A Nonnegative Projection Based Algorithm for Low-Rank Nonnegative Matrix Approximation

摘要

Nonnegative matrix factorization/approximation (NMF/ NMA) is a widely used method for data analysis. So far, many multiplicative update algorithms have been developed for NMF. In this paper, we propose a nonnegative projection based NMF algorithm, which is different from the conventional multiplicative update NMF algorithms and decreases the objective function by performing Procrustes rotation and nonnegative projection alternately. The experiment results demonstrate that the new algorithm converges much faster than traditional ones.