Nonnegative Factorization of a Data Matrix as a Motivational Example for Basic Linear Algebra

[1]  Rachel V. Bennett,et al.  Whole Reproductive System Non-Negative Matrix Factorization Mass Spectrometry Imaging of an Early-Stage Ovarian Cancer Mouse Model , 2016, PloS one.

[2]  Sanghamitra Bandyopadhyay,et al.  A NMF based approach for integrating multiple data sources to predict HIV-1–human PPIs , 2016, BMC Bioinformatics.

[3]  M. Trigueros,et al.  Teaching eigenvalues and eigenvectors using models and APOS Theory , 2015 .

[4]  Antti Hurmalainen,et al.  Robust speech recognition with spectrogram factorisation , 2014 .

[5]  Serena Nik-Zainal,et al.  Mechanisms underlying mutational signatures in human cancers , 2014, Nature Reviews Genetics.

[6]  Miroslav Zivanovic,et al.  ECG-EMG separation by using enhanced non-negative matrix factorization , 2014, 2014 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[7]  Yu-Jin Zhang,et al.  Nonnegative Matrix Factorization: A Comprehensive Review , 2013, IEEE Transactions on Knowledge and Data Engineering.

[8]  Edgar Possani,et al.  Using an economics model for teaching linear algebra , 2013 .

[9]  Paulo J. G. Lisboa,et al.  Non-negative matrix factorisation methods for the spectral decomposition of MRS data from human brain tumours , 2012, BMC Bioinformatics.

[10]  O. Alter,et al.  A Higher-Order Generalized Singular Value Decomposition for Comparison of Global mRNA Expression from Multiple Organisms , 2011, PloS one.

[11]  Edgar Possani,et al.  Use of models in the teaching of linear algebra , 2010 .

[12]  Ying Liu,et al.  Matrix factorization techniques for analysis of imaging mass spectrometry data , 2008, 2008 8th IEEE International Conference on BioInformatics and BioEngineering.

[13]  Bhiksha Raj,et al.  Speech denoising using nonnegative matrix factorization with priors , 2008, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.

[14]  Barak A. Pearlmutter,et al.  Convolutive Non-Negative Matrix Factorisation with a Sparseness Constraint , 2006, 2006 16th IEEE Signal Processing Society Workshop on Machine Learning for Signal Processing.

[15]  Barak A. Pearlmutter,et al.  Sparse Representations for the Cocktail Party Problem , 2006, The Journal of Neuroscience.

[16]  Richard Lesh,et al.  Trends in the evolution of models & modeling perspectives on mathematical learning and problem solving , 2005 .

[17]  Victoria Stodden,et al.  When Does Non-Negative Matrix Factorization Give a Correct Decomposition into Parts? , 2003, NIPS.

[18]  Jean-Francois Cardoso,et al.  INDEPENDENT COMPONENT ANALYSIS OF THE COSMIC MICROWAVE BACKGROUND , 2003 .

[19]  P. Smaragdis,et al.  Non-negative matrix factorization for polyphonic music transcription , 2003, 2003 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (IEEE Cat. No.03TH8684).

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

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