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Volumn 18, Issue 6, 2007, Pages 1589-1596

On the convergence of multiplicative update algorithms for nonnegative matrix factorization

Author keywords

Asymptotic convergence; Multiplicative updates; Nonnegative matrix factorization (NMF); Stationarity

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ASYMPTOTIC ANALYSIS; FACTORIZATION; MATRIX ALGEBRA; OPTIMIZATION;

EID: 36348966695     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2007.895831     Document Type: Article
Times cited : (353)

References (13)
  • 1
    • 0028561099 scopus 로고
    • Positive matrix factorization: A non-negative factor model with optimal utilization of error
    • P. Paatero and U. Tapper, "Positive matrix factorization: A non-negative factor model with optimal utilization of error," Environmetrics, vol. 5, pp. 111-126, 1994.
    • (1994) Environmetrics , vol.5 , pp. 111-126
    • Paatero, P.1    Tapper, U.2
  • 2
    • 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, vol. 401, pp. 788-791, 1999.
    • (1999) Nature , vol.401 , pp. 788-791
    • Lee, D.D.1    Seung, H.S.2
  • 4
    • 84898964201 scopus 로고    scopus 로고
    • Algorithms for non-negative matrix factorization
    • T. K. Leen, T. G. Dietterich, and V. Tresp, Eds. Cambridge, MA: MIT Press
    • D. D. Lee and H. S. Seung, "Algorithms for non-negative matrix factorization," in Advances in Neural Information Processing Systems 13, T. K. Leen, T. G. Dietterich, and V. Tresp, Eds. Cambridge, MA: MIT Press, 2001, pp. 556-562.
    • (2001) Advances in Neural Information Processing Systems 13 , pp. 556-562
    • Lee, D.D.1    Seung, H.S.2
  • 5
    • 35548969471 scopus 로고    scopus 로고
    • Projected gradient methods for non-negative matrix factorization
    • to be published
    • C.-J. Lin, "Projected gradient methods for non-negative matrix factorization," Neural Comput., 2007, to be published.
    • (2007) Neural Comput
    • Lin, C.-J.1
  • 7
    • 7444224120 scopus 로고    scopus 로고
    • On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices
    • M. Catral, L. Han, M. Neumann, and R. Plemmons, "On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices," Linear Algebra Appl., vol. 393, pp. 107-126, 2004.
    • (2004) Linear Algebra Appl , vol.393 , pp. 107-126
    • Catral, M.1    Han, L.2    Neumann, M.3    Plemmons, R.4
  • 9
    • 33646910575 scopus 로고    scopus 로고
    • Nonnegative matrix factorization and I-divergence alternating minimization
    • L. Finesso and P. Spreij, "Nonnegative matrix factorization and I-divergence alternating minimization," Linear Algebra Appl., vol. 416, no. 2-3, pp. 270-287, 2006.
    • (2006) Linear Algebra Appl , vol.416 , Issue.2-3 , pp. 270-287
    • Finesso, L.1    Spreij, P.2
  • 10
    • 36348931977 scopus 로고    scopus 로고
    • D. P. Bertsekas, Nonlinear Programming, 2nd ed. Belmont, MA: Athena Scientific, 1999, pp. 02178-9998.
    • D. P. Bertsekas, Nonlinear Programming, 2nd ed. Belmont, MA: Athena Scientific, 1999, pp. 02178-9998.
  • 12
    • 35548934524 scopus 로고    scopus 로고
    • Object characterization from spectral data using nonnegative factorization and information theory
    • J. Piper, P. Pauca, R. Plemmons, and M. Giffin, "Object characterization from spectral data using nonnegative factorization and information theory," in Proc. AMOS Tech. Conf., 2004.
    • (2004) Proc. AMOS Tech. Conf
    • Piper, J.1    Pauca, P.2    Plemmons, R.3    Giffin, M.4
  • 13
    • 84900510076 scopus 로고    scopus 로고
    • Non-negative matrix factorization with sparseness constraints
    • P. O. Hoyer, "Non-negative matrix factorization with sparseness constraints," J. Mach. Learn. Res., vol. 5, pp. 1457-1469, 2004.
    • (2004) J. Mach. Learn. Res , vol.5 , pp. 1457-1469
    • Hoyer, P.O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.