{ "cells": [ { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# To be able to run this code you will need Cython installed (sudo pip install Cython)\n", "# and to run the command\n", "# python setup_dtw.py build_ext --inplace\n", "# To compile the Cython library" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "running build_ext\n" ] } ], "source": [ "%%bash\n", "cd dtwpy\n", "python setup_dtw.py build_ext --inplace" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import timeit\n", "import itertools\n", "\n", "from dtwpy import dtw_distances, dtw\n", "from dtwpy.plot import plot_alignment, plot_cost_matrix, plot_distances, plot_cost_matrices" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "matplotlib.rcParams['figure.figsize'] = (10.0, 5.0)\n", "np.set_printoptions(precision=3)\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "metrics = ['sqeuclidean','euclidean','cosine']\n", "dtw_parameters = [\n", " {},\n", " {'constraint' : 'sakoe_chiba', 'k' : 0.05},\n", " {'constraint' : 'sakoe_chiba', 'k' : 0.1},\n", " {'constraint' : 'sakoe_chiba', 'k' : 0.2},\n", " {'constraint' : 'slanted_band', 'k' : 0.05},\n", " {'constraint' : 'slanted_band', 'k' : 0.1},\n", " {'constraint' : 'slanted_band', 'k' : 0.2},\n", " {'constraint' : 'itakura'},\n", "]\n", "labels = [\n", " 'Unconstrained',\n", " 'Sakoe Chiba 0.05',\n", " 'Sakoe Chiba 0.1',\n", " 'Sakoe Chiba 0.2',\n", " 'Slanted Band 0.05',\n", " 'Slanted Band 0.1',\n", " 'Slanted Band 0.2',\n", " 'Itakura Parallelogram'\n", "]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "lengths = np.array([100,200,500,1000,2000,5000])\n", "y1 = [np.sin(2*np.pi*np.linspace(0,3,N)) for N in lengths]\n", "y2 = [-0.15*np.cos(3*2*np.pi*np.linspace(0,3,N))+np.cos(2*np.pi*np.linspace(0,3,N)) for N in lengths]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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v5s1ARQUwpN8G6bqndbAVNmpD2qI03lIUwZGq4IsRoY3Ftm3SW+AuhzoOYV2S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\nYVjEJGKGYRiGYRgWMYmYYRiGYRiGRf4/5jL8V5EN3YkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "u,v = y1[2],y2[2]\n", "plt.plot(u)\n", "plt.plot(v)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Unconstrained DTW\n", "Naive version that computes all" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "57.678493179493444\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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H7YtrBMmFhRlkxCYXANIl9antV6WDbZHsi9LbF4P2wfN6OxD0KnXyKQO2Pa5bFGtMgUX9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zXs05/6ez33uQc/6Ds59/j3PeyDnfzjm/nHN+aKPH6ugAamvjkTrxjEYgI+LE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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dist, cost_matrix, (alig_u, alig_v) = dtw(u,v,dist_only=False)\n", "print(dist)\n", "plt.plot(alig_v, alig_u,color='g')\n", "plt.imshow(cost_matrix, origin='lower', cmap=plt.cm.Reds, interpolation='nearest')\n", "plt.figure()\n", "\n", "plt.plot(u[alig_u])\n", "plt.plot(v[alig_v])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Sakoe-Chiba constraint\n", "DTW constrained by Sakoe & Chiba band of width 2k+1.\n", " The warping path is constrained by |i-j| <= k\n", " \n", "*[Sakoe78] H Sakoe, & S Chiba S. Dynamic programming algorithm optimization for spoken word recognition. Acoustics, 1978*" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "57.678493179493444\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Inc/eXQ7/O2bhupX9/tZAFYxVu5wWnnYQmg0jNHND0HDgYViE0RjNpVds8tZ5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zXs05/6ez33uQc/6Ds59/j3PeyDnfzjm/nHN+aKPH6ugAamvjkTrxjEYgI+LE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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dist, cost_matrix, (alig_u, alig_v) = dtw(u,v,dist_only=False,constraint='sakoe_chiba',k=0.2)\n", "print(dist)\n", "plt.plot(alig_v, alig_u,color='g')\n", "plt.imshow(cost_matrix, origin='lower', cmap=plt.cm.Reds, interpolation='nearest')\n", "plt.figure()\n", "\n", "plt.plot(u[alig_u])\n", "plt.plot(v[alig_v])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Itakura constraint\n", "DTW constrained by Itakura Parallelogram, warping at the beginning and end are more more constrained, with abigger warping window in the middle.\n", " \n", "*[Itakura75] F Itakura. Minimum prediction residual principle applied to speech recognition. Acoustics, Speech and Signal Processing, IEEE Transactions on, 23(1), 67–72, 1975. doi:10.1109/TASSP.1975.1162641.*" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "85.41457669394255\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HVzPj7DQUwlPSbTCDqmf3Lq4olM7abyYWuMqc4UABZZdpcdJFL8LdDjgKjzzs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\nyoDSreDLFIRpJwc/tgG78hRnrT0fh7x8AT5wwGJIUWwZGAltNm6zzQJ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P9sNCkAp97l23Mpn/BHUtw6qjiBX4xZFf8LG1H1MdY8VCthB79VXfBK5LeRS6Oqualz72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\nxgbWH1zPrMhZTe67ZQvccYdMWXEpUohZ3JK4m2gcvJa0dN+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dist, cost_matrix, (alig_u, alig_v) = dtw(u,v,dist_only=False,constraint='itakura')\n", "print(dist)\n", "plt.plot(alig_v, alig_u,color='g')\n", "plt.imshow(cost_matrix, origin='lower', cmap=plt.cm.Reds, interpolation='nearest')\n", "plt.figure()\n", "\n", "plt.plot(u[alig_u])\n", "plt.plot(v[alig_v])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Timimg\n", "For lengths below 10000 the algorithm performs below under a second, outperforming any pure Python Implementation\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [], "source": [ "try:\n", " from tqdm import tqdm_notebook\n", "except:\n", " def tqdm_notebook(x,**kwargs):\n", " return x\n", "it = 10\n", "times = np.zeros([len(lengths),len(labels)])\n", "for i,kwargs in tqdm_notebook(enumerate(dtw_parameters),desc='constraint',total=len(dtw_parameters)):\n", " times[:,i] = np.array([timeit.Timer(\"dtw(y1[%d],y2[%d],**kwargs)\" % (i,i), \\\n", " setup=\"from __main__ import dtw,y1,y2,kwargs\").timeit(number=it)/it \\\n", " for i,_ in tqdm_notebook(enumerate(y1),desc='lengths',leave=False,total=len(y1))])\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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UqFFs2rQJgI8++oh3330XBwcH7O3tCQsLM56717Vr13B3d6+xLkuWLEGn0+Hl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\n1AGzWso0TbtK2bqXFql8maWHZaklIYQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_times = pd.DataFrame(times,columns=labels,index=lengths)\n", "df_times.plot.bar(logy=True)\n", "plt.xlabel('Length of signals')\n", "plt.ylabel('Time[s]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Pairwise DTW \n", "\n", "Sometimes we need pairwise DTW fot a large number of time series\n", "\n", "## dtw_distaces\n", "Allows for fast parallel computation of pairwise DTW distances between signals.\n", "\n", "*Requires Python 3*" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Some harmonic approximations of Square Wave\n", "long_sigs = [ np.sum(np.array([ 1/j*np.sin(2*np.pi*j*np.linspace(0,1,2500)) for j in range(1,i+1,2) ]),axis=0) for i in range(1,21,2)]" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0. , 125.949, 134.025, 129.273, 122.887, 117.021,\n", " 111.906, 107.598, 103.938, 100.867],\n", " [ 125.949, 0. , 52.879, 66.027, 69.329, 69.341,\n", " 68.419, 66.991, 65.506, 64.012],\n", " [ 134.025, 52.879, 0. , 29.722, 40.594, 45.192,\n", " 47.074, 47.732, 47.601, 47.458],\n", " [ 129.273, 66.027, 29.722, 0. , 19.368, 27.957,\n", " 32.366, 34.724, 35.981, 36.629],\n", " [ 122.887, 69.329, 40.594, 19.368, 0. , 13.867,\n", " 20.68 , 24.637, 26.982, 28.457],\n", " [ 117.021, 69.341, 45.192, 27.957, 13.867, 0. ,\n", " 10.614, 16.108, 19.532, 21.743],\n", " [ 111.906, 68.419, 47.074, 32.366, 20.68 , 10.614,\n", " 0. , 8.523, 13.021, 16.034],\n", " [ 107.598, 66.991, 47.732, 34.724, 24.637, 16.108,\n", " 8.523, 0. , 7.144, 10.869],\n", " [ 103.938, 65.506, 47.601, 35.981, 26.982, 19.532,\n", " 13.021, 7.144, 0. , 6.125],\n", " [ 100.867, 64.012, 47.458, 36.629, 28.457, 21.743,\n", " 16.034, 10.869, 6.125, 0. ]])" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dtw_distances(long_sigs)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0. , 125.949, 134.025, 129.273, 122.887, 117.021,\n", " 111.906, 107.598, 103.938, 100.867],\n", " [ 125.949, 0. , 52.879, 66.027, 69.329, 69.341,\n", " 68.419, 66.991, 65.506, 64.012],\n", " [ 134.025, 52.879, 0. , 29.722, 40.594, 45.192,\n", " 47.074, 47.732, 47.601, 47.458],\n", " [ 129.273, 66.027, 29.722, 0. , 19.368, 27.957,\n", " 32.366, 34.724, 35.981, 36.629],\n", " [ 122.887, 69.329, 40.594, 19.368, 0. , 13.867,\n", " 20.68 , 24.637, 26.982, 28.457],\n", " [ 117.021, 69.341, 45.192, 27.957, 13.867, 0. ,\n", " 10.614, 16.108, 19.532, 21.743],\n", " [ 111.906, 68.419, 47.074, 32.366, 20.68 , 10.614,\n", " 0. , 8.523, 13.021, 16.034],\n", " [ 107.598, 66.991, 47.732, 34.724, 24.637, 16.108,\n", " 8.523, 0. , 7.144, 10.869],\n", " [ 103.938, 65.506, 47.601, 35.981, 26.982, 19.532,\n", " 13.021, 7.144, 0. , 6.125],\n", " [ 100.867, 64.012, 47.458, 36.629, 28.457, 21.743,\n", " 16.034, 10.869, 6.125, 0. ]])" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dtw_distances(long_sigs,n_jobs=2)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [], "source": [ "long_sigs = [ np.sum(np.array([ 1/j*np.sin(2*np.pi*j*np.linspace(0,1,2500)) for j in range(1,i+1,2) ]),axis=0) for i in range(1,21,2)]\n", "it = 1\n", "n_procs = [1,2,4,-1]\n", "times = np.zeros([len(n_procs),len(labels)])\n", "for i,kwargs in tqdm_notebook(enumerate(dtw_parameters),total=len(dtw_parameters),desc='constraint'):\n", " times[:,i] = np.array([timeit.Timer(\"dtw_distances(long_sigs,n_jobs=%d,**kwargs)\" % (n), \\\n", " setup=\"from __main__ import dtw_distances,long_sigs,kwargs\").timeit(number=it)/it \\\n", " for n in tqdm_notebook(n_procs,desc='n_proc',leave=False)])\n" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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YGOu1benvLcXFxZhMpir7jEYjRUVFDea6aNEitNbMmDGjwdh7iTzzJYQQQtjg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\nuS2EEELYxX8KUnu1f3uFgta62YqM77/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_times = pd.DataFrame(times,columns=labels,index=n_procs[:-1]+['all'])\n", "df_times.plot.bar()\n", "plt.xlabel('number of processors')\n", "plt.ylabel('Time[s]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting\n", "\n", "Even though $DTW(x,y)$ returns real valued distance, a large part of using DTW as a distance metric consists of visualizing the warped signals and the produced aligment\n", "\n" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [], "source": [ "sigs = [ np.sum(np.array([ 1/j*np.sin(2*np.pi*j*np.linspace(0,1)) for j in range(1,i+1,2) ]),axis=0) for i in range(1,13,2)]\n", "sigs = [np.sin(2*np.pi*np.linspace(0,1)+1)]+sigs\n", "u,v = sigs[2],sigs[5]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## plot_aligment\n", "Visualizes the resulting temporal alignment obtained by the DTW computation" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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iztW+sY2cSrHs3evqSkREPI9bhy8124u4p7qhdSAklhUrXF2JiIjnUfgSkWKr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\nV6WK9XTrv/5lbf0E0LR6UxpVbcTvu34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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_alignment(u,v,normalize=True,constraint='itakura')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## plot_dtw_cost_matrix\n", "Plots the cost matrix along with the signals that are being aligned in the corresponding axes" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Bz38Of/4zDBkCDz0Ud0QiIlIMVIUhAJx0EnTvHvTQWLAgmJRLRESKw+rqdQW/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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_cost_matrix(u,v,normalize=True,constraint='sakoe_chiba',k=0.25,axis=True)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## plot_dtw_distances\n", "Visualice DTW distance matrix of a number of signals" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAS8AAAEzCAYAAABgyoU4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRLwApES8AKREvACkRLwApES8AKT0/4KzROYOASnNAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_distances(sigs,normalize=True,constraint='sakoe_chiba',k=0.25)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## plot_dtw_cost_matrices\n", "Good visualization tool for easily looking at pairwise DTW matrices for a number of signals" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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wmlw1907uvG3GTwlD5Ndz7/7vHH/H7gBsAFxf4JhOM+M7hMqttd35b54Y7yOckx5N2Flq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\nh7s0tlFXl4VnPoTTJp/sb6vZrn4QyeY6tdyhhWKb1rpD5No1AIDEe6ou8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UGcH0LgcgBf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\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DdXXxC0qnM0nYti4OO+QcIcWHT0/svVuBvKcr15Qf0qYsv0g8j/qFjlMcH0rJo58jZkta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kjJ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\ncAjmQUmzJTXu7QNR+QE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_cost_matrices(sigs,normalize=True,constraint='sakoe_chiba',k=0.25,vmax=10)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dtw?" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }