A Regularization Parameter in Discrete Ill-Posed Problems
SIAM Journal on Scientific Computing
Document clustering based on non-negative matrix factorization
Proceedings of the 26th annual international ACM SIGIR conference on Research and development in informaion retrieval
Cluster ensembles --- a knowledge reuse framework for combining multiple partitions
The Journal of Machine Learning Research
Non-negative Matrix Factorization with Sparseness Constraints
The Journal of Machine Learning Research
Nonsmooth Nonnegative Matrix Factorization (nsNMF)
IEEE Transactions on Pattern Analysis and Machine Intelligence
Orthogonal nonnegative matrix t-factorizations for clustering
Proceedings of the 12th ACM SIGKDD international conference on Knowledge discovery and data mining
Fast Projection-Based Methods for the Least Squares Nonnegative Matrix Approximation Problem
Statistical Analysis and Data Mining
Nonnegative matrix factorization with Gaussian process priors
Computational Intelligence and Neuroscience - Advances in Nonnegative Matrix and Tensor Factorization
SIAM Journal on Matrix Analysis and Applications
Orthogonal Nonnegative Matrix Factorization: Multiplicative Updates on Stiefel Manifolds
IDEAL '08 Proceedings of the 9th International Conference on Intelligent Data Engineering and Automated Learning
Toward Faster Nonnegative Matrix Factorization: A New Algorithm and Comparisons
ICDM '08 Proceedings of the 2008 Eighth IEEE International Conference on Data Mining
Bayesian Non-negative Matrix Factorization
ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
Tumor clustering using nonnegative matrix factorization with gene selection
IEEE Transactions on Information Technology in Biomedicine - Special section on biomedical informatics
Document clustering using nonnegative matrix factorization
Information Processing and Management: an International Journal
IEEE Transactions on Audio, Speech, and Language Processing
Information Processing and Management: an International Journal
A multilevel approach for nonnegative matrix factorization
Journal of Computational and Applied Mathematics
Extended SMART algorithms for non-negative matrix factorization
ICAISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Soft Computing
On the convergence of the block nonlinear Gauss-Seidel method under convex constraints
Operations Research Letters
On the Convergence of Multiplicative Update Algorithms for Nonnegative Matrix Factorization
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
| Hi-index | 7.29 |
This paper proposes a convergent algorithm for nonnegative matrix factorization (NMF) with orthogonality constraint on the factors. We design the algorithm based on the additive update rule algorithm for the standard NMF proposed by Lee and Seung, and derive the convergent version by generalizing the convergence proof of the algorithm developed by Lin. Further we use the proposed algorithms to improve clustering capability of the standard NMF using the Reuter document corpus, a standard dataset in clustering research.