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Volumn 15, Issue , 2014, Pages 1011-1039

Ellipsoidal rounding for nonnegative matrix factorization under noisy separability

Author keywords

Document clustering; Enclosing ellipsoid; Nonnegative matrix factorization; Robustness to noise; Separability

Indexed keywords

COMPUTATIONAL GEOMETRY; INFORMATION RETRIEVAL;

EID: 84899876632     PISSN: 15324435     EISSN: 15337928     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (26)

References (35)
  • 1
    • 37549000212 scopus 로고    scopus 로고
    • Linear convergence of a modified Frank-Wolfe algorithm for computing minimum-volume enclosing ellipsoids
    • S. D. Ahipasaoglu, P. Sun, and M. J. Todd. Linear convergence of a modified Frank-Wolfe algorithm for computing minimum-volume enclosing ellipsoids. Optimization Methods and Software, 23(1):5-19, 2008.
    • (2008) Optimization Methods and Software , vol.23 , Issue.1 , pp. 5-19
    • Ahipasaoglu, S.D.1    Sun, P.2    Todd, M.J.3
  • 9
    • 84887361620 scopus 로고    scopus 로고
    • Robustness analysis of Hottopixx, a linear programming model for factoring nonnegative matrices
    • N. Gillis. Robustness analysis of Hottopixx, a linear programming model for factoring nonnegative matrices. SIAM Journal on Matrix Analysis and Applications, 34(3):1189- 1212, 2013.
    • (2013) SIAM Journal on Matrix Analysis and Applications , vol.34 , Issue.3 , pp. 1189-1212
    • Gillis, N.1
  • 12
  • 13
    • 84862781770 scopus 로고    scopus 로고
    • Eficient nonnegative matrix factorization via projected newton method
    • P. Gong and C. Zhang. Eficient nonnegative matrix factorization via projected newton method. Pattern Recognition, 45(9):3557-3565, 2012.
    • (2012) Pattern Recognition , vol.45 , Issue.9 , pp. 3557-3565
    • Gong, P.1    Zhang, C.2
  • 15
    • 0030134435 scopus 로고    scopus 로고
    • Rounding of polytopes in the real number model of computation
    • L. G. Khachiyan. Rounding of polytopes in the real number model of computation. Math- ematics of Operations Research, 21(2):307-320, 1996. (Pubitemid 126600322)
    • (1996) Mathematics of Operations Research , vol.21 , Issue.2 , pp. 307-320
    • Khachiyan, L.G.1
  • 16
    • 67349093319 scopus 로고    scopus 로고
    • Non-negative matrix factorization based on alternating non-negativity constrained least squares and active set method
    • H. Kim and H. Park. Non-negative matrix factorization based on alternating non-negativity constrained least squares and active set method. SIAM Journal on Matrix Analysis and Applications, 30(2):713-730, 2008.
    • (2008) SIAM Journal on Matrix Analysis and Applications , vol.30 , Issue.2 , pp. 713-730
    • Kim, H.1    Park, H.2
  • 17
    • 84863012243 scopus 로고    scopus 로고
    • Fast nonnegative matrix factorization: An active-set-like method and comparisons
    • H. Kim and H. Park. Fast nonnegative matrix factorization: An active-set-like method and comparisons. SIAM Journal on Scientific Computing, 33(6):3261-3281, 2011.
    • (2011) SIAM Journal on Scientific Computing , vol.33 , Issue.6 , pp. 3261-3281
    • Kim, H.1    Park, H.2
  • 18
    • 84895057098 scopus 로고    scopus 로고
    • Algorithms for nonnegative matrix and tensor factorizations: A unified view based on block coordinate descent framework
    • J. Kim, Y. He, and H. Park. Algorithms for nonnegative matrix and tensor factorizations: a unified view based on block coordinate descent framework. Journal of Global Optimization, 58(2):285-319, 2014.
    • (2014) Journal of Global Optimization , vol.58 , Issue.2 , pp. 285-319
    • Kim, J.1    He, Y.2    Park, H.3
  • 21
    • 0033592606 scopus 로고    scopus 로고
    • 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, 401:788-791, 1999.
    • (1999) Nature , vol.401 , pp. 788-791
    • Lee, D.D.1    Seung, H.S.2
  • 23
    • 35548969471 scopus 로고    scopus 로고
    • Projected gradient methods for non-negative matrix factorization
    • C.-J. Lin. Projected gradient methods for non-negative matrix factorization. Neural Com- putation, 19(10):2756-2779, 2007.
    • (2007) Neural Com- Putation , vol.19 , Issue.10 , pp. 2756-2779
    • Lin, C.-J.1
  • 25
    • 33847733865 scopus 로고    scopus 로고
    • Endmember extraction from highly mixed data using minimum volume constrained nonnegative matrix factorization
    • DOI 10.1109/TGRS.2006.888466
    • L. Miao and H. Qi. Endmember extraction from highly mixed data using minimum volume constrained nonnegative matrix factorization. IEEE Transactions on Geoscience and Remote Sensing, 45(2):765-777, 2007. (Pubitemid 46375748)
    • (2007) IEEE Transactions on Geoscience and Remote Sensing , vol.45 , Issue.3 , pp. 765-777
    • Miao, L.1    Qi, H.2
  • 26
    • 16444373735 scopus 로고    scopus 로고
    • Vertex component analysis: A fast algorithm to unmix hyperspectral data
    • DOI 10.1109/TGRS.2005.844293
    • J. M. P. Nascimento and J. M. B. Dias. Vertex component analysis: A fast algorithm to unmix hyperspectral data. IEEE Transactions on Geoscience and Remote Sensing, 43 (4):898-910, 2005. (Pubitemid 40476033)
    • (2005) IEEE Transactions on Geoscience and Remote Sensing , vol.43 , Issue.4 , pp. 898-910
    • Nascimento, J.M.P.1    Dias, J.M.B.2
  • 27
    • 25844488029 scopus 로고    scopus 로고
    • Document clustering using nonnegative matrix factorization
    • DOI 10.1016/j.ipm.2004.11.005, PII S0306457304001542
    • F. Shahnaz, M. W. Berry, V. P. Pauca, and R. J. Plemmons. Document clustering using nonnegative matrix factorization. Information Processing and Management, 42(2):373-386, 2006. (Pubitemid 41394167)
    • (2006) Information Processing and Management , vol.42 , Issue.2 , pp. 373-386
    • Shahnaz, F.1    Berry, M.W.2    Pauca, V.P.3    Plemmons, R.J.4
  • 28
    • 8344259908 scopus 로고    scopus 로고
    • Computation of minimum-volume covering ellipsoids
    • P. Sun and R. M. Freund. Computation of minimum-volume covering ellipsoids. Operations Research, 52(5):690-706, 2004.
    • (2004) Operations Research , vol.52 , Issue.5 , pp. 690-706
    • Sun, P.1    Freund, R.M.2
  • 29
    • 34547419664 scopus 로고    scopus 로고
    • On Khachiyan's algorithm for the computation of minimum-volume enclosing ellipsoids
    • DOI 10.1016/j.dam.2007.02.013, PII S0166218X07000716
    • M. J. Todd and E. A. Yildirim. On Khachiyan's algorithm for the computation of minimumvolume enclosing ellipsoids. Discrete Applied Mathematics, 155(13):1731-1744, 2007. (Pubitemid 47176135)
    • (2007) Discrete Applied Mathematics , vol.155 , Issue.13 , pp. 1731-1744
    • Todd, M.J.1    Yildirim, E.A.2
  • 30
    • 0032595819 scopus 로고    scopus 로고
    • Primal-dual path-following algorithms for determinant maximization problems with linear matrix inequalities
    • K.-C. Toh. Primal-dual path-following algorithms for determinant maximization problems with linear matrix inequalities. Computational Optimization and Applications, 14(3): 309-330, 1999.
    • (1999) Computational Optimization and Applications , vol.14 , Issue.3 , pp. 309-330
    • Toh, K.-C.1
  • 32
    • 46349109216 scopus 로고    scopus 로고
    • An extension of the standard polynomial-time primal-dual pathfollowing algorithm to the weighted determinant maximization problem with semidefinite constraints
    • T. Tsuchiya and Y. Xia. An extension of the standard polynomial-time primal-dual pathfollowing algorithm to the weighted determinant maximization problem with semidefinite constraints. Pacific Journal of Optimization, 3(1):165-182, 2007.
    • (2007) Pacific Journal of Optimization , vol.3 , Issue.1 , pp. 165-182
    • Tsuchiya, T.1    Xia, Y.2
  • 34
    • 73249153369 scopus 로고    scopus 로고
    • On the complexity of nonnegative matrix factorization
    • S. A. Vavasis. On the complexity of nonnegative matrix factorization. SIAM Journal of Optimization, 20(3):1364-1377, 2009.
    • (2009) SIAM Journal of Optimization , vol.20 , Issue.3 , pp. 1364-1377
    • Vavasis, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.