{ "cells": [ { "cell_type": "markdown", "id": "c0a59dc9-bbf7-428d-8d1b-468a396af4da", "metadata": {}, "source": [ "# Clustering\n", "\n", "Until now we have exclusively looked at supervised methods: to create a model we always had a dataset containing features and a **target** to predict. The goal in those methods was then to be able to do a **prediction** i.e. given a set of new features, predict a variable (continuous like in regression or categorical like in classification). In clustering, **we don't have the target** in our dataset. We rather try to identify sub-groups or clusters in our dataset. In scikit-learn terms, when we use supervised learning we always have features ```X``` and targets ```y``` and when we do clustering, we only have the features ```X```." ] }, { "cell_type": "markdown", "id": "95aba150-497a-4b2d-87d3-3c0dcc088f1f", "metadata": {}, "source": [ "## Clustering methods\n", "\n", "There are many algorithms to do clustering, but generally the idea is to find sub-groups in our dataset where data points are close together according to some metric. We'll fist look at some artificial data to get the idea. For this we use a scikit-learn function that creates blobs of data:" ] }, { "cell_type": "code", "execution_count": 1, "id": "05020310-6a4f-44a6-89c3-b1ce69792d14", "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import make_blobs\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 5, "id": "5c273b0b-06c9-4b1d-b5a1-d3d5b965b8e8", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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feature1feature2label
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" ], "text/plain": [ " feature1 feature2 label\n", "0 -2.978672 9.556846 0\n", "1 3.161357 1.253325 1\n", "2 3.488885 2.348868 1\n", "3 4.038172 3.825448 1\n", "4 -1.043549 8.788510 0" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "blobs, labels = make_blobs(n_samples=30, n_features=2, centers=3, random_state=42)\n", "\n", "blobs = pd.DataFrame(blobs, columns=['feature1', 'feature2'])\n", "blobs['label'] = labels\n", "\n", "blobs.head(5)" ] }, { "cell_type": "markdown", "id": "4351dc4f-6a79-4fc9-aaba-69a0156e9bb1", "metadata": {}, "source": [ "We generated here a dataframe containing two features and a label. Again, in a real case, **we would not have those labels when performing clusterin**. We only use them here as a control. We can plot these data in a scatterplot as they are 2D:" ] }, { "cell_type": "code", "execution_count": 6, "id": "f33b3186-14b1-4f9b-8915-e7ef02724fc3", "metadata": {}, "outputs": [], "source": [ "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 8, "id": "bca65779-bdba-4bc9-8e19-e2b2992ee211", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.scatterplot(data=blobs, x='feature1', y='feature2');" ] }, { "cell_type": "markdown", "id": "0bf045bf-9456-4bd6-b069-fe4eefa6ab34", "metadata": {}, "source": [ "## K-means clustering\n", "\n", "By eye we clearly see that we have three blobs. Now we can use one of the clustering methods to actually let the computer discover those blobs. We look here first at K-means clustering as it is easy to understand. For this method, one uses the following procedure:\n", "1. decide in advance how many clusters are supposed to exist in the dataset, in this case 3. \n", "2. Randomly place three cluster centers (we do it manually here):" ] }, { "cell_type": "code", "execution_count": 9, "id": "7a26b833-6a3a-4b74-8e34-cfc03b92ba04", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cluster_centers = np.array([[-1, -10], [-4, 0], [-1.5,-2]])\n", "\n", "sns.scatterplot(data=blobs, x='feature1', y='feature2')\n", "plt.plot(cluster_centers[:,0], cluster_centers[:,1], 'ro');" ] }, { "cell_type": "markdown", "id": "bfe0a29c-1a23-4143-85b1-2cb6f2cd2ab0", "metadata": {}, "source": [ "3. We compute the distance of each of our data points with the three cluster centers and assign the points to the closest one. Below you can see for each point it's distance to the three cluster." ] }, { "cell_type": "code", "execution_count": 10, "id": "4b9fcf22-09ce-403b-b4eb-a30a0605cbb1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[19.6566878 , 9.61126525, 11.65105851],\n", " [11.99809256, 7.27020334, 5.68439744],\n", " [13.13943014, 7.84860382, 6.61827972],\n", " [14.71482885, 8.90203708, 8.03786007],\n", " [18.7885603 , 9.27245967, 10.79816151],\n", " [19.49237889, 9.34077047, 11.50757449],\n", " [13.71761979, 9.62041609, 8.0304938 ],\n", " [ 7.5925231 , 6.71301412, 6.9802535 ],\n", " [17.14789455, 7.30936098, 9.13328846],\n", " [ 5.69986291, 9.0075179 , 8.33623562],\n", " [12.91333604, 8.68667435, 7.05516991],\n", " [ 6.19219153, 7.70154622, 7.29936728],\n", " [12.72206042, 8.21320543, 6.65104852],\n", " [11.59646332, 8.84875273, 6.66038369],\n", " [19.23514494, 9.17415633, 11.23315988],\n", " [12.91124887, 7.62691849, 6.36722431],\n", " [ 6.31832042, 6.22944591, 5.87399496],\n", " [17.64851993, 7.74786941, 9.63566185],\n", " [17.76718172, 7.62428799, 9.79151702],\n", " [ 7.5440657 , 7.20710054, 7.40954189],\n", " [ 7.2830478 , 8.09420511, 8.09957357],\n", " [ 7.00314713, 7.82346678, 7.745164 ],\n", " [ 6.76101028, 5.8979694 , 5.76854155],\n", " [12.28020398, 8.67482129, 6.78472191],\n", " [12.54493666, 9.49228411, 7.48669774],\n", " [18.73327935, 8.45524041, 10.80368743],\n", " [ 7.24598004, 9.0063743 , 8.88759382],\n", " [19.78184476, 10.25217324, 11.79550184],\n", " [18.65315402, 8.61007174, 10.65085149],\n", " [ 6.89615347, 6.43102164, 6.38213133]])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "distances = np.stack([np.linalg.norm(blobs[['feature1', 'feature2']].values - cluster_centers[i], axis=1) for i in range(3)], axis=1)\n", "distances" ] }, { "cell_type": "markdown", "id": "04e45ddd-e19f-4c03-8dad-c6c440f35be1", "metadata": {}, "source": [ "and here we compute in which of the thre column we find the minimum distance:" ] }, { "cell_type": "code", "execution_count": 11, "id": "5a0c3493-bca9-4f5b-9721-5a7095ea1285", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0,\n", " 2, 2, 2, 1, 0, 1, 1, 2])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "min_dist = np.argmin(distances, axis=1)\n", "min_dist" ] }, { "cell_type": "markdown", "id": "0e1b9f6e-1e3a-4be0-bf50-10a02cc50e79", "metadata": {}, "source": [ "So now we can assign these labels to our data:" ] }, { "cell_type": "code", "execution_count": 12, "id": "45527e21-8137-4cd3-ab52-3249b3426437", "metadata": {}, "outputs": [], "source": [ "blobs['cluster_label'] = min_dist" ] }, { "cell_type": "markdown", "id": "ac963948-92c8-4e99-9d76-e94ef53660a8", "metadata": {}, "source": [ "On the left we have the actual labels and on the right the ones obtained by clustering:" ] }, { "cell_type": "code", "execution_count": 13, "id": "aba8147b-9756-4a01-b52c-df4d195973f7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2, figsize=(10,5))\n", "sns.scatterplot(data=blobs, x='feature1', y='feature2', hue='label', ax=ax[0])\n", "sns.scatterplot(data=blobs, x='feature1', y='feature2', hue='cluster_label', ax=ax[1]);" ] }, { "cell_type": "markdown", "id": "b16097c5-a5d0-4f0e-9a91-270fdff2792a", "metadata": {}, "source": [ "4. We see that in the lower left cluster, some points are mis-assigned. Now we compute the mean position of the clusters and use that now as our ```cluster_centers```:" ] }, { "cell_type": "code", "execution_count": 14, "id": "8a1ff66e-3115-4fff-add4-c13a66034509", "metadata": {}, "outputs": [], "source": [ "cluster_centers = np.stack([blobs[blobs.cluster_label == i][['feature1', 'feature2']].mean().values for i in range(3)], axis=0)" ] }, { "cell_type": "code", "execution_count": 15, "id": "2f09f119-6294-40a4-916b-9c3c57f6aa86", "metadata": {}, "outputs": [ { "data": { "image/png": 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uMgAAQoyz2t0oCElSwZ4Kzc3fIWe126TKQhNhCACAEFNR5W4UhBoU7KlQRRVhyBeEIQAAQozraG2LxytbOQ5vhCEAAEJMfJfIFo/HtXIc3ghDAACEGEdslLIyHE0ey8pwyBHLjDJfEIYAAAgx9q5RemDiwEaBKCvDoQcnDmR6vY+YWg8AQAhK7h6jhddmqqLKrcqjtYrrEilHLOsMnQzCEAAAIcrelfDTEegmAwAAlkYYAgAAlkYYAgAAlkYYAgAAlkYYAgAAlkYYAgAAlkYYAgAAlkYYAgAAlkYYAgAAlkYYAgAAlkYYAgAAlkYYAgAAlkYYAgAAlkYYAgAAlhYyYSg3N1c/+MEPFBcXp4SEBF155ZXavXt3i9esX79eNput0evTTz8NUNUAACDYhUwY2rBhg2699Va9//77WrdunY4dO6bRo0frm2++afXa3bt3q6yszPPKyMgIQMUAACAUdDa7gLZ64403vLbz8vKUkJCgbdu2KSsrq8VrExIS1L17dz9WBwBA2zir3aqocst1tFbxMZFydIuSvWuU2WVZWsiEoe9zOp2SpB49erR6bmZmpo4ePaqzzjpLd911l0aNGtXsuTU1NaqpqfFsu1yu9hcLAICk0iPf6o78Hdq4p8KzLyvDoQcmDlRy9xgTK7O2kOkm+y7DMDR79mxdeOGFOuecc5o9LykpSYsXL1Z+fr5WrVqlM844QxdffLEKCgqavSY3N1d2u93zSklJ8cdXAABYjLPa3SgISVLBngrNzd8hZ7XbpMpgMwzDMLsIX91666167bXXtGnTJvXt29ena6+44grZbDatWbOmyeNNtQylpKTI6XQqPj6+XXUDAKxr78EqXfzohmaP/3N2tvonxAawovDmcrlkt9vb9Psdct1kt912m9asWaOCggKfg5AkDR06VMuWLWv2eHR0tKKjo9tTIgAAjcYG1RmGukZFqNpd1+T5lUdrA1yhOYJxzFTIhCHDMHTbbbdp9erVWr9+vdLT00/qfYqKipSUlNTB1QEAcEJTY4NGZDj0xLWZuv2loiYDUVyXyECWaIpgHTMVMmHo1ltv1Ysvvqi///3viouLU3l5uSTJbrcrJub4DZw3b54OHDigpUuXSpIWLFigtLQ0nX322XK73Vq2bJny8/OVn59v2vcAAIS35sYGbdxTIcMw9MsL0/XkO595HcvKcMgRG94zylobM7Xw2kzTWohCZgD1okWL5HQ6NXLkSCUlJXleK1as8JxTVlamkpISz7bb7VZOTo4GDhyoESNGaNOmTXrttdc0YcIEM74CAMACKqrcjX7wG2z67JCG9+vptS8rw6EHJw40vavI31q6LwV7KlRRZd4A8pBpGWrLOO/nn3/ea3vOnDmaM2eOnyoCAKAxVytjf7pERuifs7NVebRWcV0i5Yg1f8xMILR2X8wcMxUyYQgAgFAQ38rYH3tMpCVnjbV2X8wcMxUy3WQAAIQCR2yUsjIcTR6zwtig5gTzffEpDL322mv61a9+pTlz5jR62Onhw4d10UUXdWhxAACEGnvXKD0wcWCjH36rjA1qTjDflzYvuvjiiy9q0qRJGjt2rJxOp7Zu3aolS5boF7/4hSTpv//9r5KTk1VX1/T6CaHKl0WbAABo0LCejtXGBrUmUPfFL4suPvzww3rsscd02223SZJefvll3XTTTTp69KimTJnSvooBAAgz9q7+Dz/tXcDQjAUQA3FffNXmMPSf//xHP/nJTzzbV111lRwOh37605+qtrZW48eP90uBAACgsfYuYBisCyCaoc1jhuLj4/Xf//7Xa9/IkSO1du1a/fa3v9XChQs7vDgAANBYex/6ykNjvbU5DP3whz/UP/7xj0b7s7OztXbtWi1YsKAj6wIAAM1o7wKGwbwAohnaHIZmzZqlLl26NHls5MiRevXVVzVp0qQOKwwAADStvQsYBvMCiGZo85ih7OxsZWdnN3t85MiRGjlyZEfUBAAAWtDeBQyDeQFEM5zUoot79+7VXXfdpWuvvVYHDx6UJL3xxhvauXNnhxYHAAAaa+8ChsG8AKIZfA5DGzZs0LnnnqsPPvhAq1atUlVVlSRpx44duvvuuzu8QAAAgp2z2q29B6tUVHJYe7+q8vsA5PYuYBjMCyCaoc2LLjYYNmyYrr76as2ePVtxcXH66KOP1K9fPxUWFurKK6/UgQMH/FWrKVh0EQDQEjOnqLd3AcNwXhjSL4suNvj444/14osvNtrfq1cvHTp0yNe3AwAgZLU2RX3htZl+DRftXcAwGBdANIPP3WTdu3dXWVlZo/1FRUXq06dPhxQFAEAoYIp6ePA5DF133XW64447VF5eLpvNpvr6er333nvKyclhaj0AwFKYoh4efA5D9913n0499VT16dNHVVVVOuuss5SVlaXhw4frrrvu8keNAAAEJaaohwefxgwZhqHS0lI9++yz+t///V99+OGHqq+vV2ZmpjIyMvxVIwAAQalhinpBE11lVpyiHqp8mk1WX1+vLl26aOfOnZYJP8wmAwC0pPTIt5qbv8MrEDVMUU8KoQeemvEEe3/y22yyTp06KSMjQ4cOHbJMGAIAoCXJ3WO08NrMkJ6ibvUn2Ps8Zuihhx7Sb3/7W33yySf+qAcAgJBj7xql/gmxOv/UU9Q/ITakghBPsD+JdYauv/56VVdX67zzzlNUVJRiYrwT49dff91hxQEAAP9qy/IA/gh3wdQt53MYWrBggR/KAAAAZjBjeYBg65bzOQzdeOON/qgDAACYINDLA5i9andTfA5DJSUlLR4/9dRTT7oYAAAQWIFeHsCsbrmW+ByG0tLSZLPZmj1eV1fXroIAAEDgNDzBvrnlATo6mATjqt0+h6GioiKv7draWhUVFenRRx/Vfffd12GFAQCAwAjk8gDBuGq3z2HovPPOa7Rv8ODBSk5O1h//+EdNmDChQwoDAACBE6gn2Afjqt0+rzPUnNNPP12FhYUd9XYAACAMNXTLZWU4vPb7q1uuLXxuGXK5XF7bhmGorKxM8+fPZ1VqAADQqmBbtdvnMNS9e/dGA6gNw1BKSoqWL1/eYYUBAIDwFahuubbwOQy9++67XtudOnVSr169dNppp6lzZ5/fDgAAwFQ+pxebzabhw4c3Cj7Hjh1TQUGBsrKyOqw4AAAAf/N5APWoUaOafP6Y0+nUqFGjOqQoAACAQPG5ZcgwjCYXXTx06JC6devWIUUBAKC6OmnjRqmsTEpKkkaMkCIizK7KsoLpwaodrc1hqGH9IJvNpsmTJys6OtpzrK6uTjt27NDw4cM7vsLveeqpp/THP/5RZWVlOvvss7VgwQKNGDGi2fM3bNig2bNna+fOnUpOTtacOXM0bdo0v9cJAGiHVaukGTOkL788sa9vX+nxxyXWswu4YHuwakdrczeZ3W6X3W6XYRiKi4vzbNvtdiUmJurXv/61li1b5s9atWLFCs2cOVN33nmnioqKNGLECF122WXNPi+tuLhYl19+uUaMGKGioiL97ne/0+233678/Hy/1gkAaIdVq6SrrvIOQpJ04MDx/atWmVOXRbX2YFVntdukyjqOzTAMw5cL7rnnHuXk5JjSJTZkyBBdcMEFWrRokWffmWeeqSuvvFK5ubmNzr/jjju0Zs0a7dq1y7Nv2rRp+uijj7Rly5YmP6OmpkY1NTWebZfLpZSUFDmdTsXHx3fgtwEANFJXJ6WlNQ5CDWy24y1ExcV0mQXI3oNVuvjRDc0e/+fsbPVPiA1gRW3jcrlkt9vb9Pvt8wDqu+++25Qg5Ha7tW3bNo0ePdpr/+jRo7V58+Ymr9myZUuj88eMGaOtW7eqtrbpB8Hl5uZ6tXqlpKR0zBcAALRu48bmg5AkGYa0f//x8xAQwfhg1Y52UgsDvfzyy1q5cqVKSkrkdns3j3344YcdUtj3VVRUqK6uTr179/ba37t3b5WXlzd5TXl5eZPnHzt2TBUVFUpKSmp0zbx58zR79mzPdkPLEAAgAMrKOvY8tFswPli1o/ncMvTEE0/opptuUkJCgoqKivTDH/5QPXv21Oeff67LLrvMHzV6aWr166Zmt7V0flP7G0RHRys+Pt7rBQAIkCb+ktqu89BuDQ9WbYpZD1btaD6HoaeeekqLFy/Wk08+qaioKM2ZM0fr1q3T7bffLqfT6Y8aJUkOh0MRERGNWoEOHjzYqPWnQWJiYpPnd+7cWT179vRbrQCAkzRixPExQc39Jddmk1JSjp+HgAjGB6t2NJ+7yUpKSjxT6GNiYlRZWSlJuuGGGzR06FA9+eSTHVvh/4mKitKgQYO0bt06jR8/3rN/3bp1GjduXJPXDBs2TGvXrvXa99Zbb2nw4MGKjAz9Zj0ACDsREcenz1911fHg8905Pg0BacECBk8HWLA9WLWj+dwylJiYqEOHDkmSUlNT9f7770s6Po3dx4lpPps9e7aWLFmiP//5z9q1a5dmzZqlkpISz7pB8+bN06RJkzznT5s2TV988YVmz56tXbt26c9//rOee+455eTk+LVOAEA7TJggvfyy1KeP9/6+fY/vZ50hU9i7Rql/QqzOP/UU9U+IDZsgJJ1Ey9BFF12ktWvX6oILLtCUKVM0a9Ysvfzyy9q6datnYUZ/+fnPf65Dhw7pD3/4g8rKynTOOefo9ddfV2pqqiSprKzMa82h9PR0vf7665o1a5b+9Kc/KTk5WU888YQmTpzo1zoBAO00YYI0bhwrUCMgfF5nqL6+XvX19Z4Hta5cuVKbNm3SaaedpmnTpikqKnySouTbOgUAACA4+PL77XMYshrCEAAAoceviy5K0saNG3X99ddr2LBhOnDggCTpL3/5izZt2nQybwcAAGAan8NQfn6+xowZo5iYGBUVFXkeXVFZWan777+/wwsEAADwJ5/D0L333qunn35azz77rNf09OHDh/tt9WkAAAB/8TkM7d69W1lZWY32x8fH68iRIx1REwAAQMD4HIaSkpL02WefNdq/adMm9evXr0OKAgAACBSfw9DNN9+sGTNm6IMPPpDNZlNpaan++te/KicnR7fccos/agQAAPCbNi26uGPHDp1zzjnq1KmT5syZI6fTqVGjRuno0aPKyspSdHS0cnJyNH36dH/XCwAA0KHatM5QRESEysrKlJCQoH79+qmwsFBdunTRrl27VF9fr7POOkuxsbGBqDfgWGcIAIDQ48vvd5tahrp3767i4mIlJCRo3759qq+vV7du3TR48OAOKRgAAMAsbQpDEydOVHZ2tpKSkmSz2TR48GBFNPN8mM8//7xDCwQAAPCnNoWhxYsXa8KECfrss890++23a+rUqYqLi/N3bQAAAH7X5qfWjx07VpK0bds2zZgxgzAEAADCQpvDUIO8vDx/1AEAAGCKk3pQKwAAQLggDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsjDAEAAEsLiTC0b98+TZkyRenp6YqJiVH//v119913y+12t3jd5MmTZbPZvF5Dhw4NUNUAACAUdDa7gLb49NNPVV9fr2eeeUannXaaPvnkE02dOlXffPONHn744RavHTt2rPLy8jzbUVFR/i4XAACEkJAIQ2PHjtXYsWM92/369dPu3bu1aNGiVsNQdHS0EhMT/V0iAAAIUSHRTdYUp9OpHj16tHre+vXrlZCQoNNPP11Tp07VwYMHWzy/pqZGLpfL6wUAAMJXSIahvXv3auHChZo2bVqL51122WX661//qnfeeUePPPKICgsLddFFF6mmpqbZa3Jzc2W32z2vlJSUji4fAAAEEZthGIZZHz5//nzdc889LZ5TWFiowYMHe7ZLS0uVnZ2t7OxsLVmyxKfPKysrU2pqqpYvX64JEyY0eU5NTY1XWHK5XEpJSZHT6VR8fLxPnwcAAMzhcrlkt9vb9Ptt6pih6dOn65prrmnxnLS0NM+/l5aWatSoURo2bJgWL17s8+clJSUpNTVVe/bsafac6OhoRUdH+/zeAAAgNJkahhwOhxwOR5vOPXDggEaNGqVBgwYpLy9PnTr53sN36NAh7d+/X0lJST5fCwAAwlNIjBkqLS3VyJEjlZKSoocfflhfffWVysvLVV5e7nXegAEDtHr1aklSVVWVcnJytGXLFu3bt0/r16/XFVdcIYfDofHjx5vxNQAAQBAKian1b731lj777DN99tln6tu3r9ex7w552r17t5xOpyQpIiJCH3/8sZYuXaojR44oKSlJo0aN0ooVKxQXFxfQ+gEAQPAydQB1KPBlABYAAAgOvvx+h0Q3GQAAgL8QhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKURhgAAgKWFTBhKS0uTzWbzes2dO7fFawzD0Pz585WcnKyYmBiNHDlSO3fuDFDFAAAgFIRMGJKkP/zhDyorK/O87rrrrhbPf+ihh/Too4/qySefVGFhoRITE3XppZeqsrIyQBUDAIBg19nsAnwRFxenxMTENp1rGIYWLFigO++8UxMmTJAkvfDCC+rdu7defPFF3XzzzU1eV1NTo5qaGs+2y+Vqf+EAACBohVTL0IMPPqiePXvq/PPP13333Se3293sucXFxSovL9fo0aM9+6Kjo5Wdna3Nmzc3e11ubq7sdrvnlZKS0qHfAQAABJeQaRmaMWOGLrjgAp1yyin617/+pXnz5qm4uFhLlixp8vzy8nJJUu/evb329+7dW1988UWznzNv3jzNnj3bs+1yuQhEAACEMVPD0Pz583XPPfe0eE5hYaEGDx6sWbNmefYNHDhQp5xyiq666ipPa1FzbDab17ZhGI32fVd0dLSio6Pb+A0AAECoMzUMTZ8+Xddcc02L56SlpTW5f+jQoZKkzz77rMkw1DC2qLy8XElJSZ79Bw8ebNRaBAAArMvUMORwOORwOE7q2qKiIknyCjrflZ6ersTERK1bt06ZmZmSJLfbrQ0bNujBBx88uYIBAEDYCYkB1Fu2bNFjjz2m7du3q7i4WCtXrtTNN9+sn/70pzr11FM95w0YMECrV6+WdLx7bObMmbr//vu1evVqffLJJ5o8ebK6du2q6667zqyvAgAAgkxIDKCOjo7WihUrdM8996impkapqamaOnWq5syZ43Xe7t275XQ6Pdtz5szRt99+q1tuuUWHDx/WkCFD9NZbbykuLi7QXwHf46x2q6LKLdfRWsXHRMrRLUr2rlFmlwUAsCCbYRiG2UUEM5fLJbvdLqfTqfj4eLPLCQulR77VHfk7tHFPhWdfVoZDD0wcqOTuMSZWBgAIF778fodENxnCh7Pa3SgISVLBngrNzd8hZ3Xza0cBAOAPhCEEVEWVu1EQalCwp0IVVYQhAEBgEYYQUK6jtS0er2zlOAAAHS0kBlCjbUJhUHJ8l8gWj8e1chwAgI5GGAoToTIo2REbpawMhwqa6CrLynDIERtc4Q0AEP7oJgsDZgxKdla7tfdglYpKDmvvV1Vt/gx71yg9MHGgsjK8F9vMynDowYkDg64lCwAQ/mgZCgNtGZTckSGjva1Qyd1jtPDaTFVUuVV5tFZxXSLliD3RpRcK3X0AgPBBGAoDgRyU3For1MJrM9sUXOxdmw44odLdBwAIH3SThYFADkr259R41iACAJiBMBQGGgYlN6WjByX7sxWKNYgAAGYgDIWBQA5K9mcrFGsQAQDMwJihMNHaoOSO4s+p8axBBAAwAy1DIaalKe32rlHqnxCr8089Rf0TYv0yA8ufrVCB7O4DAKABT61vRTA9tT6YZlo1TH/v6Fao0iPfam7+Dq+Wp4aglcRsMgBAG/ny+00YakWwhCFntVvTXypqcoBxVoajzVPaQ4G/ghYAwDp8+f1mzFCICPTCimZqbg0iAAD8gTFDIYKZVgAA+AdhKEQw0woAAP8gDIUIZloBAOAfhKEQwdPeAQDwDwZQh5BALawIAICVEIZCDDOtAADoWHSTAQAASyMMAQAASyMMAQAASyMMAQAAS2MAdRhpeKaX62it4mMi5ejGYGsAAFpDGAoTwfREewAAQgndZEHMWe3W3oNVKio5rL1fVclZ7W72vO8HIen4A1zn5u9o9joAAEDLUNDypaXHSk+0BwCgo9EyFIR8bekx44n2bW21AgAg2NEyFIR8bekJ9BPtGZ8EAAgntAwFIV9begL5RHvGJwEAwg1hKAj52tITyCfat6XVCgCAUBISYWj9+vWy2WxNvgoLC5u9bvLkyY3OHzp0aAArPzkn09LT8ET7f87O1iu3DNc/Z2dr4bWZSurgbiszxicBAOBPITFmaPjw4SorK/Pa9/vf/15vv/22Bg8e3OK1Y8eOVV5enmc7Kir4Z1U1tPTMzd+hgu+Ny2mppScQT7QP9PgkAAD8LSTCUFRUlBITEz3btbW1WrNmjaZPny6bzdbitdHR0V7XhoqGlp6KKrcqj9YqrkukHLE+hp26OmnjRqmsTEpKkkaMkCIi2lVXQ6tVQRNdZR09PgkAgEAIiW6y71uzZo0qKio0efLkVs9dv369EhISdPrpp2vq1Kk6ePBgi+fX1NTI5XJ5vcxi7xql/gmxOv/UU9Q/Ida3ILRqlZSWJo0aJV133fF/pqUd39/OmgI1PgkAgECwGYZhmF2Ery6//HJJ0uuvv97ieStWrFBsbKxSU1NVXFys3//+9zp27Ji2bdum6OjoJq+ZP3++7rnnnkb7nU6n4uPj2198IKxaJV11lfT9P9qGVrSXX5YmTGjXRzQ8B+2kW60AAPAjl8slu93ept9vU8NQc8HjuwoLC73GBX355ZdKTU3VypUrNXHiRJ8+r6ysTKmpqVq+fLkmNBMGampqVFNT49l2uVxKSUkJnTBUV3e8BejLL5s+brNJfftKxcXt7jIDACBY+RKGTB0zNH36dF1zzTUtnpOWlua1nZeXp549e+qnP/2pz5+XlJSk1NRU7dmzp9lzoqOjm201CgkbNzYfhKTjrUX79x8/b+TIgJUFAECwMjUMORwOORxNTyFvimEYysvL06RJkxQZ6fuspUOHDmn//v1KSkry+dqQ8b1Zd+0+DwCAMBdSA6jfeecdFRcXa8qUKU0eHzBggFavXi1JqqqqUk5OjrZs2aJ9+/Zp/fr1uuKKK+RwODR+/PhAlh1YbQ164RwIAQDwQUhMrW/w3HPPafjw4TrzzDObPL579245nU5JUkREhD7++GMtXbpUR44cUVJSkkaNGqUVK1YoLi4ukGUH1ogRx8cEHTjQeAC1dGLM0IgRga8NAIAgFJKzyQLJlwFYQaNhNpnkHYg6cDYZAADBzJff75DqJgsnzmq39h6sUlHJYe39qqpjH3A6YcLxwNOnj/f+vn0JQgAAfE9IdZOFi9Ij3zZ68ntWhkMPTByo5I56ltiECdK4cR2+AjUAAOGGbrJWdHQ3mbParekvFTX55PesDIcWXpvJ4oUAALQT3WRBrKLK3WQQkqSCPRWqqOrA7jIAANAqwlCAuY7Wtni8spXjAACgYxGGAiy+S8uLRca1chwAAHQswlCAOWKjGj3xvUFWhkOOWMYLAQAQSIShALN3jdIDEwc2CkRZGQ49OHEgg6cBAAgwptabILl7jBZem6mKKrcqj9YqrkukHLFRBCEAAExAGDKJvSvhBwCAYEAYwklxVrtVUeWW62it4mMi5ehGuAMAhCbCEHwWkBW0AQAIEAZQwyfOanejICQdXzBybv6Ojn3GGgAAAUAYgk9YQRsAEG4IQ/AJK2gDAMINYQg+YQVtAEC4IQzBJ6ygDQAIN4Qh+IQVtAEA4Yap9fAZK2gDAMIJYQgnhRW0AQDhgm4yAABgaYQhAABgaYQhAABgaYQhAABgaYQhAABgaYQhAABgaYQhAABgaYQhAABgaYQhAABgaYQhAABgaTyOoxWGYUiSXC6XyZUAAIC2avjdbvgdbwlhqBWVlZWSpJSUFJMrAQAAvqqsrJTdbm/xHJvRlshkYfX19SotLVVcXJxsNluHva/L5VJKSor279+v+Pj4DnvfUMS9OIF7cQL34gTuxQncixO4F96+fz8Mw1BlZaWSk5PVqVPLo4JoGWpFp06d1LdvX7+9f3x8PP8R/x/uxQncixO4FydwL07gXpzAvfD23fvRWotQAwZQAwAASyMMAQAASyMMmSQ6Olp33323oqOjzS7FdNyLE7gXJ3AvTuBenMC9OIF74a0994MB1AAAwNJoGQIAAJZGGAIAAJZGGAIAAJZGGAIAAJZGGAoC//nPfzRu3Dg5HA7Fx8frRz/6kd59912zyzLNa6+9piFDhigmJkYOh0MTJkwwuyRT1dTU6Pzzz5fNZtP27dvNLscU+/bt05QpU5Senq6YmBj1799fd999t9xut9mlBcRTTz2l9PR0denSRYMGDdLGjRvNLingcnNz9YMf/EBxcXFKSEjQlVdeqd27d5tdVlDIzc2VzWbTzJkzzS7FFAcOHND111+vnj17qmvXrjr//PO1bds2n96DMBQEfvzjH+vYsWN65513tG3bNp1//vn6yU9+ovLycrNLC7j8/HzdcMMNuummm/TRRx/pvffe03XXXWd2WaaaM2eOkpOTzS7DVJ9++qnq6+v1zDPPaOfOnXrsscf09NNP63e/+53ZpfndihUrNHPmTN15550qKirSiBEjdNlll6mkpMTs0gJqw4YNuvXWW/X+++9r3bp1OnbsmEaPHq1vvvnG7NJMVVhYqMWLF2vgwIFml2KKw4cP60c/+pEiIyP1j3/8Q//+97/1yCOPqHv37r69kQFTffXVV4Yko6CgwLPP5XIZkoy3337bxMoCr7a21ujTp4+xZMkSs0sJGq+//roxYMAAY+fOnYYko6ioyOySgsZDDz1kpKenm12G3/3whz80pk2b5rVvwIABxty5c02qKDgcPHjQkGRs2LDB7FJMU1lZaWRkZBjr1q0zsrOzjRkzZphdUsDdcccdxoUXXtju96FlyGQ9e/bUmWeeqaVLl+qbb77RsWPH9Mwzz6h3794aNGiQ2eUF1IcffqgDBw6oU6dOyszMVFJSki677DLt3LnT7NJM8d///ldTp07VX/7yF3Xt2tXscoKO0+lUjx49zC7Dr9xut7Zt26bRo0d77R89erQ2b95sUlXBwel0SlLY/zfQkltvvVU//vGPdckll5hdimnWrFmjwYMH6+qrr1ZCQoIyMzP17LPP+vw+hCGT2Ww2rVu3TkVFRYqLi1OXLl302GOP6Y033vC9mS/Eff7555Kk+fPn66677tKrr76qU045RdnZ2fr6669Nri6wDMPQ5MmTNW3aNA0ePNjscoLO3r17tXDhQk2bNs3sUvyqoqJCdXV16t27t9f+3r17W7IbvYFhGJo9e7YuvPBCnXPOOWaXY4rly5frww8/VG5urtmlmOrzzz/XokWLlJGRoTfffFPTpk3T7bffrqVLl/r0PoQhP5k/f75sNluLr61bt8owDN1yyy1KSEjQxo0b9a9//Uvjxo3TT37yE5WVlZn9NTpEW+9FfX29JOnOO+/UxIkTNWjQIOXl5clms+lvf/ubyd+iY7T1XixcuFAul0vz5s0zu2S/auv9+K7S0lKNHTtWV199tX71q1+ZVHlg2Ww2r23DMBrts5Lp06drx44deumll8wuxRT79+/XjBkztGzZMnXp0sXsckxVX1+vCy64QPfff78yMzN18803a+rUqVq0aJFP78PjOPykoqJCFRUVLZ6Tlpam9957T6NHj9bhw4cVHx/vOZaRkaEpU6Zo7ty5/i7V79p6L7Zs2aKLLrpIGzdu1IUXXug5NmTIEF1yySW67777/F2q37X1XlxzzTVau3at1w9eXV2dIiIi9Itf/EIvvPCCv0sNiLbej4b/4ZeWlmrUqFEaMmSInn/+eXXqFN5/n3O73eratav+9re/afz48Z79M2bM0Pbt27VhwwYTqzPHbbfdpldeeUUFBQVKT083uxxTvPLKKxo/frwiIiI8++rq6mSz2dSpUyfV1NR4HQtnqampuvTSS7VkyRLPvkWLFunee+/VgQMH2vw+nf1RHCSHwyGHw9HqedXV1ZLU6H/qnTp18rSUhLq23otBgwYpOjpau3fv9oSh2tpa7du3T6mpqf4uMyDaei+eeOIJ3XvvvZ7t0tJSjRkzRitWrNCQIUP8WWJAtfV+SMenz44aNcrTYhjuQUiSoqKiNGjQIK1bt84rDK1bt07jxo0zsbLAMwxDt912m1avXq3169dbNghJ0sUXX6yPP/7Ya99NN92kAQMG6I477rBMEJKkH/3oR42WWPjPf/7j+29Gu4dgo12++uoro2fPnsaECROM7du3G7t37zZycnKMyMhIY/v27WaXF3AzZsww+vTpY7z55pvGp59+akyZMsVISEgwvv76a7NLM1VxcbGlZ5MdOHDAOO2004yLLrrI+PLLL42ysjLPK9wtX77ciIyMNJ577jnj3//+tzFz5kyjW7duxr59+8wuLaB+85vfGHa73Vi/fr3Xn391dbXZpQUFq84m+9e//mV07tzZuO+++4w9e/YYf/3rX42uXbsay5Yt8+l9CENBoLCw0Bg9erTRo0cPIy4uzhg6dKjx+uuvm12WKdxut/E///M/RkJCghEXF2dccsklxieffGJ2WaazehjKy8szJDX5soI//elPRmpqqhEVFWVccMEFlpxO3tyff15entmlBQWrhiHDMIy1a9ca55xzjhEdHW0MGDDAWLx4sc/vwZghAABgaeHf6Q4AANACwhAAALA0whAAALA0whAAALA0whAAALA0whAAALA0whAAALA0whAAALA0whCAoGIYhn7961+rR48estls2r59u9klAQhzhCEAQeWNN97Q888/r1dffVVlZWU655xz2v2ekydP1pVXXtn+4tro6NGjmjx5ss4991x17tw5oJ8NwHc8tR5AUNm7d6+SkpI0fPhws0tppK6uTjabTZ06tfz3yLq6OsXExOj2229Xfn5+gKoDcLJoGQIQNCZPnqzbbrtNJSUlstlsSktLk2EYeuihh9SvXz/FxMTovPPO08svv+y5pq6uTlOmTFF6erpiYmJ0xhln6PHHH/ccnz9/vl544QX9/e9/l81mk81m0/r167V+/XrZbDYdOXLEc+727dtls9m0b98+SdLzzz+v7t2769VXX9VZZ52l6OhoffHFF3K73ZozZ4769Omjbt26aciQIVq/fr3nfbp166ZFixZp6tSpSkxM9PdtA9BOtAwBCBqPP/64+vfvr8WLF6uwsFARERG66667tGrVKi1atEgZGRkqKCjQ9ddfr169eik7O1v19fXq27evVq5cKYfDoc2bN+vXv/61kpKS9LOf/Uw5OTnatWuXXC6X8vLyJEk9evTQ5s2b21RTdXW1cnNztWTJEvXs2VMJCQm66aabtG/fPi1fvlzJyclavXq1xo4dq48//lgZGRn+vEUA/IAwBCBo2O12xcXFKSIiQomJifrmm2/06KOP6p133tGwYcMkSf369dOmTZv0zDPPKDs7W5GRkbrnnns875Genq7Nmzdr5cqV+tnPfqbY2FjFxMSopqbmpFppamtr9dRTT+m8886TdLwb76WXXtKXX36p5ORkSVJOTo7eeOMN5eXl6f777++AOwEgkAhDAILWv//9bx09elSXXnqp1363263MzEzP9tNPP60lS5boiy++0Lfffiu3263zzz+/Q2qIiorSwIEDPdsffvihDMPQ6aef7nVeTU2Nevbs2SGfCSCwCEMAglZ9fb0k6bXXXlOfPn28jkVHR0uSVq5cqVmzZumRRx7RsGHDFBcXpz/+8Y/64IMPWnzvhkHQhmF49tXW1jY6LyYmRjabzaumiIgIbdu2TREREV7nxsbG+vDtAAQLwhCAoNUwaLmkpETZ2dlNnrNx40YNHz5ct9xyi2ff3r17vc6JiopSXV2d175evXpJksrKynTKKadIUpvWNMrMzFRdXZ0OHjyoESNG+PJ1AAQpwhCAoBUXF6ecnBzNmjVL9fX1uvDCC+VyubR582bFxsbqxhtv1GmnnaalS5fqzTffVHp6uv7yl7+osLBQ6enpnvdJS0vTm2++qd27d6tnz56y2+067bTTlJKSovnz5+vee+/Vnj179Mgjj7Ra0+mnn65f/OIXmjRpkh555BFlZmaqoqJC77zzjs4991xdfvnlko538bndbn399deqrKz0BK2O6r4D0IEMAAgijz32mJGamurZrq+vNx5//HHjjDPOMCIjI41evXoZY8aMMTZs2GAYhmEcPXrUmDx5smG3243u3bsbv/nNb4y5c+ca5513nuc9Dh48aFx66aVGbGysIcl49913DcMwjE2bNhnnnnuu0aVLF2PEiBHG3/72N0OSUVxcbBiGYeTl5Rl2u71RjW632/h//+//GWlpaUZkZKSRmJhojB8/3tixY4fnnNTUVENSoxeA4GMzjO90mAMAAFgMiy4CAABLIwwBAABLIwwBAABLIwwBAABLIwwBAABLIwwBAABLIwwBAABLIwwBAABLIwwBAABLIwwBAABLIwwBAABL+//vDaQJc0aOSQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.scatterplot(data=blobs, x='feature1', y='feature2')\n", "plt.plot(cluster_centers[:,0], cluster_centers[:,1], 'ro');" ] }, { "cell_type": "markdown", "id": "a800bfb5-d1e5-480d-aac1-a0f853ee0119", "metadata": {}, "source": [ "5. Because of the mis-assigned points, the cluster centers are not really in the middle of the clusters but they moved in the right direction. Now we can repeat the same operation as before: we assign points to the closest cluster center and update the center positions" ] }, { "cell_type": "code", "execution_count": 16, "id": "fd047078-9088-4278-82d5-e522fcda4803", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "distances = np.stack([np.linalg.norm(blobs[['feature1', 'feature2']].values - cluster_centers[i], axis=1) for i in range(3)], axis=1)\n", "min_dist = np.argmin(distances, axis=1)\n", "blobs['cluster_label'] = min_dist\n", "cluster_centers = np.stack([blobs[blobs.cluster_label == i][['feature1', 'feature2']].mean().values for i in range(3)], axis=0)\n", "\n", "fig, ax = plt.subplots(1,2, figsize=(10,5))\n", "sns.scatterplot(data=blobs, x='feature1', y='feature2', hue='label', ax=ax[0])\n", "sns.scatterplot(data=blobs, x='feature1', y='feature2', hue='cluster_label', ax=ax[1])\n", "plt.plot(cluster_centers[:,0], cluster_centers[:,1], 'ro');" ] }, { "cell_type": "markdown", "id": "8f2c44f6-edfa-45ba-8967-a87ac3ed8fe4", "metadata": {}, "source": [ "Now already at the second iteration, we have detected the clusters. Usually of course multiple rounds are needed as generally data are not as clean as these blobs used above. You can already see here potential problems with the method: for example if your initial random positions are far from one cluster, it can be ignored and we end up with only two labels. Each method has such limitations." ] }, { "cell_type": "markdown", "id": "ca50b80c-0548-4a86-8eea-dc75f2de2e6a", "metadata": {}, "source": [ "## Application in scikit-learn\n", "\n", "Above we did all the steps manually, but of course the algorithm is implemented in scikit-learn so that you can use it out of the box. Again here, the way to use the method is similar to what we have seen before. First we import the method:" ] }, { "cell_type": "code", "execution_count": 146, "id": "6f41e4bc-1193-47a6-9274-5e34067af949", "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import KMeans" ] }, { "cell_type": "markdown", "id": "36ceee5b-4ff0-4481-8d9b-baa9e1107f8a", "metadata": {}, "source": [ "Then we instantiate our model with the required parameters. Here we specify the number of cluster that we expect:" ] }, { "cell_type": "code", "execution_count": 147, "id": "3922335b-1468-43db-b1fb-3f1b66b59654", "metadata": {}, "outputs": [], "source": [ "kmeans_model = KMeans(n_clusters=3)" ] }, { "cell_type": "markdown", "id": "33bfa459-9346-4a5a-b119-94b741fb3cb3", "metadata": {}, "source": [ "Then we fit our model. Note that in this case, as we don't have a target, we only need the features variable ```X```:" ] }, { "cell_type": "code", "execution_count": 148, "id": "37b67546-54f7-47f5-99b3-512826fa3b0b", "metadata": {}, "outputs": [], "source": [ "X = blobs[['feature1', 'feature2']]" ] }, { "cell_type": "code", "execution_count": 149, "id": "272d386e-9e30-499f-942c-cd7d0cc762b0", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/gw18g940/mambaforge/envs/DAVPy2023/lib/python3.10/site-packages/sklearn/cluster/_kmeans.py:1416: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", " super()._check_params_vs_input(X, default_n_init=10)\n" ] }, { "data": { "text/html": [ "
KMeans(n_clusters=3)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "KMeans(n_clusters=3)" ] }, "execution_count": 149, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_model.fit(X)" ] }, { "cell_type": "markdown", "id": "02607167-9891-49bd-966b-7998c683bcae", "metadata": {}, "source": [ "From our model we can already recover the labels that have been detected:" ] }, { "cell_type": "code", "execution_count": 150, "id": "74f4ac49-e4bd-4d45-89e3-6b9758cd9b09", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-2.6860672 , 8.58739003],\n", " [-6.95160684, -6.77084326],\n", " [ 4.2879471 , 1.67770362]])" ] }, "execution_count": 150, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_model.cluster_centers_" ] }, { "cell_type": "code", "execution_count": 151, "id": "a46b8a7c-0bbb-4a34-92e8-3f389f457696", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1,\n", " 1, 2, 2, 0, 1, 0, 0, 1], dtype=int32)" ] }, "execution_count": 151, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_model.labels_" ] }, { "cell_type": "markdown", "id": "5c1fe640-3425-4545-8c89-3838119af548", "metadata": {}, "source": [ "Let's see if they correspond to our expectations:" ] }, { "cell_type": "code", "execution_count": 152, "id": "384d9b44-e6dc-43a9-9901-c6908ad27c1d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 152, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2, figsize=(10,5))\n", "sns.scatterplot(data=blobs, x='feature1', y='feature2', hue=kmeans_model.labels_, ax=ax[0])\n", "sns.scatterplot(data=blobs, x='feature1', y='feature2', hue=kmeans_model.labels_, ax=ax[1])\n", "plt.plot(kmeans_model.cluster_centers_[:,0], kmeans_model.cluster_centers_[:,1], 'ro')" ] }, { "cell_type": "markdown", "id": "acf93594-2521-4716-9f81-6ec123e8a809", "metadata": {}, "source": [ "### Comparing with real labels\n", "\n", "In real life, we use clustering because we don't actually have labels for our data. When we test a method as we do above, we have labels and can check e.g. that the algorithm does what we expect. Note however that it can be tricky now to estimate the quality of the result, as the order in which labels are assigned to clusters doesn't necessarily correspond to our \"real\" labels: e.g. the cluster #1 might be labeled #2. One could check the \"real\" labels surrounding our predicted cluster centers and take a majority vote. In the example above this would work, however if the clustering is not so clear cut (outliers, touching clusters etc.) this might be tricky to do." ] }, { "cell_type": "markdown", "id": "782e6a01-be19-4809-a967-55278908139e", "metadata": {}, "source": [ "## Real case\n", "\n", "Let's look now at a real dataset. The following table contains information about the size and growth rate of bacteria growing in two different conditions:" ] }, { "cell_type": "code", "execution_count": 153, "id": "b089e62c-4105-4113-9b3b-3ee2a75d17a4", "metadata": {}, "outputs": [], "source": [ "bacteria = pd.read_csv('../data/coli.csv')" ] }, { "cell_type": "code", "execution_count": 156, "id": "b036056b-f2ea-4100-9d4f-70318d5316c1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.scatterplot(data=bacteria, x='Lb', y='growth_rate', hue='condition');" ] }, { "cell_type": "markdown", "id": "fe99f14f-df39-4b9c-81e9-c8864145e3c9", "metadata": {}, "source": [ "Again, we happen to know here the two conditions. But you might imagine an experiment where you have different populations of cells measured at the same time and wish to identify different groups. Let's initialize a clustering model: " ] }, { "cell_type": "markdown", "id": "f14b508b-e47e-481b-a77f-18f71632cca8", "metadata": {}, "source": [ "We know that we have three seed types so we can run the Kmeans model using 3 clusters:" ] }, { "cell_type": "code", "execution_count": 157, "id": "183e88d1-6d57-4001-bc80-de12f60e4631", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/gw18g940/mambaforge/envs/DAVPy2023/lib/python3.10/site-packages/sklearn/cluster/_kmeans.py:1416: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", " super()._check_params_vs_input(X, default_n_init=10)\n" ] }, { "data": { "text/html": [ "
KMeans(n_clusters=2)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
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" ], "text/plain": [ "KMeans(n_clusters=2)" ] }, "execution_count": 157, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X = bacteria[['Lb', 'growth_rate']]\n", "\n", "kmeans_model = KMeans(n_clusters=2)\n", "kmeans_model.fit(X=X)" ] }, { "cell_type": "markdown", "id": "d38be268-d489-4bf6-8dcb-4c166f966ec2", "metadata": {}, "source": [ "Let's check the prediction and compare it to the actual categories:" ] }, { "cell_type": "code", "execution_count": 158, "id": "7f2302f8-51f6-4875-a6fd-18d9b96cf633", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2, figsize=(10,5))\n", "sns.scatterplot(data=bacteria, x='Lb', y='growth_rate', hue='condition', ax=ax[0])\n", "sns.scatterplot(data=bacteria, x='Lb', y='growth_rate', hue=kmeans_model.labels_, ax=ax[1])\n", "plt.plot(kmeans_model.cluster_centers_[:,0], kmeans_model.cluster_centers_[:,1], 'ro');" ] }, { "cell_type": "markdown", "id": "bcf22184-2c4a-44c1-ab69-c7e277e5a349", "metadata": {}, "source": [ "Two groups were found but they don't correspond to what we expect, also not by visual exploration. We have seen this issue previously: the two features have very different dimensions." ] }, { "cell_type": "markdown", "id": "759d35e5-3fd5-47c6-8c25-b8e01aede2f9", "metadata": {}, "source": [ "## Feature scaling\n", "\n", "In the case of K-means clustering the reason is particularly evident: as we measure distances between points, if one feature has a much larger scale, then it will dominate the clustering, i.e. the data will mainly be partitioned along one given axis as is the case here with the length ```Lb```. We can now check whether scaling our feature in the above case, could help obtain a better clustering. Again we use the ```preprocessing``` module:" ] }, { "cell_type": "code", "execution_count": 159, "id": "c071b493-f5fe-4765-8f72-550939e45935", "metadata": {}, "outputs": [], "source": [ "from sklearn.preprocessing import StandardScaler" ] }, { "cell_type": "code", "execution_count": 160, "id": "433cbec6-b133-4176-a926-9a7f481753ce", "metadata": {}, "outputs": [], "source": [ "std_scaler = StandardScaler()\n", "X_scaled = std_scaler.fit_transform(X)" ] }, { "cell_type": "code", "execution_count": 161, "id": "fec5bf08-a7cd-42c7-a6b4-0db27dd78eb5", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/gw18g940/mambaforge/envs/DAVPy2023/lib/python3.10/site-packages/sklearn/cluster/_kmeans.py:1416: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", " super()._check_params_vs_input(X, default_n_init=10)\n" ] }, { "data": { "text/html": [ "
KMeans(n_clusters=2)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "KMeans(n_clusters=2)" ] }, "execution_count": 161, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_model = KMeans(n_clusters=2)\n", "kmeans_model.fit(X=X_scaled)" ] }, { "cell_type": "markdown", "id": "0020370c-688e-4e64-b956-ffd0eec89a16", "metadata": {}, "source": [ "Note that when we want to plot things in the original space, we need to \"reverse\" the scaling. For example of the cluster centers:" ] }, { "cell_type": "code", "execution_count": 162, "id": "4a097a49-bb78-4c1b-9f19-fa02a58c7314", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1744.11062164, 95.15701061],\n", " [2209.21844017, 44.08175174]])" ] }, "execution_count": 162, "metadata": {}, "output_type": "execute_result" } ], "source": [ "std_scaler.inverse_transform(kmeans_model.cluster_centers_)" ] }, { "cell_type": "code", "execution_count": 163, "id": "e9a74bc4-4ae0-4a80-bf6e-403dce2fd760", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2, figsize=(10,5))\n", "sns.scatterplot(data=bacteria, x='Lb', y='growth_rate', hue='condition', ax=ax[0])\n", "sns.scatterplot(data=bacteria, x='Lb', y='growth_rate', hue=kmeans_model.labels_, ax=ax[1])\n", "plt.plot(std_scaler.inverse_transform(kmeans_model.cluster_centers_)[:,0], std_scaler.inverse_transform(kmeans_model.cluster_centers_)[:,1], 'ro');" ] }, { "cell_type": "markdown", "id": "cbc98e2a-1362-4d55-8230-9d986876c5f8", "metadata": {}, "source": [ "We see that the scaling completely fixes the problem! Certain points are still miss-classified but that will always be the case." ] }, { "cell_type": "markdown", "id": "87a0fcb3-1c51-48e1-99ba-660d1890fef9", "metadata": {}, "source": [ "## Other methods\n", "\n", "As mentioned above, there are many ways to detect clusters in a dataset. Just for the purpose of illustration, we show here two alternatives called Mean Shift and DBScan clustering which are capable of finding clusters in smooth distributions and can determine the number of clusters on their own, i.e. we don't have to provide a ```n_clusters``` argument." ] }, { "cell_type": "code", "execution_count": 198, "id": "16d421bf-b5d1-40e3-97a4-695b4f4044da", "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import MeanShift, DBSCAN" ] }, { "cell_type": "code", "execution_count": 199, "id": "daa7cabb-8f30-4d55-a305-595d68e31ad4", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
MeanShift()
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" ], "text/plain": [ "MeanShift()" ] }, "execution_count": 199, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ms_model = MeanShift()\n", "ms_model.fit(X=X_scaled)" ] }, { "cell_type": "code", "execution_count": 201, "id": "6dce9d23-6f1d-4fdf-bb83-8139ef16b3d8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2, figsize=(10,5))\n", "sns.scatterplot(data=bacteria, x='Lb', y='growth_rate', hue='condition', ax=ax[0])\n", "sns.scatterplot(data=bacteria, x='Lb', y='growth_rate', hue=ms_model.labels_, ax=ax[1])\n", "plt.plot(std_scaler.inverse_transform(ms_model.cluster_centers_)[:,0], std_scaler.inverse_transform(ms_model.cluster_centers_)[:,1], 'ro');" ] }, { "cell_type": "markdown", "id": "5482f66e-c9d9-48ca-8411-69cf3085bad9", "metadata": {}, "source": [ "We see that the algorithm gives a good results, but generates additional clusters for isolated points. Those can be removed in a post-processing step.\n", "\n", "We try now DBSCAN, which is a method that finds high density regions and expands from those to all points. This method has one importante option ```eps``` which sets the maximum distance of points within a group. You can test various values for this parameter." ] }, { "cell_type": "code", "execution_count": 221, "id": "fa58f523-c191-412e-b3fd-0a4ab0da9e5f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
DBSCAN(eps=0.1)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "DBSCAN(eps=0.1)" ] }, "execution_count": 221, "metadata": {}, "output_type": "execute_result" } ], "source": [ "db_model = DBSCAN(eps=0.1)\n", "db_model.fit(X=X_scaled)" ] }, { "cell_type": "code", "execution_count": 222, "id": "130e2e50-04b3-4d0a-9292-e609bd2a1f09", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2, figsize=(10,5))\n", "sns.scatterplot(data=bacteria, x='Lb', y='growth_rate', hue='condition', ax=ax[0])\n", "sns.scatterplot(data=bacteria, x='Lb', y='growth_rate', hue=db_model.labels_, ax=ax[1]);" ] }, { "cell_type": "markdown", "id": "fe1bc3a4-2c67-4bef-a86a-501b0c83473b", "metadata": {}, "source": [ "We see that the method is also capable of finding relevant clusters but with a fairly different results from previous solutions. It is difficult to tell in advance which clustering methods is optimal for a problem, and often some trial and error is necessary." ] }, { "cell_type": "markdown", "id": "dc81e731-b4e3-4a40-8887-0cd96b35c3a0", "metadata": {}, "source": [ "## Exercise\n", "\n" ] }, { "cell_type": "markdown", "id": "1f34984f-312c-4695-a9c0-46dce229b649", "metadata": {}, "source": [ "1. Import the movement.csv dataset\n", "2. Visualize as scatter plot of ```z_acc``` and ```y_acc``` and color by the ```move_type```.\n", "2. Try to cluster the data with these features. Try KMeans and DBSCAN. Do you achieve a good clustering?" ] }, { "cell_type": "code", "execution_count": null, "id": "228a4606-a2b8-4ab0-8f6b-7ddcc65083fd", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.13" }, "vscode": { "interpreter": { "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" } } }, "nbformat": 4, "nbformat_minor": 5 }