{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove-input" ] }, "outputs": [], "source": [ "import matplotlib\n", "#matplotlib.use('Agg')\n", "path_data = 'https://raw.githubusercontent.com/ChemeketaCS/datasci-textbook/main/assets/data/'\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 implement 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": 2, "metadata": {}, "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)
" ], "text/plain": [ "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)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "banknotes = Table.read_table(path_data + 'banknote.csv')\n", "banknotes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at whether the first two numbers tell us anything about whether the banknote is counterfeit or not. Here's a scatterplot:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "color_table = Table().with_columns(\n", " 'Class', make_array(1, 0),\n", " 'Color', make_array('darkblue', 'gold')\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "banknotes = banknotes.join('Class', color_table)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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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 | \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)
" ], "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)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wine" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first two wines are both in Class 1. To find the distance between them, we first need a table of just the attributes:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "wine_attributes = wine.drop('Class')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "31.265012394048398" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "distance(np.array(wine_attributes.row(0)), np.array(wine_attributes.row(1)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The last wine in the table is of Class 0. Its distance from the first wine is:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "506.05936766351834" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "distance(np.array(wine_attributes.row(0)), np.array(wine_attributes.row(177)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's quite a bit bigger! Let's do some visualization to see if Class 1 really looks different from Class 0. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "wine_with_colors = wine.join('Class', color_table)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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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", "