{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove_input" ] }, "outputs": [], "source": [ "import matplotlib\n", "#matplotlib.use('Agg')\n", "path_data = '../../../../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. " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 1 }