The computer generation of multinomial random variates
Computational Statistics & Data Analysis
Singularity analysis and asymptotics of Bernoulli sums
Theoretical Computer Science
Monte Carlo EM with importance reweighting and its applications in random effects models
Computational Statistics & Data Analysis
Variational Extensions to EM and Multinomial PCA
ECML '02 Proceedings of the 13th European Conference on Machine Learning
Non-negative Matrix Factorization with Sparseness Constraints
The Journal of Machine Learning Research
Relation between PLSA and NMF and implications
Proceedings of the 28th annual international ACM SIGIR conference on Research and development in information retrieval
Pattern Recognition and Machine Learning (Information Science and Statistics)
Pattern Recognition and Machine Learning (Information Science and Statistics)
Clustering with Bregman Divergences
The Journal of Machine Learning Research
Bayesian independent component analysis: Variational methods and non-negative decompositions
Digital Signal Processing
Nonnegative matrix factorization with Gaussian process priors
Computational Intelligence and Neuroscience - Advances in Nonnegative Matrix and Tensor Factorization
Editorial: advances in nonnegative matrix and tensor factorization
Computational Intelligence and Neuroscience - Advances in Nonnegative Matrix and Tensor Factorization
Monte Carlo Strategies in Scientific Computing
Monte Carlo Strategies in Scientific Computing
Entropy computations via analytic depoissonization
IEEE Transactions on Information Theory
NMF-based multimodal image indexing for querying by visual example
Proceedings of the ACM International Conference on Image and Video Retrieval
A nonnegative blind source separation model for binary test data
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Probabilistic latent tensor factorization
LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
Real-time recognition of percussive sounds by a model-based method
EURASIP Journal on Advances in Signal Processing - Special issue on musical applications of real-time signal processing
CMMR'10 Proceedings of the 7th international conference on Exploring music contents
Algorithms for nonnegative matrix factorization with the β-divergence
Neural Computation
Algorithms for probabilistic latent tensor factorization
Signal Processing
Brain connectivity analysis: a short survey
Computational Intelligence and Neuroscience
Non-negative multiple matrix factorization
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
| Hi-index | 0.00 |
We describe nonnegative matrix factorisation (NMF) with a Kullback-Leibler (KL) error measure in a statistical framework, with a hierarchical generative model consisting of an observation and a prior component. Omitting the prior leads to the standard KL-NMF algorithms as special cases, where maximum likelihood parameter estimation is carried out via the Expectation-Maximisation (EM) algorithm. Starting from this view, we develop full Bayesian inference via variational Bayes or Monte Carlo. Our construction retains conjugacy and enables us to develop more powerful models while retaining attractive features of standard NMF such as monotonic convergence and easy implementation. We illustrate our approach on model order selection and image reconstruction.