메뉴 건너뛰기




Volumn 23, Issue 5, 2012, Pages 703-716

Variational regularized 2-D nonnegative matrix factorization

Author keywords

Audio process machine learning; nonnegative matrix factorization; single channel blind source separation; sparsity aware learning; variational regularization

Indexed keywords

ADAPTIVE REGULARIZATION; COMPUTATIONALLY EFFICIENT; MAXIMUM A POSTERIORI PROBABILITIES; NONNEGATIVE MATRIX FACTORIZATION; SINGLE CHANNEL BLIND SOURCE SEPARATIONS; SPARSITY-AWARE LEARNING; VARIATIONAL APPROACHES; VARIATIONAL REGULARIZATION;

EID: 84876153078     PISSN: 2162237X     EISSN: 21622388     Source Type: Journal    
DOI: 10.1109/TNNLS.2012.2187925     Document Type: Article
Times cited : (59)

References (39)
  • 1
    • 79960124996 scopus 로고    scopus 로고
    • Iterative algorithm for joint zero diagonalization with application in blind source separation
    • Nov.
    • W. T. Zhang and S. T. Lou, "Iterative algorithm for joint zero diagonalization with application in blind source separation," IEEE Trans. Neural Netw., vol. 22, no. 7, pp. 1107-1118, Nov. 2011.
    • (2011) IEEE Trans. Neural Netw , vol.22 , Issue.7 , pp. 1107-1118
    • Zhang, W.T.1    Lou, S.T.2
  • 2
    • 0000946335 scopus 로고    scopus 로고
    • An Iterative inversion approach to blind source separation
    • Nov
    • S. C. Alvarez, A. Cichocki, and L. C. Ribas, "An Iterative inversion approach to blind source separation," IEEE Trans. Neural Netw., vol. 11, no. 6, pp. 1423-1437, Nov. 2000.
    • (2000) IEEE Trans. Neural Netw , vol.11 , Issue.6 , pp. 1423-1437
    • Alvarez, S.C.1    Cichocki, A.2    Ribas, L.C.3
  • 3
    • 79953821926 scopus 로고    scopus 로고
    • Online blind source separation using incremental nonnegative matrix factorization with volume constraint
    • Nov.
    • G. Zhou, Z. Yang, S. Xie, and J. Yang, "Online blind source separation using incremental nonnegative matrix factorization with volume constraint," IEEE Trans. Neural Netw., vol. 22, no. 4, pp. 550-560, Nov. 2011.
    • (2011) IEEE Trans. Neural Netw , vol.22 , Issue.4 , pp. 550-560
    • Zhou, G.1    Yang, Z.2    Xie, S.3    Yang, J.4
  • 4
    • 0001093042 scopus 로고    scopus 로고
    • Algorithms for non-negative matrix factorization
    • D. D. Lee and H. S. Seung, "Algorithms for non-negative matrix factorization," in Proc. NIPS, 2000, pp. 556-562.
    • (2000) Proc. NIPS , pp. 556-562
    • Lee, D.D.1    Seung, H.S.2
  • 5
    • 0028561099 scopus 로고
    • Positive matrix factorization: A non-negative factor model with optimal utilization of error estimates of data values
    • P. Paatero and U. Tapper, "Positive matrix factorization: A non-negative factor model with optimal utilization of error estimates of data values," Environmetrics, vol. 5, no. 2, pp. 111-126, 1994.
    • (1994) Environmetrics , vol.5 , Issue.2 , pp. 111-126
    • Paatero, P.1    Tapper, U.2
  • 6
    • 76949094445 scopus 로고    scopus 로고
    • Multichannel nonnegative matrix factorization in convolutive mixtures for audio source separation
    • Mar.
    • A. Ozerov and C. Févotte, "Multichannel nonnegative matrix factorization in convolutive mixtures for audio source separation," IEEE Trans. Audio, Speech, Lang. Process., vol. 18, no. 3, pp. 550-563, Mar. 2010.
    • (2010) IEEE Trans. Audio, Speech, Lang. Process , vol.18 , Issue.3 , pp. 550-563
    • Ozerov, A.1    Févotte, C.2
  • 7
    • 0033592606 scopus 로고    scopus 로고
    • Learning the parts of objects by nonnegative matrix factorization
    • D. Lee and H. Seung, "Learning the parts of objects by nonnegative matrix factorization," Nature, vol. 401, no. 6755, pp. 788-791, 1999.
    • (1999) Nature , vol.401 , Issue.6755 , pp. 788-791
    • Lee, D.1    Seung, H.2
  • 8
    • 23744456750 scopus 로고    scopus 로고
    • When does non-negative matrix factorization give a correct decomposition into parts?
    • D. Donoho and V. Stodden, "When does non-negative matrix factorization give a correct decomposition into parts?" in Proc. Adv. Neural Inf. Process. Syst., vol. 17. 2003, pp. 1-8.
    • (2003) Proc. Adv. Neural Inf. Process. Syst , vol.17 , pp. 1-8
    • Donoho, D.1    Stodden, V.2
  • 9
    • 76949083547 scopus 로고    scopus 로고
    • Enforcing harmonicity and smoothness in Bayesian non-negative matrix factorization applied to polyphonic music transcription
    • Mar.
    • N. Bertin, R. Badeau, and E. Vincent, "Enforcing harmonicity and smoothness in Bayesian non-negative matrix factorization applied to polyphonic music transcription," IEEE Trans. Audio, Speech, Lang. Process., vol. 18, no. 3, pp. 538-5493, Mar. 2010.
    • (2010) IEEE Trans. Audio, Speech, Lang. Process , vol.18 , Issue.3 , pp. 538-5493
    • Bertin, N.1    Badeau, R.2    Vincent, E.3
  • 10
    • 76949108729 scopus 로고    scopus 로고
    • Adaptive harmonic spectral decomposition for multiple pitch estimation
    • Mar.
    • E. Vincent, N. Bertin, and R. Badeau, "Adaptive harmonic spectral decomposition for multiple pitch estimation," IEEE Trans. Audio, Speech, Lang. Process., vol. 18, no. 3, pp. 528-537, Mar. 2010.
    • (2010) IEEE Trans. Audio, Speech, Lang. Process , vol.18 , Issue.3 , pp. 528-537
    • Vincent, E.1    Bertin, N.2    Badeau, R.3
  • 12
    • 18444370569 scopus 로고    scopus 로고
    • Nonnegative features of spectro-temporal sounds for classification
    • Jul
    • Y. C. Cho and S. Choi, "Nonnegative features of spectro-temporal sounds for classification," Pattern Recognit. Lett., vol. 26, no. 9, pp. 1327-1336, Jul. 2005.
    • (2005) Pattern Recognit. Lett , vol.26 , Issue.9 , pp. 1327-1336
    • Cho, Y.C.1    Choi, S.2
  • 13
    • 0038460232 scopus 로고    scopus 로고
    • Algorithms for non-negative independent component analysis
    • May
    • M. D. Plumbley, "Algorithms for non-negative independent component analysis," IEEE Trans. Neural Netw., vol. 14, no. 3, pp. 534-543, May 2003.
    • (2003) IEEE Trans. Neural Netw , vol.14 , Issue.3 , pp. 534-543
    • Plumbley, M.D.1
  • 14
    • 34247173538 scopus 로고    scopus 로고
    • Nonnegative matrix factorization with constrained second-order optimization
    • R. Zdunek and A. Cichocki, "Nonnegative matrix factorization with constrained second-order optimization," Int. J. Signal Process., vol. 87, no. 8, pp. 1904-1916, 2007.
    • (2007) Int. J. Signal Process , vol.87 , Issue.8 , pp. 1904-1916
    • Zdunek, R.1    Cichocki, A.2
  • 15
    • 10044269618 scopus 로고    scopus 로고
    • Nonnegative matrix factorization for rapid recovery of constituent spectra in magnetic resonance chemical shift imaging of the brain
    • Dec
    • P. Sajda, S. Du, T. Brown, R. Stoyanova, D. Shungu, X. Mao, and L. Parra, "Nonnegative matrix factorization for rapid recovery of constituent spectra in magnetic resonance chemical shift imaging of the brain," IEEE Trans. Med. Imag., vol. 23, no. 12, pp. 1453-1465, Dec. 2004.
    • (2004) IEEE Trans. Med. Imag , vol.23 , Issue.12 , pp. 1453-1465
    • Sajda, P.1    Du, S.2    Brown, T.3    Stoyanova, R.4    Shungu, D.5    Mao, X.6    Parra, L.7
  • 16
    • 35548969471 scopus 로고    scopus 로고
    • Projected gradient methods for nonnegative matrix factorization
    • Oct
    • C.-J. Lin, "Projected gradient methods for nonnegative matrix factorization," Int. J. Neural Comput., vol. 19, no. 10, pp. 2756-2779, Oct. 2007.
    • (2007) Int. J. Neural Comput , vol.19 , Issue.10 , pp. 2756-2779
    • Lin, C.-J.1
  • 17
    • 34247614991 scopus 로고    scopus 로고
    • Unsupervised data reduction
    • O. Okun and H. Priisalu, "Unsupervised data reduction," Int. J. Signal Process., vol. 87, no. 9, pp. 2260-2267, 2007.
    • (2007) Int. J. Signal Process , vol.87 , Issue.9 , pp. 2260-2267
    • Okun, O.1    Priisalu, H.2
  • 18
    • 33847655586 scopus 로고    scopus 로고
    • A generalized divergence measure for nonnegative matrix factorization
    • R. Kompass, "A generalized divergence measure for nonnegative matrix factorization," Int. J. Neural Comput., vol. 19, no. 3, pp. 780-791, 2007.
    • (2007) Int. J. Neural Comput , vol.19 , Issue.3 , pp. 780-791
    • Kompass, R.1
  • 19
    • 33745683306 scopus 로고    scopus 로고
    • Csiszár's divergences for nonnegative matrix factorization: Family of new algorithms
    • Charleston, SC Mar
    • A. Cichocki, R. Zdunek, and S. I. Amari, "Csiszár's divergences for nonnegative matrix factorization: Family of new algorithms," in Proc. Int. Conf. Indepen. Comp. Anal. Blind Signal Separ., vol. 3889. Charleston, SC, Mar. 2006, pp. 32-39.
    • (2006) Proc. Int. Conf. Indepen. Comp. Anal. Blind Signal Separ 3889 , pp. 32-39
    • Cichocki, A.1    Zdunek, R.2    Amari, S.I.3
  • 20
    • 84900510076 scopus 로고    scopus 로고
    • Non-negative matrix factorization with sparseness constraints
    • Aug
    • P. O. Hoyer, "Non-negative matrix factorization with sparseness constraints," Int. J. Mach. Learn. Res., vol. 5, pp. 1457-1469, Aug. 2004.
    • (2004) Int. J. Mach. Learn. Res , vol.5 , pp. 1457-1469
    • Hoyer, P.O.1
  • 22
    • 0032131292 scopus 로고    scopus 로고
    • Atomic decomposition by basis pursuit
    • S. S. Chen, D. L. Donoho, and M. A. Saunders, "Atomic decomposition by basis pursuit," Int. J. Sci. Comput., vol. 20, no. 1, pp. 33-61, 1998.
    • (1998) Int. J. Sci. Comput , vol.20 , Issue.1 , pp. 33-61
    • Chen, S.S.1    Donoho, D.L.2    Saunders, M.A.3
  • 23
    • 33751560009 scopus 로고
    • Regularization in the selection of radial basis function centers
    • May
    • M. J. L. Orr, "Regularization in the selection of radial basis function centers," Int. J. Neural Comput., vol. 7, no. 3, pp. 606-623, May 1995.
    • (1995) Int. J. Neural Comput , vol.7 , Issue.3 , pp. 606-623
    • Orr, M.J.L.1
  • 24
    • 67650927380 scopus 로고    scopus 로고
    • Bayesian inference for nonnegative matrix factorization models
    • Jan
    • A. T. Cemgil, "Bayesian inference for nonnegative matrix factorization models," Int. J. Comput. Intell. Neurosci., vol. 2009, p. 785152, Jan. 2009.
    • (2009) Int. J. Comput. Intell. Neurosci , vol.2009 , pp. 785152
    • Cemgil, A.T.1
  • 25
    • 33750402597 scopus 로고    scopus 로고
    • Separation of non-negative mixture of non-negative sources using a Bayesian approach and MCMC sampling
    • Nov
    • S. Moussaoui, D. Brie, A. Mohammad-Djafari, and C. Carteret, "Separation of non-negative mixture of non-negative sources using a Bayesian approach and MCMC sampling," IEEE Trans. Signal Process., vol. 54, no. 11, pp. 4133-4145, Nov. 2006.
    • (2006) IEEE Trans. Signal Process , vol.54 , Issue.11 , pp. 4133-4145
    • Moussaoui, S.1    Brie, D.2    Mohammad-Djafari, A.3    Carteret, C.4
  • 26
    • 67149090611 scopus 로고    scopus 로고
    • Bayesian non-negative matrix factorization
    • Paraty, Brazil
    • M. N. Schmidt, O. Winther, and L. K. Hansen, "Bayesian non-negative matrix factorization," in Proc. 8th Int. Conf., Paraty, Brazil, 2009, pp. 540-547.
    • (2009) Proc. 8th Int. Conf. , pp. 540-547
    • Schmidt, M.N.1    Winther, O.2    Hansen, L.K.3
  • 27
    • 56449131205 scopus 로고    scopus 로고
    • Bayesian probabilistic matrix factorization using Markov chain Monte Carlo
    • R. Salakhutdinov and A. Mnih, "Bayesian probabilistic matrix factorization using Markov chain Monte Carlo," in Proc. 25th Int. Conf. Mach. Learn., 2008, pp. 880-887.
    • (2008) Proc. 25th Int. Conf. Mach. Learn , pp. 880-887
    • Salakhutdinov, R.1    Mnih, A.2
  • 28
    • 84863731295 scopus 로고    scopus 로고
    • Tuning pruning in sparse non-negative matrix factorization
    • Glasgow, Scotland
    • M. Mørup and K. L. Hansen, "Tuning pruning in sparse non-negative matrix factorization," in Proc. 17th Eur. Signal Process. Conf., Glasgow, Scotland, 2009, pp. 1-5.
    • (2009) Proc. 17th Eur. Signal Process. Conf. , pp. 1-5
    • Mørup, M.1    Hansen, K.L.2
  • 29
    • 47649089275 scopus 로고    scopus 로고
    • Sparse non-negative matrix factor 2-D deconvolution
    • Univ. Denmark, Lyngby, Denmark, Tech. Rep
    • M. Morup and M. N. Schmidt, "Sparse non-negative matrix factor 2-D deconvolution," Inf. Math. Model., Univ. Denmark, Lyngby, Denmark, Tech. Rep., 2006.
    • (2006) Inf. Math. Model.
    • Morup, M.1    Schmidt, M.N.2
  • 30
    • 33745711487 scopus 로고    scopus 로고
    • Nonnegative matrix factor 2-D deconvolution for blind single channel source separation
    • M. N. Schmidt and M. Morup, "Nonnegative matrix factor 2-D deconvolution for blind single channel source separation," in Proc. Int. Conf. Indepen. Comp. Anal. Blind Signal Separat., vol. 3889. 2006, pp. 700-707.
    • (2006) Proc. Int. Conf. Indepen. Comp. Anal. Blind Signal Separat , vol.3889 , pp. 700-707
    • Schmidt, M.N.1    Morup, M.2
  • 31
    • 33750512942 scopus 로고    scopus 로고
    • Variational learning for rectified factor analysis
    • M. Harva and A. Kaban, "Variational learning for rectified factor analysis," Signal Process., vol. 87, no. 3, pp. 509-527, 2007.
    • (2007) Signal Process , vol.87 , Issue.3 , pp. 509-527
    • Harva, M.1    Kaban, A.2
  • 34
    • 33744975847 scopus 로고    scopus 로고
    • Performance measurement in blind audio source separation
    • Jul
    • E. Vincent, R. Gribonval, and C. Fevotte, "Performance measurement in blind audio source separation," IEEE Trans. Speech, Audio Lang. Process., vol. 14, no. 4, pp. 1462-1469, Jul. 2005.
    • (2005) IEEE Trans. Speech, Audio Lang. Process , vol.14 , Issue.4 , pp. 1462-1469
    • Vincent, E.1    Gribonval, R.2    Fevotte, C.3
  • 35
    • 84892233308 scopus 로고    scopus 로고
    • On ideal binary mask as the computational goal of auditory scene analysis
    • P. Divenyi, Ed. Norwell, MA: Kluwer
    • D. L. Wang, "On ideal binary mask as the computational goal of auditory scene analysis," in Speech Separation by Humans and Machines, P. Divenyi, Ed. Norwell, MA: Kluwer, 2005, pp. 181-197.
    • (2005) Speech Separation by Humans and Machines , pp. 181-197
    • Wang, D.L.1
  • 36
    • 0024610919 scopus 로고
    • A tutorial on hidden Markov models and selected applications in speech recognition
    • Feb
    • L. R. Rabiner, "A tutorial on hidden Markov models and selected applications in speech recognition," Proc. IEEE, vol. 77, no. 2, pp. 257-286, Feb. 1989.
    • (1989) Proc IEEE , vol.77 , Issue.2 , pp. 257-286
    • Rabiner, L.R.1
  • 37
    • 50249152311 scopus 로고    scopus 로고
    • Monaural sound source separation by nonnegative matrix factorization with temporal continuity and sparseness criteria
    • Mar
    • T. Virtanen, "Monaural sound source separation by nonnegative matrix factorization with temporal continuity and sparseness criteria," IEEE Trans. Audio, Speech, Lang. Process., vol. 15, no. 3, pp. 1066-1074, Mar. 2007.
    • (2007) IEEE Trans. Audio, Speech, Lang. Process , vol.15 , Issue.3 , pp. 1066-1074
    • Virtanen, T.1
  • 38
    • 25444453615 scopus 로고    scopus 로고
    • Non-negative matrix factor deconvolution; Extraction of multiple sound sources from monophonic inputs
    • Grenada, Spain Sep
    • P. Smaragdis, "Non-negative matrix factor deconvolution; extraction of multiple sound sources from monophonic inputs," in Proc. 5th Int. Conf. Indepen. Comp. Anal. Blind Signal Separat., Grenada, Spain, Sep. 2004, pp. 1-8.
    • (2004) Proc. 5th Int. Conf. Indepen. Comp. Anal. Blind Signal Separat. , pp. 1-8
    • Smaragdis, P.1
  • 39
    • 49749085046 scopus 로고    scopus 로고
    • Single-mixture audio source separation by subspace decomposition of Hilbert spectrum
    • Mar
    • M. K. I. Molla and K. Hirose, "Single-mixture audio source separation by subspace decomposition of Hilbert spectrum," IEEE Trans. Audio, Speech Lang. Process., vol. 15, no. 3, pp. 893-900, Mar. 2007.
    • (2007) IEEE Trans. Audio, Speech Lang. Process , vol.15 , Issue.3 , pp. 893-900
    • Molla, M.K.I.1    Hirose, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.