{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove-input" ] }, "outputs": [], "source": [ "import matplotlib\n", "#matplotlib.use('Agg')\n", "path_data = '../../../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": [ "# Nearest Neighbors\n", "In this section we'll develop the *nearest neighbor* method of classification. Just focus on the ideas for now and don't worry if some of the code is mysterious. Later in the chapter we'll see how to organize our ideas into code that performs the classification." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [ "remove-input" ] }, "outputs": [], "source": [ "def standard_units(x):\n", " return (x - np.mean(x))/np.std(x)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [ "remove-input" ] }, "outputs": [], "source": [ "def distance(point1, point2):\n", " \"\"\"The distance between two arrays of numbers.\"\"\"\n", " return np.sqrt(np.sum((point1 - point2)**2))\n", "\n", "def all_distances(training, point):\n", " \"\"\"The distance between p (an array of numbers) and the numbers in row i of attribute_table.\"\"\"\n", " attributes = training.drop('Class')\n", " def distance_from_point(row):\n", " return distance(point, np.array(row))\n", " return attributes.apply(distance_from_point)\n", "\n", "def table_with_distances(training, point):\n", " \"\"\"A copy of the training table with the distance from each row to array p.\"\"\"\n", " return training.with_column('Distance', all_distances(training, point))\n", "\n", "def closest(training, point, k):\n", " \"\"\"A table containing the k closest rows in the training table to array p.\"\"\"\n", " with_dists = table_with_distances(training, point)\n", " sorted_by_distance = with_dists.sort('Distance')\n", " topk = sorted_by_distance.take(np.arange(k))\n", " return topk\n", "\n", "def majority(topkclasses):\n", " \"\"\"1 if the majority of the \"Class\" column is 1s, and 0 otherwise.\"\"\"\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, p, k):\n", " \"\"\"Classify an example with attributes p using k-nearest neighbor classification with the given training table.\"\"\"\n", " closestk = closest(training, p, k)\n", " topkclasses = closestk.select('Class')\n", " return majority(topkclasses)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Chronic kidney disease\n", "\n", "Let's work through an example. We're going to work with a data set that was collected to help doctors diagnose chronic kidney disease (CKD). Each row in the data set represents a single patient who was treated in the past and whose diagnosis is known. For each patient, we have a bunch of measurements from a blood test. We'd like to find which measurements are most useful for diagnosing CKD, and develop a way to classify future patients as \"has CKD\" or \"doesn't have CKD\" based on their blood test results." ] }, { "cell_type": "code", "execution_count": 4, "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", "
Age Blood Pressure Specific Gravity Albumin Sugar Red Blood Cells Pus Cell Pus Cell clumps Bacteria Glucose Blood Urea Serum Creatinine Sodium Potassium Hemoglobin Packed Cell Volume White Blood Cell Count Red Blood Cell Count Hypertension Diabetes Mellitus Coronary Artery Disease Appetite Pedal Edema Anemia Class
48 70 1.005 4 0 normal abnormal present notpresent 117 56 3.8 111 2.5 11.2 32 6700 3.9 yes no no poor yes yes 1
53 90 1.02 2 0 abnormal abnormal present notpresent 70 107 7.2 114 3.7 9.5 29 12100 3.7 yes yes no poor no yes 1
63 70 1.01 3 0 abnormal abnormal present notpresent 380 60 2.7 131 4.2 10.8 32 4500 3.8 yes yes no poor yes no 1
68 80 1.01 3 2 normal abnormal present present 157 90 4.1 130 6.4 5.6 16 11000 2.6 yes yes yes poor yes no 1
61 80 1.015 2 0 abnormal abnormal notpresent notpresent 173 148 3.9 135 5.2 7.7 24 9200 3.2 yes yes yes poor yes yes 1
48 80 1.025 4 0 normal abnormal notpresent notpresent 95 163 7.7 136 3.8 9.8 32 6900 3.4 yes no no good no yes 1
69 70 1.01 3 4 normal abnormal notpresent notpresent 264 87 2.7 130 4 12.5 37 9600 4.1 yes yes yes good yes no 1
73 70 1.005 0 0 normal normal notpresent notpresent 70 32 0.9 125 4 10 29 18900 3.5 yes yes no good yes no 1
73 80 1.02 2 0 abnormal abnormal notpresent notpresent 253 142 4.6 138 5.8 10.5 33 7200 4.3 yes yes yes good no no 1
46 60 1.01 1 0 normal normal notpresent notpresent 163 92 3.3 141 4 9.8 28 14600 3.2 yes yes no good no no 1
\n", "

... (148 rows omitted)

" ], "text/plain": [ "Age | Blood Pressure | Specific Gravity | Albumin | Sugar | Red Blood Cells | Pus Cell | Pus Cell clumps | Bacteria | Glucose | Blood Urea | Serum Creatinine | Sodium | Potassium | Hemoglobin | Packed Cell Volume | White Blood Cell Count | Red Blood Cell Count | Hypertension | Diabetes Mellitus | Coronary Artery Disease | Appetite | Pedal Edema | Anemia | Class\n", "48 | 70 | 1.005 | 4 | 0 | normal | abnormal | present | notpresent | 117 | 56 | 3.8 | 111 | 2.5 | 11.2 | 32 | 6700 | 3.9 | yes | no | no | poor | yes | yes | 1\n", "53 | 90 | 1.02 | 2 | 0 | abnormal | abnormal | present | notpresent | 70 | 107 | 7.2 | 114 | 3.7 | 9.5 | 29 | 12100 | 3.7 | yes | yes | no | poor | no | yes | 1\n", "63 | 70 | 1.01 | 3 | 0 | abnormal | abnormal | present | notpresent | 380 | 60 | 2.7 | 131 | 4.2 | 10.8 | 32 | 4500 | 3.8 | yes | yes | no | poor | yes | no | 1\n", "68 | 80 | 1.01 | 3 | 2 | normal | abnormal | present | present | 157 | 90 | 4.1 | 130 | 6.4 | 5.6 | 16 | 11000 | 2.6 | yes | yes | yes | poor | yes | no | 1\n", "61 | 80 | 1.015 | 2 | 0 | abnormal | abnormal | notpresent | notpresent | 173 | 148 | 3.9 | 135 | 5.2 | 7.7 | 24 | 9200 | 3.2 | yes | yes | yes | poor | yes | yes | 1\n", "48 | 80 | 1.025 | 4 | 0 | normal | abnormal | notpresent | notpresent | 95 | 163 | 7.7 | 136 | 3.8 | 9.8 | 32 | 6900 | 3.4 | yes | no | no | good | no | yes | 1\n", "69 | 70 | 1.01 | 3 | 4 | normal | abnormal | notpresent | notpresent | 264 | 87 | 2.7 | 130 | 4 | 12.5 | 37 | 9600 | 4.1 | yes | yes | yes | good | yes | no | 1\n", "73 | 70 | 1.005 | 0 | 0 | normal | normal | notpresent | notpresent | 70 | 32 | 0.9 | 125 | 4 | 10 | 29 | 18900 | 3.5 | yes | yes | no | good | yes | no | 1\n", "73 | 80 | 1.02 | 2 | 0 | abnormal | abnormal | notpresent | notpresent | 253 | 142 | 4.6 | 138 | 5.8 | 10.5 | 33 | 7200 | 4.3 | yes | yes | yes | good | no | no | 1\n", "46 | 60 | 1.01 | 1 | 0 | normal | normal | notpresent | notpresent | 163 | 92 | 3.3 | 141 | 4 | 9.8 | 28 | 14600 | 3.2 | yes | yes | no | good | no | no | 1\n", "... (148 rows omitted)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ckd = Table.read_table(path_data + 'ckd.csv').relabeled('Blood Glucose Random', 'Glucose')\n", "ckd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some of the variables are categorical (words like \"abnormal\"), and some quantitative. The quantitative variables all have different scales. We're going to want to make comparisons and estimate distances, often by eye, so let's select just a few of the variables and work in standard units. Then we won't have to worry about the scale of each of the different variables." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "ckd = Table().with_columns(\n", " 'Hemoglobin', standard_units(ckd.column('Hemoglobin')),\n", " 'Glucose', standard_units(ckd.column('Glucose')),\n", " 'White Blood Cell Count', standard_units(ckd.column('White Blood Cell Count')),\n", " 'Class', ckd.column('Class')\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "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", "
Hemoglobin Glucose White Blood Cell Count Class
-0.865744 -0.221549 -0.569768 1
-1.45745 -0.947597 1.16268 1
-1.00497 3.84123 -1.27558 1
-2.81488 0.396364 0.809777 1
-2.08395 0.643529 0.232293 1
-1.35303 -0.561402 -0.505603 1
-0.413266 2.04928 0.360623 1
-1.28342 -0.947597 3.34429 1
-1.10939 1.87936 -0.409356 1
-1.35303 0.489051 1.96475 1
\n", "

... (148 rows omitted)

" ], "text/plain": [ "Hemoglobin | Glucose | White Blood Cell Count | Class\n", "-0.865744 | -0.221549 | -0.569768 | 1\n", "-1.45745 | -0.947597 | 1.16268 | 1\n", "-1.00497 | 3.84123 | -1.27558 | 1\n", "-2.81488 | 0.396364 | 0.809777 | 1\n", "-2.08395 | 0.643529 | 0.232293 | 1\n", "-1.35303 | -0.561402 | -0.505603 | 1\n", "-0.413266 | 2.04928 | 0.360623 | 1\n", "-1.28342 | -0.947597 | 3.34429 | 1\n", "-1.10939 | 1.87936 | -0.409356 | 1\n", "-1.35303 | 0.489051 | 1.96475 | 1\n", "... (148 rows omitted)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ckd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at two columns in particular: the hemoglobin level (in the patient's blood), and the blood glucose level (at a random time in the day; without fasting specially for the blood test). \n", "\n", "We'll draw a scatter plot to visualize the relation between the two variables. Blue dots are patients with CKD; gold dots are patients without CKD. What kind of medical test results seem to indicate CKD?" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "color_table = Table().with_columns(\n", " 'Class', make_array(1, 0),\n", " 'Color', make_array('darkblue', 'gold')\n", ")\n", "ckd = ckd.join('Class', color_table)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ckd.scatter('Hemoglobin', 'Glucose', group='Color')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose Alice is a new patient who is not in the data set. If I tell you Alice's hemoglobin level and blood glucose level, could you predict whether she has CKD? It sure looks like it! You can see a very clear pattern here: points in the lower-right tend to represent people who don't have CKD, and the rest tend to be folks with CKD. To a human, the pattern is obvious. But how can we program a computer to automatically detect patterns such as this one?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A Nearest Neighbor Classifier\n", "\n", "There are lots of kinds of patterns one might look for, and lots of algorithms for classification. But I'm going to tell you about one that turns out to be surprisingly effective. It is called *nearest neighbor classification*. Here's the idea. If we have Alice's hemoglobin and glucose numbers, we can put her somewhere on this scatterplot; the hemoglobin is her x-coordinate, and the glucose is her y-coordinate. Now, to predict whether she has CKD or not, we find the nearest point in the scatterplot and check whether it is blue or gold; we predict that Alice should receive the same diagnosis as that patient.\n", "\n", "In other words, to classify Alice as CKD or not, we find the patient in the training set who is \"nearest\" to Alice, and then use that patient's diagnosis as our prediction for Alice. The intuition is that if two points are near each other in the scatterplot, then the corresponding measurements are pretty similar, so we might expect them to receive the same diagnosis (more likely than not). We don't know Alice's diagnosis, but we do know the diagnosis of all the patients in the training set, so we find the patient in the training set who is most similar to Alice, and use that patient's diagnosis to predict Alice's diagnosis." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the graph below, the red dot represents Alice. It is joined with a black line to the point that is nearest to it – its *nearest neighbor* in the training set. The figure is drawn by a function called `show_closest`. It takes an array that represents the $x$ and $y$ coordinates of Alice's point. Vary those to see how the closest point changes! Note especially when the closest point is blue and when it is gold." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "tags": [ "remove-input" ] }, "outputs": [], "source": [ "def show_closest(point):\n", " \"\"\"point = array([x,y]) \n", " gives the coordinates of a new point\n", " shown in red\"\"\"\n", " \n", " HemoGl = ckd.drop('White Blood Cell Count', 'Color')\n", " t = closest(HemoGl, point, 1)\n", " x_closest = t.row(0).item(1)\n", " y_closest = t.row(0).item(2)\n", " ckd.scatter('Hemoglobin', 'Glucose', group='Color')\n", " plt.scatter(point.item(0), point.item(1), color='red', s=30)\n", " plt.plot(make_array(point.item(0), x_closest), make_array(point.item(1), y_closest), color='k', lw=2);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# In this example, Alice's Hemoglobin attribute is 0 and her Glucose is 1.5.\n", "alice = make_array(0, 1.5)\n", "show_closest(alice)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thus our *nearest neighbor classifier* works like this:\n", "- Find the point in the training set that is nearest to the new point.\n", "- If that nearest point is a \"CKD\" point, classify the new point as \"CKD\". If the nearest point is a \"not CKD\" point, classify the new point as \"not CKD\".\n", "\n", "The scatterplot suggests that this nearest neighbor classifier should be pretty accurate. Points in the lower-right will tend to receive a \"no CKD\" diagnosis, as their nearest neighbor will be a gold point. The rest of the points will tend to receive a \"CKD\" diagnosis, as their nearest neighbor will be a blue point. So the nearest neighbor strategy seems to capture our intuition pretty well, for this example." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Decision boundary\n", "\n", "Sometimes a helpful way to visualize a classifier is to map out the kinds of attributes where the classifier would predict 'CKD', and the kinds where it would predict 'not CKD'. We end up with some boundary between the two, where points on one side of the boundary will be classified 'CKD' and points on the other side will be classified 'not CKD'. This boundary is called the *decision boundary*. Each different classifier will have a different decision boundary; the decision boundary is just a way to visualize what criteria the classifier is using to classify points.\n", "\n", "For example, suppose the coordinates of Alice's point are (0, 1.5). Notice that the nearest neighbor is blue. Now try reducing the height (the $y$-coordinate) of the point. You'll see that at around $y = 0.95$ the nearest neighbor turns from blue to gold." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alice = make_array(0, 0.97)\n", "show_closest(alice)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are hundreds of new unclassified points, all in red." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "tags": [ "remove-input" ] }, "outputs": [], "source": [ "x_array = make_array()\n", "y_array = make_array()\n", "for x in np.arange(-2, 2.1, 0.1):\n", " for y in np.arange(-2, 2.1, 0.1):\n", " x_array = np.append(x_array, x)\n", " y_array = np.append(y_array, y)\n", " \n", "test_grid = Table().with_columns(\n", " 'Hemoglobin', x_array,\n", " 'Glucose', y_array\n", ")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_grid.scatter('Hemoglobin', 'Glucose', color='red', alpha=0.4, s=30)\n", "\n", "plt.scatter(ckd.column('Hemoglobin'), ckd.column('Glucose'), c=ckd.column('Color'), edgecolor='k')\n", "\n", "plt.xlim(-2, 2)\n", "plt.ylim(-2, 2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each of the red points has a nearest neighbor in the training set (the same blue and gold points as before). For some red points you can easily tell whether the nearest neighbor is blue or gold. For others, it's a little more tricky to make the decision by eye. Those are the points near the decision boundary.\n", "\n", "But the computer can easily determine the nearest neighbor of each point. So let's get it to apply our nearest neighbor classifier to each of the red points: \n", "\n", "For each red point, it must find the closest point in the training set; it must then change the color of the red point to become the color of the nearest neighbor. \n", "\n", "The resulting graph shows which points will get classified as 'CKD' (all the blue ones), and which as 'not CKD' (all the gold ones)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "tags": [ "remove-input" ] }, "outputs": [], "source": [ "def classify_grid(training, test, k):\n", " c = make_array()\n", " for i in range(test.num_rows):\n", " # Run the classifier on the ith patient in the test set\n", " c = np.append(c, classify(training, make_array(test.row(i)), k)) \n", " return c" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "tags": [ "remove-input" ] }, "outputs": [], "source": [ "c = classify_grid(ckd.drop('White Blood Cell Count', 'Color'), test_grid, 1)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_grid = test_grid.with_column('Class', c).join('Class', color_table)\n", "test_grid.scatter('Hemoglobin', 'Glucose', group='Color', alpha=0.4, s=30)\n", "\n", "plt.scatter(ckd.column('Hemoglobin'), ckd.column('Glucose'), c=ckd.column('Color'), edgecolor='k')\n", "\n", "plt.xlim(-2, 2)\n", "plt.ylim(-2, 2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The decision boundary is where the classifier switches from turning the red points blue to turning them gold." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## k-Nearest Neighbors\n", "\n", "However, the separation between the two classes won't always be quite so clean. For instance, suppose that instead of hemoglobin levels we were to look at white blood cell count. Look at what happens:" ] }, { "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": [ "ckd.scatter('White Blood Cell Count', 'Glucose', group='Color')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, non-CKD individuals are all clustered in the lower-left. Most of the patients with CKD are above or to the right of that cluster... but not all. There are some patients with CKD who are in the lower left of the above figure (as indicated by the handful of blue dots scattered among the gold cluster). What this means is that you can't tell for certain whether someone has CKD from just these two blood test measurements.\n", "\n", "If we are given Alice's glucose level and white blood cell count, can we predict whether she has CKD? Yes, we can make a prediction, but we shouldn't expect it to be 100% accurate. Intuitively, it seems like there's a natural strategy for predicting: plot where Alice lands in the scatter plot; if she is in the lower-left, predict that she doesn't have CKD, otherwise predict she has CKD. \n", "\n", "This isn't perfect -- our predictions will sometimes be wrong. (Take a minute and think it through: for which patients will it make a mistake?) As the scatterplot above indicates, sometimes people with CKD have glucose and white blood cell levels that look identical to those of someone without CKD, so any classifier is inevitably going to make the wrong prediction for them.\n", "\n", "Can we automate this on a computer? Well, the nearest neighbor classifier would be a reasonable choice here too. Take a minute and think it through: how will its predictions compare to those from the intuitive strategy above? When will they differ?\n", "\n", "Its predictions will be pretty similar to our intuitive strategy, but occasionally it will make a different prediction. In particular, if Alice's blood test results happen to put her right near one of the blue dots in the lower-left, the intuitive strategy would predict 'not CKD', whereas the nearest neighbor classifier will predict 'CKD'.\n", "\n", "There is a simple generalization of the nearest neighbor classifier that fixes this anomaly. It is called the *k-nearest neighbor classifier*. To predict Alice's diagnosis, rather than looking at just the one neighbor closest to her, we can look at the 3 points that are closest to her, and use the diagnosis for each of those 3 points to predict Alice's diagnosis. In particular, we'll use the majority value among those 3 diagnoses as our prediction for Alice's diagnosis. Of course, there's nothing special about the number 3: we could use 4, or 5, or more. (It's often convenient to pick an odd number, so that we don't have to deal with ties.) In general, we pick a number $k$, and our predicted diagnosis for Alice is based on the $k$ patients in the training set who are closest to Alice. Intuitively, these are the $k$ patients whose blood test results were most similar to Alice, so it seems reasonable to use their diagnoses to predict Alice's diagnosis.\n", "\n", "The $k$-nearest neighbor classifier will now behave just like our intuitive strategy above." ] } ], "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 }