03_Distance_Metrics_in_ML.ipynb

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  "metadata": {
    "colab": {
      "name": "03 Distance Metrics in ML.ipynb",
      "provenance": [],
      "authorship_tag": "ABX9TyOIKYef8Rk3gjr3ltV1P/EU",
      "include_colab_link": true
    },
    "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/sandipanpaul21/ML-Clustering-in-Python/blob/master/03_Distance_Metrics_in_ML.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UmICao6hMfZS"
      },
      "source": [
        "### **Distance Metrics** \n",
        "used in both supervised and unsupervised learning, **generally to calculate the similarity between data points.**\n",
        "\n",
        "**Types of Distance Metrics in Machine Learning**\n",
        "1. Euclidean Distance\n",
        "2. Manhattan Distance\n",
        "3. Minkowski Distance\n",
        "4. Hamming Distance\n",
        "\n",
        "**Few Machine learning algorithim uses Distance Metrics**\n",
        "1. Clustering Algorithim\n",
        "2. Classification - KNN Classification"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wF5fKIpsNebO"
      },
      "source": [
        "#### **1. Euclidean Distance**\n",
        "Euclidean Distance represents the **shortest distance between two points.**\n",
        "\n",
        "Most machine learning algorithms including **K-Means use this distance metric to measure the similarity between observations.**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bSGqH1KKMp34"
      },
      "source": [
        "# Importing necessary libraries \n",
        "from scipy.spatial import distance # To calculate distances\n",
        "from google.colab import files\n",
        "from IPython.display import Image\n",
        "#uploaded = files.upload() # To import image from computer/tab"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 474
        },
        "id": "9KaTXQZbOJu6",
        "outputId": "d6237fc9-239c-4d4b-a844-82bbe4312cfb"
      },
      "source": [
        "print('Euclidean Distance Theory Overview : Calculate by Pythagorous Theorem\\n')\n",
        "Image('1A876F28-65F9-4243-B0C2-E4FBC2DDB56D.jpeg', width = 500)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Euclidean Distance Theory Overview : Calculate by Pythagorous Theorem\n",
            "\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
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\n",
            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "metadata": {
            "image/jpeg": {
              "width": 500
            }
          },
          "execution_count": 23
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "6kn0KZCDP1l5",
        "outputId": "297798c5-ef74-4501-b481-8e3b06e0bfe4"
      },
      "source": [
        "# Euclidean Distance\n",
        "# defining the points\n",
        "point_1 = (1, 2, 3)\n",
        "point_2 = (4, 5, 6)\n",
        "\n",
        "print('First Data Points :',point_1)\n",
        "print('Second Data Points :', point_2)\n",
        "\n",
        "#computing the euclidean distance\n",
        "euclidean_distance = distance.euclidean(point_1, point_2)\n",
        "print('\\nEuclidean Distance b/w', point_1, 'and', point_2, 'is: ', euclidean_distance)"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "First Data Points : (1, 2, 3)\n",
            "Second Data Points : (4, 5, 6)\n",
            "\n",
            "Euclidean Distance b/w (1, 2, 3) and (4, 5, 6) is:  5.196152422706632\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ZWkrHAHUna41"
      },
      "source": [
        "#### **2. Manhattan Distance**\n",
        "##### Manhattan Distance is the sum of absolute differences between points across all the dimensions."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 400
        },
        "id": "Gooz82NHUNGD",
        "outputId": "70c1d2ec-ee0d-47cc-b33d-3a08041fe83d"
      },
      "source": [
        "print('Manhattan Distance vs Euclidean Distance')\n",
        "Image('98236A32-D4FA-4359-B42C-377B289C90BD.png', width = 400)"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Manhattan Distance vs Euclidean Distance\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "metadata": {
            "image/png": {
              "width": 400
            }
          },
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "fbQQMjfcoARI",
        "outputId": "35acc408-d758-4207-bef5-ff0263289007"
      },
      "source": [
        "# Manhattan Distance vs Euclidean Distance\n",
        "# defining the points\n",
        "point_1 = (1, 1)\n",
        "point_2 = (5, 4)\n",
        "\n",
        "print('First Data Points :',point_1)\n",
        "print('Second Data Points :', point_2)\n",
        "\n",
        "#computing the euclidean distance\n",
        "euclidean_distance = distance.euclidean(point_1, point_2)\n",
        "print('\\nEuclidean Distance b/w', point_1, 'and', point_2, 'is: ', euclidean_distance)\n",
        "\n",
        "# computing the manhattan distance\n",
        "manhattan_distance = distance.cityblock(point_1, point_2)\n",
        "print('Manhattan Distance b/w', point_1, 'and', point_2, 'is: ', manhattan_distance)"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "First Data Points : (1, 1)\n",
            "Second Data Points : (5, 4)\n",
            "\n",
            "Euclidean Distance b/w (1, 1) and (5, 4) is:  5.0\n",
            "Manhattan Distance b/w (1, 1) and (5, 4) is:  7\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9NvuapSFykzT"
      },
      "source": [
        "#### **3. Minkowski Distance**\n",
        "\n",
        "**Minkowski Distance is the generalized form of Euclidean and Manhattan Distance**\n",
        "- If Lamda = 1, then it calculates Manhatten Distance\n",
        "- If Lamda = 2, then it calculates Euclidean Distance\n",
        "\n",
        "**In scipy package, the p parameter of the Minkowski Distance metric of SciPy package** \n",
        "1. When the order(p) = 1, it will represent Manhattan Distance \n",
        "2. When the order(p) = 2, it will represent Euclidean Distance."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "RCLL3UdooVRB",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 306
        },
        "outputId": "3976e8e5-5aa4-470e-bb0e-50a8625cfcc3"
      },
      "source": [
        "print('Manhattan Distance vs Euclidean Distance\\n')\n",
        "Image('11E4B729-8426-4200-92D6-C61D3307D082.png', width = 600)"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Manhattan Distance vs Euclidean Distance\n",
            "\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "metadata": {
            "image/png": {
              "width": 600
            }
          },
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "L8bNZuTMyZeF",
        "outputId": "fbe6aef7-087b-482c-cc05-de00860f9f74"
      },
      "source": [
        "# Manhattan Distance vs Euclidean Distance\n",
        "# defining the points\n",
        "point_1 = (1, 1)\n",
        "point_2 = (5, 4)\n",
        "\n",
        "print('First Data Points :',point_1)\n",
        "print('Second Data Points :', point_2)\n",
        "\n",
        "#computing the euclidean distance\n",
        "euclidean_distance = distance.euclidean(point_1, point_2)\n",
        "print('\\nEuclidean Distance b/w', point_1, 'and', point_2, 'is: ', euclidean_distance)\n",
        "\n",
        "# computing the manhattan distance\n",
        "manhattan_distance = distance.cityblock(point_1, point_2)\n",
        "print('\\nManhattan Distance b/w', point_1, 'and', point_2, 'is: ', manhattan_distance)\n",
        "\n",
        "# computing the minkowski distance\n",
        "minkowski_distance = distance.minkowski(point_1, point_2, p=1)\n",
        "print('\\nMinkowski Distance (p=1, Manhattan) b/w', point_1, 'and', point_2, 'is: ', minkowski_distance)\n",
        "\n",
        "minkowski_distance = distance.minkowski(point_1, point_2, p=2)\n",
        "print('\\nMinkowski Distance (p=2, Euclidean) b/w', point_1, 'and', point_2, 'is: ', minkowski_distance)\n",
        "\n",
        "minkowski_distance = distance.minkowski(point_1, point_2, p=3)\n",
        "print('\\nMinkowski Distance (p=3) b/w', point_1, 'and', point_2, 'is: ', minkowski_distance)"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "First Data Points : (1, 1)\n",
            "Second Data Points : (5, 4)\n",
            "\n",
            "Euclidean Distance b/w (1, 1) and (5, 4) is:  5.0\n",
            "\n",
            "Manhattan Distance b/w (1, 1) and (5, 4) is:  7\n",
            "\n",
            "Minkowski Distance (p=1, Manhattan) b/w (1, 1) and (5, 4) is:  7.0\n",
            "\n",
            "Minkowski Distance (p=2, Euclidean) b/w (1, 1) and (5, 4) is:  5.0\n",
            "\n",
            "Minkowski Distance (p=3) b/w (1, 1) and (5, 4) is:  4.497941445275415\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "aOeTLnhw2GWO"
      },
      "source": [
        "#### **3. Hamming Distance**\n",
        "- Hamming Distance measures the **similarity between two strings of the same length** \n",
        "\n",
        "- The Hamming Distance **between two strings of the same length is the number of positions at which the corresponding characters are different.**\n",
        "\n",
        "Let’s say we have two strings:\n",
        "\n",
        "**“euclidean” and “manhattan”**\n",
        "\n",
        "- Since the length of these strings is equal, we can calculate the Hamming Distance. \n",
        "- We will go character by character and match the strings.\n",
        "- The first character of both the strings (e and m respectively) is different. Similarly, the second character of both the strings (u and a) is different. and so on.\n",
        "- **Look carefully** – seven characters are different whereas two characters (the last two characters) are similar:\n",
        "\n",
        "**“euclide--an” and “manhatt--an”**\n",
        "\n",
        "- Hence, the **Hamming Distance here will be 7.**\n",
        "- **Note that larger the Hamming Distance between two strings, more dissimilar will be those strings (and vice versa)**\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Mjg8Vhnez1fO",
        "outputId": "8ec6a00e-4c6b-4b8c-f37f-c7be88ba13b2"
      },
      "source": [
        "# Hamming Distance\n",
        "# defining two strings\n",
        "string_1 = 'euclidean'\n",
        "string_2 = 'manhattan'\n",
        "\n",
        "# computing the hamming distance\n",
        "hamming_distance = distance.hamming(list(string_1), list(string_2))*len(string_1)\n",
        "print('Hamming Distance b/w', string_1, 'and', string_2, 'is: ', hamming_distance)"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Hamming Distance b/w euclidean and manhattan is:  7.0\n"
          ]
        }
      ]
    }
  ]
}