{ "cells": [ { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# HIDDEN\n", "import matplotlib\n", "#matplotlib.use('Agg')\n", "from datascience import *\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import numpy as np\n", "import math\n", "import scipy.stats as stats\n", "plt.style.use('fivethirtyeight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Implementing the Classifier ###\n", "We are now ready to impelment a $k$-nearest neighbor classifier based on multiple attributes. We have used only two attributes so far, for ease of visualization. But usually predictions will be based on many attributes. Here is an example that shows how multiple attributes can be better than pairs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Banknote authentication\n", "\n", "This time we'll look at predicting whether a banknote (e.g., a \\$20 bill) is counterfeit or legitimate. Researchers have put together a data set for us, based on photographs of many individual banknotes: some counterfeit, some legitimate. They computed a few numbers from each image, using techniques that we won't worry about for this course. So, for each banknote, we know a few numbers that were computed from a photograph of it as well as its class (whether it is counterfeit or not). Let's load it into a table and take a look." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
WaveletVar | WaveletSkew | WaveletCurt | Entropy | Class | \n", "
---|---|---|---|---|
3.6216 | 8.6661 | -2.8073 | -0.44699 | 0 | \n", "
4.5459 | 8.1674 | -2.4586 | -1.4621 | 0 | \n", "
3.866 | -2.6383 | 1.9242 | 0.10645 | 0 | \n", "
3.4566 | 9.5228 | -4.0112 | -3.5944 | 0 | \n", "
0.32924 | -4.4552 | 4.5718 | -0.9888 | 0 | \n", "
4.3684 | 9.6718 | -3.9606 | -3.1625 | 0 | \n", "
3.5912 | 3.0129 | 0.72888 | 0.56421 | 0 | \n", "
2.0922 | -6.81 | 8.4636 | -0.60216 | 0 | \n", "
3.2032 | 5.7588 | -0.75345 | -0.61251 | 0 | \n", "
1.5356 | 9.1772 | -2.2718 | -0.73535 | 0 | \n", "
... (1362 rows omitted)
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "banknotes.scatter('WaveletVar', 'WaveletCurt', colors='Color')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pretty interesting! Those two measurements do seem helpful for predicting whether the banknote is counterfeit or not. However, in this example you can now see that there is some overlap between the blue cluster and the gold cluster. This indicates that there will be some images where it's hard to tell whether the banknote is legitimate based on just these two numbers. Still, you could use a $k$-nearest neighbor classifier to predict the legitimacy of a banknote.\n", "\n", "Take a minute and think it through: Suppose we used $k=11$ (say). What parts of the plot would the classifier get right, and what parts would it make errors on? What would the decision boundary look like?\n", "\n", "The patterns that show up in the data can get pretty wild. For instance, here's what we'd get if used a different pair of measurements from the images:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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AUGLm5F285MReFs6vRAlnvuC+pXNwPUmo4mhs3v3uBZw4/yEShWtw3D/wta9v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Y3B4CYAA1NmyItlSaTCGNKfzv/q+GWAh3TXIr3loG0iiTsQOg1CEMo96ScYrZFqPYhom9SJjeGt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\n5XhxUXDVFg+Xo6r1NxM4duwYn376KYsXL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"text/plain": [ "Class | Alcohol | Malic Acid | Ash | Alcalinity of Ash | Magnesium | Total Phenols | Flavanoids | Nonflavanoid phenols | Proanthocyanins | Color Intensity | Hue | OD280/OD315 of diulted wines | Proline | \n", "
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 14.23 | 1.71 | 2.43 | 15.6 | 127 | 2.8 | 3.06 | 0.28 | 2.29 | 5.64 | 1.04 | 3.92 | 1065 | \n", "
1 | 13.2 | 1.78 | 2.14 | 11.2 | 100 | 2.65 | 2.76 | 0.26 | 1.28 | 4.38 | 1.05 | 3.4 | 1050 | \n", "
1 | 13.16 | 2.36 | 2.67 | 18.6 | 101 | 2.8 | 3.24 | 0.3 | 2.81 | 5.68 | 1.03 | 3.17 | 1185 | \n", "
1 | 14.37 | 1.95 | 2.5 | 16.8 | 113 | 3.85 | 3.49 | 0.24 | 2.18 | 7.8 | 0.86 | 3.45 | 1480 | \n", "
1 | 13.24 | 2.59 | 2.87 | 21 | 118 | 2.8 | 2.69 | 0.39 | 1.82 | 4.32 | 1.04 | 2.93 | 735 | \n", "
1 | 14.2 | 1.76 | 2.45 | 15.2 | 112 | 3.27 | 3.39 | 0.34 | 1.97 | 6.75 | 1.05 | 2.85 | 1450 | \n", "
1 | 14.39 | 1.87 | 2.45 | 14.6 | 96 | 2.5 | 2.52 | 0.3 | 1.98 | 5.25 | 1.02 | 3.58 | 1290 | \n", "
1 | 14.06 | 2.15 | 2.61 | 17.6 | 121 | 2.6 | 2.51 | 0.31 | 1.25 | 5.05 | 1.06 | 3.58 | 1295 | \n", "
1 | 14.83 | 1.64 | 2.17 | 14 | 97 | 2.8 | 2.98 | 0.29 | 1.98 | 5.2 | 1.08 | 2.85 | 1045 | \n", "
1 | 13.86 | 1.35 | 2.27 | 16 | 98 | 2.98 | 3.15 | 0.22 | 1.85 | 7.22 | 1.01 | 3.55 | 1045 | \n", "
... (168 rows omitted)
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wine_with_colors.scatter('Flavanoids', 'Alcohol', colors='Color')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The blue points (Class 1) are almost entirely separate from the gold ones. That is one indication of why the distance between two Class 1 wines would be smaller than the distance between wines of two different classes. We can see a similar phenomenon with a different pair of attributes too:" ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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UhKpCqDhm6mPMRNN/94W/ZYdyyzbCa95sJu3A1qrTOf/whz/w2Wef8d577+20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\n", "text/plain": [ "Class | Alcohol | Malic Acid | Ash | Alcalinity of Ash | Magnesium | Total Phenols | Flavanoids | Nonflavanoid phenols | Proanthocyanins | Color Intensity | Hue | OD280/OD315 of diulted wines | Proline | Distance | \n", "
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 14.23 | 1.71 | 2.43 | 15.6 | 127 | 2.8 | 3.06 | 0.28 | 2.29 | 5.64 | 1.04 | 3.92 | 1065 | 0 | \n", "
1 | 13.74 | 1.67 | 2.25 | 16.4 | 118 | 2.6 | 2.9 | 0.21 | 1.62 | 5.85 | 0.92 | 3.2 | 1060 | 10.3928 | \n", "
1 | 14.21 | 4.04 | 2.44 | 18.9 | 111 | 2.85 | 2.65 | 0.3 | 1.25 | 5.24 | 0.87 | 3.33 | 1080 | 22.3407 | \n", "
1 | 14.1 | 2.02 | 2.4 | 18.8 | 103 | 2.75 | 2.92 | 0.32 | 2.38 | 6.2 | 1.07 | 2.75 | 1060 | 24.7602 | \n", "
1 | 14.38 | 3.59 | 2.28 | 16 | 102 | 3.25 | 3.17 | 0.27 | 2.19 | 4.9 | 1.04 | 3.44 | 1065 | 25.0947 | \n", "