1-NMF (12 papers)
P. Paatero, U. Tapper, "Positive matrix factorization: a non-negative factor model with optimal utilization of error estimates of data values", Environmetrics, Volume 5, pages 111-126, 1994.
P. Paatero, "Least squares formulation of robust non-negative factor analysis", Chemometrics and Intelligence Laboratory Systems, Volume 37, pages 23-35, 1997.
P. Paatero, "The multilinear engine: A table-driven least squares program for solving multilinear problems, including the n-way parallel factor analysis model", Journal of Computational and Graphical Statistics, page 31-35, 1999.
D. Lee, H. Seung, Learning the parts of objects by non-negative matrix factorization", pages 788–791, 1999.
D. Lee, H. Seung, "Algorithms for Non-negative Matrix Factorization", Advances in Neural Information Processing Systems, pages 556–562, 2001.
D. Guillamet, M. Bressan, J. Vitria, "A weighted non-negative matrix factorization for local representations", IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2001, pages 942–947, 2001.
Y. Wang, Y. Jiar, C. Hu, M. Turk, "Fisher non-negative matrix factorization for learning local features", Asian Conference on Computer Vision, ACCV 2004, 2004.
A. Cichocki, R. Zdunek, S. Amari, "Csiszar's divergences for non-negative matrix factorization: family of new algorithms", International Conference on Independent Component Analysis and Blind Signal Separation, Charleston, USA, March 2006.
A. Hamza, D. Brady, "Reconstruction of reflectance spectra using robust non-negative matrix factorization", IEEE Transactions on Signal Processing, Volume 54, No. 9, pages 3637-3642, 2004.
M. Catral, L. Han, M. Neumann, R. Plemmons, "On reduced rank non-negative factorization for symmetric non-negative matrices", Linear Algebra and its Applications, pages 107-126, 2004.
P. Pauca, R. Plemmons, K. Abercromby, "Nonnegative matrix factorization methods with physical constraints for spectral unmixing", 2006.
M. Berry, M. Browne, A. Langville, P. Pauca, R .Plemmons, "Algorithms and Applications for Approximate Nonnegative Matrix Factorization", Computational Statistics and Data Analysis Volume 52, Issue 1, pages 155-173, September 2007.
2-Incremental NMF (INMF) (5 papers)
S. Rebhan, W. Sharif, J. Eggert, "Incremental learning in the non-negative matrix factorization", ICONIP 2008, pages 960-969, 2008.
A. Lefevre, F. Bach, C. Fevotte, "Online algorithms for nonnegative matrix factorization with the Itakura–Saito divergence", IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, page 313–316, 2011.
N. Guan, D. Tao, Z. Luo, B. Yuan, "Online nonnegative matrix factorization with robust stochastic approximation", IEEE Transactions on Neural Networks and Learning Systems, Volume 23, No. 7, pages 1087-1099, 2012.
ILPNMF
J. Zheng, Y. Chen, Y. Jin, W. Wang, "Incremental locality preserving nonnegative matrix factorization", International Conference on Advanced Computational Intelligence, pages 135-139, 2013.
IlGNMF/IrGNMF
Z. Chen, L. Li, H. Peng, Y. Liu, Y. Yang, "Incremental general non-negative matrix factorization without dimension matching constraints", Neurocomputing, 2018.
3- Regularized Graph NMF (GNMF) (5 papers)
GNNMF
D. Cai, X. He, J. Han, T.S. Huang, "Graph regularized nonnegative matrix factorization for data representation", IEEE Transactions on Pattern Analysis and Machine Intelligence, pages 1548-1560, 2011.
IOPNMF
D. Wang, H. Lu, "On-line learning parts-based representation via incremental orthogonal projective non-negative matrix factorization", Signal Processing, Volume 93, Issue 6, pages 1608-1623, 2013.
IGNMF
Z. Yu, Y. Liu, B. Li, S. Pang, C. Jia, "Incremental graph regulated nonnegative matrix factorization for face recognition", Journal of Applied Mathematics, 2014.
OGNMF
F. Liu, N. Guan, Y. Tang, "Online graph regularized non-negative matrix factorization for streamming data", IEEE International Conference on Security, Pattern Analysis, and Cybernetics, SPAC 2014, pages 191-196, 2014.
F. Liu, X. Yang, N. Guan, X.Yia, "Online graph regularized non-negative matrix factorization for large-scale datasets", Neurocomputing, pages 162-171, 2016.
4- Fast NMF (3 papers)
E. Gonzalez, Y. Zhang, "Accelerating the Lee–Seung algorithm for nonnegative matrix factorization", Technical Report TR-05-02, Rice University, USA, 2005.
R. Zdunek, A. Cichocki, "Non-negative matrix factorization with quasi-newton optimization", International Conference on Artificial Intelligence and Soft Computing, ICAISC 2006, June 2006.
K. Kanjani, "Parallel non-negative matrix factorization for document clusteringé, Technical Report, Texas University, USA, 2007.
5-Sparse NMF (1 paper)
R. Tandon, S. Sra, "Sparse nonnegative matrix approximation: new formulations and algorithms", 2010.
7-Generalized NMF (2 papers)
I. Dhillon, S. Sra, "Generalized Nonnegative Matrix Approximations with Bregman Divergences", NIPS 2005, 2005.
Distributed NMF
C. Liu, H. Yang, J. Fan, L. He, Y. Wang, "Distributed nonnegative matrix factorization for web–scale dyadic data analysis on MapReduce", International World Wide Web Conference, pages 681–690, 2010.