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Music Signal Separation Using Supervised Nonnegative Matrix Factorization with Orthogonality and Maximum-divergence Penalties 直直直直直直直直直直直直直直直直直 直直直直直直直直直直直直直直直直直直直直直直 直直直直 , 直直直 , 直直直直 , 直直直直 直直直直直直直直直直直直直直 () 直直直 , 直直直直 直直直直直直直直 ()

Music signal separation using supervised nonnegative matrix factorization with orthogonality and maximum-divergence penalties (in Japanese)

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  1. 1. Music Signal Separation Using Supervised Nonnegative Matrix Factorization with Orthogonality and Maximum-divergence Penalties , , , ,
  2. 2. 2 4 2
  3. 3. 2 4 3
  4. 4. - Time Frequency 2 2 4
  5. 5. 2 4 5
  6. 6. (nonnegative matrix factorization: NMF) NMF : [Lee, et al., 2012] Amplitude Amplitude () () () Time : : : Time Frequency Frequency 6
  7. 7. : NMF (SNMF) [Smaragdis, et al., 2007] () (dictionary) 7
  8. 8. SNMF 8
  9. 9. : SNMF 9 () SNMF
  10. 10. : SNMF 10 () SNMF
  11. 11. : SNMF 11 () SNMF
  12. 12. 2 4 12
  13. 13. : SNMF () SNMF (Penalized SNMF: PSNMF) 13
  14. 14. SNMF 14 : SNMF: : -divergence [Eguchi, et al., 2001] ()
  15. 15. PSNMF 15 2 : SNMF: PSNMF: ()
  16. 16. 1 NMF 16 NMF
  17. 17. 1 NMF 0 17
  18. 18. PSNMF 18
  19. 19. PSNMF (Convex) (Concave) : Jensen : 19
  20. 20. PSNMF : Jensen 20
  21. 21. PSNMF 21
  22. 22. PSNMF 22
  23. 23. PSNMF 23
  24. 24. 2 4 24
  25. 25. MIDI Clarinet, Oboe, Piano, Cello4 24 21244 MIDI 25 224
  26. 26. SDR [Vincent, 2006] 24 MIDI 224 : 100, : 50 SNMFPSNMF 26
  27. 27. 0 2 4 6 8 10 12 14 16 SDR[dB] 0 2 4 6 8 10 12 14 16 SDR[dB] 0 2 4 6 8 10 12 14 16 SDR[dB] 12 : 2 27 SNMF PSNMF () PSNMF () PSNMF () PSNMF () PSNMF () PSNMF () 0 1 2 0 1 2 0 1 2 SNMF SNMF
  28. 28. 4 2 0 2 4 6 8 10 12 14 SDR[dB] 0 2 4 6 8 10 12 14 SDR[dB] 0 2 4 6 8 10 12 14 SDR[dB] : 4 28 PSNMF () PSNMF () PSNMF () PSNMF () PSNMF () PSNMF () 0 1 2 0 1 2 0 1 2 SNMF SNMF SNMF
  29. 29. PSNMF (Cello Oboe) 29 SNMF PSNMF
  30. 30. NMF NMF (PSNMF) 30