{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Zadanie 1\n", "Zapoznaj się z teorią algorytmu klastrowania K-means (klasyczny alogorytm w dziedzinie eksploracji danych (ang. data mining))) np. przez stronę metoda-k-średnich. Przestestuj jedną wybraną metrykę, inną niż euklidesowa - wykonaj obrazy pokazujące efekty jej działania." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do zwizualizowania działania klastrowania K-means potrzebne jest zdefiniowanie punktów reprezentujacych dane, punkty są tak losowane by widoczne było ich pogrupowane rozmieszczenie" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Generowanie losowych punktów danych\n", "np.random.seed(23)\n", "data = np.vstack([\n", " np.random.normal(loc=(2, 2), scale=0.6, size=(25, 2)),\n", " np.random.normal(loc=(5, 3), scale=0.8, size=(25, 2)),\n", " np.random.normal(loc=(5, 5), scale=0.7, size=(25, 2))\n", "])\n", "plt.figure(figsize=(8, 6))\n", "plt.scatter(data[:, 0], data[:, 1], c='b', label=f'dane')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Następnie trzeba zdefiniować centroidy od jakich zaczyna się algorytm klastrowania, wybieram 3 losowe punkty spośród danych:" ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k = 4\n", "startCentroids = data[np.random.choice(data.shape[0], k, replace=False)]\n", "\n", "plt.scatter(data[:, 0], data[:, 1], c='b', label=f'dane')\n", "plt.scatter(startCentroids[:, 0], startCentroids[:, 1], c='black', marker='X', s=100, label='Centroids')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mając wybrane centroidy należy zdefiniować funkcję odległości, zastosuję odległość Manhattan lub euklidesową" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [], "source": [ "# Funkcja obliczająca odległość euklidesową\n", "def euclidean_distance(point1, point2):\n", " return np.sqrt(np.sum((point1 - point2) ** 2))\n", "\n", "# Funkcja obliczająca odległość Manhattan\n", "def manhattan_distance(point1, point2):\n", " return np.sum(np.abs((point1 - point2)))\n", "\n", "# Funkcja obliczająca odległość euklidesową do kwadratu\n", "def euclidean2_distance(point1, point2):\n", " return np.sum((point1 - point2) ** 2)\n", "\n", "# Funkcja obliczająca odległość Minkowskiego dla m = 2\n", "def minkowski_distance(point1, point2):\n", " m = 2\n", " return np.sum(np.abs(point1 - point2) ** m) ** (1/m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Kolejnym etapem jest zdefiniowanie funkcji klastryzującej" ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [], "source": [ "# Funkcja algorytmu K-means\n", "def k_means(data, k, distance, centroids, max_iters=100):\n", " \n", " for _ in range(max_iters):\n", " clusters = [[] for _ in range(k)]\n", " \n", " for point in data:\n", " distances = [distance(point, centroid) for centroid in centroids]\n", " cluster_index = np.argmin(distances)\n", " clusters[cluster_index].append(point)\n", " \n", " new_centroids = np.array([np.mean(cluster, axis=0) if cluster else centroids[i]\n", " for i, cluster in enumerate(clusters)])\n", " \n", " if np.all(centroids == new_centroids):\n", " break\n", " \n", " centroids = new_centroids\n", "\n", " return clusters, centroids\n", "\n" ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "clusters, centroids = k_means(data, k, euclidean_distance, startCentroids)\n", "\n", "# Wizualizacja\n", "plt.figure(figsize=(8, 6))\n", "colors = ['r', 'g', 'b', 'y']\n", "for i, cluster in enumerate(clusters):\n", " cluster = np.array(cluster)\n", " plt.scatter(cluster[:, 0], cluster[:, 1], c=colors[i], label=f'Cluster {i+1}')\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c='black', marker='X', s=100, label='Centroids')\n", "plt.legend()\n", "plt.title(\"K-means Clustering Visualization, Euclidean\")\n", "plt.xlabel(\"X coordinate\")\n", "plt.ylabel(\"Y coordinate\")\n", "plt.show()\n", "\n", "\n", "clusters, centroids = k_means(data, k, euclidean2_distance, startCentroids)\n", "\n", "# Wizualizacja\n", "plt.figure(figsize=(8, 6))\n", "colors = ['r', 'g', 'b', 'y']\n", "for i, cluster in enumerate(clusters):\n", " cluster = np.array(cluster)\n", " plt.scatter(cluster[:, 0], cluster[:, 1], c=colors[i], label=f'Cluster {i+1}')\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c='black', marker='X', s=100, label='Centroids')\n", "plt.legend()\n", "plt.title(\"K-means Clustering Visualization, Euclidean^2\")\n", "plt.xlabel(\"X coordinate\")\n", "plt.ylabel(\"Y coordinate\")\n", "plt.show()\n", "\n", "\n", "clusters, centroids = k_means(data, k, manhattan_distance, startCentroids)\n", "\n", "# Wizualizacja\n", "plt.figure(figsize=(8, 6))\n", "colors = ['r', 'g', 'b', 'y']\n", "for i, cluster in enumerate(clusters):\n", " cluster = np.array(cluster)\n", " plt.scatter(cluster[:, 0], cluster[:, 1], c=colors[i], label=f'Cluster {i+1}')\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c='black', marker='X', s=100, label='Centroids')\n", "plt.legend()\n", "plt.title(\"K-means Clustering Visualization, Manhattan\")\n", "plt.xlabel(\"X coordinate\")\n", "plt.ylabel(\"Y coordinate\")\n", "plt.show()\n", "\n", "\n", "clusters, centroids = k_means(data, k, minkowski_distance, startCentroids)\n", "\n", "# Wizualizacja\n", "plt.figure(figsize=(8, 6))\n", "colors = ['r', 'g', 'b', 'y']\n", "for i, cluster in enumerate(clusters):\n", " cluster = np.array(cluster)\n", " plt.scatter(cluster[:, 0], cluster[:, 1], c=colors[i], label=f'Cluster {i+1}')\n", "plt.scatter(centroids[:, 0], centroids[:, 1], c='black', marker='X', s=100, label='Centroids')\n", "plt.legend()\n", "plt.title(\"K-means Clustering Visualization, Minkowski\")\n", "plt.xlabel(\"X coordinate\")\n", "plt.ylabel(\"Y coordinate\")\n", "plt.show()\n" ] } ], "metadata": { "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": "3.13.0" } }, "nbformat": 4, "nbformat_minor": 4 }