Nonnegative matrix factorization via rank-one downdate
Proceedings of the 25th international conference on Machine learning
Using underapproximations for sparse nonnegative matrix factorization
Pattern Recognition
Binary matrix factorization for analyzing gene expression data
Data Mining and Knowledge Discovery
Linear and nonlinear projective nonnegative matrix factorization
IEEE Transactions on Neural Networks
Approximate low-rank factorization with structured factors
Computational Statistics & Data Analysis
Nonnegative Principal Component Analysis for Cancer Molecular Pattern Discovery
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
On the Complexity of Nonnegative Matrix Factorization
SIAM Journal on Optimization
Sparse nonnegative matrix factorization for protein sequence motif discovery
Expert Systems with Applications: An International Journal
Sparse non-negative tensor factorization using columnwise coordinate descent
Pattern Recognition
Robust visual reranking via sparsity and ranking constraints
MM '11 Proceedings of the 19th ACM international conference on Multimedia
Quadratic nonnegative matrix factorization
Pattern Recognition
Supervised input space scaling for non-negative matrix factorization
Signal Processing
Social influence modeling on smartphone usage
ADMA'11 Proceedings of the 7th international conference on Advanced Data Mining and Applications - Volume Part II
NIMFA: a python library for nonnegative matrix factorization
The Journal of Machine Learning Research
Non-monotone projection gradient method for non-negative matrix factorization
Computational Optimization and Applications
Multidimensional Systems and Signal Processing
Fast bregman divergence NMF using taylor expansion and coordinate descent
Proceedings of the 18th ACM SIGKDD international conference on Knowledge discovery and data mining
Fast Nonnegative Matrix Factorization: An Active-Set-Like Method and Comparisons
SIAM Journal on Scientific Computing
Nonnegative matrix factorizations performing object detection and localization
Applied Computational Intelligence and Soft Computing
Selecting β-divergence for nonnegative matrix factorization by score matching
ICANN'12 Proceedings of the 22nd international conference on Artificial Neural Networks and Machine Learning - Volume Part II
Adaptive multiplicative updates for projective nonnegative matrix factorization
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part III
A framework of gene subset selection using multiobjective evolutionary algorithm
PRIB'12 Proceedings of the 7th IAPR international conference on Pattern Recognition in Bioinformatics
Solving non-negative matrix factorization by alternating least squares with a modified strategy
Data Mining and Knowledge Discovery
Modified subspace Barzilai-Borwein gradient method for non-negative matrix factorization
Computational Optimization and Applications
Fast rank-2 nonnegative matrix factorization for hierarchical document clustering
Proceedings of the 19th ACM SIGKDD international conference on Knowledge discovery and data mining
Sparse and unique nonnegative matrix factorization through data preprocessing
The Journal of Machine Learning Research
Nonnegative Least-Squares Methods for the Classification of High-Dimensional Biological Data
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
PRIB'13 Proceedings of the 8th IAPR international conference on Pattern Recognition in Bioinformatics
Learning descriptive visual representation by semantic regularized matrix factorization
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Understanding and promoting micro-finance activities in Kiva.org
Proceedings of the 7th ACM international conference on Web search and data mining
A convergent algorithm for orthogonal nonnegative matrix factorization
Journal of Computational and Applied Mathematics
Proceedings of the 23rd international conference on World wide web
Journal of Global Optimization
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Motivation: Many practical pattern recognition problems require non-negativity constraints. For example, pixels in digital images and chemical concentrations in bioinformatics are non-negative. Sparse non-negative matrix factorizations (NMFs) are useful when the degree of sparseness in the non-negative basis matrix or the non-negative coefficient matrix in an NMF needs to be controlled in approximating high-dimensional data in a lower dimensional space. Results: In this article, we introduce a novel formulation of sparse NMF and show how the new formulation leads to a convergent sparse NMF algorithm via alternating non-negativity-constrained least squares. We apply our sparse NMF algorithm to cancer-class discovery and gene expression data analysis and offer biological analysis of the results obtained. Our experimental results illustrate that the proposed sparse NMF algorithm often achieves better clustering performance with shorter computing time compared to other existing NMF algorithms. Availability: The software is available as supplementary material. Contact:hskim@cc.gatech.edu, hpark@acc.gatech.edu Supplementary information: Supplementary data are available at Bioinformatics online.