Non-negative Matrix Factorization and Its Variants with Applications to Audio Signal Processing

Abstract

In this paper, I will give a brief introduction to a data analysis technique called non-negative matrix factorization (NMF), which has attracted a lot of attention in the field of audio signal processing in recent years. I will mention some basic properties of NMF, effects induced by the non-negative constraints, how to derive an iterative algorithm for NMF, and some attempts that have been made to apply NMF to audio processing problems.