Module_5_Lab_1.ipynb

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    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/nagababumo/iiitfmmlassignments/blob/main/Module_5_Lab_1.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gjvepVoWOJU_"
      },
      "source": [
        "#Module 5 Lab 1\n",
        "\n",
        "# Support Vector Machines\n",
        "\n",
        "```\n",
        "Module Coordinator : Arohi Srivastav\n",
        "```\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Quick recap of classification :\n",
        "\n",
        "Classification is a process of categorizing a given set of data into classes, it can be performed on both structured or unstructured data. Some popular classifiers are KNN, Naive Bayes Classifier, Decision Trees, SVM, etc. In this module we will learn in detail about SVMs.\n",
        "\n"
      ],
      "metadata": {
        "id": "lr_PNc7j3rev"
      }
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KjCAglTcNeGi"
      },
      "source": [
        "#Importing the necessary packages\n",
        "from sklearn.datasets import load_iris\n",
        "from sklearn import tree\n",
        "from sklearn.model_selection import train_test_split\n",
        "\n",
        "from sklearn import svm\n",
        "\n",
        "import pandas\n",
        "import numpy as np\n",
        "from sklearn.metrics import accuracy_score, confusion_matrix, plot_confusion_matrix\n",
        "from sklearn.experimental import enable_iterative_imputer\n",
        "from sklearn.impute import IterativeImputer\n",
        "import matplotlib.pyplot as plt\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Ffq0iFPad5dq"
      },
      "source": [
        "The topic of classifier in today's lab, SVMs make for really good linear separators. Let us look at an example which has linearly separable data:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 466
        },
        "id": "6wSo9Y7DWTth",
        "outputId": "3b246750-788f-4dd2-ee84-cdf38e33ff31"
      },
      "source": [
        "np.random.seed(0)\n",
        "\n",
        "ar = np.vstack(     [\\\n",
        "                    np.random.multivariate_normal(np.array([1, 1]), 1.5 * np.array([[2, -1], [-1, 2.0]]), size = 50, ),\\\n",
        "                    np.random.multivariate_normal(np.array([3, 3]), 2 * np.array([[0.75, -0.5], [-0.5, 0.75]]), size = 50, )\n",
        "                    ]\\\n",
        "              )\n",
        "\n",
        "testAr = np.vstack(   [\\\n",
        "                      np.random.multivariate_normal(np.array([1, 1]), np.array([[0.5, -0.25], [-0.25, 0.5]]), size = 500, ),\\\n",
        "                      np.random.multivariate_normal(np.array([3, 3]), np.array([[0.75, -0.5], [-0.5, 0.75]]), size = 500, )\n",
        "                      ]\\\n",
        "                  )\n",
        "testy = np.array([0] * int((testAr.shape[0]/2)) + [1] * int((testAr.shape[0]/2)))\n",
        "\n",
        "X = ar\n",
        "y = np.array([0] * int((ar.shape[0]/2)) + [1] * int((ar.shape[0]/2)))\n",
        "\n",
        "def plotDecisionBoundary(X, y, pair, clf):\n",
        "  x_min, x_max = X[:, pair[0]].min() - 1, X[:, pair[0]].max() + 1\n",
        "  y_min, y_max = X[:, pair[1]].min() - 1, X[:, pair[1]].max() + 1\n",
        "  xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.1),\n",
        "                      np.arange(y_min, y_max, 0.1))\n",
        "  \n",
        "  y_pred = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n",
        "  y_pred = y_pred.reshape(xx.shape)\n",
        "  plt.figure(figsize=(5,4))\n",
        "  plt.contourf(xx, yy, y_pred, alpha=0.4)\n",
        "  plt.scatter(X[:, pair[0]], X[:, pair[1]], c = y, s = 50, edgecolor='k')\n",
        "  # plt.legend()\n",
        "  plt.gcf().set_dpi(130)\n",
        "  plt.show()\n",
        "\n",
        "def boundaryExp() :\n",
        "  clf = svm.LinearSVC()\n",
        "  pair = [0, 1]\n",
        "  clf.fit(X[:, pair], y)\n",
        "  plotDecisionBoundary(X, y, pair, clf)\n",
        "\n",
        "  plt.show()\n",
        "\n",
        "boundaryExp()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 650x520 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "#SVM can be of two types:\n",
        "\n",
        "Linear SVM: Linear SVM is used for linearly separable data, which means if a dataset can be classified into two classes by using a single straight line, then such data is termed as linearly separable data, and classifier is used called as Linear SVM classifier.\n",
        "\n",
        "Non-linear SVM: Non-Linear SVM is used for non-linearly separated data, which means if a dataset cannot be classified by using a straight line, then such data is termed as non-linear data and classifier used is called as Non-linear SVM classifier."
      ],
      "metadata": {
        "id": "5kobRhR8_5Jx"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# SVM: The algorithm and its objective\n",
        "\n",
        "## Hyperplane\n",
        "There can be multiple lines/decision boundaries to segregate the classes in n-dimensional space, but we need to find out the best decision boundary that helps to classify the data points. This best boundary is known as the hyperplane of SVM.\n",
        "\n",
        "## Support Vectors\n",
        "The data points or vectors that are the closest to the hyperplane and which affect the position of the hyperplane are termed as Support Vector.\n",
        "\n",
        "## How to determine the hyperplane \n",
        "We choose the hyperplane whose distance from it to the nearest data point on each side is maximized in case of linearly serparable data. If such a hyperplane exists it is known as the maximum-margin hyperplane/hard margin. "
      ],
      "metadata": {
        "id": "-QyToeM5Bzel"
      }
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xtn7FxSZqRj8"
      },
      "source": [
        "# The Kernel Trick\n",
        "\n",
        "The true potential of SVMs is unleashed when they are combined with kernels.\n",
        "\n",
        "## Kernels : An intuitive explanation\n",
        "\n",
        "Kernel methods are essentially counting on using the training data (say $i^{th}$ example $(x_i, y_i)$ ) itself in a more straightforward way and learning a corresponding weight ($w_i$) for that example. Rather than trying to learn a fixed set of parameters which is done typically.\n",
        "Depending on the kind of kernel used, we can virtually project the training data in a higher dimension to make it easier for the classifier to classify them.\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 520
        },
        "id": "rpzUIM1ppnxX",
        "outputId": "8f76b7f4-537b-4a7b-8720-e54a3b5d91a9"
      },
      "source": [
        "from sklearn.datasets import make_circles\n",
        "X, y = make_circles(200, factor=.1, noise=.1)\n",
        "\n",
        "clf = svm.SVC(kernel='linear').fit(X, y)\n",
        "\n",
        "plt.style.use(\"seaborn\")\n",
        "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='tab20')\n",
        "plt.gcf().set_dpi(110)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 880x605 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 479
        },
        "id": "_cInt5fSty3w",
        "outputId": "19817896-f0b4-443a-e64f-b1394b7328df"
      },
      "source": [
        "plt.style.use(\"default\")\n",
        "clf = svm.LinearSVC()\n",
        "pair = [0, 1]\n",
        "clf.fit(X[:, pair], y)\n",
        "plotDecisionBoundary(X, y, [0, 1], clf)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 650x520 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KJaPFAniusEA"
      },
      "source": [
        "However, if we artificially add another dimention to the dataset of the form:\n",
        "\n",
        "$z = x^2 + y^2$\n",
        "we can clearly see a hyperplane that can distinguish both the datasets:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XQamaPU8vfIz"
      },
      "source": [
        "Z = np.array([[i[0]**2 + i[1]**2] for i in X])"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zFi_pqMMvyPS"
      },
      "source": [
        "X_new = np.hstack((X, Z))"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "t59SxC5L_BDY"
      },
      "source": [
        "import plotly.graph_objects as go\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        },
        "id": "1JuoK_qjwPr_",
        "outputId": "76242aff-179d-4caa-ed7a-9284d558f4bd"
      },
      "source": [
        "fig = go.Figure(data = [go.Scatter3d(\n",
        "    x = X_new[:, 0],\n",
        "    y = X_new[:, 1],\n",
        "    z = X_new[:, 2],\n",
        "    mode = \"markers\",\n",
        "    marker = {\n",
        "        \"color\" : y,\n",
        "        \"line\": {\"width\" : 4, \"color\":'DarkSlateGrey'},\n",
        "        \"colorscale\": \"viridis\"},\n",
        ")])\n",
        "\n",
        "fig.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PdGH5BF2xuab"
      },
      "source": [
        "That simple trick has helped us to get another dimension in which the data is linearly separable by a hyperplane (in this case, a 2d plane)\n",
        "\n",
        "---\n",
        "\n",
        "Now let us use the rbf kernel and use an SVM Classifier."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 479
        },
        "id": "ybfpMPLFyIiZ",
        "outputId": "26732e54-c39f-43b9-df38-c11cf59fb9df"
      },
      "source": [
        "plt.style.use(\"default\")\n",
        "clf = svm.SVC()\n",
        "pair = [0, 1]\n",
        "clf.fit(X[:, pair], y)\n",
        "plotDecisionBoundary(X, y, [0, 1], clf)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 650x520 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FHwwqJzHyt23"
      },
      "source": [
        "Now let us get back to our original dataset of iris and see if this kernel trick has helped us:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 660
        },
        "id": "n6RS1AGtyfYs",
        "outputId": "810bae65-c79c-47e8-9bcf-43af48790bec"
      },
      "source": [
        "iris = load_iris()\n",
        "X, y = iris.data, iris.target\n",
        "\n",
        "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state = 0)\n",
        "clf = svm.SVC()\n",
        "clf.fit(X_train, y_train)\n",
        "y_pred = clf.predict(X_test)\n",
        "print(\"Accuracy of the decision tree on the test set: \\n\\n{:.3f}\\n\\n\".format(accuracy_score(y_pred, y_test)))\n",
        "class_names = iris[\"target_names\"]\n",
        "print(\"The confusion matrix is : \")\n",
        "plot_confusion_matrix(clf, X_test, y_test, display_labels=class_names)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Accuracy of the decision tree on the test set: \n",
            "\n",
            "0.974\n",
            "\n",
            "\n",
            "The confusion matrix is : \n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.8/dist-packages/sklearn/utils/deprecation.py:87: FutureWarning:\n",
            "\n",
            "Function plot_confusion_matrix is deprecated; Function `plot_confusion_matrix` is deprecated in 1.0 and will be removed in 1.2. Use one of the class methods: ConfusionMatrixDisplay.from_predictions or ConfusionMatrixDisplay.from_estimator.\n",
            "\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<sklearn.metrics._plot.confusion_matrix.ConfusionMatrixDisplay at 0x7f093059efd0>"
            ]
          },
          "metadata": {},
          "execution_count": 10
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "29evrc-jy0WO"
      },
      "source": [
        "Certainly, using a kernel has increased our accuracy on the iris dataset."
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Things to try out:\n",
        "- Try to run the same experiment after filtering different features, 2 at a time.\n",
        "- Using different kinds of kernels for the SVM among: {‘linear’, ‘poly’, ‘rbf’, ‘sigmoid’, ‘precomputed’}"
      ],
      "metadata": {
        "id": "LteLWVYtYu8m"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Solutions**\n",
        "\n",
        "\n",
        "Try to run the same experiment after filtering different features, 2 at a time."
      ],
      "metadata": {
        "id": "GpwxqIlAJjqo"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plt.style.use(\"default\")\n",
        "clf = svm.SVC()\n",
        "pair = [0, 1]\n",
        "clf.fit(X[:, pair], y)\n",
        "plotDecisionBoundary(X, y, pair, clf)\n",
        "\n",
        "plt.style.use(\"default\")\n",
        "clf = svm.SVC()\n",
        "pair = [2, 3]\n",
        "clf.fit(X[:, pair], y)\n",
        "plotDecisionBoundary(X, y, pair, clf)\n",
        "\n",
        "plt.style.use(\"default\")\n",
        "clf = svm.SVC()\n",
        "pair = [2, 3]\n",
        "clf.fit(X[:, pair], y)\n",
        "plotDecisionBoundary(X, y, pair, clf)"
      ],
      "metadata": {
        "id": "Pi1rfkjnJt3f",
        "outputId": "ad164b47-1417-4650-f6ca-a8d49f9fe77f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 650x520 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 650x520 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 650x520 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Using different kinds of kernels for the SVM among: {‘linear’, ‘poly’, ‘rbf’, ‘sigmoid’, ‘precomputed’}**"
      ],
      "metadata": {
        "id": "Yip_T5QWJ2fP"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.metrics import confusion_matrix, ConfusionMatrixDisplay"
      ],
      "metadata": {
        "id": "1-i5Bku9J46N"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "for kernel in  [\"linear\", \"poly\", \"rbf\", \"sigmoid\"]:\n",
        "  clf = svm.SVC(kernel=kernel)\n",
        "  clf.fit(X_train, y_train)\n",
        "  y_pred = clf.predict(X_test)\n",
        "  print(f\"Kernel is {kernel}\")\n",
        "  print(\"Accuracy of the decision tree on the test set: \\n\\n{:.3f}\\n\".format(accuracy_score(y_pred, y_test)))\n",
        "  class_names = iris[\"target_names\"]\n",
        "  print(\"The confusion matrix is : \")\n",
        "  cm = confusion_matrix(y_test, y_pred, labels=clf.classes_)\n",
        "  disp = ConfusionMatrixDisplay(confusion_matrix=cm, display_labels=class_names)\n",
        "  disp.plot()\n",
        "  plt.show()\n",
        "  print(\"======================================================\")"
      ],
      "metadata": {
        "id": "6b2wZtU6KAGp",
        "outputId": "3440382e-7f65-4542-9a07-b7a47f8a1610",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Kernel is linear\n",
            "Accuracy of the decision tree on the test set: \n",
            "\n",
            "0.974\n",
            "\n",
            "The confusion matrix is : \n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "======================================================\n",
            "Kernel is poly\n",
            "Accuracy of the decision tree on the test set: \n",
            "\n",
            "0.974\n",
            "\n",
            "The confusion matrix is : \n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "======================================================\n",
            "Kernel is rbf\n",
            "Accuracy of the decision tree on the test set: \n",
            "\n",
            "0.974\n",
            "\n",
            "The confusion matrix is : \n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "======================================================\n",
            "Kernel is sigmoid\n",
            "Accuracy of the decision tree on the test set: \n",
            "\n",
            "0.237\n",
            "\n",
            "The confusion matrix is : \n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "======================================================\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**All except sigmoid didn't produced good result. Sigmoid will be good in binary classification. In Precomputed, it produced error due to difference input matrix shape.**"
      ],
      "metadata": {
        "id": "eKGFzIlBKSF8"
      }
    }
  ]
}