Projected gradient methods for linearly constrained problems
Mathematical Programming: Series A and B
Newton's Method for Large Bound-Constrained Optimization Problems
SIAM Journal on Optimization
Document clustering based on non-negative matrix factorization
Proceedings of the 26th annual international ACM SIGIR conference on Research and development in informaion retrieval
RCV1: A New Benchmark Collection for Text Categorization Research
The Journal of Machine Learning Research
Non-negative Matrix Factorization with Sparseness Constraints
The Journal of Machine Learning Research
On the convergence of the block nonlinear Gauss-Seidel method under convex constraints
Operations Research Letters
Nonnegative matrix factorization with Gaussian process priors
Computational Intelligence and Neuroscience - Advances in Nonnegative Matrix and Tensor Factorization
Efficient computation of personal aggregate queries on blogs
Proceedings of the 14th ACM SIGKDD international conference on Knowledge discovery and data mining
Algorithms for sparse nonnegative tucker decompositions
Neural Computation
Structural Identifiability in Low-Rank Matrix Factorization
COCOON '08 Proceedings of the 14th annual international conference on Computing and Combinatorics
Data Clustering with Semi-binary Nonnegative Matrix Factorization
ICAISC '08 Proceedings of the 9th international conference on Artificial Intelligence and Soft Computing
Nonnegative Least Squares Learning for the Random Neural Network
ICANN '08 Proceedings of the 18th international conference on Artificial Neural Networks, Part I
Computing non-negative tensor factorizations
Optimization Methods & Software - Mathematical programming in data mining and machine learning
Computational Intelligence and Neuroscience - Advances in Nonnegative Matrix and Tensor Factorization
Spatiotemporal Decomposition in Object-Space along Reconstruction in Emission Tomography
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
Incremental subspace learning via non-negative matrix factorization
Pattern Recognition
Non-negative matrix factorization: Ill-posedness and a geometric algorithm
Pattern Recognition
A Parallel Nonnegative Tensor Factorization Algorithm for Mining Global Climate Data
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
Discriminant nonnegative tensor factorization algorithms
IEEE Transactions on Neural Networks
An efficient nonnegative matrix factorization approach in flexible kernel space
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
Unsupervised and constrained Dirichlet process mixture models for verb clustering
GEMS '09 Proceedings of the Workshop on Geometrical Models of Natural Language Semantics
Using underapproximations for sparse nonnegative matrix factorization
Pattern Recognition
EURASIP Journal on Advances in Signal Processing - Special issue on analysis and signal processing of oesophageal and pathological voices
Constrained Laplacian Eigenmap for dimensionality reduction
Neurocomputing
Online Learning for Matrix Factorization and Sparse Coding
The Journal of Machine Learning Research
Knowledge extraction with non-negative matrix factorization for text classification
IDEAL'09 Proceedings of the 10th international conference on Intelligent data engineering and automated learning
ICANNGA'09 Proceedings of the 9th international conference on Adaptive and natural computing algorithms
Facial expression recognition based on graph-preserving sparse non-negative matrix factorization
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Nonlinear non-negative component analysis algorithms
IEEE Transactions on Image Processing
Approximately harmonic projection: Theoretical analysis and an algorithm
Pattern Recognition
Linear and nonlinear projective nonnegative matrix factorization
IEEE Transactions on Neural Networks
Nonnegative Principal Component Analysis for Cancer Molecular Pattern Discovery
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Active learning for constrained Dirichlet process mixture models
GEMS '10 Proceedings of the 2010 Workshop on GEometrical Models of Natural Language Semantics
Hypergraph-based multilevel matrix approximation for text information retrieval
CIKM '10 Proceedings of the 19th ACM international conference on Information and knowledge management
EURASIP Journal on Advances in Signal Processing - Special issue on time-frequency analysis and its applications to multimedia signals
Using non-negative matrix factorization for removing show-through
LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
IEEE Transactions on Neural Networks
Enhanced clustering of biomedical documents using ensemble non-negative matrix factorization
Information Sciences: an International Journal
Robust classification of face and head gestures in video
Image and Vision Computing
About nonnegative matrix factorization: on the posrank approximation
ICANNGA'11 Proceedings of the 10th international conference on Adaptive and natural computing algorithms - Volume Part II
Nonlinear nonnegative matrix factorization based on Mercer kernel construction
Pattern Recognition
Who should share what?: item-level social influence prediction for users and posts ranking
Proceedings of the 34th international ACM SIGIR conference on Research and development in Information Retrieval
Fast coordinate descent methods with variable selection for non-negative matrix factorization
Proceedings of the 17th ACM SIGKDD international conference on Knowledge discovery and data mining
Using population based algorithms for initializing nonnegative matrix factorization
ICSI'11 Proceedings of the Second international conference on Advances in swarm intelligence - Volume Part II
Kullback-Leibler divergence for nonnegative matrix factorization
ICANN'11 Proceedings of the 21th international conference on Artificial neural networks - Volume Part I
Extracting insights from social media with large-scale matrix approximations
IBM Journal of Research and Development
Correlated Noise: How it Breaks NMF, and What to Do About it
Journal of Signal Processing Systems
Algorithms for nonnegative matrix factorization with the β-divergence
Neural Computation
Sparse nonnegative matrix factorization with ℓ0-constraints
Neurocomputing
Archetypal analysis for machine learning and data mining
Neurocomputing
Proceedings of the fifth ACM international conference on Web search and data mining
Enriching short text representation in microblog for clustering
Frontiers of Computer Science in China
An alternating determination-optimization approach for an additive multi-index model
Computational Statistics & Data Analysis
A novel fast non-negative matrix factorization algorithm and its application in text clustering
ICSI'10 Proceedings of the First international conference on Advances in Swarm Intelligence - Volume Part II
Analysis of human skin hyper-spectral images by non-negative matrix factorization
MICAI'11 Proceedings of the 10th international conference on Artificial Intelligence: advances in Soft Computing - Volume Part II
Extracting non-negative basis images using pixel dispersion penalty
Pattern Recognition
Nonnegative matrix factorization via generalized product rule and its application for classification
LVA/ICA'12 Proceedings of the 10th international conference on Latent Variable Analysis and Signal Separation
Nesterov's iterations for NMF-Based supervised classification of texture patterns
LVA/ICA'12 Proceedings of the 10th international conference on Latent Variable Analysis and Signal Separation
NIMFA: a python library for nonnegative matrix factorization
The Journal of Machine Learning Research
Efficient Nonnegative Matrix Factorization via projected Newton method
Pattern Recognition
Fast bregman divergence NMF using taylor expansion and coordinate descent
Proceedings of the 18th ACM SIGKDD international conference on Knowledge discovery and data mining
Overlapping community detection via bounded nonnegative matrix tri-factorization
Proceedings of the 18th ACM SIGKDD international conference on Knowledge discovery and data mining
RolX: structural role extraction & mining in large graphs
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
Computing the Stationary Distribution of a Finite Markov Chain Through Stochastic Factorization
SIAM Journal on Matrix Analysis and Applications
Nonnegative matrix factorizations performing object detection and localization
Applied Computational Intelligence and Soft Computing
Understanding the semantic structure of human fMRI brain recordings with formal concept analysis
ICFCA'12 Proceedings of the 10th international conference on Formal Concept Analysis
Neighborhood preserving hashing for fast similarity search
Proceedings of the 20th ACM international conference on Multimedia
Correntropy-Based document clustering via nonnegative matrix factorization
ICANN'12 Proceedings of the 22nd international conference on Artificial Neural Networks and Machine Learning - Volume Part II
Spectral signal unmixing with interior-point nonnegative matrix factorization
ICANN'12 Proceedings of the 22nd international conference on Artificial Neural Networks and Machine Learning - Volume Part I
Hybrid online non-negative matrix factorization for clustering of documents
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part I
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part I
Online projective nonnegative matrix factorization for large datasets
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part III
Regularized nonnegative shared subspace learning
Data Mining and Knowledge Discovery
Solving non-negative matrix factorization by alternating least squares with a modified strategy
Data Mining and Knowledge Discovery
Overlapping community detection at scale: a nonnegative matrix factorization approach
Proceedings of the sixth ACM international conference on Web search and data mining
Semi-supervised clustering via constrained symmetric non-negative matrix factorization
BI'12 Proceedings of the 2012 international conference on Brain Informatics
Spatially correlated nonnegative matrix factorization for image analysis
IScIDE'12 Proceedings of the third Sino-foreign-interchange conference on Intelligent Science and Intelligent Data Engineering
Measuring the degree of face familiarity based on extended NMF
ACM Transactions on Applied Perception (TAP)
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
Information cartography: creating zoomable, large-scale maps of information
Proceedings of the 19th ACM SIGKDD international conference on Knowledge discovery and data mining
Network denoising in social media
Proceedings of the 2013 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining
Discriminant Convex Non-negative Matrix Factorization for the classification of human brain tumours
Pattern Recognition Letters
Multi-class learning from class proportions
Neurocomputing
Non-negative and sparse spectral clustering
Pattern Recognition
ADCS reaches adulthood: an analysis of the conference and its community over the last eighteen years
Proceedings of the 18th Australasian Document Computing Symposium
Detecting cohesive and 2-mode communities indirected and undirected networks
Proceedings of the 7th ACM international conference on Web search and data mining
Object removal and loss concealment using neighbor embedding methods
Image Communication
DMFSGD: a decentralized matrix factorization algorithm for network distance prediction
IEEE/ACM Transactions on Networking (TON)
Journal of Global Optimization
Global convergence of modified multiplicative updates for nonnegative matrix factorization
Computational Optimization and Applications
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Nonnegative matrix factorization (NMF) can be formulated as a minimization problem with bound constraints. Although bound-constrained optimization has been studied extensively in both theory and practice, so far no study has formally applied its techniques to NMF. In this letter, we propose two projected gradient methods for NMF, both of which exhibit strong optimization properties. We discuss efficient implementations and demonstrate that one of the proposed methods converges faster than the popular multiplicative update approach. A simple Matlab code is also provided.