Infinite non-negative matrix factorization
Mikkel Nørgaard Schmidt, Morten Mørup · Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU) · 2010
We propose the infinite non-negative matrix factorization (inmf) which assumes a potentially unbounded number of components in the Bayesian nmf model. We devise an inference scheme based on Gibbs sampling in conjunction with Metropolis-Hastings moves that admits cross-dimensional exploration of the posterior density. The approach can effectively establish the model order for nmf at a less computational cost than existing approaches such as thermodynamic integration and existing reversible jump Markov chain Monte Carlo sampling schemes. On synthetic and real data we demonstrate the success of (inmf).