Citation Relationships

Lin CJ (2007) Projected gradient methods for nonnegative matrix factorization. Neural Comput 19:2756-79 [PubMed]

References and models cited by this paper

References and models that cite this paper

Bertsekas DP (1976) On the Goldstein-Levitin-Polyak gradient projection method IEEE Trans Automatic Control 21:174-184

Bertsekas DP (1999) Nonlinear programming (2nd ed)

Brunet JP (2004) An NMF Program. Available online at

Brunet JP, Tamayo P, Golub TR, Mesirov JP (2004) Metagenes and molecular pattern discovery using matrix factorization. Proc Natl Acad Sci U S A 101:4164-9 [Journal] [PubMed]

Calamai PH, More JJ (1987) Projected gradient methods for linearly constrained problems Mathematical Programming 39:93-116

Chu M, Diele F, Plemmons R, Ragni S (2005) Optimality, computation and interpretation of nonnegative matrix factorizations Available online

Donoho D, Stodden V (2004) When does non-negative matrix factorization give a correct decomposition into parts? Advances in neural information processing systems, Thrun S:Saul L:Scholkopf B, ed.

Gonzales EF, Zhang Y (2005) Accelerating the Lee-Seung algorithm for non-negative matrix factorization Tech Rep Department of Computational and Applied Mathematics, Rice University

Grippo L, Sciandrone M (2000) On the convergence of the block nonlinear Gauss-Seidel method under convex constraints Operations Research Letters 26:127-136

Hoyer PO (2002) Non-negative sparse coding Proceedings of IEEE Workshop on Neural Networks for Signal Processing :557-565

Hoyer PO (2004) Non-negative matrix factorization with sparseness constraints J Mach Learn Res 5:1457-1469

Lawson CL, Hanson RJ (1974) Linear least squares with linear inequality constraints Solving least squares problems :161

Lee DD, Seung HS (1999) Learning the parts of objects by non-negative matrix factorization. Nature 401:788-91 [Journal] [PubMed]

Lee DD, Seung HS (2000) Algorithms for non-negative matrix factorization Advances in neural information processing systems, Leen TK:Dietterich TG:Tresp V, ed. pp.556

Lewis DD, Yang Y, Rose TG, Li F (2004) RCV1: A new benchmark collection for text categorization research J Mach Learn Res 5:361-397

Lin CJ (1999) Newtons method for large-scale bound constrained problems SIAM J Optim 9:1100-1127

Mccormick GP, Tapia RA (1972) The gradient projection method under mild differentiability conditions SIAM J Control 10:93-98

Paatero P (1999) The multilinear engine table-driven, least squares program for solving multilinear problems, including the n-way parallel factor analysis model J Comput Graph Stat 8:854-888

Paatero P, Tapper U (1994) Positive matrix factorization: A non-negative factor model with optimal utilization of error Environmetrics 5:111-126

Piper J, Pauca P, Plemmons R, Giffin M (2004) Object characterization from spectral data using nonnegative factorization and information theory Proc AMOS Tech Conf

Powell MJD (1973) On search directions for minimization Mathematical Programming 4:193-201

Shepherd S (2004) Non-negative matrix factorization Available online at

Xu W, Liu X, Gong Y (2003) Document clustering based on non-negative matrix factorization Proc 26th Ann Intl ACM SIGIR Conf :297-273

(23 refs)