{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy, scipy, matplotlib.pyplot as plt, sklearn, IPython.display, librosa, urllib\n", "%matplotlib inline\n", "plt.rcParams['figure.figsize'] = (14,4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[← Back to Index](index.html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Nonnegative Matrix Factorization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Nonnegative matrix factorization](https://en.wikipedia.org/wiki/Non-negative_matrix_factorization) (NMF) is an algorithm that factorizes a nonnegative matrix, $X$, into a product of two nonnegative matrices, $W$ and $H$. It is an unsupervised iterative algorithm that minimizes a distance between $X$ and the product $WH$:\n", "\n", "$$ \\min_{W, H} d(X, WH) $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If $X$ has dimensions $M$ by $N$, then $W$ will have dimensions $M$ by $R$, and $H$ will have dimensions $R$ by $N$, where inner dimension $R$ is the *rank* or *number of components* of the decomposition." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When applied to a musical signal, we find that NMF can decompose the signal into separate note events. Therefore, NMF is quite useful and popular for tasks such as transcription and source separation.\n", "\n", "The input, $X$, is often a magnitude spectrogram. In such a case, we find that the columns of $W$ represent spectra of note events, and the rows of $H$ represent temporal envelopes of the same note events." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Download an audio file:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "('conga_groove.wav', )" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "filename = 'conga_groove.wav'\n", "urllib.urlretrieve('http://audio.musicinformationretrieval.com/' + filename,\n", " filename=filename)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's load a signal:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "22050\n" ] } ], "source": [ "x, fs = librosa.load(filename)\n", "print fs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Play the audio signal:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x[0] = 1 # hack to prevent automatic gain scaling\n", "IPython.display.Audio(x, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the spectrogram:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1025, 188)\n" ] } ], "source": [ "S = librosa.stft(x)\n", "print S.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the spectrogram:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { 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5OqutUtfytsERzT2M8SBRZ7Rueo4TwLQW7AdcoNcIQZaZWYT9wbVby/WczDgzm799qnh0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LYpeXoYJ8mlhuXgsjaisGAX4+khS1uQJLJyB1EjHOWD8pqJ+jPWGlFOnsYvwYnAyf8mpDBd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\njVgb5tbbe1jbZ+XPKbaVx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "logX = librosa.logamplitude(S)\n", "librosa.display.specshow(logX, sr=fs, x_axis='time', y_axis='log')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `librosa.decompose.decompose`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use [`librosa.decompose.decompose`](http://bmcfee.github.io/librosa/generated/librosa.decompose.decompose.html) to perform our factorization. `librosa` uses [`sklearn.decomposition.NMF`](http://scikit-learn.org/stable/modules/generated/sklearn.decomposition.NMF.html#sklearn.decomposition.NMF) by default as its factorization method." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1025, 6)\n", "(6, 188)\n" ] } ], "source": [ "X = numpy.absolute(S)\n", "n_components = 6\n", "W, H = librosa.decompose.decompose(X, n_components=n_components, sort=True)\n", "print W.shape\n", "print H.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's display the spectra:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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BcOlisVigVCpx4sQJzvaBYqfsrDVBydFqpmYRm/SEMJTWmOH1dtbe8y/UKvdFikw+QQVd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yQnJ7fwiJqPSZMm4YknngBgmVWQy+VISUnB4MGDAQCjR4/GkSNHcO7cOURFRUGhUECtViMiIgJp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\nMWNxtQbnihpw+6T+KKt2is9WvRn7T5Yit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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "logW = numpy.log10(W)\n", "for n in range(n_components):\n", " plt.subplot(numpy.ceil(n_components/2.0), 2, n+1)\n", " plt.plot(logW[:,n])\n", " plt.ylim(-2, logW.max())\n", " plt.xlim(0, W.shape[0])\n", " plt.ylabel('Component %d' % n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's display the temporal activations:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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qBAN+qkp3LMvB7vRCKe9akBxYN5fIFdlMJhM6Ozsxf/58PPXUU7jlllswffr0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for n in range(n_components):\n", " plt.subplot(numpy.ceil(n_components/2.0), 2, n+1)\n", " plt.plot(H[n])\n", " plt.ylim(0, H.max())\n", " plt.xlim(0, H.shape[1])\n", " plt.ylabel('Component %d' % n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, re-create the individual components, and listen to them. To do this, we will reconstruct the magnitude spectrogram from the NMF outputs and use the phase spectrogram from the original signal." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "reconstructed_signal = scipy.zeros(len(x))\n", "for n in range(n_components):\n", " Y = scipy.outer(W[:,n], H[n])*numpy.exp(1j*numpy.angle(S))\n", " y = librosa.istft(Y)\n", " reconstructed_signal[:len(y)] += y\n", " IPython.display.display( IPython.display.Audio(y, rate=fs) )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Listen to the reconstructed full mix:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "IPython.display.Audio(reconstructed_signal, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Listen to the residual:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "residual = x - reconstructed_signal\n", "residual[0] = 1 # hack to prevent automatic gain scaling\n", "IPython.display.Audio(residual, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[← Back to Index](index.html)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }