{ "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": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
WaveletVar WaveletSkew WaveletCurt Entropy Class
3.6216 8.6661 -2.8073 -0.44699 0
4.5459 8.1674 -2.4586 -1.4621 0
3.866 -2.6383 1.9242 0.10645 0
3.4566 9.5228 -4.0112 -3.5944 0
0.32924 -4.4552 4.5718 -0.9888 0
4.3684 9.6718 -3.9606 -3.1625 0
3.5912 3.0129 0.72888 0.56421 0
2.0922 -6.81 8.4636 -0.60216 0
3.2032 5.7588 -0.75345 -0.61251 0
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "banknotes.scatter('WaveletVar', 'WaveletCurt', group='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": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "banknotes.scatter('WaveletSkew', 'Entropy', group='Color')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There does seem to be a pattern, but it's a pretty complex one. Nonetheless, the $k$-nearest neighbors classifier can still be used and will effectively \"discover\" patterns out of this. This illustrates how powerful machine learning can be: it can effectively take advantage of even patterns that we would not have anticipated, or that we would have thought to \"program into\" the computer." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multiple attributes\n", "\n", "So far I've been assuming that we have exactly 2 attributes that we can use to help us make our prediction. What if we have more than 2? For instance, what if we have 3 attributes?\n", "\n", "Here's the cool part: you can use the same ideas for this case, too. All you have to do is make a 3-dimensional scatterplot, instead of a 2-dimensional plot. You can still use the $k$-nearest neighbors classifier, but now computing distances in 3 dimensions instead of just 2. It just works. Very cool!\n", "\n", "In fact, there's nothing special about 2 or 3. If you have 4 attributes, you can use the $k$-nearest neighbors classifier in 4 dimensions. 5 attributes? Work in 5-dimensional space. And no need to stop there! This all works for arbitrarily many attributes; you just work in a very high dimensional space. It gets wicked-impossible to visualize, but that's OK. The computer algorithm generalizes very nicely: all you need is the ability to compute the distance, and that's not hard. Mind-blowing stuff!\n", "\n", "For instance, let's see what happens if we try to predict whether a banknote is counterfeit or not using 3 of the measurements, instead of just 2. Here's what you get:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.figure(figsize=(8,8)).add_subplot(111, projection='3d')\n", "ax.scatter(banknotes.column('WaveletSkew'), \n", " banknotes.column('WaveletVar'), \n", " banknotes.column('WaveletCurt'), \n", " c=banknotes.column('Color'));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Awesome! With just 2 attributes, there was some overlap between the two clusters (which means that the classifier was bound to make some mistakes for pointers in the overlap). But when we use these 3 attributes, the two clusters have almost no overlap. In other words, a classifier that uses these 3 attributes will be more accurate than one that only uses the 2 attributes.\n", "\n", "This is a general phenomenom in classification. Each attribute can potentially give you new information, so more attributes sometimes helps you build a better classifier. Of course, the cost is that now we have to gather more information to measure the value of each attribute, but this cost may be well worth it if it significantly improves the accuracy of our classifier.\n", "\n", "To sum up: you now know how to use $k$-nearest neighbor classification to predict the answer to a yes/no question, based on the values of some attributes, assuming you have a training set with examples where the correct prediction is known. The general roadmap is this:\n", "\n", "1. identify some attributes that you think might help you predict the answer to the question.\n", "2. Gather a training set of examples where you know the values of the attributes as well as the correct prediction.\n", "3. To make predictions in the future, measure the value of the attributes and then use $k$-nearest neighbor classification to predict the answer to the question." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Distance in Multiple Dimensions\n", "We know how to compute distance in 2-dimensional space. If we have a point at coordinates $(x_0,y_0)$ and another at $(x_1,y_1)$, the distance between them is\n", "\n", "$$D = \\sqrt{(x_0-x_1)^2 + (y_0-y_1)^2}.$$\n", "\n", "In 3-dimensional space, the points are $(x_0, y_0, z_0)$ and $(x_1, y_1, z_1)$, and the formula for the distance between them is\n", "\n", "$$\n", "D = \\sqrt{(x_0-x_1)^2 + (y_0-y_1)^2 + (z_0-z_1)^2}\n", "$$\n", "\n", "In $n$-dimensional space, things are a bit harder to visualize, but I think you can see how the formula generalized: we sum up the squares of the differences between each individual coordinate, and then take the square root of that. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the last section, we defined the function `distance` which returned the distance between two points. We used it in two-dimensions, but the great news is that the function doesn't care how many dimensions there are! It just subtracts the two arrays of coordinates (no matter how long the arrays are), squares the differences and adds up, and then takes the square root. To work in multiple dimensions, we don't have to change the code at all." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def distance(point1, point2):\n", " \"\"\"Returns the distance between point1 and point2\n", " where each argument is an array \n", " consisting of the coordinates of the point\"\"\"\n", " return np.sqrt(np.sum((point1 - point2)**2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use this on a [new dataset](https://archive.ics.uci.edu/ml/datasets/Wine). The table `wine` contains the chemical composition of 178 different Italian wines. The classes are the grape species, called cultivars. There are three classes but let's just see whether we can tell Class 1 apart from the other two." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "wine = Table.read_table(path_data + 'wine.csv')\n", "\n", "# For converting Class to binary\n", "\n", "def is_one(x):\n", " if x == 1:\n", " return 1\n", " else:\n", " return 0\n", " \n", "wine = wine.with_column('Class', wine.apply(is_one, 0))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Class Alcohol Malic Acid Ash Alcalinity of Ash Magnesium Total Phenols Flavanoids Nonflavanoid phenols Proanthocyanins Color Intensity Hue OD280/OD315 of diulted wines Proline
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
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
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
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
1 13.24 2.59 2.87 21 118 2.8 2.69 0.39 1.82 4.32 1.04 2.93 735
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
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
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
1 14.83 1.64 2.17 14 97 2.8 2.98 0.29 1.98 5.2 1.08 2.85 1045
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wine_with_colors.scatter('Flavanoids', 'Alcohol', group='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": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wine_with_colors.scatter('Alcalinity of Ash', 'Ash', group='Color')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But for some pairs the picture is more murky." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wine_with_colors.scatter('Magnesium', 'Total Phenols', group='Color')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see if we can implement a classifier based on all of the attributes. After that, we'll see how accurate it is." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A Plan for the Implementation\n", "It's time to write some code to implement the classifier. The input is a `point` that we want to classify. The classifier works by finding the $k$ nearest neighbors of `point` from the training set. So, our approach will go like this:\n", "\n", "1. Find the closest $k$ neighbors of `point`, i.e., the $k$ wines from the training set that are most similar to `point`.\n", "\n", "2. Look at the classes of those $k$ neighbors, and take the majority vote to find the most-common class of wine. Use that as our predicted class for `point`.\n", "\n", "So that will guide the structure of our Python code." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "def closest(training, p, k):\n", " ...\n", "\n", "def majority(topkclasses):\n", " ...\n", "\n", "def classify(training, p, k):\n", " kclosest = closest(training, p, k)\n", " kclosest.classes = kclosest.select('Class')\n", " return majority(kclosest)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation Step 1\n", "To implement the first step for the kidney disease data, we had to compute the distance from each patient in the training set to `point`, sort them by distance, and take the $k$ closest patients in the training set. \n", "\n", "That's what we did in the previous section with the point corresponding to Alice. Let's generalize that code. We'll redefine `distance` here, just for convenience." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "def distance(point1, point2):\n", " \"\"\"Returns the distance between point1 and point2\n", " where each argument is an array \n", " consisting of the coordinates of the point\"\"\"\n", " return np.sqrt(np.sum((point1 - point2)**2))\n", "\n", "def all_distances(training, new_point):\n", " \"\"\"Returns an array of distances\n", " between each point in the training set\n", " and the new point (which is a row of attributes)\"\"\"\n", " attributes = training.drop('Class')\n", " def distance_from_point(row):\n", " return distance(np.array(new_point), np.array(row))\n", " return attributes.apply(distance_from_point)\n", "\n", "def table_with_distances(training, new_point):\n", " \"\"\"Augments the training table \n", " with a column of distances from new_point\"\"\"\n", " return training.with_column('Distance', all_distances(training, new_point))\n", "\n", "def closest(training, new_point, k):\n", " \"\"\"Returns a table of the k rows of the augmented table\n", " corresponding to the k smallest distances\"\"\"\n", " with_dists = table_with_distances(training, new_point)\n", " sorted_by_distance = with_dists.sort('Distance')\n", " topk = sorted_by_distance.take(np.arange(k))\n", " return topk" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see how this works on our `wine` data. We'll just take the first wine and find its five nearest neighbors among all the wines. Remember that since this wine is part of the dataset, it is its own nearest neighbor. So we should expect to see it at the top of the list, followed by four others.\n", "\n", "First let's extract its attributes:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "special_wine = wine.drop('Class').row(0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now let's find its 5 nearest neighbors." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
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
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
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
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
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
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
" ], "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" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "closest(wine, special_wine, 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Bingo! The first row is the nearest neighbor, which is itself – there's a 0 in the `Distance` column as expected. All five nearest neighbors are of Class 1, which is consistent with our earlier observation that Class 1 wines appear to be clumped together in some dimensions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation Steps 2 and 3\n", "Next we need to take a \"majority vote\" of the nearest neighbors and assign our point the same class as the majority." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "def majority(topkclasses):\n", " ones = topkclasses.where('Class', are.equal_to(1)).num_rows\n", " zeros = topkclasses.where('Class', are.equal_to(0)).num_rows\n", " if ones > zeros:\n", " return 1\n", " else:\n", " return 0\n", "\n", "def classify(training, new_point, k):\n", " closestk = closest(training, new_point, k)\n", " topkclasses = closestk.select('Class')\n", " return majority(topkclasses)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "classify(wine, special_wine, 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we change `special_wine` to be the last one in the dataset, is our classifier able to tell that it's in Class 0?" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "special_wine = wine.drop('Class').row(177)\n", "classify(wine, special_wine, 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yes! The classifier gets this one right too.\n", "\n", "But we don't yet know how it does with all the other wines, and in any case we know that testing on wines that are already part of the training set might be over-optimistic. In the final section of this chapter, we will separate the wines into a training and test set and then measure the accuracy of our classifier on the test set. " ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.7.8" } }, "nbformat": 4, "nbformat_minor": 1 }