数:
0
引用数:
0
h-index:
0
机构:
Pomona Coll, Dept Math, Claremont, CA 91711 USA
Stanford Univ, Inst Computat & Math Engn, Stanford, CA 94305 USA
de Silva, Vin
;
Lim, Lek-Heng
论文数:
0
引用数:
0
h-index:
0
机构:
Stanford Univ, Inst Computat & Math Engn, Stanford, CA 94305 USA
Stanford Univ, Inst Computat & Math Engn, Stanford, CA 94305 USA
Lim, Lek-Heng
.
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS,
2008,
30
(03)
:1084
-1127
[5]
Tensor Decompositions and Applications
[J].
Kolda, Tamara G.
论文数:
0
引用数:
0
h-index:
0
机构:
Sandia Natl Labs, Math Informat & Decis Sci Dept, Livermore, CA 94551 USA
Sandia Natl Labs, Math Informat & Decis Sci Dept, Livermore, CA 94551 USA
Kolda, Tamara G.
;
Bader, Brett W.
论文数:
0
引用数:
0
h-index:
0
机构:
Sandia Natl Labs, Dept Informat & Comp Sci, Albuquerque, NM 87185 USA
Sandia Natl Labs, Math Informat & Decis Sci Dept, Livermore, CA 94551 USA
Bader, Brett W.
.
SIAM REVIEW,
2009,
51
(03)
:455
-500
[6]
A Block Component Model-Based Blind DS-CDMA Receiver
[J].
Nion, Dirnitri
论文数:
0
引用数:
0
h-index:
0
机构:
Tech Univ Crete, Telecommun Div, Elect & Comp Engn Dept, Iraklion 73100, Greece
Tech Univ Crete, Telecommun Div, Elect & Comp Engn Dept, Iraklion 73100, Greece
Nion, Dirnitri
;
De Lathauwer, Lieven
论文数:
0
引用数:
0
h-index:
0
机构:
Katholieke Univ Leuven, Res Grp ESAT SCD, B-3001 Louvain, Belgium
Tech Univ Crete, Telecommun Div, Elect & Comp Engn Dept, Iraklion 73100, Greece
De Lathauwer, Lieven
.
IEEE TRANSACTIONS ON SIGNAL PROCESSING,
2008,
56
(11)
:5567
-5579
[7]
Handwritten digit classification using higher order singular value decomposition
[J].
Savas, Berkant
论文数:
0
引用数:
0
h-index:
0
机构:
Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden
Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden
Savas, Berkant
;
Elden, Lars
论文数:
0
引用数:
0
h-index:
0
机构:
Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden
Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden
Elden, Lars
.
PATTERN RECOGNITION,
2007,
40
(03)
:993
-1003
[8]
Parallel factor analysis in sensor array processing
[J].
Sidiropoulos, ND
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Minnesota, Dept Elect & Comp Engn, Minneapolis, MN 55455 USA
Univ Virginia, Dept Elect Engn, Charlottesville, VA 22903 USA
Sidiropoulos, ND
;
Bro, R
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Virginia, Dept Elect Engn, Charlottesville, VA 22903 USA
Bro, R
;
Giannakis, GB
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Virginia, Dept Elect Engn, Charlottesville, VA 22903 USA
Giannakis, GB
.
IEEE TRANSACTIONS ON SIGNAL PROCESSING,
2000,
48
(08)
:2377
-2388
[9]
Multilinear (Tensor) image synthesis, analysis, and recognition
[J].
Vasilescu, M. Alex O.
论文数:
0
引用数:
0
h-index:
0
机构:
MIT, MIT Media Lab, Cambridge, MA 02139 USA
MIT, MIT Media Lab, Cambridge, MA 02139 USA
Vasilescu, M. Alex O.
;
Terzopoulos, Demetri
论文数:
0
引用数:
0
h-index:
0
机构:
MIT, MIT Media Lab, Cambridge, MA 02139 USA
Terzopoulos, Demetri
.
IEEE SIGNAL PROCESSING MAGAZINE,
2007,
24
(06)
:118
-123
←
1
→