{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "IMPORT LIBRARIES" ] }, { "cell_type": "code", "execution_count": 669, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "from sklearn.datasets import load_digits\n", "from sklearn.decomposition import PCA\n", "from sklearn.preprocessing import scale\n", "from sklearn.model_selection import train_test_split \n", "from sklearn.cluster import KMeans\n", "from sklearn import metrics\n", "from sklearn.metrics import confusion_matrix\n", "from matplotlib import pyplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PART 1. Principal Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. Load Data" ] }, { "cell_type": "code", "execution_count": 670, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(#samples, #dimension of each sample) = (1797, 64)\n" ] } ], "source": [ "DigitData =load_digits()\n", "print(f'(#samples, #dimension of each sample) = {DigitData.data.shape}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2. Visualize some data before using PCA" ] }, { "cell_type": "code", "execution_count": 671, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set the colormap to gray\n", "plt.gray() \n", "\n", "# Create a figure with 1 row and 11 columns\n", "fig, axes = plt.subplots(1, 11, figsize=(12, 4)) # Adjust figsize as needed\n", "\n", "# Plot first 11 data\n", "for i in range(11):\n", " axes[i].matshow(DigitData.data[i].reshape(8, 8))\n", " axes[i].set_title(f\"Data #{i + 1}\") \n", " axes[i].axis(\"off\") \n", "\n", "# Adjust layout to make sure titles and plots fit well\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3. Using PCA to reduce the dimension" ] }, { "cell_type": "code", "execution_count": 672, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " pixel_0_0 pixel_0_1 pixel_0_2 pixel_0_3 pixel_0_4 pixel_0_5 \\\n", "0 0.0 0.0 5.0 13.0 9.0 1.0 \n", "1 0.0 0.0 0.0 12.0 13.0 5.0 \n", "2 0.0 0.0 0.0 4.0 15.0 12.0 \n", "3 0.0 0.0 7.0 15.0 13.0 1.0 \n", "4 0.0 0.0 0.0 1.0 11.0 0.0 \n", "\n", " pixel_0_6 pixel_0_7 pixel_1_0 pixel_1_1 ... pixel_6_6 pixel_6_7 \\\n", "0 0.0 0.0 0.0 0.0 ... 0.0 0.0 \n", "1 0.0 0.0 0.0 0.0 ... 0.0 0.0 \n", "2 0.0 0.0 0.0 0.0 ... 5.0 0.0 \n", "3 0.0 0.0 0.0 8.0 ... 9.0 0.0 \n", "4 0.0 0.0 0.0 0.0 ... 0.0 0.0 \n", "\n", " pixel_7_0 pixel_7_1 pixel_7_2 pixel_7_3 pixel_7_4 pixel_7_5 \\\n", "0 0.0 0.0 6.0 13.0 10.0 0.0 \n", "1 0.0 0.0 0.0 11.0 16.0 10.0 \n", "2 0.0 0.0 0.0 3.0 11.0 16.0 \n", "3 0.0 0.0 7.0 13.0 13.0 9.0 \n", "4 0.0 0.0 0.0 2.0 16.0 4.0 \n", "\n", " pixel_7_6 pixel_7_7 \n", "0 0.0 0.0 \n", "1 0.0 0.0 \n", "2 9.0 0.0 \n", "3 0.0 0.0 \n", "4 0.0 0.0 \n", "\n", "[5 rows x 64 columns]" ] }, "execution_count": 672, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.DataFrame(DigitData.data, columns=DigitData.feature_names)\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 673, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Eigen vector = [0.14890594 0.13618771]\n", "The total percentage of useful information = 0.2850936482369123\n" ] } ], "source": [ "# Collect 2 dimensions that contain most % of useful data\n", "pca = PCA(n_components=2) \n", "less_dimension_data = pca.fit_transform(df)\n", "\n", "# Show eigen values (or how many % each new dimension captures useful information)\n", "print(f'Eigen vector = {pca.explained_variance_ratio_}') \n", "\n", "# Show the total percentage useful information that new data capture\n", "print(f'The total percentage of useful information = {sum(pca.explained_variance_ratio_)}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Question 1: What do you observe? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Answer: \n", "Before using PCA, several features of original data capture less meaningful information. \n", "For example, the values of pixel_0_0, pixel_0_1, pixel_6_7, pixel_7_0, pixel_7_1 contain nothing but 0.\n", "Therefore, we want to not include those data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Question 2: What is the percentage of variance captured by these two components? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Answer:\n", "If we reduce the dimension to 2 components, the total percentage of useful information is just 28.5%.\n", "In fact, we want to capture more data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Question 3: Is it sufficient or we should find more components?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Answer: No, we want to capture much more data, let's say we want to capture 95% of useful data.\n", "In the following we are going to show how we achieve that number." ] }, { "cell_type": "code", "execution_count": 674, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Eigen vector = [0.14890594 0.13618771 0.11794594 0.08409979 0.05782415 0.0491691\n", " 0.04315987 0.03661373 0.03353248 0.03078806 0.02372341 0.02272697\n", " 0.01821863 0.01773855 0.01467101 0.01409716 0.01318589 0.01248138\n", " 0.01017718 0.00905617 0.00889538 0.00797123 0.00767493 0.00722904\n", " 0.00695889 0.00596081 0.00575615 0.00515158 0.0048954 ]\n", "The total percentage of useful information = 0.9547965245651597\n" ] } ], "source": [ "# Select new dimension such that we capture 95% of useful data\n", "pca = PCA(0.95) \n", "less_dimension_data = pca.fit_transform(df)\n", "\n", "# Show eigen values (or how many % each new dimension captures useful information)\n", "print(f'Eigen vector = {pca.explained_variance_ratio_}') \n", "\n", "# Show the total percentage useful information that new data capture\n", "print(f'The total percentage of useful information = {sum(pca.explained_variance_ratio_)}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PART 2. K-mean Clustering" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. Load data" ] }, { "cell_type": "code", "execution_count": 675, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(#samples, #dimension of each sample) = (1797, 64)\n" ] } ], "source": [ "digits = load_digits()\n", "print(f'(#samples, #dimension of each sample) = {digits.data.shape}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2. Preprocess the digits dataset" ] }, { "cell_type": "code", "execution_count": 676, "metadata": {}, "outputs": [], "source": [ "data = scale(digits.data)\n", "labels = digits.target\n", "images = digits.images" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3. Visualize some digits with labels" ] }, { "cell_type": "code", "execution_count": 677, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, 5, figsize=(10, 5))\n", "for ax, image, label in zip(axes.ravel(), images[:10], labels[:10]):\n", " ax.imshow(image, cmap='gray')\n", " ax.set_title(f'Label: {label}')\n", " ax.axis('off')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "4. Apply PCA to reduce the dimensions to 2" ] }, { "cell_type": "code", "execution_count": 678, "metadata": {}, "outputs": [], "source": [ "pca = PCA(n_components=2)\n", "data_pca = pca.fit_transform(data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "5. Visualize the Data on its principal components" ] }, { "cell_type": "code", "execution_count": 679, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "scatter = plt.scatter(data_pca[:, 0], data_pca[:, 1], c=labels, cmap='tab10', alpha=0.6)\n", "plt.colorbar(scatter, label=\"Digit Label\")\n", "plt.xlabel(\"First Principal Component\")\n", "plt.ylabel(\"Second Principal Component\")\n", "plt.title(\"PCA of Digits Dataset\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "6. Split data into training and test sets" ] }, { "cell_type": "code", "execution_count": 680, "metadata": {}, "outputs": [], "source": [ "X_train, X_test, y_train, y_test = train_test_split(data, labels, test_size=0.2, random_state=42)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "7. Perform K-mean cluster" ] }, { "cell_type": "code", "execution_count": 681, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The corresponding predicted clusters that each objects in X_test belongs to is show as below: \n", " [4 1 1 7 3 5 3 1 3 3 3 8 2 0 2 3 1 6 1 3 2 1 1 6 3 4 1 3 4 1 2 1 5 2 2 4 1\n", " 2 6 4 4 1 3 1 4 8 1 0 4 1 6 3 1 3 4 0 1 0 0 8 0 2 8 3 2 1 6 0 6 1 1 1 1 6\n", " 6 0 2 3 1 1 1 0 3 1 1 0 4 2 2 1 8 5 8 1 1 5 1 0 2 2 2 1 1 1 8 6 3 8 2 5 6\n", " 6 2 2 8 1 6 6 1 6 3 4 1 2 0 6 3 6 3 8 3 1 6 8 0 4 4 2 5 3 0 1 2 4 1 8 4 1\n", " 0 1 1 4 4 0 4 2 5 1 1 3 6 3 1 0 2 3 3 4 6 6 1 3 2 3 3 1 6 6 3 3 1 1 1 0 1\n", " 3 5 3 4 1 1 2 3 3 7 3 1 4 2 3 1 1 1 6 3 1 2 1 3 3 2 2 1 4 3 1 4 0 2 3 3 6\n", " 8 4 2 3 4 0 1 3 1 4 6 8 1 5 2 6 4 3 3 1 3 8 0 5 3 3 6 3 6 4 3 3 5 1 2 1 3\n", " 1 4 0 1 3 6 0 3 0 2 1 3 3 1 4 0 2 5 0 0 1 4 1 1 6 1 6 1 1 1 3 3 1 1 8 0 3\n", " 4 1 2 0 5 2 4 2 1 2 1 0 1 3 5 1 8 2 3 8 6 0 3 3 3 3 3 8 6 0 4 2 3 8 1 3 3\n", " 2 3 3 7 1 3 4 0 4 3 0 7 1 3 1 3 5 6 6 8 1 6 2 1 6 1 1]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "c:\\Users\\ADMIN\\anaconda3\\Lib\\site-packages\\sklearn\\cluster\\_kmeans.py:1446: UserWarning: KMeans is known to have a memory leak on Windows with MKL, when there are less chunks than available threads. You can avoid it by setting the environment variable OMP_NUM_THREADS=6.\n", " warnings.warn(\n" ] } ], "source": [ "# Perform KMeans clustering\n", "kmean = KMeans(init='k-means++',n_clusters=10,random_state=0)\n", "kmean.fit(X_train)\n", "y_pred = kmean.predict(X_test)\n", "print(f'The corresponding predicted clusters that each objects in X_test belongs to is show as below: \\n {y_pred}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "8. Show confusion matrix" ] }, { "cell_type": "code", "execution_count": 682, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "conf_matrix = confusion_matrix(y_test, y_pred)\n", "plt.figure(figsize=(10, 8))\n", "sns.heatmap(conf_matrix, annot=True, fmt='d', cmap='Blues')\n", "plt.xlabel(\"Predicted Labels\")\n", "plt.ylabel(\"True Labels\")\n", "plt.title(\"Confusion Matrix\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 2 }