e9 205 machine learning for signal processing
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E9 205 Machine Learning for Signal Processing Non-negative Matrix Factorization 16-09-2019 Audio Composition Audio signal generated by a number of individual components (example - different instruments).


  1. E9 205 Machine Learning for Signal Processing Non-negative Matrix Factorization 16-09-2019

  2. Audio Composition ❖ Audio signal generated by a number of individual components (example - different instruments). http://mlsp.cs.cmu.edu/courses/fall2014/lectures/slides/class10.nmf.pdf

  3. Audio Composition ❖ Audio signal generated by a number of individual components (example - different instruments). http://mlsp.cs.cmu.edu/courses/fall2014/lectures/slides/class10.nmf.pdf

  4. Audio Composition ❖ Audio signal generated by a number of individual components (example - different instruments). http://mlsp.cs.cmu.edu/courses/fall2014/lectures/slides/class10.nmf.pdf

  5. Audio Decomposition ❖ Decomposing an audio signal back to its fundamental components.

  6. Required Properties for Decomposition ❖ Given input is sequence of power spectral vectors (positive) - power spectrogram ❖ Decomposition into a sequence of component power spectral vectors (positive) - basis ❖ At each frame - non-negative combination of components are allowed - +ve weights ❖ Applying NMF to decompose the components

  7. NMF Audio Example

  8. Audio from two sources http://mlsp.cs.cmu.edu/courses/fall2014/lectures/slides/class10.nmf.pdf

  9. Audio from two sources http://mlsp.cs.cmu.edu/courses/fall2014/lectures/slides/class10.nmf.pdf

  10. Basis Estimation from Source I http://mlsp.cs.cmu.edu/courses/fall2014/lectures/slides/class10.nmf.pdf

  11. Basis Estimation from Source II http://mlsp.cs.cmu.edu/courses/fall2014/lectures/slides/class10.nmf.pdf

  12. Finding the Mixing Weights http://mlsp.cs.cmu.edu/courses/fall2014/lectures/slides/class10.nmf.pdf

  13. Finding the Mixing Weights - Known Sources http://mlsp.cs.cmu.edu/courses/fall2014/lectures/slides/class10.nmf.pdf

  14. Finding the Mixing Weights - Unknown Source-II http://mlsp.cs.cmu.edu/courses/fall2014/lectures/slides/class10.nmf.pdf

  15. NMF Speech Denoting

  16. Denoising using NMF https://www.kth.se/social/upload/52388cfcf276544049fe1499/NR_using_NMF.pdf

  17. Denoising using NMF https://www.kth.se/social/upload/52388cfcf276544049fe1499/NR_using_NMF.pdf

  18. Denoising using NMF

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