Online algorithms for Nonnegative Matrix Factorization with the Itakura-Saito divergence
Overview & Synopsis
Nonnegative matrix factorization (NMF) is now a common tool for audio source separation. When learning NMF on large audio databases, one major drawback is that the complexity in time is O(FKN) when updating the dictionary (where (F;N) is the dimension of the input power spectrograms, and K the number of basis spectra), thus forbidding its application on signals longer than an hour. We provide an online algorithm with a complexity of O(FK) in time and memory for updates in the dictionary. We show on audio simulations that the online approach is faster for short audio signals and allows to analyze audio signals of several hours.
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Document Information
| Document Title | Online algorithms for Nonnegative Matrix Factorization with the Itakura-Saito divergence |
|---|---|
| Author / Organization | Augustin Lefèvre, Francis Bach, Cédric Févotte |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2011 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-191737 |
| Original Source Link | Visit Source Page on hal.science » |