{ "metadata": { "name": "", "signature": "sha256:c48ce54c5e35e8b395f3a614c203c852e3423ca3a188e910557c900704e062b7" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Change Detection Tutorial\n", "\n", " author: @amanqa\n", " source: github.com/amanahuja/change-detection-tutorial\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Modified Stylesheet for notebook.\n", "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open(\"custom.css\", \"r\").read()\n", " return HTML(styles)\n", "\n", "css_styling()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Section 06: EKG data\n", "\n", "Part 06: EKG Data\n", "\n", " * The Electrocardiogram\n", " * What is an EKG\n", " * Components of the EKG waveform\n", " * Ted Dunning's method\n", " * " ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "np.set_printoptions(precision=2)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "import os,sys" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Electrocardiogram \n", "\n", "The EKG / ECG is the measurement of electrical activity in the heart. These are the electrical polarization and depolarizations of the cardiac tissue. \n", "\n", "### Components of the EKG waveform\n", "When translated to waveform, the signal is composed of various components, labeled P Q R S T U. Three of the major features are the P-Wave, the R-Wave, and the T-Wave. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image('https://upload.wikimedia.org/wikipedia/commons/thumb/3/34/EKG_Complex_en.svg/300px-EKG_Complex_en.svg.png')\n", "# via Wikipedia" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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Lf12+BQu28/77Q/H0NGKx2Fi16gAZGVZOnrxCVpadnj2bsWlTOPfd15Zjx2K4di2Dzp0b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\nTqbFonUpbk9VBediEohNSKF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"prompt_number": 3, "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The P wave is the first positive hump, representing the contraction of the atrea (right and left). \n", "\n", "The R wave is the large positive spike wrapped in the \"QRS complex\". It represents the contraction of the ventricles, which, being larger than the atrea, require a larger polarization. The Q and S are negative polarizations to either side of the R. \n", "\n", "The T wave is the refractory bump, as the polarization of the ventricles returns to normal. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Diagnosis of the EKG\n", "Specialists and diagnosticians look at the EKG to help determine if a heart is healthy and behaving normally.\n", "\n", "The QRS complex in the waveform stands out and looks quite important, but in fact, the timing shape and size of the T-wave often carries more useful diagnostic information. The intervals between the features, such as the PR interval and QT interval shown on the diagram above, can be of diagnostic importance. It may also be important to look at the polarity -- the PR segment and the ST segment are both of neutral polarization in a healthy heart. \n", "\n", "This analysis requires experience and training. \n", "\n", "### Anomaly detection\n", "\n", "Our goal is to create an automated anomaly detection system by \"training\" the system on EKG data of normal healthy hearts, and recognizing deviations from this normal. \n", "\n", "There are many approaches to this problem. For the purposes of this tutorial, we will use Ted Dunning's approach, described in his talk at the Strata Conference. We'll measure our success, and discuss limitations and potential improvements. \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sources: \n", "\n", " * http://en.wikipedia.org/wiki/Electrocardiography\n", " * http://en.wikipedia.org/wiki/Cardiac_cycle\n", " * http://en.wikipedia.org/wiki/QRS_complex\n", " * http://en.wikipedia.org/wiki/T_wave" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "# Not as important. \n", "Image(url=\"http://upload.wikimedia.org/wikipedia/commons/thumb/8/8c/QRS_complex.png/220px-QRS_complex.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load data\n", "\n", "We'll get our data from Physionet's CinC Challenge.\n", "\n", "A sample of this data is included in this tutorial repository on github under the folder '/data'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Input file description: \n", "\n", " This file is 6.1MB in size and contains several hours of recorded EKG data from a patient in a sleep apnea study. This file contains 3.2 million samples of which we use the first 200,000 for training. \n", "\n", " http://physionet.org/physiobank/database/apnea-ecg/\n", " Data from Physionet\n", "\n", "To read in this data we will use the ecgtk and wfdbtools by @rajajs\n", " \n", " https://twitter.com/rajajs\n", " https://github.com/RajaS/ecgtk\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sys.path.append(os.path.join('..', 'ecgtk'))\n", "import wfdbtools" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "data_path = os.path.join('..', 'data')\n", "os.listdir(data_path)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "['a02.qrs',\n", " 'a02.dat',\n", " 'a01.dat',\n", " 'a02.apn',\n", " 'a01.hea',\n", " 'a01.apn',\n", " 'a03.hea',\n", " 'a03.dat',\n", " 'a02.hea']" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "fpath = os.path.join(data_path, 'a02.hea')\n", "\n", "print \"Reading data header file {}\".format(fpath)\n", "print \"-\" * 10\n", "with open(fpath, 'r') as f:\n", " for ii in range(5):\n", " print f.readline()\n", "\n", "#!head 'data/a02.qrs'\n", "#!head 'data/a02.apn'" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Reading data header file ../data/a02.hea\n", "----------\n", "a02 1 100 3182000\r\n", "\n", "a02.dat 16 200 12 0 -4 28438 0 ECG\r\n", "\n", "\n", "\n", "\n" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### What does this header file tell us? \n", "\n", "\"a02.dat 16\" tells us the data format we are dealing with is PhysioNet Format 16 (not, for example, Format 212). We need to know this so we can tell wfdbtools how to read our data. \n", "\n", "For more information on how to read these data files, please refer to \n", " http://physionet.org/physiobank/database/apnea-ecg/\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "wfpath = fpath.rstrip('.hea')\n", "\n", "# here we use wfdbtools to load our data and metadata\n", "dat, info = wfdbtools.rdsamp(\n", " wfpath, \n", " start=0, # define time range instead of reading\n", " end=20, # reading in the whole file. \n", " )\n", "\n", "# info is a dict of metadata\n", "for k,v in info.iteritems():\n", " print \"{:<15} : {}\".format(k,v)\n", "\n", "# dat is our actual data\n", "print \"\\nData shape: {}\".format(dat.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "samp_freq : 100.0\n", "signal_count : 1\n", "gains : [200.0]\n", "file_format : ['16']\n", "samp_count : 3182000\n", "first_values : [-4.0]\n", "zero_values : [0.0]\n", "signal_names : ['ECG']\n", "units : ['mV']\n", "\n", "Data shape: (2000, 3)\n" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "# wfdbtools includes a simple way to plot our data\n", "wfdbtools.plot_data(dat, info)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "have 1 signals...\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Vs4WicZeUV8JQPVtALhM3dbi9gK82wVUn7b+6ulpq+fBCo6CgAC+//LKlXew5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\nITk5GYMHD8asWbNi3aw6D+2h9I5LL70U9evXN/3OzSFVDTFE4wnoNeo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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using pandas\n", "\n", "Why? Well, I like control over the plots I made. Pandas provides an easy way to plot our data exactly like we want it. We'll also be able to leverage the extensive time series data analysis tools available in pandas. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pandas as pd" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "# Let's reload the data\n", "# This time ALL the data not just the first 20 seconds\n", "dat, info = wfdbtools.rdsamp(wfpath)\n", "\n", "print dat.shape" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(3182000, 3)\n" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "# Load numpy array into pandas and label columns\n", "df = pd.DataFrame(dat, columns= ['#', 'sec', 'EKG'])\n", "\n", "# Set index so the x-axis is properly labeled in our plot. \n", "df.set_index('sec', drop=False, inplace=True) " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "# Just plot all the data\n", "# This is a lot of data. Takes a few seconds to plot, and looks messy.\n", "df.EKG.plot()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot customization\n", "# Using a slice of just the first few seconds of EKG data\n", "\n", "ekg_signal = df.EKG[:6]\n", "def plot_ekg(ekg, title = \"EKG Plot, Customized\"):\n", " fig, ax = plt.subplots(ncols=1, nrows=1, figsize=(10,5))\n", " ekg.plot(\n", " marker='x',\n", " linestyle='',\n", " alpha=0.8,\n", " ax=ax\n", " )\n", " ekg.plot(\n", " c='b',\n", " linestyle='-',\n", " alpha=0.5,\n", " ax=ax\n", " )\n", " plt.title(title);\n", "\n", "plot_ekg(ekg_signal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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dvmULyUTT7Ok+BeTVyXI6iWgPG0YZhayodO4M7Nkj9pyiIbPiO4+RF18kV3tq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\n5ho872ixq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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## DO\n", "\n", "Now that we've loaded the data, we can build our anomaly detection system. \n", "\n", "### Review Dunning's Method\n", "\n", "See @tdunning's method here\n", "\n", " http://www.slideshare.net/tdunning/strata-2014-anomaly-detection\n", " https://github.com/tdunning/anomaly-detection/\n", "\n", "\n", "Here's what we'll be doing:\n", "\n", " * Step 1: break the EKG data into small windows \n", " * Step 2: Cluster these windows into a basis space (or dictionary) using clustering\n", " * Step 3: Reconstruct normal signals from the dictionary. Confirm small error.\n", " * Step 4: Reconstruct anomalous signals from the dictionary. Confirm large error. \n", " * Step 5: Devise an appropriate trigger for change detection\n", " \n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Break signal into windows\n", "\n", "First step is to break the EKG data into a bunch of small windows. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "window_size = 32\n", "print \"Window size: \" , window_size\n", "\n", "step_size = window_size\n", "print \"Step size: \", step_size\n", "\n", "total_time_available = info['samp_count'] / info['samp_freq'] # in seconds\n", "print \"Total data available: {} seconds\".format(total_time_available)\n", "print \"Sample Frequency: {} samples per second\".format(info['samp_freq'])\n", "\n", "print \"Size of data being processed: {} observations\".format(len(fullsignal))\n", "print \"\\t({} seconds)\".format(len(fullsignal) / info['samp_freq'])\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Window size: 32\n", "Step size: 32\n", "Total data available: 31820.0 seconds\n", "Sample Frequency: 100.0 samples per second\n", "Size of data being processed: 1000000 observations\n", "\t(10000.0 seconds)\n" ] } ], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "#Choose how much of the signal to use here:\n", "\n", "training_size = 2000000\n", "fullsignal = dat[:training_size,2]\n", " # selecting just the 3rd column \n", " # 1st column is index, 2nd is time, 3d is EKG data. \n", " \n", "print \"Using about {:.02f}% of the total available signal\".format(\n", " len(fullsignal) / float(info['samp_count']) * 100\n", " )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Using about 62.85% of the total available signal\n" ] } ], "prompt_number": 59 }, { "cell_type": "code", "collapsed": false, "input": [ "window_list = []\n", "nwindows = 0\n", "\n", "for range_start in xrange(0, len(fullsignal), step_size):\n", " nwindows += 1\n", " range_end = range_start + step_size #- 1\n", " \n", " if range_end > len(fullsignal): \n", " continue\n", " \n", " # DEBUG print \"{} to {}\".format(range_start, range_end)\n", " \n", " window = fullsignal[range_start:range_end]\n", " \n", " # Multiply signal by sin() \n", " window = window * np.sin(np.linspace(0, np.pi, num=window_size ))# - 1) ) \n", " window_list.append(window)\n", "\n", "print \"\\nFull signal of size {} was broken up into {} pieces of length {} each.\".format(\n", " len(fullsignal),\n", " len(window_list),\n", " len(window_list[0])\n", ")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Full signal of size 2000000 was broken up into 62500 pieces of length 32 each.\n" ] } ], "prompt_number": 60 }, { "cell_type": "code", "collapsed": false, "input": [ "# All windows should be the same size. \n", "window_lengths = np.array([len(w) for w in window_list])\n", "\n", "print \"Sanity check: Each window is the same size:\", \n", "print np.all(window_lengths == window_lengths[0])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Sanity check: Each window is the same size: True\n" ] } ], "prompt_number": 61 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Construct Basis / Dictionary :: Cluster windows\n", "\n", "Now we'll cluster all the windows into a smaller number of \"representative\" windows, which will compose a dictionary of windows. \n", "\n", "k-means clustering will give us a \"dictionary\" of whatever size we want. The cluster centroids will be our dictionary values. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.cluster import MiniBatchKMeans" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 62 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### MiniBatch KMeans\n", "\n", "\"Minibatch\" kmeans is variation of the usual kmeans algorithm that incrementally updates the centers positions in mini-batches. This works much faster for larger datasets. \n", "\n", "More info at the [sklearn documentation](http://scikit-learn.org/stable/modules/generated/sklearn.cluster.MiniBatchKMeans.html#sklearn.cluster.MiniBatchKMeans)\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Do the clustering here\n", "print \"Number of windows\", len(window_list)\n", "\n", "k = 200 # number of clusters\n", "print \"Number of clusters: \", k\n", "\n", "#testdata = window_list[:500] # To help with testing, limit \n", "\n", "model = MiniBatchKMeans(\n", " n_clusters=k, \n", " verbose=1,\n", " )\n", "model.fit_predict(window_list)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Number of windows 62500\n", "Number of clusters: 200\n", "Init 1/3 with method: k-means++" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Inertia for init 1/3: 4.481913" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Init 2/3 with method: k-means++\n", "Inertia for init 2/3: 3.801283" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Init 3/3 with method: k-means++\n", "Inertia for init 3/3: 4.195376" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Minibatch iteration 1/62500:mean batch inertia: 0.048536, ewa inertia: 0.048536 \n", "Minibatch iteration 2/62500:mean batch inertia: 0.027129, ewa inertia: 0.048467 \n", "Minibatch iteration 3/62500:mean batch inertia: 0.038008, ewa inertia: 0.048434 " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Minibatch iteration 4/62500:mean batch inertia: 0.025955, ewa inertia: 0.048362 \n", "Minibatch iteration 5/62500:mean batch inertia: 0.027299, ewa inertia: 0.048295 \n", "Minibatch iteration 6/62500:mean batch inertia: 0.026446, ewa inertia: 0.048225 " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Minibatch iteration 7/62500:mean batch inertia: 0.025140, ewa inertia: 0.048151 \n", "Minibatch iteration 8/62500:mean batch inertia: 0.038665, ewa inertia: 0.048121 \n", "Minibatch iteration 9/62500:mean batch inertia: 0.023342, ewa inertia: 0.048041 " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "[MiniBatchKMeans] Reassigning 51 cluster centers.\n", "Minibatch iteration 10/62500:mean batch inertia: 0.021435, ewa inertia: 0.047956 \n", "Minibatch iteration 11/62500:mean batch inertia: 0.029545, ewa inertia: 0.047897 \n", "Minibatch iteration 12/62500:mean batch inertia: 0.028000, ewa inertia: 0.047833 " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Minibatch iteration 13/62500:mean batch inertia: 0.025600, ewa inertia: 0.047762 \n", "Minibatch iteration 14/62500:mean batch inertia: 0.033826, ewa inertia: 0.047718 \n", "Minibatch iteration 15/62500:mean batch inertia: 0.054509, ewa inertia: 0.047739 " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Minibatch iteration 16/62500:mean batch 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"Computing label assignment and total inertia" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 63, "text": [ "array([171, 91, 170, ..., 3, 76, 16], dtype=int32)" ] } ], "prompt_number": 63 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Assign Basis Dictionary\n", "\n", "Set the k-means cluster centers as our basis dictionary. This dictionary will be used to construct all our signals. It represents the most commonly encoutered windows in our \"normal\" training data set. \n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "## Set the k-means cluster centers as our basis dictionary\n", "basis_dict = model.cluster_centers_" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 64 }, { "cell_type": "code", "collapsed": false, "input": [ "# Visually examining the Basis Dictionary. \n", "\n", "if k > 10: \n", " ksmall = 15\n", " print \"Large dictionary. Plotting just the first {}.\".format(ksmall)\n", " print \"... there are {} additional windows\".format(k - ksmall)\n", " print \" in the dictionary that we will not plot.\"\n", " \n", "ncols = 5\n", "nrows = int(math.ceil(ksmall / 5.))\n", "\n", "fig, axes = plt.subplots(\n", " ncols=ncols, \n", " nrows = nrows, \n", " figsize = (3 * ncols,3 * nrows)\n", " )\n", "\n", "axiter = axes.flat\n", "for clust_idx in xrange(ksmall): \n", " axiter[clust_idx].plot(basis_dict[clust_idx])\n", " " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Large dictionary. Plotting just the first 15.\n", "... there are 185 additional windows\n", " in the dictionary that we will not plot.\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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oIezdu1dOc5i7OHK6ZuXT5ZKSEmzcuBGRkZFVromMjMS6desAAMnJyWjZsiXatWsHd3d3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"text": [ "" ] } ], "prompt_number": 66 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Picking k\n", "\n", "k, the number of clusters in kmeans, will be the number of items in the basis dictionary we will use to reconstruct EKG signals. \n", "\n", "Intuitively, we want a large dictionary, so our reconstruction has the most flexibility and, hopefully, smallest error. \n", "\n", "However, since kmeans will force the dataset into the number of clusters that we specify, we must be careful about the quality of our dictionary. If k is too large, we may end up using very unusual windows to reconstruct our signals, which is bad. \n", "\n", "We can get a sense for this by looking at how many windows are in each cluster. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "from collections import Counter" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 67 }, { "cell_type": "code", "collapsed": false, "input": [ "clust_counter = Counter(model.labels_)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 68 }, { "cell_type": "code", "collapsed": false, "input": [ "tt = clust_counter.most_common(5)\n", "print [idx for idx,size in tt] " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[11, 126, 138, 171, 82]\n" ] } ], "prompt_number": 69 }, { "cell_type": "code", "collapsed": false, "input": [ "# These are the 10 largest clusters\n", "# and the number of windows they contain\n", "print \"Largest clusters:\"\n", "print \"\\t(cluster_index, n_windows_in_cluster)\"\n", "large_clusters = clust_counter.most_common(5)\n", "print \"\\t\", large_clusters\n", "\n", "fig, axes = plt.subplots( ncols=5, nrows=1,\n", " figsize = (15,3)\n", " )\n", "\n", "axiter = axes.flat\n", "for ii, clust_idx in enumerate([idx for idx,size in large_clusters]): \n", " axiter[ii].plot(basis_dict[clust_idx])\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Largest clusters:\n", "\t(cluster_index, n_windows_in_cluster)\n", "\t[(11, 1158), (126, 821), (138, 814), (171, 805), (82, 801)]\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Jo5xwrx9lcET7h+bo9YBBlwTVI+4vAFYLZwDApEmTMGzYMOTn56NXr15YunQp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\nFXD06J/v7d4tGty/+y7QoYP7fGOY1kKTIaBNkZ6ejgceeADLli2Dv78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"text": [ "" ] } ], "prompt_number": 70 }, { "cell_type": "code", "collapsed": false, "input": [ "# These are the 10 smallest clusters\n", "# and the number of windows they contain\n", "print \"Smallest clusters:\"\n", "print \"\\t(cluster_index, n_windows_in_cluster)\"\n", "small_clusters = clust_counter.most_common()[:-6:-1]\n", "print \"\\t\", small_clusters\n", "\n", "fig, axes = plt.subplots( ncols=5, nrows=1,\n", " figsize = (15,3)\n", " )\n", "\n", "axiter = axes.flat\n", "for ii, clust_idx in enumerate([idx for idx,size in small_clusters]): \n", " axiter[ii].plot(basis_dict[clust_idx])\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Smallest clusters:\n", "\t(cluster_index, n_windows_in_cluster)\n", "\t[(188, 8), (58, 10), (153, 58), (48, 90), (19, 94)]\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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fP19ZkdvDwwNpaWmKy1Y9Hw/gcE2mCpOovYWmM0wmU51dPmflzjuBqVMBqbm6\n06dT3siLL8ojl9FRW4dcSWefew5o1w544QVp1/n0U2oCvGqVPHIZHS10yEh6++STlEvn6wt89RWw\nfn3VsdWrgc8/p/erc/vtFK6ZkUEGnqNVjJcsAQ4cIGORqcIZdfb4cdp4PX1aeki6PXTuDHz7LYUT\nM8rhLDq7cyet93bupNerV9PmV2KirNMwOsBe/ZHcDJ2RDw7XZIwG6yyjBVu2AIMGAffcQwZbdc9a\n9VDN6rz+OlXTTEmR1qamTRuurukq7NpF+XhqGngAV9hk7IM9eUx9sJGnEyoqpPfIs8ALZkYtsrPZ\nyGPU5dgx0pVevWhhM3Ag8OWXVcfrM/JiYoD9++3vi1cbDtd0HdQuumKB8/IYe6ht5HEzdMYCG3k6\n4eRJ+ieV0iPPAi+YGbXIyQFuuEH6dVhnGVvZsoUMO7erT68HHqDwJIA2HS5dokWyUrCR5zqoXXTF\nAnvyGHtgTx5TH2zk6QS5wt4AXjAz6lBURLuFcvSPYp1lbOW774DBg6te33UX8OuvVGxl+3by4ikZ\nXsdGnmtw6RIZWpGR6s/NRh5jD9aqa7KRxwBs5OkGNvIYoyFXjzwAaN2aFlVlZdKvxTgvZjPw/feU\nj2eheXMgLg747LP6QzXlhI081+DHH8nAa95c/blDQ4E//yR9Z5jGYE8eUx9s5OkENvIYoyGnzrq5\nUUGLc+fkuR7jnKSnUzXX2j2IH3iAKsmxkcfIxdatFBasBddeSxESOTnazM8YCzbymPpgI08nyLlg\n9vKi6m8GqYbOGBQ5dRbgzQmmcSxVNWtzxx1AVhbg4UHl55XE4tnhRZRzo6WRB3DIJmM7Fy9y4RXG\nOmzk6QQ5F8weHoC3NzVUZRilkNvI69gROHhQvus5E8nJyQgJCUFwcDDmzJljdczUqVMRHByM8PBw\npKenV75fWFiIkSNHIjQ0FGFhYUhNTVVLbNmpnY9nwcMDuP9+MvbUKHfP3jzn5tQpquKqRT6eBTby\nGFthTx5TH2zk6QS5F8wPPQT873/yXY9hasM6qw5msxlTpkxBcnIyMjIykJiYiIO1rOGkpCRkZWUh\nMzMTH3zwASZPnlx57KmnnsLQoUNx8OBB7N+/H6GhoWp/BFm4dAnYswcYMMD68XfeARYsUEcWNvKc\nm23bSM/c3bWTgY08xlbYyGPqg408HVBRQbuGcvTIs/DYY8Dy5cCVK/Jdk2GqI7eRd999tIjPzpbv\nms5AWlrDdb1FAAAgAElEQVQagoKCEBgYCA8PD4wePRobNmyoMWbjxo0YN24cACA6OhqFhYU4efIk\nLly4gB07dmDChAkAAHd3d7Ru3Vr1zyAHP/xAnpVWrawfb9685kJHSdjIc260DtUE2MhjbKe+Pnmc\nssNINvKkhBEBtEsdERGBYcOGSRXFsFh65LVoId81g4KA8PCaTYIZgnVWHuQ28po3Bx5+GPjwQ/mu\n6Qzk5+cjICCg8rW/vz/y8/MbHZOXl4fs7Gx4e3tj/Pjx6N27Nx599FGUlJSoJruc1JePpwVs5Dkv\nQpCu3XGHtnKEhVH4ekWFtnIw+qd2C4UmTcgLXVqqnUyMPpAUjGAJI9q6dSv8/PwQFRWFuLi4GuFA\n1cOIdu/ejcmTJ9fICVm4cCHCwsJw8eJFKaIYmuxseRfLFuLjgYQEqjzHEKyz8iBnj7zqPPYYcNtt\nwIwZQNOm8l7bqJhsTDITtbZtTSYTysvLsXfvXiQkJCAqKgrTpk3D7NmzMXPmTKvXmDFjRuXPMTEx\niImJcVRs2UlJAZYs0VoKok0bKm7lyqSkpCAlJUVrMWTnyBGgvBwICdFWjtataTPh2DFl1geM81Db\nkwdUhWxec402MjH6QJInT0oYEQDk5eUhKSkJkyZNqrNAcSXk9ohYuPtu6rXDxSyqYJ2VB4vOyl3k\nIjQU6NYNqPUncWn8/PyQm5tb+To3Nxf+tXoI1B6Tl5cHPz8/+Pv7w9/fH1FRUQCAkSNHYu/evfXO\nNWPGjMovPRl4xcXA4cNA795aS0KwJ482Aarri7NgCdVUo4BPY3DIJmMLtatrApyXxxCSjDxHw4gs\nY55++mnMnTsXbm6unRqYkwPccIP81/XwACZMAD74QP5rGxXWWXlQSmcB4P/+D1i6VJlrG5HIyEhk\nZmYiJycHpaWlWLt2LeLi4mqMiYuLw4oVKwAAqamp8PT0hI+PD3x9fREQEIDDhw8DALZu3Yru3bur\n/hmkkpZG4ed62ZVmI8950UM+ngU28pjGEIKMvOrhmgAbeQwhKVzT0TAiIQS++eYbtGvXDhEREY2G\nfOg5hEgO8vLIg6EEjz5KxQrefruqv5Oz01AYEeusPOTlAX5+ylx7xAjgqaeoBUhwsDJz6I2GdNbd\n3R0JCQkYMmQIzGYzJk6ciNDQUCy9agnHx8dj6NChSEpKQlBQEFq2bIlly5ZVnr948WKMGTMGpaWl\n6NKlS41jRuHnn4G+fbWWogpPT+7p6IyYzcD27cCiRVpLQoSFke4zTH1cukRruyZNar7PRh4DSDTy\npIQRrVu3Dhs3bkRSUhIuX76MoqIijB07tnI3ujrOFApijbNnqa+dEgQGAlFRwOefA2PHKjOH3qht\nVL3xxhuVP7POyoOSOnvNNcC4ceSBnjtXmTn0RkM6CwCxsbGIjY2t8V58fHyN1wkJCVavHR4ejj17\n9sgjqEb8/DMwfrzWUlTh6Um5W4xzsW8f4OsLdOigtSREWBjw0UdaS8HoGWv5eAA3RGcISTFnjoYR\n+fr64u2330Zubi6ys7OxZs0a3H777VYXy67AmTNA27bKXZ/D36pgnZUHpXX2sceATz7hFiAMhSP9\n/DPQp4/WklTB4ZrOiZ5CNYGqcE0XTv9mGqF2ZU0L7MljAIlGXvUworCwMIwaNaoyjMgSSjR06FB0\n7twZQUFBiI+Px5J6yqPZGkbnjJw9q+yC+a67KIfqzz+Vm8MosM7Kg9I6GxwM9OgBfP21cnMwxuDw\nYVrE6MW7AnB1TWdl61btWydUx8uLcutPn9ZaEkav1OfJYyOPAQCT0HmJQJPJ5PRVDAMCgJ075W2G\nXptx44B+/chD4mqorUOuoLOxscCUKbSBoBRz51L58MWLlZtDr2ihQ3rV2+XLgW+/BRITtZakirQ0\n4IknAINHwcqK0XX277+Bdu0o37h1a1kuKQuRkdQK6ZZbtJbE+TC6zgLA999TzYXvv6/5/rBhVJOh\nVqASY3Ds1R/XLhGoE86elb/fWG369ydDkmHkgHWWUYufftJXqCbA4Zq2kpycjJCQEAQHB2POnDlW\nx0ydOhXBwcEIDw9Henp65fuBgYHo2bMnIiIicPPNNysu69atQESEvgw8AOjSBfjrL62lYBrT5UOH\nDqFPnz5o1qwZ5s2bp5pcDXnyOCePYSNPY0pKgIoKoEULZefhBTMjJ0rn5AHUEy0zE7hwQdl5GH2j\nt8qaABt5tmA2mzFlyhQkJycjIyMDiYmJOFiraWtSUhKysrKQmZmJDz74AJMnT648ZjKZkJKSgvT0\ndKSlpSku75o1wOjRik9jN507s5GnNbboctu2bbF48WI899xzqsrWUOEVDtdk2MjTGEtuk9LpXSEh\ndDOo1RKOYRxC6Zw8gKps3nQTkJqq7DyMfrlwAcjOph55esJi5OkwulU3pKWlISgoCIGBgfDw8MDo\n0aOxYcOGGmM2btyIcePGAQCio6NRWFiIkydPVh5XK5SupATYtAkYOVKV6eyic2eu5Ko1tuiyt7c3\nIiMj4eHhoapsnJPHNAQbeRqjRtgbQEZkv37Arl3Kz8U4N2VltChSI6yJPdCuze7dZOirvG5qlKZN\n6aukRGtJ9Et+fj4CAgIqX/v7+yO/1i5jQ2NMJhMGDhyIyMhIfPjhh4rKumkTcPPNlJOnNzhcU3ts\n0WWt4OqaTENI6pPHSEcNj4gFy4L5/vvVmY9xTs6do+qCbipsEfXvD/znP8rPw+gTvbVOqI6nJ1XY\nbNlSa0n0ia3Vh+vz1u3cuRMdOnTA6dOnMWjQIISEhODWW2+tM656T9La/SZtRa+hmgCHa8pJSkoK\nUlJS7D5P7kracuishaIieh7Xho0858BRnbXARp7GqJHbZKF/f6oIxzBSUFNn+/ShCoZlZfrz5jDK\n8/PPQLU0LV1hCdn099daEn3i5+eH3Nzcyte5ubnwr/XLqj0mLy8Pfn5+AIAOV3tmeHt745577kFa\nWlqjRp4jFBVR0ZX//U/SZRTD3x84dYqKaDRrprU0xqa2QfXGG2/YdJ4tumwPUnW2OkVF1iuzc+EV\n58BRnbXA4Zoao6Ynr3dv6jlVVKTOfIxzoqbOenpSuFK1onuMi1BRQfmYevbkcfGV+omMjERmZiZy\ncnJQWlqKtWvXIq5WPfe4uDisWLECAJCamgpPT0/4+PigpKQEFy9eBABcunQJ3333HXr06KGInBs2\nAAMGWPeG6AF3d6BjR+p1y2iDLbpsQe2WDBcvcuEVpn7Yk6cxauXkATULWQwerM6cjPOhps4CVWHG\nKlRRZ3TEwYOkZ3rMkwLYyGsMd3d3JCQkYMiQITCbzZg4cSJCQ0OxdOlSAEB8fDyGDh2KpKQkBAUF\noWXLlli2bBkAoKCgACNGjAAAlJeXY8yYMRis0ENrzRpgzBhFLi0blpDNkBCtJXFNbNHlgoICREVF\noaioCG5ubli4cCEyMjLQqlUrRWXjwitMQ7CRpzFnzgCBgerNZ1kws5HHOIqa4ZoA6eznnwPPPKPe\nnIz26DkfDyDPDxt5DRMbG4vY2Nga78XHx9d4nZCQUOe8zp07Y9++fYrKBtCG1c6dwNq1ik8lCc7L\n057GdNnX17dGSKdasJHHNITkcE1Hm53m5ubitttuQ/fu3XHjjTdi0aJFUkUxJGqGvgFcrdAC663j\naKWzXK7etfjpJ/31x6sOe/KMz5dfAkOGAAo7WyTDbRSY+uBm6ExDSDLypDQ79fDwwPz58/HHH38g\nNTUV7733Xp1zXQG1F8zVC1m4Kqy30lBbZwMC6IGVmanenIy2CAH88AO1fdErluqajHHRc1XN6nAb\nBaY+6muhwDl5DCDRyJPS7NTX1xe9evUCALRq1QqhoaE4fvy4FHEMidr5TZ6etCvoyoUsWG+lobbO\nAuyBdjX27AGaNAEUqrUhC9Y8eWfPUiVERv8UFAB79wK1IvB0CYdrMvXB4ZpMQ0gy8hxtdpqXl1dj\nTE5ODtLT0xEdHS1FHEOidn4TwAtm1ltpsM6qj6PhxRbMZjMiIiIwbNgwNcSVzMqVwEMPATK3p5IV\na0beSy8Br76qjTyMfXz2GTBsGC2G9Y7FyOOQdaY6QrCRxzSMpMIrjjY7rX5ecXExRo4ciYULF9Zb\nhUjOxpF6Q+3QN8D5C1k01jxSDb1lnZWX/v2B+fPVnVNNGtJZS3jx1q1b4efnh6ioKMTFxSE0NLRy\nTPXw4t27d2Py5MlITU2tPL5w4UKEhYVVlqXXM2VlVAhj1y6tJWmY2kae2QysX6/faqBMTVavBmRs\nV6Yo110HtGgBnDwJ+PpqLQ2jF86eJb2wtlHBRh4DSDTypDY7LSsrw7333ouHHnoIw4cPr3ceORtH\n6omyMuDSJaB1a3Xn7d8feOop2gXS8065ozTWPFINvXVWnQW0MfK6dwdOn6ZFjo+PunOrQUM6Wz28\nGEBleHF1I6++8GIfHx/k5eUhKSkJr7zyCt59911VPo8Utm4lz0VQkNaSNEzt6po7d9ICPDub3vf0\n1E42pmGOHCHP2B13aC2J7Vi8eWzkMRays+uvzs6FVxhAYrimlGanQghMnDgRYWFhmDZtmhQxDMu5\nc4CXF+Cmckv6gABKys3KUndevcB6Kw0tcvLc3KhokN69O0rgaHixZczTTz+NuXPnwk3tG42DWEI1\n9U7twivr1gGjRgGRkdSLlNEva9YA998PeHhoLYntcF4eU5vsbOCGG6wf48IrDCDRkyel2emuXbuw\ncuVK9OzZExEREQCAWbNm4c4775T4kYyDFrlNFiIjqfhKcLA282sJ663jVFTQwtbLS/25IyOBffuA\nqz2SXQZHw4uFEPjmm2/Qrl07RERENBjCbEHrMOPiYmDTJmDBAlWndYjq4ZoVFVSOf+tWoKSE2j84\n+y2hsbB4vSIEsGoV8L//aS2JfXAbBaY2DRl5HK7JADI0Q3e02Wn//v1RUVEhdXpDo0XYm4WOHYFa\ndURcCtZbxygspJ5S7pLvHPbTsSMtnl0NKeHF69atw8aNG5GUlITLly+jqKgIY8eOrfRS10brMOP1\n6ymc3NtbUzFsorqRl5ZGeVMhIdTbz5nzRy00FhavV/bvJ0O8Tx+tJbGPLl2orQjDWMjOrr8CMRt5\nDCBDM3TGcbQ08vz9XdvIYxyDdVZ9HA0v9vX1xdtvv43c3FxkZ2djzZo1uP322+s18PSAUUI1Acql\nLiqq8uLdey+9f8stZPSVl2srH2Od1auBBx4wXj46h2sytWnMk8c5eYwG+/GMhTNn1M9tsuDvTwsR\nhrEHrXXWFY08KeHFtbE19FMLCgqA3bvJYDIC7u5U2e7iRcrHW7eO3m/bFvDzA37/HbjaUpPRCRUV\nQGIihQQbDQ7XZGpjS06esxbYY2yDjTwNYa8IYzRYZ7XB0fDi6gwYMAADBgyQXTa5WLMGiIsjw8ko\neHpSCJ0QQHh41ft9+1JoMRt5+uKnn8gDW1+Im57x86NibSUlxvofYZShogI4dqz+6pru7lSwrKwM\naNpUVdEYHcHhmhqi5YLZzw+oVaCPYRpFS51t3Zp6kRUVaTM/oyyrVhknVNOCpyfw0UcUqll9t7xf\nP9fMH9U7q1cDDz6otRSO0aQJ0KkTkJOjtSSMHjhxgtq4WOuRZ4Hz8hg28jREi1L0Fjp0oJuE2azN\n/Iwx0VJnTSby5vHmhPORm0uhR7fdprUk9uHpSaF/lnw8CxZPHqMfysqAzz8HRo/WWhLH4ZBNxkJD\nPfIssJHHsJGnIVq2ULjmGtoFOnVKm/kZY6KlzgKuHbLpzCQnA4MHa1O1VQqentSc+uaba77ftStw\n4QJtpDH6YPNm+rvUl8NkBLj4CmOhoXw8C1x8hWEjT0O0DH0DeMHM2A/rLKMESUnA0KFaS2E/np7A\nPfdQ7kt13NyoRP/PP2sjF1OTS5eAZ54Bpk/XWhJpdOnCRh5D2GLkcUN0ho08DeEFM2M0WGcZuSkt\nBbZvB4YM0VoS+5k2DXj+eevHOGRTP7z8MrW2qNV5xHCwJ4+xYKsnj40814aNPA3RMr8J4AUzYz+s\ns4zc7NwJdOtmjAbotendG+jY0foxNvL0wY8/Al98ASxapLUk0uGcPMYCG3n6QAjg/HkgMxM4cIBe\n6wmDZUA4DxUVpBheXtrJwAtmxl70kJP3zTfazc/Iz+bNxgzVbIyoKOC33ygnplkzraVxTS5dAiZM\nAN5/X9tnrVx07kyL+4qKuiHCjGvBOXnqUl5Om3a//w788Qd9P3yY1kQtW9Lmd0UF4OEBTJoEjBsH\ntGuntdQyePKSk5MREhKC4OBgzJkzx+qYqVOnIjg4GOHh4UhPT7frXGelsBBo1UrbQgOuauSxzjoO\nh2sycpOUBNRqAegUtGwJhIYCe/dqLYl2aH2vdZYwTQutWlHBtKNHtZbE9ZCiy3JTVgYUFAABAQ2P\nY0+ePBw+DPTvDzz5JLBvH0WevP46sGcPbSQVFgJZWeRlX74cOHiQxowaRZWjNUVIoLy8XHTp0kVk\nZ2eL0tJSER4eLjIyMmqM2bRpk4iNjRVCCJGamiqio6NtPlcIISSKqFsOHxaic2dtZdi2TYh//ENb\nGdSgug6xzjpORYUQTZsKUVKinQynTgnh5aXd/GqhhQ5pMWdOjhDe3kKYzapPrQpPPinE3LlaS6EO\ntfVH63vtxo1CtG8vxNmzUj+Zvhg+XIjVq7WWwjmw9Z4nRZcdnbMhsrKE6NSp8XH33ivEZ59Jns5l\nqagQYskSIdq2FWLRIvueU4WFQrz5phA+PkJ8/bV8MtmrP5I8eWlpaQgKCkJgYCA8PDwwevRobNiw\nocaYjRs3Yty4cQCA6OhoFBYWoqCgwKZznRmtc5sA1+w5xjrrOJcukee5oearSnP99SQH7046B5s3\nU8EVZw09i4oCfv1Vaym0QYt7rRDA998DMTHA1KnAqlXOEaZZnT59gNRUraVwLRzV5ZMnTyoiT05O\n4z3yAPbkOYrZDPzyC3DXXcCyZZQ3/uST9j2nWrcGXn0VWLcOePxx4IUXyAOrNpIerfn5+Qio5i/2\n9/dHfi2rob4xx48fb/RcZ0br3CYA8POj0De9JYpWVAAZGcCHHwJbtsh7bdZZx9GDzppMQIcO+tuc\nEIIevKtWAatXay2NcXDWfDwLHTpQWJUrota99j//ARYsoMIqffsCTzxBeXiHDwO33Sbzh9IB3JqD\nNvpmz1Zv0eyoLucplFtgSz4ewEaePZw4Abz7LoV2X3895dT17w/s2gWEhDh+3X79gPR0WtMOGKB+\nuomkjDCTyWTTOCHRinjttRlo0oR+jomJQUxMjKTr6QGtc5sAoEUL+tKDVxGgCmgff0y7lF5e9MC2\nZbeqNikpKUhJSbF6TC2dnTZtBjw96WfWWXmx5OUFBWktCT0A5s+nhGwh6IY+fLj912lIZ52VK1eA\nlBT6n3dWfHyAU6e0lkIb1LrXbtgwA2Yz7b7HxsbgX/+KqVwvOCORkVT44e+/tY2q0IoffiAjvn9/\nuod4eNh+rqP3WUd1ub7zbrppBgYOpL+fI+sDe4w8LrzSOJcvU0RJr17AQw+Rg8HHR77rt20LbNwI\nvPcecM019p0rdW0gycjz8/NDbrWswtzcXPj7+zc4Ji8vD/7+/igrK2v0XAsRETMwYoQUSfWH3hbM\nWhp5QgBz5wJLlgDvvEOLPl9fx69X+6b5xhtvVP6sls56ec3A6687/hn0iN50Vmu++gqIjwfeeov0\nNzCQPI2O0JDOOis7dgDdu+tDp5TCxwdQKGJL96h1r921a4a8guuc5s2BsDAKA+7fX2tp1OPSJeDF\nF+m++/77wLBh9l/D0fuso7rs5+dn9Xq33DIDn35K650BA+z4AFfJzratWBV78mzj+efJW/fJJ44/\nwxvDzY1CPu1F6tpAUrhmZGQkMjMzkZOTg9LSUqxduxZxtcpYxcXFYcWKFQCA1NRUeHp6wsfHx6Zz\nLTjjTu+ZM/rwnmm9YK6oAJ57DlixguKeR46UZuA1hlo6u2wZfTZngnW2ig8+oLCw5GTg0UdpV1Wp\nh4Oz4qxVNavj5QVcuKBNLobWqHWvdUVuucW1QjZ/+AHo2RMoKqJeZI4YeFKQosvWeO89MlbnzAHu\nv99+Q8xWT16zZmzkNcY33wBff03PdGd8hkvy5Lm7uyMhIQFDhgyB2WzGxIkTERoaiqVLlwIA4uPj\nMXToUCQlJSEoKAgtW7bEsmXLGjzXGrt2AcePU36Ds3D2bOPlb9VAywVzaSmFXeTk0K5+mzbKz6mW\nzl53HT2YnCknRE+evMOHtZlbCODf/6YyyT/+qI+QUaOyeTOwcqXWUihLkyb0P3PmDNC+vdbSqIta\n91pXpE8fSm9wdoqLgZdekua9kwMpulwf0dFAWhqtge64A9iwAfD2tk0ee8I1z5617ZquyIkTtEn7\nxReoTK9xNkxCakC8wphMJkycKBAcDEyfrrU08jFyJO3g3H+/tnLMnEnG1r//re68xcX0O7jmGmDN\nGmVzC0wmk+S8D3vnW7BA4JdfgE8/VW1axZkxg7yTM2dqK8eXX5Lnd/16dec1m6li308/kYGipMfZ\nms4mJydj2rRpMJvNmDRpEqZbuSFOnToVmzdvRosWLbB8+XJEREQgNzcXY8eOxalTp2AymfDYY49h\n6tSpNs2pFAUFFKp5+rTzVta0EB5OYUC9emktibKofZ/Vak49kJ1NOevHjzun9wGgfN2JEykkdcEC\nZTaB9aCzQgCvvQasXUvRDcHBDZ9fUkIbR5cuNX7vXLSI+rctWiSD4E5GRQXl4fXvD/zrX1pLYzv2\n6qyGrbhtZ8IE+nrhBee5oeml2Im/P3kk1OTkSSpN27s35eFp2RBeKcaMoRvHhQtUStcZOHu28QeQ\nGmjhff77b+DBB4GLF8lDe9116s5vNpsxZcoUbN26FX5+foiKikJcXFwN70ZSUhKysrKQmZmJ3bt3\nY/LkyUhNTYWHhwfmz5+PXr16obi4GDfddBMGDRqkqWfk4EEy8pzdwAOAdu1cNy+PUYbAQDIOjh51\nrDiZntm3jzadU1O19d6phclEnzcwELj1VuDzz+l7feTkAB072nbv5Jy8Ko4cId06c4a+fvuNfjev\nvKK1ZMpiiEdsnz703Zli0PVQjh6Qb8F88SIlRTe2wXD4MO1AxsUBS5c6p4EHkAE/cCDtzjkLzqaz\nQpDOXrzY8LizZ+lv2aIF7bSqbeAB0vo0+fr6otdVN1KrVq0QGhqK48ePq/4ZqvPnn0C3bpqKoBqu\nXGGTUQaTyflaKfzyC3D33dRSpV8/ukc4u4FXnUmTyON/331keJSWWh9na488gHPyLJw/T+vOVauA\nvXvJG2oJeXbWNagFQxh5JhMwfrxzFWDRU36THD3HvvySkogPHqx/zO7dVEnq5ZeB1193Hq9sfbDO\nKoOPD3DuXP0PQVvZu5d0dvPm+sccPUrhHP36Ueht06bS5nQUufo05eTkID09HdHR0coK3AiuZuSx\nJ4+RG2cx8kpLqVn08OHAoEHkcXn6aaBlS60lU58hQ8jbdOAAEBUF7N9fd4yt+XgAe/IszJwJjBhB\n69SlS6ki9tNPK5tyoRcMY8OOHUtlgxcuNP4/vxD6WTD7+wO5uSSTFKMrMRHo1ImSh8PC6h4vL6eb\n+NKl5MVzBYYMoaTejAzrvxOjoRedbdKEbs4nTpDOOUp1na0vN3b8eLr3vPSS4/PIgRx9moqLizFy\n5EgsXLgQrVq1snr+jBkzKn9Wsr/jn38Ct9+uyKV1h7OGa7pib0c90acP8MwzWkshjYICys338qLe\nf86S2iAFX196Jn3yCRVkefFF+jtbbuVs5NnHn39Sga+MDK0l0QbDGHnt29Nu+hdfUCd6I3PpErmI\n9dDI9Lrr6OZRVOT4DfbUKYqf/+QTYNYs6wvi7dvJoHQVAw+gv/HYsdROYe5craWRjl7ySAHAz49C\nNh018ioqKJR22TIy8MrK6jbVzc+nXdWGPH1qIbVPU1lZGe6991489NBDGN5At/bqRp6SuJonzxkX\nGK7Y21FPREaSXhm1Kfru3WTgTZxIkT2ukJ9rKyYT8MgjVJ172DDa0Jw7l97PzgZuvtm263AzdOqB\nN3267ZVLnQ1D/VtNmAD897+N533pHb3kNlmQmuP0+edUSCU2lhZvBQV1xyQmAg884PgcRmX8eArz\nu3RJa0mkoye9laqzO3fS7vHAgdQGYceOumPWriXv8zXXOD6PXEjp0ySEwMSJExEWFoZp06ZpIX4N\nrlwhA9rW3Wijw+GajBJUb4puFMrL6V77zDPAP/8JJCRQ1WY28KzTqRNVGd25E4iPpwrP7MmznS1b\naCPEkSbkzoKh/rXi4kjJ//tfrSWRhl7C3ixIXTBbDLimTSlE8euvax6/fJnK3Y8aJU1OI9KtGzB4\nMFWGNTJXrlDuxLXXai0JIVVnV6+u2nSIi6PwGGtjHnzQ8TnkpHqfprCwMIwaNaqyT5OlV9PQoUPR\nuXNnBAUFIT4+HkuWLAEA7Nq1CytXrsT27dsRERGBiIgIJCcna/ZZsrKocEBtz6mz4qzhmoz2GCUv\nLz2dIrB8fYGnnqIIot27qdAK0zBeXmSsZGUBDz1kn5HnyoVXystpM+Gdd/SxUasVhgnXBCj8bcUK\nKoQwaJBxGxE7k5F39Chw6BAZMgDdtFetolw0C5s3U6+oq5FjLseiRUDPnlWJ5Ubk7Fl62OilWI4U\nnS0rA9atA/bsodd3300hMQsWVH2+zEy6vp6a2cfGxiI2NrbGe/Hx8TVeJyQk1Dmvf//+qKioUFQ2\nezh0yHVCNQGurskoR58+FEmjZy5epHvslCnAm29S+X/GPq69lio733cfGS+2rh9dxZNXXg7Mm0dG\n7Q030Cbitm0UounqGwmG8uQBQEgI8OqrFK9sNmstjWOcOaOf3CZA2oJ5zRrg3nurqg7GxlLfveLi\nqjGuGqppwdMT+Ogjyj0oLNRaGsdwJp3dsgXo2rWqDPWNN1K4UPVKZomJlKvXpIlkUZlauFI+HkCe\nvPu8ZiYAACAASURBVNOnKQ+UYeTE4snTcwrLq69SWPwLL7CBJ4Vmzag65Pff277Z6io5eQsWUL2O\nzEwq7jd6NFXOnj9fPxvTWiHJyDt37hwGDRqErl27YvDgwSisZwWbnJyMkJAQBAcHY86cOZXvP//8\n8wgNDUV4eDhGjBiBCxcu2DTv1KkU6jNvnhTptcOInryLF6msb21qG3CenkB0NPDdd/S6qAj49lsy\nBPWAVjo7aBB5i6ZOleVjqI4RddZsppCg2tTWWZOJdvssIZtC6CtU09n480/arHMVmjalitDnz2st\nCeNsWApPHT2qrRz1sXs38NlnzlF4TA94eNhedAVwDU9eTg4V/Fu9mnI8N22iPLwTJyiCzNWRZOTN\nnj0bgwYNwuHDh3HHHXdg9uzZdcaYzWZMmTIFycnJyMjIQGJiIg5ebaY2ePBg/PHHH/jtt9/QtWtX\nzJo1yzah3aoqFlozPPSOERfMH3wA9O4NfPhh1XsZGbRDfeutNcfefTewcSP9vGED8I9/6OfzaqWz\nAPCf/9Cu61dfyfZxVMOIOrt1K3DLLbSDbPH6l5QA33xDYS/Vqa6z+/ZR/qHGreScFlfz5AEcssko\ng8lE96m0NK0lqUtZGaVtzJunr2eHK+HsRp4QwBNPUO5dcLDW0ugTSUbexo0bMe5qP4Nx48Zh/fr1\ndcakpaUhKCgIgYGB8PDwwOjRo7Hh6pb5oEGD4Ha1rFJ0dHSdxr0NERhI7thx44wXtqnHBXNjDdG3\nbAH+/W+6YT/9NP3OExPJLV47pG3YMNpNKS/XX6imljrbsiXllD7+OOmAkdCbzrZvT8UsGvrf37KF\nkvz37AHuuYe80d98QzuhPj41x/bvTwnteXlVeu3qYR5KIITrGnlcfIVRgqioqvxiPTFvHuXh6+n5\n72o4e+GVzz8nL/bzz2stiX6RZOSdPHkSPldXSz4+Pjhp5SmWn5+PgICAytf+/v7It2JRfPzxxxg6\ndKhd848fTzsVn31mp+Aac/y4sfKbLl8Gdu2iEr4//wz8/jsZctUrFFanUye65saNdJ6eeuNprbN9\n+tDv7t137RRcY/Sms02bktHZ0ML5u+/IWPv2W6rq1q8f8N571nXW3R0YOpQ8z4mJHKqpFKdPUySG\nnnRJDbjCJqMUejTysrKoquGSJbxZpiWWCsZlZdrKoQSFhcC0aZSDZ6kJwdSlUSNv0KBB6NGjR52v\njZbYpquYTCaYrPw3W3uvNm+99RaaNm2KB+1cWZlM1GNl5kxjePOEIO/j3r1AtR6ymuPlRbs99fVy\n27WLilN4egJt2lCVpxtuoF2im26yfo6lmtbQoUCrVsrJbo3aOgtANzoLAK+8Qm1Azpyx+1RN+PJL\n4P33gREjtJakJg1tTpw4AeTmUsPgpk3pQTBhAvDbb+TVs8bddwNvvUV6fuONysntCuzcCbz8ct33\nXdGLB3C4JqMcN91Eawq9rIEuXKBNspdecp1emHrGWYqvlJeTjldU0Fr6xRfJgdCvn9aS6ZtGWyhs\n2bKl3mM+Pj4oKCiAr68vTpw4gXbt2tUZ4+fnh9zc3MrXubm58Pf3r3y9fPlyJCUl4fvvv693nhkz\nZlT+HBMTg5hqFtLAgbSjv3atvnffhSCXcnIyLYD01E7AZCJ58vOp6mBtvvuuZul/Dw/yiJSV1b9L\nd/fdwBtvaBOq8corryAlJaXy9e+//44DV5M39aCznTpRTti77wJvv+3AB1SR//0PeP110tvevbWW\npiZ+fmTkWUtE37qV2h+4X73DmUy06/fEE/X3ZxsyhMJSp0xRTub6SElJqaGzRueTT8gj+tprtMiw\n4MpGHnvyGCVo25ZKxR8+DISGaivL+fPUTqlPH8qTYrTHkpenlx63jrBiBVUnr6ioqlLcqRPlzzON\nICTw/PPPi9mzZwshhJg1a5aYPn16nTFlZWWic+fOIjs7W1y5ckWEh4eLjIwMIYQQmzdvFmFhYeL0\n6dP1zmGLiFu2CNGtmxDl5Q5+EIUpKxPikUeEuOUWIc6e1Voa6wwYIMT331s/FhEhxI4d9l2vokKI\nN98U4vJlyaJJproO6UVnjx4VwstLiAYuoykVFULMni1EYKAQhw9rLY11nnhCiIULrR97+GEh3n/f\n/msmJAhx4oQ0ueRA4q1Z0zkrKoTo0EGIzp2FWL++5rHnnhNi1ixZpjEU//2vEJMmaS2FshhZZ43O\nqFFCfPKJtjKcPi1Er15CPPMM3QOMgCvobECAEDk5qk4pK0eOCHH99ULs31/1XkWFcXRMbuzVH0k5\neS+++CK2bNmCrl27Ytu2bXjxxRcBAMePH8ddd90FAHB3d0dCQgKGDBmCsLAwjBo1CqFXt5uefPJJ\nFBcXY9CgQYiIiMDjjz/ukBx33EE7WWvWSPk0yjFpElBQQN4FLy+tpbGOvz+Ft9Xm9GngyBH7Kw2a\nTNQf55pr5JFPLvSisx07Uh82vbYBmTcP+PRT8jrrtWpVfTorBBVdcaTx/BNPUP4e4zi//Qa0aEGe\n0y+/rHnM1RqhW+BwTUZJtM7LO3UKuP124M47KReP8/D0gxEqbKam0jO7NuXlwMMPU+j/1cwbAKRf\nrGO2YbpqGeoWk8kEW0Tctg2YPBn444+qEC09UFJCD/jjx/XtLn//faqI+c03Nd9PTCTj2dJDzIjY\nqkNqz5ebC/TqRQtfb28VBLODsDAKkYiM1FqS+tm5E3jkEfr9Vf+fP3AAGD6cNieMito6K+ecb71F\nm0PPPw/07En5kZbE+K5dgfXrSb9ciZ9/pqrEqalaS6IcRtZZo/Pjj9QqRgv9Kimh8ExLioaRFt+u\noLO9egHLl9N3PWI2Uw78yZOUx/ncc1U69NZbwPbtlDLkJskl5TzYqz9O82u77TYyphITtZakJrt2\nUUNGPRt4AFUq3bev7m6gox4RpnECAoBRo2jnU08cP0433IgIrSVpmP79yZu3cmXN91lntSUpiQou\n+fmRUWdJNSwtBY4dA7p00VQ8TeDqmoySRETQ5lZpqfpzT51KXhajGXiugt49eWvXUkG/336j9fv4\n8cCVK8AvvwALF5KBygae4zjNr85kopvMm2/qp8oUAHz/PYWT6p1mzaha0cyZVe8JQTsogwdrJ5ez\n89JL1GD+9GmtJali2zaq/lq7/6EemTGD+jeWl1e9xzqrHWfPUouVAQPo9YgRwLp19PNff5FRrrcQ\nbjVwtXDNc+fOYdCgQejatSsGDx6MwsJCq+OSk5MREhKC4OBgzJkzp/L9GTNmwN/fHxEREYiIiEBy\ncrJaohuSa6+l3sG//67uvKtWATt2UCSQMxt4turzhAkT4OPjU1nVWw+0aFF/5XStMZtpzfnGG7Tp\nvWMHUFxMob8PPQQsWkTPDMZxnMbIA2hh2rIlec/0glGMPIByB9PTaQcFoDC4Jk30m5PlDAQEAHfd\nRU099YKRdDYmhh4Cq1bRa0tPx9tv11QslyU5maIqLIbcvfdSeKbZTJU1Q0K0lU8rLG1kiou1lUMt\nZs+ejUGDBuHw4cO44447MHv27DpjzGYzpkyZguTkZGRkZCAxMREHDx4EQCFJzzzzDNLT05Geno47\n77xT7Y9gOKKiqp7danD4MOXdfvaZ/iOVpGKLPgPA+PHjdbch0bkzkJmprQz1OV4SE6ln6sCB9Lpl\nS9KnQYPoa/Ro9WR0VpzKyDOZKBdHL/lj58+ToXTLLVpLYhu1vXkWj4gz79DpAT3prBDGMvKAmt68\n6j0dGfWxhGpa6NwZ6NCB/i6u2j7BgiuFbG7cuBHjxo0DAIwbNw7r16+vMyYtLQ1BQUEIDAyEh4cH\nRo8ejQ3VboSca2cfahZfuXyZCoe9+Salozg7tugzANx6661o06aNmqI1Sq9e2rYaOHWKwvanTatq\nfwDQ89rixau+xnRzo2f64sWqi+qUOJWRB1BzxA0baLGqNSkpQN++VUUHjMCkSdRY9ddfObdJLQYP\npsIMRUVaSwJkZdGum7V+iXolJoYMidWrWWe1xGwGvv22ppEHVIVsurqR50ohmydPnoSPjw8A6k16\n0op1m5+fj4CAgMrX/v7+yM/Pr3y9ePFihIeHY+LEifWGxzFVKGXkCUGFXb76irwsq1dT3lS3bkB8\nvPzz6RFb9FmvhIdLM/JOnCBjzJH1yeXLtIk9fDhFiY0eXdWYffVqoH17jrpRGh3VoZSHXr0o+fjg\nQe0ruBnNIwKQN2/6dGp/sGsXNTVmlOXaa6mISHIy7Y5qiUVnjea9nTGDFhzNmwPvvae1NMqQnJyM\nadOmwWw2Y9KkSZg+fXqdMVOnTsXmzZvRokULLF++HBFXq+fYcq5Udu+m0NnaORT33kuN5jt2BMaO\nlX1aw+BsDdEHDRqEgoKCGu/16NEDb731Vo33TCYTTFZuKNbeszB58mS8/vrrAIDXXnsNzz77LD76\n6COrY2fMmFH5c0xMDGJiYmz8BM5Fz54UQllSQnlYcrFzJ3DffbRh7eFBlYw9PYE5c4z3nEhJSUGK\npRJULazpMwCb9dke1NTZnj2p6rzZ7Fie/YoVwEcfAR98AMyfD4wcWfV3P3uWagps2gQ8+ywZcxaE\nACZMoJSUuXNpXT52LLXZ+OIL8gJ/+KHxdEhtGtJZm5CvRZ8yOCLiE0/oo+FuSIgQv/yitRT28/ff\nQrRvL0RkpNaSyIPaau7IfO+/L8SYMQoIYycjRwqxfLnWUthPRYUQ//iHENdeK0RpqdbSSKe2DpWX\nl4suXbqI7OxsUVpaKsLDw0VGRkaNMZs2bRKxsbFCCCFSU1NFdHS0zedam9NeXn5ZiJdesn4sJEQI\nNzd9NJrXikmTqCm6s1Jdf7p16yZOXP1jHz9+XHTr1q3O+J9//lkMGTKk8vXbb78tZs+eXWdcdna2\nuPHGGxudkxGid28hdu2S95rDhwuxZIm819QLtuqPLfpsoSF9tWdOOenSRYiDBx079+abhdiyRYgd\nO4To3l2IO+8U4rvv6H7m6SnEuHFCrFolRHAwrR8s9/h//UuI6GghSkqqrmU2CzF1qhBt2woREyP1\nU7km9uqP04VrAtSvRescp/x8Cs3Ra2+ShmjWDHj3XdcJxdADw4ZRPlNZmXYyVFRQTxqjeZ8B2g2c\nM4fKeXt4aC2N/DSWvwTUzBuJjo5GYWEhCgoKbDpXDjZtoiJC1hgxgoqPXI14ckmUCtc8daoqBEov\nxMXF4ZOrYSCffPIJhlff4r9KZGQkMjMzkZOTg9LSUqxduxZxcXEAgBMnTlSO++qrr3RVrVDPyF18\nJSuLPHmu7IEHbNNnPeNoyGZuLunAgAEUbbR3L6VHPP000KkTheAvXw48+CC1QAgKIs/hlCn0/oYN\nFF1jwc0NWLAAmD2b2iMwyuOURt6AARSuacXzLjvnzwP9+tUNwzFSGXprjB5N+XmMOvj5Uf+wnTuV\nn0sICpn49dea7//2G9C2rXFLFt9yCxVgcUYay19qaMzx48cbPVe6fLQgiI62fnzMGMqXduXQHKXC\nNceNo9AnWxGCno+bN1MI1quvUoi+nLz44ovYsmULunbtim3btuHFF18EABw/fhx3Xd0JcHd3R0JC\nAoYMGYKwsDCMGjUKoaGhAIDp06ejZ8+eCA8Pxw8//ID58+fLK6CTInde3sKFwGOPUdVDV8YWfQaA\nBx54AH379sXhw4cREBCAZcuWaSVyDXr1oue7vaxfTxvQlo3Tpk3pXvH773TfaNeuamzz5sCsWVSw\n79gx4OuvrW/qmUy0tuzZ07HPwtiH0+XkAaSIQ4YA33yjvKHyww90U330Udq1sCxijJiPx2iLpWjQ\nbbcpO89ff9EmxMMPk6Fn2WljndUvtuaACIkVp/r2nYEBA6gFQkxMDPr2jcFXX1FeRu/ewAsv1C2X\nfuEC5UQOGUL5OtYICwM+/VSSaIanXTsqYFGd7GzaUPvpJ8c2BP/+m55Bhw/TBkdjaiIE8NRTVAjn\nxhspT7JjR6B7d/vnbihXxMvLC1u3bq3zfocOHbBp06bK17GxsYiNja0zbsWKFfYLxCAqivKf5OD8\neWDlSsrncnVs1efExEQ1xbKZXr2AJUvsP+/LL8lrZ+9cGzfaPxejDA578qQ2O7Uwb948uLm54dy5\nc46KYpW775ZH0dLTaXeiPrZvB155hXYuli+n94xYht4VMIrOSq0Me/Ik8OST9R/fvp0S6W+8kXbj\nLLDO6hc/Pz/k5uZWvs7NzYV/LZdr7TF5eXnw9/e36VwL3brNwKefzoC//wwkJ8egY0dg6VJg1Cjg\n6FGquvrf/1L568uXgXnzqI9meTn9zNSPtXDNzz4D0tLIyHOEHTuAiAgyrtPSGh4rBPDcc1TJN+P/\n2zvzoCjvM45/lwRymShGQCIqBiWCC7uoCdbRKFE8sAGvdDSjtYkm8RqTmlBrp7ZqM4im1jHqxNao\nsWk8ahrFOEiiCURzKN4aST0ijoKAEY+KR1D26R+PL7Ds4e77vgt7PJ+ZnWHf49lnd77s/o7nKOJK\nqCtWALNmAaNHu//affv2xezZs2sfQtMTHw+UlPDCi1b+8Q/exXniCe22hKZFTbjmTz9xeKZUq/Zx\n1Cb/ZWZm0vz584mIKDs7m2bMmGFzzb0S/s+ePUsDBw6k6OhoqqystPs6al28dImLMFRVqbq9lvHj\niZo3d1zMISGB6LvviA4fJmrViqi4mOj4caI2bbgYhND0KBryds1aLETt2xMdOaLq9loWLSICWIv2\nePFFohUriH76ieiJJ4jy84l+/pn/Xxy8JaGRaaih27dv05NPPknFxcX0888/37PwynfffVdbeMWV\ne+u/5rffEqWmEk2fTvTf/1pfs38/0XPPcSGVqCguyvD993q9a/+mqIioYb2Gbt24AMHrr6uzOX06\n0Zw5XOTAmQ2Lhej3vycym/m30RNoGE741Gt6Oz17clGMlSuJCgqISkrcH4tUV/MY5sABz/joLQSK\nZi0WotBQovJy1+95/32iF17wnE+COtzVj2q1PfXUU1R+VzFlZWV2qw19++23VtWz5s2bR/Pqlb0c\nOXIkHT582CMDZiIejGzerPp2unWL/zE6dOAvy4ZcuED02GN1E8DsbKI+fYiWLiX69a/Vv66gL4qG\nfEGz06YRvf226tuJiOjpp7ma1tKltucsFq6ceuoUP9+6lSeWW7dyZTbBO7CnodzcXIqNjaWYmBjK\nysoiIqLly5fT8nolG6dMmUIxMTGUmJhI+/fvd3qvK69pD4uFaMcOoj173HlHwsWLXI1O4fRporAw\nXiBs21bdomCXLkS7d/NkPDKS6M4d+9f9+c9ERiMv7HiKQBk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"text": [ "" ] } ], "prompt_number": 71 }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are several clusters with only one or two windows in them. Are these important to have in the dictionary, or are they worsening our performance? Visualizing the results suggests that these are probably windows we do not want to include in our dictionary. \n", "\n", "### To try: \n", "\n", "Remove some of the smallest clusters from the dictionary to see if this affects our performance. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Saving and Loading models\n", "\n", "Why redo all our work every time? sklearn has an easy way of saving and loading models which makes it very easy to experiment. \n", "\n", "Here we save the sklearn model we've constructed. This is the trained minibatch kmeans produced by the `model.fit()` command above, from which we got the basis dictionary. \n", "\n", "Alternately, you could smay just try saving the basis dictionary instead using `np.savez()`. These are all really just wrappers around python pickling. \n", " * http://docs.scipy.org/doc/numpy/reference/generated/numpy.savez.html" ] }, { "cell_type": "code", "collapsed": false, "input": [ "modelfilename = \"model_trainsize={}_stepsize={}_windowsize={}_nclusters={}.pkl\".format(\n", " len(fullsignal),\n", " step_size, \n", " window_size, \n", " k\n", " )\n", "\n", "from sklearn.externals import joblib\n", "joblib.dump(model, modelfilename, compress=9)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 72, "text": [ "['model_trainsize=2000000_stepsize=32_windowsize=32_nclusters=200.pkl']" ] } ], "prompt_number": 72 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load previously saved model\n", "\n", "Use the following method to load a model you've previously saved. \n", "\n", "```\n", "modelfilename = \n", "from sklearn.externals import joblib\n", "model_reloaded = joblib.load(modelfilename)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reconstuction I: Just one window\n", "\n", "We'll now use this \"dictionary\" of normal windows to reconstruct signals. \n", "\n", "For clarity, we'll do this in two steps. First we'll just look at one target window, and try to find the window in the dictionary that best represents the target. We'll measure success using mean squared error. \n", "\n", "(Yeah, probably \"reconstruction\" is not the right word here. We are just picking one item from the dictionary.)\n", "\n", "In the next step, we'll reconstruct a longer signal (composed of multiple windows)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.metrics import mean_squared_error" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 73 }, { "cell_type": "code", "collapsed": false, "input": [ "## Reconstructing a single window\n", "\n", "def reconstruct_window(window, basis, plot=False):\n", " proj = np.apply_along_axis(window.dot, 1, basis)\n", "\n", " #Find closest basis vector\n", " maxidx = np.abs(proj).argmax()\n", "\n", " if plot==True:\n", " print \"Best Projection: \", proj[maxidx]\n", "\n", " # Visual inspection\n", " fig, axes = plt.subplots(2, 1, figsize=(6,6))\n", " axes[0].plot(window)\n", " axes[0].set_title('Original')\n", " axes[1].plot(basis[maxidx])\n", " axes[1].set_title('Reconstructed')\n", "\n", " # find error\n", " print \"Error: \", mean_squared_error(window, basis[maxidx])\n", " \n", " return basis[maxidx]\n", "\n", "# Select any window for testing\n", "some_window = window_list[100] \n", "\n", "# Reconstruct this window\n", "basis_window = reconstruct_window(some_window, basis_dict, plot=True) " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Best Projection: 0.307076572506\n", "Error: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 0.000165651622713\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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O+/rqn7X9np+vE8C8eZCYqNeQuu46fWI/n61bdVL45BPYtk0PGz54EEaM0Emg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\ncQ133gnduunZyUKI+iHJwMVNmQKlpfD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"text": [ "" ] } ], "prompt_number": 74 }, { "cell_type": "markdown", "metadata": {}, "source": [ "These two -- the original and the selection from the basis dictionary -- should look pretty similar, if all is going well. And of course, the error should be very small. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reconstruction II: signal\n", "\n", "Now, given a longer signal, we will reconstruct it by combining multiple windows from the basis dictionary. " ] }, { "cell_type": "code", "collapsed": true, "input": [ "## Reconstruct a longer signal \n", "\n", "def reconstruct_signal(sig, basis, plot=False):\n", " \n", " dict_size, window_size = basis.shape\n", " \n", " n_segments = 2 * int(len(sig) / window_size) - 1 \n", " rec = np.zeros(len(sig), dtype=float)\n", " \n", " print \"n segments to use is:\", n_segments\n", " print \"dictionary (basis set) size is:\", dict_size\n", " \n", " #split the signal\n", " for ii in xrange(n_segments):\n", "\n", " # Obtain index range\n", " start_idx = int(ii * window_size/2)\n", " end_idx = start_idx + window_size\n", "\n", " # Slice signal over range to get window\n", " s = sig[start_idx:end_idx]\n", "\n", " # reconstruct this window\n", " bvec = reconstruct_window(s, basis, plot=False)\n", "\n", " # Update complete reconstruction\n", " rec[start_idx:end_idx] += bvec\n", "\n", " if plot == True: \n", " print \"window size is: \", window_size\n", " print \"Error: \", mean_squared_error(sig, rec)\n", " \n", " fig, axes = plt.subplots(nrows=3, ncols=1, figsize=(int(n_segments/3), 4*3))\n", " axes[0].plot(sig)\n", " axes[0].plot(rec)\n", " axes[0].set_title('Original and reconstructed signal')\n", " ylims = axes[0].get_ylim()\n", " axes[1].plot(sig)\n", " axes[1].set_title('Original signal')\n", " axes[2].plot(rec)\n", " axes[2].set_title('Reconstructed signal')\n", " #axes[3].plot(sig - rec)\n", " #axes[3].set_ylim(ylims)\n", " #axes[3].set_title('Residual')\n", " \n", "\n", " return rec\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 95 }, { "cell_type": "code", "collapsed": false, "input": [ "# Select a longer signal to reconstruct for testing.\n", "signal = fullsignal[:800]\n", "\n", "signal_reconstructed = reconstruct_signal(signal, basis_dict, plot=True)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "n segments to use is: 49\n", "dictionary (basis set) size is: 200\n", "window size is: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 32\n", "Error: 0.0114822651959\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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H3dc9rjlndeCqaio6eoffCLci67hGUoOvEXSb9H6b5Av4sAcSoJMnySitL2Xw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OhOCX9smbjiChEkvPOOoF2+9JIIGBYvFoHCs8/CTTeJQtKSJSJZePRRKC8NxtTYmwGjq1i+XFQd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\n2elYzLvT/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SAj0ODp2e+e5cSMEzkxI/Rbi4SzDlEJfHPVWo6dN4npd52J/7RryE6Yyacl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7BWWsMiOVMNCaa0B7qrBnERwj+lB1NbewufTS0D8L4DgWHc1MrG++MeYzFfwVZlJo1ozj5MqV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Gs1E3qqhXvuwd42aBDahejt36qX3/0Oa/Qvv3h+hpWVUN6vvBLh52bGZVER8pS/+cZcfqua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\nnNNhDtfCDjwujaNerDkc0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"text": [ "" ] } ], "prompt_number": 96 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Aside: playing with the residual\n", "\n", "The residual is just the difference between original signal and reconstructed signal. The better our reconstruction, the smaller and less significant the residual will be. \n", "\n", "This section is TODO" ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.set_printoptions(precision=2, linewidth=100)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 79 }, { "cell_type": "code", "collapsed": false, "input": [ "# explicitly calculate the residual here. \n", "residual = signal - signal_reconstructed" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 80 }, { "cell_type": "code", "collapsed": false, "input": [ "# bounds to look at: \n", "start = 10; stop = 20\n", "print signal[start:stop]\n", "print signal_reconstructed[start:stop]\n", "print residual[start:stop]\n", "print '-'\n", "\n", "# Sanity check on error calculation\n", "tt = np.power(signal[start:stop] - signal_reconstructed[start:stop], 2)\n", "print tt.mean()\n", "print mean_squared_error(signal[start:stop], signal_reconstructed[start:stop])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[-0.04 -0.06 -0.04 -0.06 -0.06 -0.04 0.01 0.03 0.06 0.06]\n", "[-0.05 -0.07 -0.09 -0.08 -0.1 -0.08 -0.1 -0.09 -0.06 0.2 ]\n", "[ 0.02 0.02 0.05 0.03 0.04 0.04 0.11 0.12 0.12 -0.15]\n", "-\n", "0.00680137869974\n", "0.00680137869974\n" ] } ], "prompt_number": 82 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(residual)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 83, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Z0K+8Alx4If0eSwHweoGhQ/0XXYkV76EIQFUV8Mkn0cmfXQLQ2UlpJyeHJgAtLcGfkewC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\nFsg4YRUwYK0LqKQE+Oora89fEAjhdUK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"text": [ "" ] } ], "prompt_number": 83 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reconstruct a larger signal\n", "\n", "Now let's reconstruct a much larger signal. We won't plot this, but we'll check the mean squared error to see how we did. \n", "\n", "### Training error vs Test Error \n", "\n", "Note that we are still reconstructing part of our training data set. We should expect to see a small \"training error\" if things are going well. \n", "\n", "Next we'll try loading data we didn't use to construct our basis dictionary, and see how well the reconstruction method performs. This \"test error\" will be a more trustworthy way to evaluate our success. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "# Warning: Depending on the signal size, this can take a long time. \n", "# Below we'll %%timeit to check running time, for reference. \n", "\n", "sig_size = 50000\n", "long_signal = fullsignal[:sig_size]\n", "long_signal_reconstructed = reconstruct_signal(long_signal, \n", " basis_dict, \n", " plot=False)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "n segments to use is: 3123\n", "dictionary (basis set) size is: 200\n" ] } ], "prompt_number": 86 }, { "cell_type": "code", "collapsed": false, "input": [ "%%timeit\n", "\n", "long_signal_reconstructed = reconstruct_signal(long_signal, \n", " basis_dict, \n", " plot=False)" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "print \"\"\"\n", "Parameters: \n", " Signal size to reconstruct = {}\n", " Size of basis dictionary = {}\n", " Window size = {}\n", " Step size = {}\n", "\n", "Results in Mean Squared Error: {}\"\"\".format(\n", " sig_size,\n", " k,\n", " window_size, \n", " step_size,\n", " mean_squared_error(long_signal, long_signal_reconstructed)\n", " )\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Parameters: \n", " Signal size to reconstruct = 50000\n", " Size of basis dictionary = 200\n", " Window size = 32\n", " Step size = 32\n", "\n", "Results in Mean Squared Error: 0.016030055768\n" ] } ], "prompt_number": 89 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### How to improve this model. \n", "\n", "There's many things you might want to try to improve this model. I've listed some ideas below. Which do you think would yield the most improvement? \n", "\n", " - Adjusting the window size to be smaller or larger\n", " - use step_size << window_size (much smaller, . e.g. step_size=2)\n", " - Try different number of clusters\n", " - Train on a different or additional \"normal\" signal. (How we know our training set was normal in the first place? ) \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Test error\n", "\n", "Reconstruct a normal signal not used for constructing our model\n", "\n", "This section is TODO\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Measuring success in Anomaly Detection systems\n", "\n", "A good model for anomaly detection is one that has a very low error (a small residual) for normal cases, and a high error (a large residual) for anomalies of interest. \n", "\n", "We have a small error for the signal used to build the basis, but that's to be expected. We need to confirm: \n", "\n", " * other normal signals have small error as well\n", " * anomalous signals have large error" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reconstructing an anomalous signal\n", "\n", "We'd like to find EKG data from an unhealthy heart. We can try to reconstruct that anomalous signal using our trained model -- which uses a dictionary constructed from healthy heart data only. \n", "\n", "Thus, we expect a poor performance (high error) in reconstructing anomalous EKG signals. Thus we can use the error rate as an estimate of how likely a signal is to be anomalous. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Load a signal segment known to be anolamous. \n", "anomalous_dataset = 'a01'\n", "start = 4825\n", "end = start + 15\n", "\n", "wfpath = os.path.join(data_path, anomalous_dataset)\n", "\n", "dat, info = wfdbtools.rdsamp(wfpath, \n", " start=start,\n", " end=end\n", " )\n", "\n", "print info\n", "print dat.shape" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "{'samp_freq': 100.0, 'signal_count': 1, 'gains': [200.0], 'file_format': ['16'], 'samp_count': 2957000, 'first_values': [-12.0], 'zero_values': [0.0], 'signal_names': ['ECG'], 'units': ['mV']}\n", "(1500, 3)\n" ] } ], "prompt_number": 90 }, { "cell_type": "code", "collapsed": false, "input": [ "anomalous_ekg = dat[:, 2]\n", "\n", "# Plot to see the anomalous signal\n", "plt.figure(figsize=(16,3))\n", "plt.plot(anomalous_ekg)\n", "plt.title('{}, Start: {}'.format(fpath, start))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 91, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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3KWPHjsXYsWP9XQzGTfj6mRu+fuaFr5254etnXvjamRu+fubG1WPbHOHRmlh5hl6DBg3w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\n8eMUVdi82TqdWM/8+ST+fvyRjK6NG8k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YP/+QYScECcG9ex3/nn37qIGtW+dObeTPokXU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"text": [ "" ] } ], "prompt_number": 91 }, { "cell_type": "code", "collapsed": false, "input": [ "reconstruct_signal(anomalous_ekg, basis_dict, plot=True)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "n segments to use is: 91\n", "dictionary (basis set) size is: 200\n", "window size is: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 32\n", "Error: 0.0429759867909\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 92, "text": [ "array([ 0. , -0.01, -0.01, ..., 0. , 0. , 0. ])" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ywIp9pFKHFsvVznmqmEbD0udV0WrFY5AZX9djibqKMfBlH52O+5GzpFKHJhOz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\nii9tTH7F15ughA3iVTEIjA6FKNE1Xw3iNZGL5ZDI/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MUn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Yqv+PiySR5S0Mv2zcqie0fOMyoe/80MfJ09S+fi6EB2hV7zoRKUBr4c752OHZUp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+iOmvHF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\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qeFVQEUFUkCaWT+XaQBEr2FCxUkSkWQBFsAaVIkUBUUqUAEmAQALphSSzvz/eu50zM2dm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"text": [ "" ] } ], "prompt_number": 92 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wrapping up\n", "\n", "We should expect to see a larger error in reconstructing the anomalous EKG than when we reconstructed a normal signal. The more dramatic the difference, the better our model. We have a twofold goal: \n", " \n", " * Reduce error on normal signals\n", " * increase error on anomalous signals of interest\n", " \n", "Once our model is satisfactory, we could imagine creating an alarm that goes off when a signal has an error rate above some threshold. This would be our \"stopping condition\", as we discussed in previous sections. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Limitations and potential improvements\n", "\n", "Discuss limitations and potential improvements. \n", "\n", " - looking at specific types of known EKG anomalies. Training on these? \n", " - How is each heart different? Should we train on normal data from an individual heart? \n", " \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## More questions to explore: \n", "\n", " * How would you set your stopping condition in this type of application? How important is it to avoid false positives? false negatives? \n", " * How important is the detection delay? What is the effective delay in this system? \n", " * \n" ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Return to the Change Detection Tutorial [Table of Contents](https://github.com/amanahuja/change-detection-tutorial)" ] } ], "metadata": {} } ] }