北村大地, "非負値行列分解の確率的生成モデルと多チャネル音源分離への応用," 慶應義塾大学理工学部電子工学科湯川研究室 招待講演, Kanagawa, November, 2015.
Daichi Kitamura, "Generative model in nonnegative matrix factorization and its application to multichannel sound source separation," Keio University, Science and Technology, Department of Electronics and Electrical Engineeing, Yukawa Laboratory, Invited Talk, Kanagawa, November, 2015.
Similar to 非負値行列分解の確率的生成モデルと多チャネル音源分離への応用 (Generative model in nonnegative matrix factorization and its application to multichannel sound source separation)
Similar to 非負値行列分解の確率的生成モデルと多チャネル音源分離への応用 (Generative model in nonnegative matrix factorization and its application to multichannel sound source separation) (7)
Depth estimation of sound images using directional clustering and activation-...
非負値行列分解の確率的生成モデルと多チャネル音源分離への応用 (Generative model in nonnegative matrix factorization and its application to multichannel sound source separation)
1. 非負値行列分解の確率的生成モデルと
多チャネル音源分離への応用
Generative model in nonnegative matrix factorization and its
application to multichannel sound source separation
Daichi Kitamura
Ph.D. Student
Department of Informatics
School of Multidisciplinary Sciences
The Graduate University for Advanced Studies (SOKENDAI)
慶応義塾大学 湯川研究室
2015年11月24日
46. 参考(1/3)
• NMF
– D. D. Lee, H. S. Seung, “Learning the parts of objects by nonnegative matrix factorization,” Nature,
vol.401, pp.788–791, 1999.
– D. D. Lee, H. S. Seung, “Algorithms for non-negative matrix factorization,” Proc. Advances in Neural
Information Processing Systems, vol.13, pp.556–562, 2001.
• NMFの幾何学的解釈
– D. Donoho, V. Stodden, “When does non-negative matrix factorization give correct decomposition into
parts?,” MIT Press, 2003.
• β-divergence NMF
– S. Eguchi, K. Yano, “Robustifying maximum likelihood estimation,” Technical Report of Institute of
Statistical Mathematics, 2001.
– M. Nakano, H. Kameoka, J. Le Roux, Y. Kitano, N. Ono, S. Sagayama, “Convergence-guaranteed
multiplicative algorithms for non-negative matrix factorization with beta-divergence,” Proc. International
Workshop on Machine Learning for Signal Processing, pp.283-288, 2010.
• KLNMFとベイジアンNMF
– A. T. Cemgil, “Bayesian inference for nonnegative matrix factorization models,” Comput. Intell.
Neurosci., vol.2009, pp.1–17, 2009.
• Bregman-divergence-based NMF
– I. S. Dhillon, S. Sara, “Generalized nonnegative matrix approximations with Bregman divergences,”
Proc. NIPS 2005, pp. 283-290, 2005. 46
47. 参考(2/3)
• ISNMF(複素生成モデル)
– C. Févotte, N. Bertin, J.-L. Durrieu, “Nonnegative matrixfactorization with the Itakura-Saito divergence.
With applicationto music analysis,” Neural Computation, vol.21, no.3, 2009.
• 振幅ドメインのKLNMFが良いと実験的に主張する文献
– D. Fitzgerald, M. Cranitch, E. Coyle, “On the use of the beta divergence for musical source
separation,” Proc. Irish Signals Syst. Conf., 2009.
– D. Kitamura, H. Saruwatari, K. Yagi, K. Shikano, Y. Takahashi, K. Kondo, “Music signal separation
based on supervised nonnegative matrix factorization with orthogonality and maximum-divergence
penalties,” IEICE Trans. Fundam. Electron., Commun. Comput. Sci., vol.E97-A, no.5, pp.1113–1118,
2014.
• 一般化ウィーナフィルタとCauchy NMF
– A. Liutkus, R. Badeau, “Generalized Wiener filtering with fractional power spectrograms,” Proc.
ICASSP, pp.266–270, 2015.
– A. Liutkus, D. Fitzgerald, “Cauchy nonnegative matrix factorization,” Proc. WASPAA, 2015.
• 独立成分分析(ICA)
– P. Comon, “Independent component analysis, a new concept?,” Signal Processing, vol.36, no.3,
pp.287–314, 1994.
47
48. 参考(3/3)
• 独立ベクトル分析(IVA)
– T. Kim, T. Eltoft T.-W. Lee, “Independent vector analysis: an extension of ICA to multivariate
components,” Proc. International Conference on Independent Component Analysis and Blind Source
Separation, pp.165–172, 2006.
– A. Hiroe, “Solution of permutation problem in frequency domain ICA using multivariate probability
density functions,” Proc. International Conference on Independent Component Analysis and Blind
Source Separation, pp.601–608, 2006.
– T. Kim, H. T. Attias, S.-Y. Lee T.-W. Lee, “Blind source separation exploiting higher-order frequency
dependencies,” IEEE Trans. ASLP, vol.15, no.1, pp.70–79, 2007.
• 多チャネルNMF
– A. Ozerov, C. Févotte, “Multichannel nonnegative matrix factorization in convolutive mixtures for audio
source separation,” IEEE Trans. ASLP, vol.18, no.3, pp.550–563, 2010.
– H. Sawada, H. Kameoka, S. Araki, N. Ueda, “Multichannel extensions of non-negative matrix
factorization with complex-valued data,” IEEE Trans. ASLP, vol.21, no.5, pp.971–982, 2013.
• ランク1多チャネルNMF
– D. Kitamura, N. Ono, H. Sawada, H. Kameoka, H. Saruwatari, “Efficient multichannel nonnegative
matrix factorization exploiting rank-1 spatial model,” Proc. ICASSP, pp.276–280, 2015.
• HP: http://d-kitamura.sakura.ne.jp/index.html
– β-divergence NMFやCauchy NMFのコード,音源分離デモ等を公開しています
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