{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn import datasets\n", "from sklearn.metrics.pairwise import euclidean_distances\n", "\n", "X,y = datasets.make_blobs(n_samples=100, centers = 4, random_state = 1 )\n", "\n", "plt.scatter (X[:,0], X[:,1])\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.cluster.hierarchy import linkage, dendrogram, fcluster\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", " \n", "\n", "# Реализация иерархической кластеризации при помощи функции linkage\n", "\n", "mergings = linkage(X, method='ward')\n", " \n", "# Строим дендрограмму, указав параметры удобные для отображения\n", "\n", "plt.figure(figsize=(15, 10))\n", "dendrogram(mergings)\n", "plt.show()\n", " \n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[2 3 2 3 1 1 4 4 4 2 4 4 3 4 2 4 4 2 1 1 2 2 2 3 1 4 4 2 3 1 1 2 1 3 2 1 2\n", " 4 3 2 2 4 4 3 2 1 2 3 2 1 3 1 1 3 4 2 1 1 2 3 4 1 3 3 4 2 4 3 4 1 3 2 2 4\n", " 3 1 3 2 4 1 3 2 2 2 4 1 1 1 1 3 1 4 1 3 3 2 4 4 3 4]\n" ] } ], "source": [ "T = fcluster(mergings, 10, 'distance') # distance or maxclust\n", "print (T)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 10))\n", "plt.scatter (X[:,0], X[:,1], c=T)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def update_cluster_centers(X, c):\n", " ix = np.where(c==1)\n", " mu[0,:] = np.mean(X[ix,:], axis=1)\n", " ix = np.where(c==2)\n", " mu[1,:] = np.mean(X[ix,:], axis=1)\n", " ix = np.where(c==3)\n", " mu[2,:] = np.mean(X[ix,:], axis=1)\n", " ix = np.where(c==4)\n", " mu[3,:] = np.mean(X[ix,:], axis=1)\n", " return mu" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-1.56129966 4.21898437]\n", " [-7.07614521 -7.97322589]\n", " [-9.96347347 -3.48454825]\n", " [-5.80277079 -3.06555518]]\n" ] } ], "source": [ "mu = np.array([[0.0,0], [0,0], [0,0], [0,0]])\n", "mu = update_cluster_centers(X, T)\n", "print(mu)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (10,10))\n", "plt.scatter (X[:,0], X[:,1], c=T)\n", "plt.scatter(mu[:,0],mu[:,1], c = 'red', marker = 'o')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0 custer dist: [[43.11598405]]\n", "1 custer dist: [[67.14489804]]\n", "2 custer dist: [[16.25475117]]\n", "3 custer dist: [[38.36151505]]\n", "Summary of squared cluster dist: [[164.87714831]]\n", "Mean summary of squared cluster dist: [[41.21928708]]\n" ] } ], "source": [ "#Сумма квадратов расстояний до центроида\n", "\n", "cluster_dist=0\n", "for j in range(0, np.shape(mu)[0]):\n", " summ = 0\n", " obj = np.where(T==j+1)\n", " for i in range(0, np.shape(obj)[1]):\n", " #print(euclidean_distances(mu[j].reshape(1,-1), X[obj[0][i],:].reshape(1,-1)))\n", " summ = summ + (euclidean_distances(mu[j].reshape(1,-1), X[obj[0][i],:].reshape(1,-1)))**2\n", " if(summ>0):\n", " summ = summ\n", " cluster_dist = cluster_dist + summ\n", " print(j,' custer dist: ', summ)\n", "print (\"Summary of squared cluster dist: \", cluster_dist)\n", "\n", "print (\"Mean summary of squared cluster dist: \", cluster_dist / np.shape(mu)[0])\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# K-means" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import KMeans" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[2 0 2 0 1 1 0 0 0 2 0 0 0 0 2 0 0 2 1 1 2 2 2 0 1 0 0 2 0 1 1 2 1 0 2 1 2\n", " 0 0 2 2 0 0 0 2 1 2 0 2 1 0 1 1 0 0 2 1 1 2 0 0 1 0 0 0 2 0 0 0 1 0 2 2 0\n", " 0 1 0 2 0 1 0 0 2 0 0 1 1 1 1 0 1 0 1 0 0 2 0 0 0 0]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: 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", " warnings.warn(\n" ] } ], "source": [ "model = KMeans(n_clusters=3)\n", "model.fit(X)\n", "all_predictions = model.predict(X)\n", "print (all_predictions)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter (X[:,0], X[:,1], c=all_predictions)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sum of squared distances of samples to their closest cluster center.: 369.5556880065657\n" ] } ], "source": [ "print('Sum of squared distances of samples to their closest cluster center.:', model.inertia_)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[3015.7692276196085, 766.1594927527818, 369.5556880065657, 158.76686919578418, 136.07776106430828, 119.41082903949317, 102.06541733084515, 90.40896447881985, 79.46925530063092]\n" ] } ], "source": [ "inertia = []\n", "for k in range(1,10):\n", " kmeans = KMeans(n_clusters=k, random_state=1, n_init=10).fit(X)\n", " inertia.append((kmeans.inertia_))\n", "print (inertia)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "plt.plot(range (1,10), inertia, marker='s')\n", "\n", "plt.show" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kmeans = KMeans(n_clusters=4, random_state=1, n_init=10).fit(X)\n", "plt.scatter (X[:,0], X[:,1], c=kmeans.predict(X))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import DBSCAN" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Estimated number of clusters: 0\n", "Estimated number of noise points: 100\n" ] }, { "data": { "text/plain": [ "array([-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,\n", " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,\n", " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,\n", " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,\n", " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,\n", " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1],\n", " dtype=int64)" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "db = DBSCAN(eps=0.3, min_samples=10).fit(X)\n", "labels = db.labels_\n", "n_clusters_ = len(set(labels)) - (1 if -1 in labels else 0)\n", "n_noise_ = list(labels).count(-1)\n", "\n", "print(\"Estimated number of clusters: %d\" % n_clusters_)\n", "print(\"Estimated number of noise points: %d\" % n_noise_)\n", "labels" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter (X[:,0], X[:,1], c=labels)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 2 }