메뉴 건너뛰기




Volumn 93, Issue 9, 2013, Pages 2722-2738

A semi-algebraic framework for approximate CP decompositions via simultaneous matrix diagonalizations (SECSI)

Author keywords

Canonical decomposition; PARAFAC; Simultaneous matrix diagonalization; Tensor decomposition

Indexed keywords

CANONICAL DECOMPOSITION; HEURISTIC SELECTIONS; MATRIX DIAGONALIZATION; MULTIPLE ESTIMATES; PARAFAC; RELIABLE ESTIMATES; STATE-OF-THE-ART ALGORITHMS; TENSOR DECOMPOSITION;

EID: 84877995250     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2013.02.016     Document Type: Article
Times cited : (65)

References (48)
  • 1
    • 46649109335 scopus 로고    scopus 로고
    • Higher-order SVD based subspace estimation to improve the parameter estimation accuracy in multi-dimensional harmonic retrieval problems
    • M. Haardt, F. Roemer, and G. Del Galdo Higher-order SVD based subspace estimation to improve the parameter estimation accuracy in multi-dimensional harmonic retrieval problems IEEE Transactions on Signal Processing 56 July 2008 3198 3213
    • (2008) IEEE Transactions on Signal Processing , vol.56 , Issue.JULY , pp. 3198-3213
    • Haardt, M.1    Roemer, F.2    Del Galdo, G.3
  • 2
    • 34250499792 scopus 로고
    • Analysis of individual differences in multidimensional scaling via an N-way generalization of 'Eckart-Young' decomposition
    • J.D. Carroll, and J.J. Chang Analysis of individual differences in multidimensional scaling via an N-way generalization of 'Eckart-Young' decomposition Psychometrika 35 1970 283 319
    • (1970) Psychometrika , vol.35 , pp. 283-319
    • Carroll, J.D.1    Chang, J.J.2
  • 3
    • 0002740437 scopus 로고
    • Foundations of the PARAFAC procedure models and conditions for an explanatory multi-modal factor analysis
    • R.A. Harshman Foundations of the PARAFAC procedure models and conditions for an explanatory multi-modal factor analysis UCLA Working Papers in Phonetics 16 1970 1 84
    • (1970) UCLA Working Papers in Phonetics , vol.16 , pp. 1-84
    • Harshman, R.A.1
  • 4
    • 68649096448 scopus 로고    scopus 로고
    • Tensor decompositions and applications
    • T.G. Kolda, and B.W. Bader Tensor decompositions and applications SIAM Review 51 September (3) 2009
    • (2009) SIAM Review , vol.51 , Issue.SEPTEMBER 3
    • Kolda, T.G.1    Bader, B.W.2
  • 5
    • 85190314196 scopus 로고
    • Tensorial resolution a direct trilinear decomposition
    • E. Sanchez, and B.R. Kowalski Tensorial resolution a direct trilinear decomposition Journal of Chemometrics 4 1990 29 45
    • (1990) Journal of Chemometrics , vol.4 , pp. 29-45
    • Sanchez, E.1    Kowalski, B.R.2
  • 10
    • 79951898361 scopus 로고    scopus 로고
    • A scalable optimization approach for fitting canonical tensor decompositions
    • E. Acar, D.M. Dunlavy, and T.G. Kolda A scalable optimization approach for fitting canonical tensor decompositions Journal of Chemometrics 25 February (2) 2011 67 86
    • (2011) Journal of Chemometrics , vol.25 , Issue.FEBRUARY 2 , pp. 67-86
    • Acar, E.1    Dunlavy, D.M.2    Kolda, T.G.3
  • 11
    • 70349656252 scopus 로고    scopus 로고
    • Tensor decompositions alternating least squares and other tales
    • P. Comon, X. Luciani, and A.L.F. de Almeida Tensor decompositions alternating least squares and other tales Journal of Chemometrics 23 August 2009 393 405
    • (2009) Journal of Chemometrics , vol.23 , Issue.AUGUST , pp. 393-405
    • Comon, P.1    Luciani, X.2    De Almeida, A.L.F.3
  • 15
    • 17444379662 scopus 로고    scopus 로고
    • Computation of the canonical decomposition by means of a simultaneous generalized Schur decomposition
    • L. de Lathauwer Computation of the canonical decomposition by means of a simultaneous generalized Schur decomposition SIAM Journal on Matrix Analysis and Applications 26 2 2004 295 327
    • (2004) SIAM Journal on Matrix Analysis and Applications , vol.26 , Issue.2 , pp. 295-327
    • De Lathauwer, L.1
  • 16
    • 33746356349 scopus 로고    scopus 로고
    • A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalizations
    • L. de Lathauwer A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalizations SIAM Journal on Matrix Analysis and Applications 28 3 2006 642 666
    • (2006) SIAM Journal on Matrix Analysis and Applications , vol.28 , Issue.3 , pp. 642-666
    • De Lathauwer, L.1
  • 19
    • 64849103602 scopus 로고    scopus 로고
    • A new Jacobi-like method for joint diagonalization of arbitrary non-defective matrices
    • K.A.-M.R. Iferroudjenea, and A. Belouchrani A new Jacobi-like method for joint diagonalization of arbitrary non-defective matrices Applied Mathematics and Computation 211 2 2009 363 373
    • (2009) Applied Mathematics and Computation , vol.211 , Issue.2 , pp. 363-373
    • Iferroudjenea, K.A.-M.R.1    Belouchrani, A.2
  • 23
    • 0038685059 scopus 로고    scopus 로고
    • A new efficient method for determining the number of components in PARAFAC models
    • R. Bro, and H.A.L. Kiers A new efficient method for determining the number of components in PARAFAC models Journal of Chemometrics 17 2003 274 286
    • (2003) Journal of Chemometrics , vol.17 , pp. 274-286
    • Bro, R.1    Kiers, H.A.L.2
  • 26
    • 85162707890 scopus 로고
    • 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 Journal of Mathematics and Physics 6 1927 164 189
    • (1927) Journal of Mathematics and Physics , vol.6 , pp. 164-189
    • Hitchcock, F.L.1
  • 27
    • 0001434359 scopus 로고
    • Parallel proportional profiles and other principles for determining the choice of factors by rotation
    • R.B. Cattell Parallel proportional profiles and other principles for determining the choice of factors by rotation Psychometrika 9 December (4) 1944
    • (1944) Psychometrika , vol.9 , Issue.DECEMBER 4
    • Cattell, R.B.1
  • 28
    • 48749101457 scopus 로고
    • 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 and its Applications 18 1977 95 138
    • (1977) Linear Algebra and Its Applications , vol.18 , pp. 95-138
    • Kruskal, J.B.1
  • 29
    • 0013953617 scopus 로고
    • Some mathematical notes on three-mode factor analysis
    • L.R. Tucker Some mathematical notes on three-mode factor analysis Psychometrika 31 1966 279 311
    • (1966) Psychometrika , vol.31 , pp. 279-311
    • Tucker, L.R.1
  • 32
    • 49749096526 scopus 로고    scopus 로고
    • Efficient MATLAB computations with sparse and factored tensors
    • B.W. Bader, and T.G. Kolda Efficient MATLAB computations with sparse and factored tensors SIAM Journal on Scientific Computing 30 December (1) 2007 205 231
    • (2007) SIAM Journal on Scientific Computing , vol.30 , Issue.DECEMBER 1 , pp. 205-231
    • Bader, B.W.1    Kolda, T.G.2
  • 33
    • 18844461688 scopus 로고    scopus 로고
    • Blind spatial signature estimation via time-varying user power loading and parallel factor analysis
    • Y. Rong, S.A. Vorobyov, A.B. Gershman, and N.D. Sidiropoulos Blind spatial signature estimation via time-varying user power loading and parallel factor analysis IEEE Transactions on Signal Processing 53 May (5) 2005 1697 1710
    • (2005) IEEE Transactions on Signal Processing , vol.53 , Issue.MAY 5 , pp. 1697-1710
    • Rong, Y.1    Vorobyov, S.A.2    Gershman, A.B.3    Sidiropoulos, N.D.4
  • 35
    • 0036648367 scopus 로고    scopus 로고
    • Non-orthogonal joint diagonalization in the least-squares Sense with application in blind source separation
    • A. Yeredor Non-orthogonal joint diagonalization in the least-squares Sense with application in blind source separation IEEE Transactions on Signal Processing 50 July 2002 1545 1553
    • (2002) IEEE Transactions on Signal Processing , vol.50 , Issue.JULY , pp. 1545-1553
    • Yeredor, A.1
  • 39
    • 0000020580 scopus 로고
    • Kruskal's polynomial for 2 x 2 x 2 arrays and a generalization to 2 x n x n arrays
    • J.M.F.T. Berge Kruskal's polynomial for 2 x 2 x 2 arrays and a generalization to 2 x n x n arrays Psychometrika 56 1991 631 636
    • (1991) Psychometrika , vol.56 , pp. 631-636
    • Berge, J.M.F.T.1
  • 40
    • 80052908842 scopus 로고    scopus 로고
    • A tensor framework for non-unitary joint block diagonalization
    • D. Nion A tensor framework for non-unitary joint block diagonalization IEEE Transactions on Signal Processing 59 October (10) 2011 4585 4594
    • (2011) IEEE Transactions on Signal Processing , vol.59 , Issue.OCTOBER 10 , pp. 4585-4594
    • Nion, D.1
  • 44
    • 36049038610 scopus 로고    scopus 로고
    • An enhanced line search scheme for complex-valued tensor decompositions. Application in DS-CDMA
    • D. Nion, and L.D. Lathauwer An enhanced line search scheme for complex-valued tensor decompositions. Application in DS-CDMA Signal Processing 88 March (3) 2008 749 755
    • (2008) Signal Processing , vol.88 , Issue.MARCH 3 , pp. 749-755
    • Nion, D.1    Lathauwer, L.D.2
  • 45
    • 81455128183 scopus 로고    scopus 로고
    • New ALS methods with extrapolating search directions and optimal step size for complex-valued tensor decompositions
    • Y. Chen, D. Han, and L. Qi New ALS methods with extrapolating search directions and optimal step size for complex-valued tensor decompositions IEEE Transactions on Signal Processing 59 December (12) 2011
    • (2011) IEEE Transactions on Signal Processing , vol.59 , Issue.DECEMBER 12
    • Chen, Y.1    Han, D.2    Qi, L.3
  • 47
    • 83955162378 scopus 로고    scopus 로고
    • Multi-way space-time-wave-vector analysis for EEG source separation
    • H. Becker, P. Comon, L. Albera, M. Haardt, and I. Merlet Multi-way space-time-wave-vector analysis for EEG source separation Signal Processing 92 April (4) 2012 1021 1031
    • (2012) Signal Processing , vol.92 , Issue.APRIL 4 , pp. 1021-1031
    • Becker, H.1    Comon, P.2    Albera, L.3    Haardt, M.4    Merlet, I.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.