{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "5a26d281", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "\n", "HTML(\n", " \"\"\"\n", "\n", "\"\"\"\n", ")\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "d4ab1a0f", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "plt.rcParams[\"figure.figsize\"] = (16, 8)\n", "sns.set_theme()\n", "sns.set_context(\"talk\")\n" ] }, { "cell_type": "markdown", "id": "92b42e41", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# A partioning-based clustering algorithm: K-means\n", "\n", "## Outline\n", "\n", "- Algorithm\n", "- Implementation\n", "- scikit-learn implementation\n", "- Choose K\n", "- Data preprocessing" ] }, { "cell_type": "markdown", "id": "68ece225", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Toy data generation" ] }, { "cell_type": "code", "execution_count": 3, "id": "a327ab4d", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_blobs\n", "\n", "n_points = 250\n", "data, labels = make_blobs(\n", " n_samples=n_points, n_features=2, centers=3, cluster_std=1, center_box=[-10, 10]\n", ")\n", "\n", "sns.scatterplot(x=data[:, 0], y=data[:, 1])\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "4ad865a5", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## K-means algorithm\n", "\n", "__Objective__: Find _cluster centers_ or _centroids_ representing the different clusters" ] }, { "cell_type": "code", "execution_count": 4, "id": "5c1cba55", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "a3de7f5e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Formulation for M data points and K desired clusters. \n", "\n", "We call $c_k$ the centroid of cluster $k$, $a_{ik}$ the membership variable and $d(. ,.)$ the distance metric used.\n", "\n", "$$\\text{Minimize}_{A, c} \\sum_{i=1}^{M} \\sum_{k=1}^K a_{ik} \\times d(x_i, c_k)$$\n", "$$\\text{subject to} \\sum_{k=1}^K a_{ik} = 1, \\forall i \\in \\{1, ..., M\\}$$\n", "$$a_{ik} \\in \\{0, 1\\}, \\forall i \\forall k$$" ] }, { "cell_type": "markdown", "id": "0054eea7", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Solving with the EM-algorithm\n", "\n", "- Fix K, the desired number of clusters\n", "- Initialize the K centroids as random points from the dataset\n", "- Repeat:\n", " - Allocation update: Choose the new allocation as the closest centroid obtained at previous step\n", " - Centroid update: Compute the centroid of the new class (mean), defined by the new allocation obtained\n", "at stage 2\n", "- Stop when the centroids are not moving anymore\n" ] }, { "cell_type": "markdown", "id": "888d9a4d", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Demonstration K-means\n", "\n", "K=3\n", "\n", "#### Initialization" ] }, { "cell_type": "code", "execution_count": 5, "id": "87f3cd19", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "centroids_idx = np.random.randint(0, n_points, 3)\n", "centroids = data[centroids_idx]\n", "\n", "sns.scatterplot(x=data[:, 0], y=data[:, 1])\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "833cc340", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Allocation update" ] }, { "cell_type": "code", "execution_count": 6, "id": "28e72b56", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = np.array([-1] * n_points)\n", "for i_d in range(len(data)):\n", " dist = 1000\n", " for i in range(3):\n", " new_dist = np.linalg.norm(data[i_d] - centroids[i])\n", " if new_dist < dist:\n", " dist = new_dist\n", " labels[i_d] = i\n", "\n", "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "6180bd63", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Centroids update" ] }, { "cell_type": "code", "execution_count": 7, "id": "ceb75ec6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(3):\n", " centroids[i] = np.mean(data[labels == i], axis=0)\n", "\n", "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "3203bdaa", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### More steps" ] }, { "cell_type": "code", "execution_count": 8, "id": "03e38e93", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Allocation update\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = np.array([-1] * n_points)\n", "for i_d in range(len(data)):\n", " dist = 1000\n", " for i in range(3):\n", " new_dist = np.linalg.norm(data[i_d] - centroids[i])\n", " if new_dist < dist:\n", " dist = new_dist\n", " labels[i_d] = i\n", "\n", "print(\"Allocation update\")\n", "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "39a9d09e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "centroids update\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(3):\n", " centroids[i] = np.mean(data[labels == i], axis=0)\n", "\n", "\n", "print(\"centroids update\")\n", "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "d47ec2b3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Allocation update\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = np.array([-1] * n_points)\n", "for i_d in range(len(data)):\n", " dist = 1000\n", " for i in range(3):\n", " new_dist = np.linalg.norm(data[i_d] - centroids[i])\n", " if new_dist < dist:\n", " dist = new_dist\n", " labels[i_d] = i\n", "\n", "print(\"Allocation update\")\n", "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "32dc752f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Centroids update\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(3):\n", " centroids[i] = np.mean(data[labels == i], axis=0)\n", "\n", "print(\"Centroids update\")\n", "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "707f9581", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## K-means using scikit-learn" ] }, { "cell_type": "code", "execution_count": 12, "id": "8c28a2e2", "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import KMeans\n" ] }, { "cell_type": "code", "execution_count": 13, "id": "77415efb", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "K = 3\n", "kmeans = KMeans(n_clusters=K)\n", "kmeans.fit(data)\n", "\n", "clusters = kmeans.predict(data)\n", "centroids = kmeans.cluster_centers_\n", "\n", "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters, palette=\"tab10\")\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c=\"r\", marker=\"x\", s=100, linewidths=3)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "d40bd57b", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Selecting the optimal number of clusters K\n", "\n", "- The Elbow method\n", "- The Silhouette method" ] }, { "cell_type": "markdown", "id": "60fd5659", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### The Elbow method\n", "\n", "Plot the inertia $I$ as a function of the number of clusters.\n", "$$I=\\sum_{i=0}^n \\min_{k \\in \\{1, ..., K\\}} (||x_i - c_k||^2)$$\n", "Inertia is always decreasing when more clusters are added (clusters get tighter).\\ \n", "However, when good groups are formed, inertia start decreasing _less_.\\\n", "Hence, __choose the number of clusters corresponding to the last big drop in I (the _elbow_ of the curve)__.\n", "\n", "__Exercise: Try to compute the inertia curve for the toy example. Make K vary from 1 to 10.__\\\n", "*Hint: The K-means in sklearn has a kmeans.inertia_ parameter.*" ] }, { "cell_type": "code", "execution_count": 14, "id": "826af521", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "inertia = []\n", "for k in range(1, 11):\n", " kmeans = KMeans(n_clusters=k)\n", " kmeans.fit(data)\n", " inertia.append(kmeans.inertia_)\n", "inertia = np.array(inertia)\n", "\n", "plt.bar(range(1, 11), inertia)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "2e6ef3cd", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## The silhouette method\n", "\n", "The silhouette was seen in the previous slides. It takes into account both the points within a cluster but also from other clusters, Hence, it should not be always decreasing when K increases.\n", "\n", "By plotting the silhouette curve for different values of K, we can simply choose the number of clusters with the highest silhouette.\n", "\n", "_Exercise: Try to compute the silhouette curve for the toy example. Make K vary from 2 to 10._" ] }, { "cell_type": "code", "execution_count": 15, "id": "65ca9744", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import silhouette_score\n", "\n", "silhouette = []\n", "for k in range(2, 11):\n", " kmeans = KMeans(n_clusters=k)\n", " clusters = kmeans.fit_predict(data)\n", " silhouette.append(silhouette_score(data, clusters))\n", "silhouette = np.array(silhouette)\n", "\n", "plt.plot(range(2, 11), silhouette)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "7e350864", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Data preprocessing\n", "\n", "**Example:** We want to identify groups of people that are collected from a population.\\\n", "The data measured are the **weight (in kg)** and the **age (in days)** of the individuals.\\\n", "The objective is to identify the groups corresponding to men and women.\\\n", "The average weight of women is 60 kg and for men it is 80 kg. The variance is about 5 kg for both groups.\\\n", "The average age of both groups is 50 years and the variance is 10 years." ] }, { "cell_type": "code", "execution_count": 16, "id": "06543a11", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "means = [np.array([60, 50 * 365]), np.array([80, 50 * 365])]\n", "covariance = np.array([[5, 0], [0, 10 * 365]])\n", "n_points = 500\n", "\n", "data = [\n", " np.random.multivariate_normal(mean=means[i], cov=covariance, size=n_points)\n", " for i in range(2)\n", "]\n", "data = np.r_[data[0], data[1]]\n", "\n", "sns.scatterplot(x=data[:, 0], y=data[:, 1])\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 17, "id": "ad0a54b6", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kmeans = KMeans(n_clusters=2)\n", "clusters = kmeans.fit_predict(data)\n", "\n", "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters, palette=\"tab10\")\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 18, "id": "a8eee5b3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(data[:, 0])\n", "plt.show()\n", "plt.hist(data[:, 1])\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 19, "id": "a6e48898", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.boxplot(data)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 20, "id": "9063c55e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.preprocessing import StandardScaler\n", "\n", "ss = StandardScaler()\n", "data_scaled = ss.fit_transform(data)\n", "\n", "sns.scatterplot(x=data_scaled[:, 0], y=data_scaled[:, 1])\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 21, "id": "9466769c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(data_scaled[:, 0])\n", "plt.show()\n", "plt.hist(data_scaled[:, 1])\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 22, "id": "ecfc52e0", "metadata": {}, "outputs": [ { "data": { "image/png": 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f3n7wwYeFznFM3eh4/xeFjgAVJbeAjfjoluHhvLc3WRbR379luCNBsor8e7/jJ7+V8tmrlDkAyE/R/66vpHNfJcwA5dLU1LDXq7C5Bey4ceN2e5W1v78/Iv59JRbYt6JvpaqU26giPvqzAACgOuUWsFOmTInVq1fH4ODgLs/Bdnd3R0REc3NzXkvDiPP1JU/Gxo0Dha1fST+F/vqksbFxUdFTAABQhNx2IT7zzDNjYGAg1qxZs8vr999/f3zmM58Z1gZOAAAAVK/crsDOmDEjWltbY+HChdHX1xeTJ0+O+++/P/70pz/FTTfdlNeyAAAAjFC5BWypVIqbbroprrvuurj++utjYGAgpkyZEkuXLo0zzjgjr2UBAAAYoUpZlmVFD7E/Bgez6O19t+gxoKwmTRrrGdjtiv6zACB/lfDv+ko591XCnwWUU1NTQ9TU7Hkb4tyegQUAAICDScACAACQBAELAABAEgQsAAAASRCwAAAAJEHAAgAAkAQBCwAAQBIELAAAAEkQsAAAACRBwAIAAJAEAQsAAEASBCwAAABJELAAAAAkQcACAACQBAELAABAEgQsAAAASRCwAAAAJEHAAgAAkAQBCwAAQBIELAAAAEkQsAAAACRBwAIAAJAEAQsAAEASBCwAAABJELAAAAAkQcACAACQBAELAABAEgQsAAAASRCwAAAAJEHAAgAAkAQBCwAAQBJqix4AAAA+adKksUWPUBHGjRtX9AhQUQQsAAAVZePGgaJHiMbG+qirG10RswD/5hZiAAAAkiBgAQAASIKABQAAIAkCFgAAgCQIWAAAAJIgYAEAAEiCgAUAACAJAhYAAIAkCFgAAACSIGABAABIgoAFAAAgCQIWAACAJNTmdeBXXnkl7rzzznjppZdiw4YNsXXr1njyySdj8uTJeS0JAADACJbbFdg///nP8dRTT8WECRPi85//fF7LAAAAUCVyC9hvfOMb0dHRETfffHOcfvrpeS0DAABAlcgtYGtqPF4LAADAwZPbM7B5KZUiGhvrix4Dyq7Iv/e1taMKn2FnlTIHACNXpZ37oFqUSnt/P7mAhWpVVze66BEqwmGHHVb0CAAAFGRIAdvV1RWzZ88e0gE7Oztj/PjxBzTU3mRZRH//ltyOD5Vo48aBQtdvbKyPurrRhc+xg38HAJC3HVdenXOgvJqaGvZ6FXZIAXv00UfH4sWLh7RgQ0PDkP5/AAAAsD+GFLATJ06Mtra2vGcBAACAPbJVMAAAAEnIbROnLVu2xDPPPBMRERs2bIiIiI6Ojhg/fnyMHz8+TjvttLyWBgAAYAQqZVmW5XHgN998M2bOnLnb90477bRYuXLlsI47OJhFb++7BzIasJ8qbRMnAMibcx8Uo6mpIWpq9ryLU25XYCdPnvzxlVcAAAA4UJ6BBQAAIAkCFgAAgCQIWAAAAJIgYAEAAEiCgAUAACAJAhYAAIAkCFgAAACSIGABAABIgoAFAAAgCQIWAACAJAhYAAAAkiBgAQAASIKABQAAIAkCFgAAgCQIWAAAAJIgYAEAAEiCgAUAACAJAhYAAIAkCFgAAACSIGABAABIgoAFAAAgCQIWAACAJAhYAAAAkiBgAQAASIKABQAAIAkCFgAAgCQIWAAAAJIgYAEAAEiCgAUAACAJtUUPAJTH9OmtsX79ywd0jEmTxh7Q7z/uuM9GR0fXAR0DAIDqJWChShxIODY21kdERH//loM1DgAA7De3EAMAAJAEAQsAAEASBCwAAABJELAAAAAkQcACAACQBAELAABAEgQsAAAASRCwAAAAJEHAAgAAkAQBCwAAQBIELAAAAEkQsAAAACRBwAIAAJAEAQsAAEASavM68GOPPRaPPPJIvPjii/HOO+/EhAkT4tRTT41LLrkkJk+enNeyAAAAjFClLMuyPA58zjnnxIQJE+LMM8+MyZMnx1tvvRXLli2Lvr6+uO++++KII44Y1nEHB7Po7X33IE8L7E1jY31ERPT3byl4EgAoj8bG+qirGx0bNw4UPQpUlaamhqipKe3x/dwCtre3N5qamnZ57Y033ogzzzwz5syZE1dcccWwjitgofwELADVRsBCMfYVsLk9A/vJeI2IOOKII+Kwww6Lnp6evJYFAABghCrrJk7d3d2xadOmOPbYY8u5LAAAACNAbrcQf9LWrVvj3HPPjb/97W/xyCOPxPjx44d1nCzLYtu2Dw/ydMDe1NaOioiIDz7w2QOgOtTWjopRo2ri/fe3FT0KVJXRo0dFqbTnW4iHtAtxV1dXzJ49e0gLdnZ2/kecfvjhh/HDH/4wXn755bjllluGHa8AAABUryEF7NFHHx2LFy8e0gEbGhp2+efBwcGYP39+PP7443H99dfHtGnT9n/KnWSZjWSg3GziBEC1ce6DYjQ1NcReLsAOLWAnTpwYbW1t+7344OBgLFiwIB566KG49tpr46tf/ep+HwMAAAAihhiww5FlWfzoRz+KBx54IBYvXhyzZs3KaykAAACqQG4Be9VVV8V9990X3/rWt+Koo46KdevWffxeQ0NDTJkyJa+lAQAAGIFy24X4jDPOiLfeemu375122mmxcuXKYR13cDCL3t53D2Q0YD95DgiAatPYWB91daNj48aBokeBqtLU1BA1NQe4C/FwrFmzJq9DAwAAUIVqih4AAAAAhkLAAgAAkAQBCwAAQBIELAAAAEkQsAAAACRBwAIAAJAEAQsAAEASBCwAAABJELAAAAAkQcACAACQBAELAABAEgQsAAAASRCwAAAAJEHAAgAAkAQBCwAAQBIELAAAAEkQsAAAACRBwAIAAJAEAQsAAEASBCwAAABJELAAAAAkQcACAACQBAELAABAEgQsAAAASRCwAAAAJEHAAgAAkAQBCwAAQBIELAAAAEkQsAAAACShtugBAADgYJs+vTXWr3/5gI8zadLYYf/e4477bHR0dB3wDMC/CVgAAEacAw3Hxsb6iIjo799yMMYBDhK3EAMAAJAEAQsAAEASBCwAAABJELAAAAAkQcACAACQBAELAAA7mT9/Xowd2xB1daNj8uSJMX/+vKJHArYTsAAAsN38+fPitttWxJVXXhWbN/fHwoU/idtuWyFioUKUsizLih5ifwwOZtHb+27RY0BV8V14AFSLyZMnxsKFP4krrrg8Ij469y1btjR+9rP/jTfffKfg6WDka2pqiJqa0h7fdwUWAAC227r1/bjggu/u8toFF3w3tm59v6CJgJ0JWAAA2G7MmLq4/fYVu7x2++0rYsyYuoImAnZWW/QAAABQKc4//4K48sofx6c+NTouuuiiWLbsl3HllT+OOXO+u+/fDOTOM7DAPnkGFoBq8q1v/b945pmnIsuyKJVKMWPG6fF//3d/0WNBVfAMLAAADNGqVffGq6++Go8+ujreffe9uO++B+PVV1+NVavuLXo0IFyBBYbAFVgAqsX06a1x9dXXxqxZX4uIj859a9d2xIIFl0dHR1fB08HIt68rsLk9A/vkk0/GbbfdFq+++mr09/fHuHHj4sQTT4yLL744Tj755LyWBQCAYevu3hCtrV/a5bXW1i9Fd/eGgiYCdpbbLcSbN2+Oz33uc7Fo0aJYsWJFzJ8/PzZt2hTnnntu/PGPf8xrWQAAGLbm5pbo6urc5bWurs5obm4paCJgZ7ldgT377LP/47UZM2bE1KlT47777osvfvGLeS0NAADD0t4+L9rb58anP708pk2bFmvXdkR7+9xYsGBR0aMBUeav0TnkkENizJgxMXr06HIuCwAAQ9LWdk5ERFx2WXusX/9yNDe3xIIFiz5+HShW7gH74YcfxuDgYPz973+PX/3qV5FlWXz729/Oe1kAABiWtrZz4jvfmR0RNjCESpP7LsRtbW3x0ksvRUTExIkT48Ybb4wvfOELwz5elmWxbduHB2s8YAhqa0dFRMQHH/jsAVAdnPugGKNHj4pSac+7EA8pYLu6umL27NlDWrCzszPGjx//8T//9a9/jX/961/R09MTd999d6xbty6WLVsWra2tQzreJwlYKD8ncQCqjXMfFOOgBOw777wTv/vd74a04FlnnRVjxozZ7XsffvhhtLW1RZZl8dvf/nZIx/sk3wML5ed7YAGoNs59UIyD8j2wEydOjLa2tgMeZtSoUXHCCSfEQw89dMDHAgAAoLrk9j2wu7N169Z44YUX4sgjjyznsgAAAIwAue1C/J3vfCdOPfXUaG5ujkMPPTTefvvtuPvuu+O1116LJUuW5LUsAAAAI1RuAXvKKafE448/Hr/+9a/jvffei3HjxsXJJ58cK1eujC9+8Yt5LQsAAMAIlfvX6BxsNnGC8rORBQDVxrkPirGvTZzK+gwsAAAADJeABQAAIAkCFgAAgCQIWAAAAJIgYAEAAEiCgAUAACAJAhYAAIAkCFgAAACSIGABAABIgoAFAAAgCQIWAACAJAhYAAAAkiBgAQAASIKABQAAIAkCFgAAgCQIWAAAAJIgYAEAAEiCgAUAACAJAhYAAIAkCFgAAACSIGABAGAnq1bdG6eccnLU19fF9OmtsWrVvUWPBGxXW/QAAABQKVatujeuvvqnsXz58pg2bVqsXr0m2tvnRkREW9s5BU8HlLIsy4oeYn8MDmbR2/tu0WNAVWlsrI+IiP7+LQVPAgD5mj69Na6++tqYNetrEfHRuW/t2o5YsODy6OjoKng6GPmamhqipqa0x/fdQgwAANt1d2+I1tYv7fJaa+uXort7Q0ETATsTsAAAsF1zc0t0dXXu8lpXV2c0N7cUNBGwMwELAADbtbfPi/b2ufH000/Htm3bYu3ajmhvnxvt7fOKHg0ImzgBAMDHdmzUdNll7bF+/cvR3NwSCxYssoETVAibOAH7ZBMnAKqNcx8UwyZOAACwH3wPLFQutxADAMB2vgcWKptbiIF9chsVANXC98BCsdxCDAAAQ+R7YKGyCVgAANjO98BCZROwAACwne+BhcpmEycAANjO98BCZbOJE7BPNnECoNo490ExbOIEAADAiCBgAQAASIKABQAAIAkCFgAAgCQIWAAAAJIgYAEAAEiCgAUAACAJAhYAAIAkCFgAAACSIGABAABIgoAFAAAgCQIWAACAJAhYAAAAklDKsiwreoj9kWVZpDUxpK9U+uhXnz0AqoVzHxSjVIoo7fgA7u791AIWAACA6uQWYgAAAJIgYAEAAEiCgAUAACAJAhYAAIAkCFgAAACSIGABAABIgoAFAAAgCQIWAACAJAhYAAAAkiBgAQAASIKABQAAIAkCFgAAgCQIWAAAAJJQW/QAQOXq6emJW2+9NV566aVYv359vPfee3HHHXdEa2tr0aMBwEHX2dkZDzzwQLzwwgvR09MTjY2NcdJJJ8Ull1wSLS0tRY8HhCuwwF68/vrr8fDDD8chhxwSU6dOLXocAMjVXXfdFW+//XbMmTMnli9fHldccUW8/fbbcfbZZ8e6deuKHg+IiFKWZVnRQwCVaXBwMGpqPvo51xNPPBHf//73XYEFYMTq7e2NpqamXV4bGBiImTNnxtSpU2PJkiUFTQbs4AossEc74hUAqsEn4zUiYuzYsXHkkUdGT09PARMBn+S/TgEAYA82bdoUr7zyShx77LFFjwKEgAUAgN3KsiwWLVoUg4ODceGFFxY9DhB2IQYAgN265ppr4oknnojFixfHMcccU/Q4QLgCCwAA/+H666+PFStWxMKFC6Otra3ocYDtBCwAAOzkxhtvjJtvvjkuv/zymD17dtHjADsRsAAAsN3SpUvjpptuiksvvTS+973vFT0O8AmegQX26tFHH42IiBdffDEiIp577rnYvHlz1NfXx4wZM4ocDQAOqhUrVsSSJUvi9NNPjy9/+cuxbt26j98bM2ZMHH/88cUNB0RERCnLsqzoIYDK1dLSstvXDz/88FizZk2ZpwGA/Jx//vnx7LPP7vY95z2oDAIWAACAJHgGFgAAgCQIWAAAAJIgYAEAAEiCgAUAACAJAhYAAIAkCFgAAACSIGABAABIgoAFAAAgCf8fAodmK7G3LXsAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.boxplot(data_scaled)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 23, "id": "86bdc3d8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kmeans = KMeans(n_clusters=2)\n", "clusters = kmeans.fit_predict(data_scaled)\n", "\n", "sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters, palette=\"tab10\")\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "f9e257a6", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Slideshow", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }