Infinite-state spectrum model for music signal analysis
Masahiro Nakano, Jonathan Le Roux, Hirokazu Kameoka, Nobutaka Ono, Shigeki Sagayama · 2011
This paper presents a nonparametric Bayesian extension of non-negative matrix factorization (NMF) for music signal analysis. Instrument sounds often exhibit non-stationary spectral characteristics. We introduce infinite-state spectral bases into NMF to represent time-varying spectra in polyphonic music signals. We describe our extension of NMF with infinite-state spectral bases generated by the Dirichlet process in a statistical framework, derive an efficient optimization algorithm based on collapsed variational inference, and validate the framework on audio data.