Transductive Classification via Dual Regularization
ECML PKDD '09 Proceedings of the European Conference on Machine Learning and Knowledge Discovery in Databases: Part I
Local learning regularized nonnegative matrix factorization
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
Using underapproximations for sparse nonnegative matrix factorization
Pattern Recognition
Nonlinear non-negative component analysis algorithms
IEEE Transactions on Image Processing
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)
Projective nonnegative graph embedding
IEEE Transactions on Image Processing
Yes we can: simplex volume maximization for descriptive web-scale matrix factorization
CIKM '10 Proceedings of the 19th ACM international conference on Information and knowledge management
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part I
Semi-supervised projection clustering with transferred centroid regularization
ECML PKDD'10 Proceedings of the 2010 European conference on Machine learning and knowledge discovery in databases: Part III
Automatic rank determination in projective nonnegative matrix factorization
LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
Manifold elastic net: a unified framework for sparse dimension reduction
Data Mining and Knowledge Discovery
Nonlinear nonnegative matrix factorization based on Mercer kernel construction
Pattern Recognition
Proceedings of the 34th international ACM SIGIR conference on Research and development in Information Retrieval
Multi-task clustering via domain adaptation
Pattern Recognition
Proceedings of the 20th ACM international conference on Information and knowledge management
Robust nonnegative matrix factorization using L21-norm
Proceedings of the 20th ACM international conference on Information and knowledge management
Algorithms for nonnegative matrix factorization with the β-divergence
Neural Computation
Quadratic nonnegative matrix factorization
Pattern Recognition
Archetypal analysis for machine learning and data mining
Neurocomputing
Descriptive matrix factorization for sustainability Adopting the principle of opposites
Data Mining and Knowledge Discovery
Graph dual regularization non-negative matrix factorization for co-clustering
Pattern Recognition
Extracting non-negative basis images using pixel dispersion penalty
Pattern Recognition
Review article: Max-margin Non-negative Matrix Factorization
Image and Vision Computing
On trivial solution and scale transfer problems in graph regularized NMF
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
Fast nonnegative matrix tri-factorization for large-scale data co-clustering
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
Non-negative residual matrix factorization: problem definition, fast solutions, and applications
Statistical Analysis and Data Mining
Computing the Stationary Distribution of a Finite Markov Chain Through Stochastic Factorization
SIAM Journal on Matrix Analysis and Applications
Subclass discriminant Nonnegative Matrix Factorization for facial image analysis
Pattern Recognition
Linear semi-supervised projection clustering by transferred centroid regularization
Journal of Intelligent Information Systems
Relational co-clustering via manifold ensemble learning
Proceedings of the 21st ACM international conference on Information and knowledge management
Trust prediction via aggregating heterogeneous social networks
Proceedings of the 21st ACM international conference on Information and knowledge management
Semi-Nonnegative matrix factorization for motion segmentation with missing data
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part VII
Pairwise clustering with t-PLSI
ICANN'12 Proceedings of the 22nd international conference on Artificial Neural Networks and Machine Learning - Volume Part II
Learning the combinatorial structure of demonstrated behaviors with inverse feedback control
HBU'12 Proceedings of the Third international conference on Human Behavior Understanding
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part I
Adaptive multiplicative updates for projective nonnegative matrix factorization
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part III
Online projective nonnegative matrix factorization for large datasets
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part III
Robust integrated locally linear embedding
CCBR'12 Proceedings of the 7th Chinese conference on Biometric Recognition
Proceedings of the 19th ACM SIGKDD international conference on Knowledge discovery and data mining
Unsupervised sentiment analysis with emotional signals
Proceedings of the 22nd international conference on World Wide Web
Classification approach based on non-negative least squares
Neurocomputing
Discriminative feature selection for multi-view cross-domain learning
Proceedings of the 22nd ACM international conference on Conference on information & knowledge management
Discriminant Convex Non-negative Matrix Factorization for the classification of human brain tumours
Pattern Recognition Letters
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
Non-negative and sparse spectral clustering
Pattern Recognition
Social trust prediction using heterogeneous networks
ACM Transactions on Knowledge Discovery from Data (TKDD)
A sparse nonnegative matrix factorization technique for graph matching problems
Pattern Recognition
Personalized entity recommendation: a heterogeneous information network approach
Proceedings of the 7th ACM international conference on Web search and data mining
Discriminative Orthogonal Nonnegative matrix factorization with flexibility for data representation
Expert Systems with Applications: An International Journal
Similarity-based clustering by left-stochastic matrix factorization
The Journal of Machine Learning Research
Journal of Global Optimization
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We present several new variations on the theme of nonnegative matrix factorization (NMF). Considering factorizations of the form X=FG^T, we focus on algorithms in which G is restricted to containing nonnegative entries, but allowing the data matrix X to have mixed signs, thus extending the applicable range of NMF methods. We also consider algorithms in which the basis vectors of F are constrained to be convex combinations of the data points. This is used for a kernel extension of NMF. We provide algorithms for computing these new factorizations and we provide supporting theoretical analysis. We also analyze the relationships between our algorithms and clustering algorithms, and consider the implications for sparseness of solutions. Finally, we present experimental results that explore the properties of these new methods.