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Volumn 36, Issue 4, 2015, Pages 1404-1424

Exact and heuristic algorithms for semi-nonnegative matrix factorization

Author keywords

Algorithms; Initialization; Low Rank Matrix Approximation; Semi Nonnegative Matrix Factorization; Seminonnegative Rank

Indexed keywords

ALGORITHMS; APPROXIMATION ALGORITHMS; FACTORIZATION; HEURISTIC ALGORITHMS; OPTIMAL SYSTEMS; OPTIMIZATION; SINGULAR VALUE DECOMPOSITION;

EID: 84959208291     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/140993272     Document Type: Article
Times cited : (27)

References (27)
  • 2
  • 5
    • 27844538727 scopus 로고    scopus 로고
    • Computing over the reals: Where Turing meets Newton
    • L. Blum, Computing over the reals: Where Turing meets Newton, Notices Amer. Math. Soc., 51 (2004), pp. 1024-1034.
    • (2004) Notices Amer. Math. Soc , vol.51 , pp. 1024-1034
    • Blum, L.1
  • 6
    • 53649094176 scopus 로고    scopus 로고
    • Resolving the sign ambiguity in the singular value decomposition
    • R. Bro, E. Acar, and T.G. Kolda, Resolving the sign ambiguity in the singular value decomposition, J. Chemometrics, 22 (2008), pp. 135-140.
    • (2008) J. Chemometrics , vol.22 , pp. 135-140
    • Bro, R.1    Acar, E.2    Kolda, T.G.3
  • 7
    • 84908222641 scopus 로고    scopus 로고
    • Semi-nonnegative rank for real matrices and its connection to the usual rank
    • M. Chouh, , M. Hanafi, and K. Boukhetala, Semi-nonnegative rank for real matrices and its connection to the usual rank, Linear Algebra Appl., 466 (2015), pp. 27-37.
    • (2015) Linear Algebra Appl , vol.466 , pp. 27-37
    • Chouh, M.1    Hanafi, M.2    Boukhetala, K.3
  • 8
    • 74449093261 scopus 로고    scopus 로고
    • Fast local algorithms for large scale nonnegative matrix and tensor factorizations
    • A. Cichocki and A.H. Phan, Fast local algorithms for large scale nonnegative matrix and tensor factorizations, IEICE Trans. Fundam. Electron., Vol. E92-A, (2009), pp. 708-721.
    • (2009) IEICE Trans. Fundam. Electron , vol.92 , pp. 708-721
    • Cichocki, A.1    Phan, A.H.2
  • 10
    • 0001228489 scopus 로고
    • Systems of distinct representatives and linear algebra
    • J. Edmonds, Systems of distinct representatives and linear algebra, J. Res. Nat. Bur. Standards Sect. B, 71 (1967), pp. 241-245.
    • (1967) J. Res. Nat. Bur. Standards Sect. B , vol.71 , pp. 241-245
    • Edmonds, J.1
  • 11
    • 84861111031 scopus 로고    scopus 로고
    • Accelerated multiplicative updates and hierarchical ALS algorithms for nonnegative matrix factorization
    • N. Gillis and F. Glineur, Accelerated multiplicative updates and hierarchical ALS algorithms for nonnegative matrix factorization, Neural Comput., 24 (2012), pp. 1085-1105.
    • (2012) Neural Comput , vol.24 , pp. 1085-1105
    • Gillis, N.1    Glineur, F.2
  • 12
    • 84865687533 scopus 로고    scopus 로고
    • On the geometric interpretation of the nonnegative rank
    • N. Gillis and F. Glineur, On the geometric interpretation of the nonnegative rank, Linear Algebra Appl., 437 (2012), pp. 2685-2712.
    • (2012) Linear Algebra Appl , vol.437 , pp. 2685-2712
    • Gillis, N.1    Glineur, F.2
  • 13
    • 84899423830 scopus 로고    scopus 로고
    • A continuous characterization of the maximum-edge biclique problem
    • N. Gillis and F. Glineur, A continuous characterization of the maximum-edge biclique problem, J. Global Optim., 58 (2014), pp. 439-464.
    • (2014) J. Global Optim , vol.58 , pp. 439-464
    • Gillis, N.1    Glineur, F.2
  • 14
    • 0004236492 scopus 로고    scopus 로고
    • 3rd ed., The Johns Hopkins University Press, Baltimore, M.D.
    • G.H. Golub and C.F. Van Loan, Matrix Computation, 3rd ed., The Johns Hopkins University Press, Baltimore, MD, 1996.
    • (1996) Matrix Computation
    • Golub, G.H.1    Van Loan, C.F.2
  • 15
    • 36849072045 scopus 로고    scopus 로고
    • Graph implementations for nonsmooth convex programs
    • a Tribute to M. Vidyasagar V. Blondel, S. Boyd, and H. Kimura, eds., Lecture Notes in Control and Inform. Sci, Springer, London
    • M. Grant and S. Boyd, Graph implementations for nonsmooth convex programs, in Recent Advances in Learning and Control (a Tribute to M. Vidyasagar), V. Blondel, S. Boyd, and H. Kimura, eds., Lecture Notes in Control and Inform. Sci., Springer, London, 2008, pp. 95-110.
    • (2008) Recent Advances in Learning and Control , pp. 95-110
    • Grant, M.1    Boyd, S.2
  • 18
    • 0033592606 scopus 로고    scopus 로고
    • Learning the parts of objects by nonnegative matrix factorization
    • D.D. Lee and H.S. Seung, Learning the parts of objects by nonnegative matrix factorization, Nature, 401 (1999), pp. 788-791.
    • (1999) Nature , vol.401 , pp. 788-791
    • Lee, D.D.1    Seung, H.S.2
  • 19
    • 80455168744 scopus 로고    scopus 로고
    • FastNMF: Highly efficient monotonic fixed-point nonnegative matrix factorization algorithm with good applicability
    • L. Li and Y.-J. Zhang, FastNMF: Highly efficient monotonic fixed-point nonnegative matrix factorization algorithm with good applicability, J. Electron. Imaging, 18 (2009), 033004.
    • (2009) J. Electron. Imaging , vol.18 , pp. 033004
    • Li, L.1    Zhang, Y.-J.2
  • 20
    • 80052781908 scopus 로고    scopus 로고
    • Sparse non-negative tensor factorization using columnwise coordinate descent
    • J. Liu, J. Liu, P. Wonka, and J. Ye, Sparse non-negative tensor factorization using columnwise coordinate descent, Pattern Recognit., 45 (2012), pp. 649-656.
    • (2012) Pattern Recognit , vol.45 , pp. 649-656
    • Liu, J.1    Liu, J.2    Wonka, P.3    Ye, J.4
  • 21
    • 84867843133 scopus 로고    scopus 로고
    • Semi-nonnegative matrix factorization for motion segmentation with missing data
    • Springer, Berlin
    • Q. Mo and B.A. Draper, Semi-nonnegative matrix factorization for motion segmentation with missing data, in Computer Vision-ECCV 2012, Springer, Berlin, 2012, pp. 402-415.
    • (2012) Computer Vision-ECCV 2012 , pp. 402-415
    • Mo, Q.1    Draper, B.A.2
  • 22
    • 0023452095 scopus 로고
    • Some NP-complete problems in quadratic and nonlinear programming
    • K.G. Murty and S.N. Kabadi, Some NP-complete problems in quadratic and nonlinear programming, Math. Program., 39 (1987), pp. 117-129.
    • (1987) Math. Program , vol.39 , pp. 117-129
    • Murty, K.G.1    Kabadi, S.N.2
  • 26
    • 73249153369 scopus 로고    scopus 로고
    • On the complexity of nonnegative matrix factorization
    • S.A. Vavasis, On the complexity of nonnegative matrix factorization, SIAM J. Optim., 20 (2010), pp. 1364-1377.
    • (2010) SIAM J. Optim , vol.20 , pp. 1364-1377
    • Vavasis, S.A.1
  • 27
    • 84873113464 scopus 로고    scopus 로고
    • Generalized bilinear model based nonlinear unmixing using semi-nonnegative matrix factorization
    • IEEE, Piscataway, NJ
    • N. Yokoya, J. Chanussot, and A. Iwasaki, Generalized bilinear model based nonlinear unmixing using semi-nonnegative matrix factorization, in IEEE International Geoscience and Remote Sensing Symposium (IGARSS), IEEE, Piscataway, NJ, 2012, pp. 1365-1368.
    • (2012) IEEE International Geoscience and Remote Sensing Symposium (IGARSS) , pp. 1365-1368
    • Yokoya, N.1    Chanussot, J.2    Iwasaki, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.