Nonnegative low rank matrix approximation for nonnegative matrices

[1]  Bohua Zhan,et al.  Smooth Manifolds , 2021, Arch. Formal Proofs.

[2]  Michael K. Ng,et al.  Robust and Non-Negative Collective Matrix Factorization for Text-to-Image Transfer Learning , 2015, IEEE Transactions on Image Processing.

[3]  Binbin Pan,et al.  Non-negative Sparse Representation Based on Block NMF for Face Recognition , 2013, CCBR.

[4]  F. Andersson,et al.  Alternating Projections on Nontangential Manifolds , 2013 .

[5]  Bart Vandereycken,et al.  Low-Rank Matrix Completion by Riemannian Optimization , 2013, SIAM J. Optim..

[6]  Michael K. Ng,et al.  SNMFCA: Supervised NMF-Based Image Classification and Annotation , 2012, IEEE Transactions on Image Processing.

[7]  Xuelong Li,et al.  Constrained Nonnegative Matrix Factorization for Image Representation , 2012, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  Nicolas Gillis,et al.  Accelerated Multiplicative Updates and Hierarchical ALS Algorithms for Nonnegative Matrix Factorization , 2011, Neural Computation.

[9]  Michael W. Berry,et al.  Text mining : applications and theory , 2010 .

[10]  Andrzej Cichocki,et al.  Nonnegative Matrix and Tensor Factorization T , 2007 .

[11]  Seungjin Choi,et al.  Algorithms for orthogonal nonnegative matrix factorization , 2008, 2008 IEEE International Joint Conference on Neural Networks (IEEE World Congress on Computational Intelligence).

[12]  Robert E. Mahony,et al.  Optimization Algorithms on Matrix Manifolds , 2007 .

[13]  Chih-Jen Lin,et al.  Projected Gradient Methods for Nonnegative Matrix Factorization , 2007, Neural Computation.

[14]  Andrzej Cichocki,et al.  Hierarchical ALS Algorithms for Nonnegative Matrix and 3D Tensor Factorization , 2007, ICA.

[15]  Hyunsoo Kim,et al.  Sparse Non-negative Matrix Factorizations via Alternating Non-negativity-constrained Least Squares , 2006 .

[16]  Tao Li,et al.  The Relationships Among Various Nonnegative Matrix Factorization Methods for Clustering , 2006, Sixth International Conference on Data Mining (ICDM'06).

[17]  Chris H. Q. Ding,et al.  Orthogonal nonnegative matrix t-factorizations for clustering , 2006, KDD '06.

[18]  Francisco Tirado,et al.  bioNMF: a versatile tool for non-negative matrix factorization in biology , 2006, BMC Bioinformatics.

[19]  Guoli Wang,et al.  LS-NMF: A modified non-negative matrix factorization algorithm utilizing uncertainty estimates , 2006, BMC Bioinformatics.

[20]  Yuan Gao,et al.  Improving molecular cancer class discovery through sparse non-negative matrix factorization , 2005 .

[21]  Daoqiang Zhang,et al.  Two-Dimensional Non-negative Matrix Factorization for Face Representation and Recognition , 2005, AMFG.

[22]  Erkki Oja,et al.  Projective Nonnegative Matrix Factorization for Image Compression and Feature Extraction , 2005, SCIA.

[23]  Yunde Jia,et al.  Non-negative matrix factorization framework for face recognition , 2005, Int. J. Pattern Recognit. Artif. Intell..

[24]  Chris H. Q. Ding,et al.  On the Equivalence of Nonnegative Matrix Factorization and Spectral Clustering , 2005, SDM.

[25]  Suvrit Sra,et al.  Minimum Sum-Squared Residue based clustering of Gene Expression Data , 2004 .

[26]  Michael W. Berry,et al.  Text Mining Using Non-Negative Matrix Factorizations , 2004, SDM.

[27]  Inderjit S. Dhillon,et al.  Minimum Sum-Squared Residue Co-Clustering of Gene Expression Data , 2004, SDM.

[28]  Bernt Schiele,et al.  Introducing a weighted non-negative matrix factorization for image classification , 2003, Pattern Recognit. Lett..

[29]  SIGIR 2003: Proceedings of the 26th Annual International ACM SIGIR Conference on Research and Development in Information Retrieval, July 28 - August 1, 2003, Toronto, Canada , 2003, SIGIR.

[30]  Xin Liu,et al.  Document clustering based on non-negative matrix factorization , 2003, SIGIR.

[31]  Philip M. Kim,et al.  Subsystem identification through dimensionality reduction of large-scale gene expression data. , 2003, Genome research.

[32]  Jordi Vitrià,et al.  Non-negative Matrix Factorization for Face Recognition , 2002, CCIA.

[33]  H. Sebastian Seung,et al.  Learning the parts of objects by non-negative matrix factorization , 1999, Nature.

[34]  P. Paatero,et al.  Positive matrix factorization: A non-negative factor model with optimal utilization of error estimates of data values† , 1994 .

[35]  H. Whitney.  Elementary Structure of Real Algebraic Varieties , 1957 .