Determining a Suitable Desired Factors for Nonnegative Matrix Factorization in Polyphonic Music Transcription
Nonnegative Matrix Factorization (NMF) is a technique that factorizes a given matrix V into W and H: NMF(V-mn) -> WmrHrn. NMF has been applied to various problem domains. So far there has been no fixed rule to select the number of NW factoring (i.e. the desired factor r). In music transcription,...
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| Format: | Book Section |
| Language: | English |
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IEEE Xplore
2007
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| Subjects: | |
| Online Access: | http://shdl.mmu.edu.my/3186/ http://shdl.mmu.edu.my/3186/1/Determining%20a%20Suitable%20Desired%20Factors%20for%20Nonnegative%20Matrix%20Factorization%20in%20Polyphonic%20Music%20Transcription.pdf |
| _version_ | 1848790257918541824 |
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| author | Sophea, Seng Phon-Amnuaisuk, Somnuk |
| author_facet | Sophea, Seng Phon-Amnuaisuk, Somnuk |
| author_sort | Sophea, Seng |
| building | MMU Institutional Repository |
| collection | Online Access |
| description | Nonnegative Matrix Factorization (NMF) is a technique that factorizes a given matrix V into W and H: NMF(V-mn) -> WmrHrn. NMF has been applied to various problem domains. So far there has been no fixed rule to select the number of NW factoring (i.e. the desired factor r). In music transcription, the value r has the semantic of the desired musical line. If the r is not set correctly, the transcription output will not be accurate. In this paper, we present a tactic to get around this issue. We found that by concatenating an input audio stream with another audio stream with prior knowledge of r, where r >= the number of musical lines; we are guaranteed to get the correct number of musical lines in the transcription output. In our approach, NMF is applied to extract musical notes from FFT coefficients extracted from input polyphonic audio streams. The output from our experiment is encouraging and we hope to explore this further in the future. |
| first_indexed | 2025-11-14T18:09:45Z |
| format | Book Section |
| id | mmu-3186 |
| institution | Multimedia University |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:09:45Z |
| publishDate | 2007 |
| publisher | IEEE Xplore |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-31862013-11-20T07:27:24Z http://shdl.mmu.edu.my/3186/ Determining a Suitable Desired Factors for Nonnegative Matrix Factorization in Polyphonic Music Transcription Sophea, Seng Phon-Amnuaisuk, Somnuk T Technology (General) QA75.5-76.95 Electronic computers. Computer science Nonnegative Matrix Factorization (NMF) is a technique that factorizes a given matrix V into W and H: NMF(V-mn) -> WmrHrn. NMF has been applied to various problem domains. So far there has been no fixed rule to select the number of NW factoring (i.e. the desired factor r). In music transcription, the value r has the semantic of the desired musical line. If the r is not set correctly, the transcription output will not be accurate. In this paper, we present a tactic to get around this issue. We found that by concatenating an input audio stream with another audio stream with prior knowledge of r, where r >= the number of musical lines; we are guaranteed to get the correct number of musical lines in the transcription output. In our approach, NMF is applied to extract musical notes from FFT coefficients extracted from input polyphonic audio streams. The output from our experiment is encouraging and we hope to explore this further in the future. IEEE Xplore 2007-11 Book Section NonPeerReviewed text en http://shdl.mmu.edu.my/3186/1/Determining%20a%20Suitable%20Desired%20Factors%20for%20Nonnegative%20Matrix%20Factorization%20in%20Polyphonic%20Music%20Transcription.pdf Sophea, Seng and Phon-Amnuaisuk, Somnuk (2007) Determining a Suitable Desired Factors for Nonnegative Matrix Factorization in Polyphonic Music Transcription. In: International Symposium on Information Technology Convergence, 2007. ISITC 2007. IEEE Xplore, pp. 166-170. ISBN 0-7695-3045-1 http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4410627 10.1109/ISITC.2007.50 10.1109/ISITC.2007.50 10.1109/ISITC.2007.50 |
| spellingShingle | T Technology (General) QA75.5-76.95 Electronic computers. Computer science Sophea, Seng Phon-Amnuaisuk, Somnuk Determining a Suitable Desired Factors for Nonnegative Matrix Factorization in Polyphonic Music Transcription |
| title | Determining a Suitable Desired Factors for Nonnegative Matrix Factorization in Polyphonic Music Transcription |
| title_full | Determining a Suitable Desired Factors for Nonnegative Matrix Factorization in Polyphonic Music Transcription |
| title_fullStr | Determining a Suitable Desired Factors for Nonnegative Matrix Factorization in Polyphonic Music Transcription |
| title_full_unstemmed | Determining a Suitable Desired Factors for Nonnegative Matrix Factorization in Polyphonic Music Transcription |
| title_short | Determining a Suitable Desired Factors for Nonnegative Matrix Factorization in Polyphonic Music Transcription |
| title_sort | determining a suitable desired factors for nonnegative matrix factorization in polyphonic music transcription |
| topic | T Technology (General) QA75.5-76.95 Electronic computers. Computer science |
| url | http://shdl.mmu.edu.my/3186/ http://shdl.mmu.edu.my/3186/ http://shdl.mmu.edu.my/3186/ http://shdl.mmu.edu.my/3186/1/Determining%20a%20Suitable%20Desired%20Factors%20for%20Nonnegative%20Matrix%20Factorization%20in%20Polyphonic%20Music%20Transcription.pdf |