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====== Example Project Title ====== | Authors | Steve Jobs and Bill Grates | | Affiliation | Apple and Michaelsoft | | Code | [[https://github.com/bmcfee/librosa|Github Link]] | Singing voice separation task is to separate singing voices from music accompaniment. We propose spoken lyrics informed source separation. ===== - Background: Singing Voice Separation ===== * ROBUST PRINCIPAL COMPONENT ANALYSIS\\ minimize $||A||_*+ \lambda ||E||_1$, subject to $A+E = M$\\ Music accompaniment can be assumed to be in a low-rank subspace, because of its repetition structure.\\ Singing voices can be regarded as relatively sparse within songs. * Nonnegative matrix factorization ===== - Proposed Spoken Lyrics-informed source separation ===== * HAMR-RPCA * HAMR-NMF ==== - HAMR-RPCA ==== * HAMR-RPCA\\ minimize $||A||_* + \lambda ||E||_1 + \gamma || E - E_0 ||_F ^2$ subject to $A+E = M$\\ * Frame work\\ Given mixed signals, run RPCA to obtain $E_{RPCA}$.\\ We use dynamic time warping to warp spoken lyrics E_{spoken} to E_{RPCA}.\\ Define E_0 as the E_{spoken} for HAMR-RPCA. (Results -- with ground truth singing voice as E_0) (Results -- with ground truth singing voice from spoken lyrics) Conclusion ==== - Title of a subsection ====
