{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "988e3328-8a7a-4ba5-8982-62efb4a8928f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " sepal length (cm) sepal width (cm) petal length (cm) petal width (cm)\n", "0 5.1 3.5 1.4 0.2\n", "1 4.9 3.0 1.4 0.2\n", "2 4.7 3.2 1.3 0.2\n", "3 4.6 3.1 1.5 0.2\n", "4 5.0 3.6 1.4 0.2\n", ".. ... ... ... ...\n", "145 6.7 3.0 5.2 2.3\n", "146 6.3 2.5 5.0 1.9\n", "147 6.5 3.0 5.2 2.0\n", "148 6.2 3.4 5.4 2.3\n", "149 5.9 3.0 5.1 1.8\n", "\n", "[150 rows x 4 columns]\n", "\n", "Target values:\n", "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 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 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2\n", " 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n", " 2 2]\n" ] } ], "source": [ "# Goal: Perform a PCA for 1D, 2D and 3D on the IRIS dataset and compare their accuracy for the KNeighborsClassifier\n", "\n", "# Import libraries\n", "import numpy as np\n", "from sklearn.datasets import load_iris # Iris dataset\n", "import pandas as pd \n", "import matplotlib.pyplot as plt\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.decomposition import PCA\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.neighbors import KNeighborsClassifier\n", "from sklearn import metrics\n", "\n", "# Load data\n", "Iris_data = load_iris()\n", "X = Iris_data[\"data\"]\n", "Y = Iris_data[\"target\"]\n", "\n", "# Print formatted data \n", "Formatted_X = pd.DataFrame(X, columns = Iris_data.feature_names)\n", "print(Formatted_X)\n", "\n", "print(\"\") #Empty line\n", "print(\"Target values:\")\n", "print(Y)" ] }, { "cell_type": "code", "execution_count": 2, "id": "dd40e8fa-1fdc-4b2a-917b-05ca81456d9e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " sepal length (cm) sepal width (cm) petal length (cm) petal width (cm)\n", "0 -0.900681 1.019004 -1.340227 -1.315444\n", "1 -1.143017 -0.131979 -1.340227 -1.315444\n", "2 -1.385353 0.328414 -1.397064 -1.315444\n", "3 -1.506521 0.098217 -1.283389 -1.315444\n", "4 -1.021849 1.249201 -1.340227 -1.315444\n", ".. ... ... ... ...\n", "145 1.038005 -0.131979 0.819596 1.448832\n", "146 0.553333 -1.282963 0.705921 0.922303\n", "147 0.795669 -0.131979 0.819596 1.053935\n", "148 0.432165 0.788808 0.933271 1.448832\n", "149 0.068662 -0.131979 0.762758 0.790671\n", "\n", "[150 rows x 4 columns]\n" ] } ], "source": [ "# Scale the data, center around mean, divide by standard deviation\n", "scaler = StandardScaler()\n", "X_centered = scaler.fit_transform(X)\n", "\n", "Formatted_X_centered = pd.DataFrame(X_centered, columns = Iris_data.feature_names)\n", "print(Formatted_X_centered)" ] }, { "cell_type": "code", "execution_count": 3, "id": "73a3d1e2-13fc-468c-8fd3-96a0fa503f79", "metadata": {}, "outputs": [], "source": [ "# Perform PCA Analysis, dimensionality reduction of the data by projecting it to a lower dimensional space.\n", "# Use three different approaches for comparison: Projection to 1, 2 and 3 dimensions\n", "\n", "# Initalise projectors\n", "pca_1 = PCA(n_components = 1)\n", "pca_2 = PCA(n_components = 2)\n", "pca_3 = PCA(n_components = 3)\n", "\n", "# Project the data\n", "X_pca_1 = pca_1.fit_transform(X_centered)\n", "X_pca_2 = pca_2.fit_transform(X_centered)\n", "X_pca_3 = pca_3.fit_transform(X_centered)" ] }, { "cell_type": "code", "execution_count": 4, "id": "0545beeb-de87-4785-b37d-e54f31cc6601", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Each of the axis shown above corresponds to a row of the Projection matrix P and therefore to an eigenvector of XX^T\n" ] } ], "source": [ "# Plot the results for 3D\n", "figure = plt.figure(1, figsize = (12, 7.5))\n", "ax = figure.add_subplot(111, projection = \"3d\")\n", "ax.scatter(X_pca_3.T[0], X_pca_3.T[1], X_pca_3.T[2], c = Y)\n", "ax.set_xlabel(\"X-Axis\")\n", "ax.set_ylabel(\"Y-Axis\")\n", "ax.set_zlabel(\"Z-Axis\")\n", "plt.show()\n", "plt.close()\n", "\n", "print(\"Each of the axis shown above corresponds to a row of the Projection matrix P and therefore to an eigenvector of XX^T\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "522ff6d3-a52f-49c6-b817-195315a3fc42", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the results for 2D\n", "figure = plt.figure(1, figsize = (12, 7.5))\n", "ax = figure.add_subplot(121)\n", "ax.scatter(X_pca_2.T[0], X_pca_2.T[1], c = Y)\n", "ax.set_xlabel(\"X-Axis\")\n", "ax.set_ylabel(\"Y-Axis\")\n", "plt.show()\n", "plt.close()" ] }, { "cell_type": "code", "execution_count": 6, "id": "6c68c559-3175-4d5d-9423-779c23951e02", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the results for 1D\n", "figure = plt.figure(1, figsize = (12, 7.5))\n", "ax = figure.add_subplot(121)\n", "ax.scatter(X_pca_1.T[0], X_pca_1.T[0], c = Y)\n", "ax.set_xlabel(\"X-Axis\")\n", "ax.set_ylabel(\"Y-Axis\")\n", "plt.show()\n", "plt.close()" ] }, { "cell_type": "code", "execution_count": 7, "id": "727a99c1-1282-4d0e-9f66-ab53e6ee7192", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Without_PCA: Accuracy: 1.0\n", "With PCA in 1D: Accuracy: 0.9473684210526315\n", "With PCA in 2D: Accuracy: 0.8947368421052632\n", "With PCA in 3D: Accuracy: 0.9210526315789473\n" ] } ], "source": [ "# Compare training results with and without PCA for KNeighborsClassifier\n", "\n", "# Prepare the data for training\n", "X_train_without_pca, X_test_without_pca, Y_train_without_pca, Y_test_without_pca = train_test_split(X_centered, Y, test_size = 0.25)\n", "X_train_pca_1, X_test_pca_1, Y_train_pca_1, Y_test_pca_1 = train_test_split(X_pca_1, Y, test_size = 0.25)\n", "X_train_pca_2, X_test_pca_2, Y_train_pca_2, Y_test_pca_2 = train_test_split(X_pca_2, Y, test_size = 0.25)\n", "X_train_pca_3, X_test_pca_3, Y_train_pca_3, Y_test_pca_3 = train_test_split(X_pca_3, Y, test_size = 0.25)\n", "\n", "# Set classifiers\n", "clf_without_pca = KNeighborsClassifier()\n", "clf_pca_1 = KNeighborsClassifier()\n", "clf_pca_2 = KNeighborsClassifier()\n", "clf_pca_3 = KNeighborsClassifier()\n", "\n", "# Train classifier\n", "clf_without_pca.fit(X_train_without_pca,Y_train_without_pca)\n", "clf_pca_1.fit(X_train_pca_1,Y_train_pca_1)\n", "clf_pca_2.fit(X_train_pca_2,Y_train_pca_2)\n", "clf_pca_3.fit(X_train_pca_3,Y_train_pca_3)\n", "\n", "# Perform predictions\n", "y_pred_without_pca = clf_without_pca.predict(X_test_without_pca)\n", "y_pred_pca_1 = clf_pca_1.predict(X_test_pca_1)\n", "y_pred_pca_2 = clf_pca_2.predict(X_test_pca_2)\n", "y_pred_pca_3 = clf_pca_3.predict(X_test_pca_3)\n", "\n", "# Investigate accuracy\n", "accuracy_without_pca = metrics.accuracy_score(y_pred_without_pca, Y_test_without_pca)\n", "accuracy_pca_1 = metrics.accuracy_score(y_pred_pca_1, Y_test_pca_1)\n", "accuracy_pca_2 = metrics.accuracy_score(y_pred_pca_2, Y_test_pca_2)\n", "accuracy_pca_3 = metrics.accuracy_score(y_pred_pca_3, Y_test_pca_3)\n", "\n", "\n", "# Print results\n", "print(\"Without_PCA: Accuracy: \", accuracy_without_pca)\n", "print(\"With PCA in 1D: Accuracy: \", accuracy_pca_1)\n", "print(\"With PCA in 2D: Accuracy: \", accuracy_pca_2)\n", "print(\"With PCA in 3D: Accuracy: \", accuracy_pca_3)" ] }, { "cell_type": "code", "execution_count": null, "id": "db0c4678-56c6-4005-9a32-84a199b8fc3c", "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": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 5 }