{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "Support Vector Machines Workshop.ipynb", "provenance": [], "collapsed_sections": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "markdown", "source": [ "# Support Vector Machines \n", "\n", "(This notebook was created for a workshop at RV College of Engineering on 6th Sep 2021)\n", "\n", "- Support vector machine(SVM) belongs to the supervised learning class, and can be used for both regression and classification purposes. \n", "- The support vector machine's main intent is to create a line, or a hyperplane(decision boundary), that can separate data points in an n-dimensional space to classify further data points into one of the classes determined.\n", "- The hyperplanes are created due to the SVM selecting the closest points. These close points are known as support vectors, and that is where the name of support vector machines originates from. The whole SVM algorithm can be visualized as - \n", "\n", "![image.png](data:image/png;base64,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)" ], "metadata": { "id": "QpROp4WgrIoq" } }, { "cell_type": "markdown", "source": [ "## Linear SVM" ], "metadata": { "id": "KpfWJwhasN3g" } }, { "cell_type": "markdown", "source": [ "- Consider this separation of classes. Fairly straightforward to separate using a 2D line" ], "metadata": { "id": "5xdbwFLLsdTj" } }, { "cell_type": "markdown", "source": [ 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)" ], "metadata": { "id": "VX6z1N1Xsbhc" } }, { "cell_type": "markdown", "source": [ "- One possible set of lines - \n", "\n", 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)" ], "metadata": { "id": "LKrMifwOsrKL" } }, { "cell_type": "markdown", "source": [ "- The algorithm finds the points closest to the hyperplane.\n", "- The distance between the points and the hyperplane is known as the margin\n", "- The goal is to maximise this margin.\n", "- Therefore, the green line where there's the highest margin is the hyperplane - for classification.\n", "\n", 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], "metadata": { "id": "nK_qMCkXs96W" } }, { "cell_type": "code", "execution_count": null, "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "from sklearn.svm import *\n", "from sklearn.metrics import accuracy_score\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.metrics import confusion_matrix # this creates a confusion matrix\n", "from sklearn.metrics import plot_confusion_matrix # draws a confusion matrix\n", "from sklearn import datasets" ], "outputs": [], "metadata": { "id": "tzqUEOp5qcWq" } }, { "cell_type": "code", "execution_count": null, "source": [ "dir(datasets)" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "['__all__',\n", " '__builtins__',\n", " '__cached__',\n", " '__doc__',\n", " '__file__',\n", " '__loader__',\n", " '__name__',\n", " '__package__',\n", " '__path__',\n", " '__spec__',\n", " '_base',\n", " '_california_housing',\n", " '_covtype',\n", " '_kddcup99',\n", " '_lfw',\n", " '_olivetti_faces',\n", " '_openml',\n", " '_rcv1',\n", " '_samples_generator',\n", " '_species_distributions',\n", " '_svmlight_format_fast',\n", " '_svmlight_format_io',\n", " '_twenty_newsgroups',\n", " 'clear_data_home',\n", " 'dump_svmlight_file',\n", " 'fetch_20newsgroups',\n", " 'fetch_20newsgroups_vectorized',\n", " 'fetch_california_housing',\n", " 'fetch_covtype',\n", " 'fetch_kddcup99',\n", " 'fetch_lfw_pairs',\n", " 'fetch_lfw_people',\n", " 'fetch_olivetti_faces',\n", " 'fetch_openml',\n", " 'fetch_rcv1',\n", " 'fetch_species_distributions',\n", " 'get_data_home',\n", " 'load_boston',\n", " 'load_breast_cancer',\n", " 'load_diabetes',\n", " 'load_digits',\n", " 'load_files',\n", " 'load_iris',\n", " 'load_linnerud',\n", " 'load_sample_image',\n", " 'load_sample_images',\n", " 'load_svmlight_file',\n", " 'load_svmlight_files',\n", " 'load_wine',\n", " 'make_biclusters',\n", " 'make_blobs',\n", " 'make_checkerboard',\n", " 'make_circles',\n", " 'make_classification',\n", " 'make_friedman1',\n", " 'make_friedman2',\n", " 'make_friedman3',\n", " 'make_gaussian_quantiles',\n", " 'make_hastie_10_2',\n", " 'make_low_rank_matrix',\n", " 'make_moons',\n", " 'make_multilabel_classification',\n", " 'make_regression',\n", " 'make_s_curve',\n", " 'make_sparse_coded_signal',\n", " 'make_sparse_spd_matrix',\n", " 'make_sparse_uncorrelated',\n", " 'make_spd_matrix',\n", " 'make_swiss_roll']" ] }, "metadata": {}, "execution_count": 9 } ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "gzvfzI5SgXcl", "outputId": "0abf2eab-a4e6-4f31-c6e9-6fd613ba3297" } }, { "cell_type": "code", "execution_count": null, "source": [ "# load iris dataset\n", "iris = datasets.load_iris()\n", "iris_df=pd.DataFrame(iris.data)\n", "iris_df['class']=iris.target\n", "\n", "iris_df.columns=['sepal_len', 'sepal_wid', 'petal_len', 'petal_wid', 'class']\n", "iris_df" ], "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "
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150 rows × 5 columns

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" ], "text/plain": [ " sepal_len sepal_wid petal_len petal_wid class\n", "0 5.1 3.5 1.4 0.2 0\n", "1 4.9 3.0 1.4 0.2 0\n", "2 4.7 3.2 1.3 0.2 0\n", "3 4.6 3.1 1.5 0.2 0\n", "4 5.0 3.6 1.4 0.2 0\n", ".. ... ... ... ... ...\n", "145 6.7 3.0 5.2 2.3 2\n", "146 6.3 2.5 5.0 1.9 2\n", "147 6.5 3.0 5.2 2.0 2\n", "148 6.2 3.4 5.4 2.3 2\n", "149 5.9 3.0 5.1 1.8 2\n", "\n", "[150 rows x 5 columns]" ] }, "metadata": {}, "execution_count": 10 } ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 417 }, "id": "L5tOZb95tlQx", "outputId": "b94f967e-fa5f-486b-ebc0-1893d6914abe" } }, { "cell_type": "code", "execution_count": null, "source": [ "X = iris_df.drop(columns=['class'])\n", "y = iris_df['class']\n", "X_train, X_test, y_train, y_test= train_test_split(X, y, test_size= 0.30, random_state=0) " ], "outputs": [], "metadata": { "id": "j7YT3T5_tuXx" } }, { "cell_type": "code", "execution_count": null, "source": [ "dir()" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "['In',\n", " 'LinearSVC',\n", " 'LinearSVR',\n", " 'NuSVC',\n", " 'NuSVR',\n", " 'OneClassSVM',\n", " 'Out',\n", " 'SVC',\n", " 'SVR',\n", " 'X',\n", " 'X_test',\n", " 'X_train',\n", " '_',\n", " '_10',\n", " '_2',\n", " '_5',\n", " '_9',\n", " '__',\n", " '___',\n", " '__builtin__',\n", " '__builtins__',\n", " '__doc__',\n", " '__loader__',\n", " '__name__',\n", " '__package__',\n", " '__spec__',\n", " '_dh',\n", " '_i',\n", " '_i1',\n", " '_i10',\n", " '_i11',\n", " '_i12',\n", " '_i13',\n", " '_i14',\n", " '_i15',\n", " '_i16',\n", " '_i2',\n", " '_i3',\n", " '_i4',\n", " '_i5',\n", " '_i6',\n", " '_i7',\n", " '_i8',\n", " '_i9',\n", " '_ih',\n", " '_ii',\n", " '_iii',\n", " '_oh',\n", " '_sh',\n", " 'accuracy_score',\n", " 'confusion_matrix',\n", " 'datasets',\n", " 'exit',\n", " 'get_ipython',\n", " 'iris',\n", " 'iris_df',\n", " 'l1_min_c',\n", " 'pd',\n", " 'plot_confusion_matrix',\n", " 'plt',\n", " 'quit',\n", " 'train_test_split',\n", " 'y',\n", " 'y_test',\n", " 'y_train']" ] }, "metadata": {}, "execution_count": 16 } ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "YFcjfTvujhmF", "outputId": "1321b455-89ce-4d7d-da65-2012bc5d9456" } }, { "cell_type": "code", "execution_count": null, "source": [ "svm = LinearSVC()\n", "svm.fit(X_train,y_train)\n", "svm_pred = svm.predict(X_test)" ], "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "/usr/local/lib/python3.7/dist-packages/sklearn/svm/_base.py:947: ConvergenceWarning: Liblinear failed to converge, increase the number of iterations.\n", " \"the number of iterations.\", ConvergenceWarning)\n" ] } ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "en7rcvu8tyPg", "outputId": "eb03c40b-fff4-431a-b654-4f8c0c4fe961" } }, { "cell_type": "code", "execution_count": null, "source": [ "accuracy_score(y_test,svm_pred)\n" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "0.9333333333333333" ] }, "metadata": {}, "execution_count": 28 } ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "aAwqwfA3umy2", "outputId": "2234bfc4-4599-403d-e266-bbb8a91f5657" } }, { "cell_type": "code", "execution_count": null, "source": [ "plot_confusion_matrix(svm, X_test, y_test, display_labels=[\"c1\",\"c2\",\"c3\"])" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 29 }, { "output_type": "display_data", "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" } } ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 300 }, "id": "0CsHKi-hup-l", "outputId": "73d0bdac-d97a-4ef7-a8fc-f9c7a3e349eb" } }, { "cell_type": "code", "execution_count": null, "source": [ "iris_df[\"class\"].unique()" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([0, 1, 2])" ] }, "metadata": {}, "execution_count": 33 } ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "mqeobwXrvFX9", "outputId": "ac345294-e6f8-4442-f33d-c3082a6529e0" } }, { "cell_type": "markdown", "source": [ "## Terms : \n", "\n", "- Kernelling\n", "- Maximum Margin\n", "- Hyperplane\n" ], "metadata": { "id": "heTmyEeyyMIQ" } }, { "cell_type": "markdown", "source": [ "## References\n", "\n", "- https://web.mit.edu/6.034/wwwbob/svm.pdf\n", "- https://www.newtechdojo.com/understanding-support-vector-machines-svm/\n", "- https://archive.ics.uci.edu/ml/index.php\n", "- https://en.wikipedia.org/wiki/Support-vector_machine\n", "- https://scikit-learn.org/stable/auto_examples/datasets/plot_iris_dataset.html\n", "- https://georgemdallas.wordpress.com/2013/10/30/principal-component-analysis-4-dummies-eigenvectors-eigenvalues-and-dimension-reduction/\n", "- https://github.com/iterative/dvc\n", "- https://mlflow.org/" ], "metadata": { "id": "975L1vazwTHz" } }, { "cell_type": "code", "execution_count": null, "source": [ "" ], "outputs": [], "metadata": { "id": "7B1ewPNloMrJ" } } ] }