GradientDescent.ipynb

{
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    "colab": {
      "name": "Q2b.ipynb",
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "resources": {
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              "ok": true,
              "headers": [
                [
                  "content-type",
                  "application/javascript"
                ]
              ],
              "status": 200,
              "status_text": ""
            }
          },
          "base_uri": "https://localhost:8080/",
          "height": 73
        },
        "id": "DeDOHfN2Jyun",
        "outputId": "c9a9f9eb-698a-4152-edad-97a94d642cdc"
      },
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "from numpy import random\n",
        "import matplotlib.pyplot as plt\n",
        "from google.colab import files\n",
        "uploaded=files.upload()"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "\n",
              "     <input type=\"file\" id=\"files-f4f8d405-7e14-4dd8-9086-cc2c0f759aa6\" name=\"files[]\" multiple disabled\n",
              "        style=\"border:none\" />\n",
              "     <output id=\"result-f4f8d405-7e14-4dd8-9086-cc2c0f759aa6\">\n",
              "      Upload widget is only available when the cell has been executed in the\n",
              "      current browser session. Please rerun this cell to enable.\n",
              "      </output>\n",
              "      <script src=\"/nbextensions/google.colab/files.js\"></script> "
            ],
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Saving A2Q2Data_train.csv to A2Q2Data_train.csv\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 435
        },
        "id": "SFzs5iF1L2WP",
        "outputId": "e3762904-fd01-4184-baee-b62a3ac6e654"
      },
      "source": [
        "data=pd.read_csv('A2Q2Data_train.csv',header=None)\n",
        "data"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "      <td>0.250180</td>\n",
              "      <td>0.96773</td>\n",
              "      <td>0.425400</td>\n",
              "      <td>0.047506</td>\n",
              "      <td>0.62456</td>\n",
              "      <td>0.90287</td>\n",
              "      <td>0.27634</td>\n",
              "      <td>0.33391</td>\n",
              "      <td>0.45884</td>\n",
              "      <td>0.27900</td>\n",
              "      <td>0.70096</td>\n",
              "      <td>0.719810</td>\n",
              "      <td>0.171000</td>\n",
              "      <td>0.595790</td>\n",
              "      <td>0.51706</td>\n",
              "      <td>0.20535</td>\n",
              "      <td>0.829990</td>\n",
              "      <td>0.24995</td>\n",
              "      <td>0.319800</td>\n",
              "      <td>0.19674</td>\n",
              "      <td>0.958550</td>\n",
              "      <td>0.849480</td>\n",
              "      <td>0.923690</td>\n",
              "      <td>1.9741</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>0.86622</td>\n",
              "      <td>0.451350</td>\n",
              "      <td>0.934790</td>\n",
              "      <td>0.235810</td>\n",
              "      <td>0.504880</td>\n",
              "      <td>0.49742</td>\n",
              "      <td>0.117220</td>\n",
              "      <td>0.574880</td>\n",
              "      <td>0.71051</td>\n",
              "      <td>0.336890</td>\n",
              "      <td>0.608290</td>\n",
              "      <td>0.50955</td>\n",
              "      <td>0.019038</td>\n",
              "      <td>0.150970</td>\n",
              "      <td>0.030366</td>\n",
              "      <td>0.182380</td>\n",
              "      <td>0.72407</td>\n",
              "      <td>0.30008</td>\n",
              "      <td>0.256870</td>\n",
              "      <td>0.071868</td>\n",
              "      <td>0.22583</td>\n",
              "      <td>0.971380</td>\n",
              "      <td>0.028061</td>\n",
              "      <td>0.40178</td>\n",
              "      <td>0.929690</td>\n",
              "      <td>0.712280</td>\n",
              "      <td>0.935110</td>\n",
              "      <td>0.648440</td>\n",
              "      <td>0.88639</td>\n",
              "      <td>0.42374</td>\n",
              "      <td>0.56116</td>\n",
              "      <td>0.139260</td>\n",
              "      <td>0.65031</td>\n",
              "      <td>0.059234</td>\n",
              "      <td>0.350710</td>\n",
              "      <td>0.584530</td>\n",
              "      <td>0.096762</td>\n",
              "      <td>0.46007</td>\n",
              "      <td>0.001262</td>\n",
              "      <td>0.60890</td>\n",
              "      <td>...</td>\n",
              "      <td>0.551250</td>\n",
              "      <td>0.091007</td>\n",
              "      <td>0.412010</td>\n",
              "      <td>0.695830</td>\n",
              "      <td>0.644200</td>\n",
              "      <td>0.55454</td>\n",
              "      <td>0.007456</td>\n",
              "      <td>0.799660</td>\n",
              "      <td>0.590000</td>\n",
              "      <td>0.66175</td>\n",
              "      <td>0.758380</td>\n",
              "      <td>0.546640</td>\n",
              "      <td>0.070030</td>\n",
              "      <td>0.61851</td>\n",
              "      <td>0.915370</td>\n",
              "      <td>0.860320</td>\n",
              "      <td>0.893460</td>\n",
              "      <td>0.18328</td>\n",
              "      <td>0.327400</td>\n",
              "      <td>0.135820</td>\n",
              "      <td>0.80766</td>\n",
              "      <td>0.94360</td>\n",
              "      <td>0.32582</td>\n",
              "      <td>0.60013</td>\n",
              "      <td>0.76347</td>\n",
              "      <td>0.85428</td>\n",
              "      <td>0.22287</td>\n",
              "      <td>0.018455</td>\n",
              "      <td>0.148300</td>\n",
              "      <td>0.533590</td>\n",
              "      <td>0.27412</td>\n",
              "      <td>0.46065</td>\n",
              "      <td>0.655440</td>\n",
              "      <td>0.56656</td>\n",
              "      <td>0.490620</td>\n",
              "      <td>0.19920</td>\n",
              "      <td>0.320680</td>\n",
              "      <td>0.414190</td>\n",
              "      <td>0.830230</td>\n",
              "      <td>2.3354</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>0.39142</td>\n",
              "      <td>0.919950</td>\n",
              "      <td>0.138730</td>\n",
              "      <td>0.991810</td>\n",
              "      <td>0.543670</td>\n",
              "      <td>0.98449</td>\n",
              "      <td>0.340260</td>\n",
              "      <td>0.206470</td>\n",
              "      <td>0.40131</td>\n",
              "      <td>0.128990</td>\n",
              "      <td>0.126320</td>\n",
              "      <td>0.20168</td>\n",
              "      <td>0.279930</td>\n",
              "      <td>0.217640</td>\n",
              "      <td>0.440110</td>\n",
              "      <td>0.039892</td>\n",
              "      <td>0.14486</td>\n",
              "      <td>0.87135</td>\n",
              "      <td>0.107330</td>\n",
              "      <td>0.716590</td>\n",
              "      <td>0.27636</td>\n",
              "      <td>0.503620</td>\n",
              "      <td>0.113190</td>\n",
              "      <td>0.35442</td>\n",
              "      <td>0.020319</td>\n",
              "      <td>0.955620</td>\n",
              "      <td>0.313940</td>\n",
              "      <td>0.902470</td>\n",
              "      <td>0.69735</td>\n",
              "      <td>0.13239</td>\n",
              "      <td>0.76095</td>\n",
              "      <td>0.192730</td>\n",
              "      <td>0.68994</td>\n",
              "      <td>0.998050</td>\n",
              "      <td>0.047253</td>\n",
              "      <td>0.541340</td>\n",
              "      <td>0.322640</td>\n",
              "      <td>0.10621</td>\n",
              "      <td>0.597410</td>\n",
              "      <td>0.39388</td>\n",
              "      <td>...</td>\n",
              "      <td>0.583530</td>\n",
              "      <td>0.999320</td>\n",
              "      <td>0.512070</td>\n",
              "      <td>0.459310</td>\n",
              "      <td>0.936480</td>\n",
              "      <td>0.67159</td>\n",
              "      <td>0.178450</td>\n",
              "      <td>0.886770</td>\n",
              "      <td>0.012955</td>\n",
              "      <td>0.57806</td>\n",
              "      <td>0.782930</td>\n",
              "      <td>0.245450</td>\n",
              "      <td>0.778020</td>\n",
              "      <td>0.81165</td>\n",
              "      <td>0.620520</td>\n",
              "      <td>0.763380</td>\n",
              "      <td>0.456790</td>\n",
              "      <td>0.35245</td>\n",
              "      <td>0.229590</td>\n",
              "      <td>0.624210</td>\n",
              "      <td>0.38468</td>\n",
              "      <td>0.47702</td>\n",
              "      <td>0.97065</td>\n",
              "      <td>0.91283</td>\n",
              "      <td>0.51297</td>\n",
              "      <td>0.18225</td>\n",
              "      <td>0.42164</td>\n",
              "      <td>0.256070</td>\n",
              "      <td>0.097739</td>\n",
              "      <td>0.251740</td>\n",
              "      <td>0.27247</td>\n",
              "      <td>0.38911</td>\n",
              "      <td>0.799490</td>\n",
              "      <td>0.57753</td>\n",
              "      <td>0.866820</td>\n",
              "      <td>0.69741</td>\n",
              "      <td>0.628630</td>\n",
              "      <td>0.294790</td>\n",
              "      <td>0.542800</td>\n",
              "      <td>2.2053</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>0.79553</td>\n",
              "      <td>0.278540</td>\n",
              "      <td>0.228900</td>\n",
              "      <td>0.789290</td>\n",
              "      <td>0.492220</td>\n",
              "      <td>0.67084</td>\n",
              "      <td>0.769410</td>\n",
              "      <td>0.057104</td>\n",
              "      <td>0.20393</td>\n",
              "      <td>0.086936</td>\n",
              "      <td>0.064380</td>\n",
              "      <td>0.36584</td>\n",
              "      <td>0.253150</td>\n",
              "      <td>0.202030</td>\n",
              "      <td>0.067376</td>\n",
              "      <td>0.989730</td>\n",
              "      <td>0.30646</td>\n",
              "      <td>0.85280</td>\n",
              "      <td>0.524110</td>\n",
              "      <td>0.756550</td>\n",
              "      <td>0.31831</td>\n",
              "      <td>0.369100</td>\n",
              "      <td>0.450510</td>\n",
              "      <td>0.70262</td>\n",
              "      <td>0.829200</td>\n",
              "      <td>0.641070</td>\n",
              "      <td>0.252270</td>\n",
              "      <td>0.150120</td>\n",
              "      <td>0.81109</td>\n",
              "      <td>0.41140</td>\n",
              "      <td>0.26005</td>\n",
              "      <td>0.801630</td>\n",
              "      <td>0.82562</td>\n",
              "      <td>0.875920</td>\n",
              "      <td>0.234430</td>\n",
              "      <td>0.809200</td>\n",
              "      <td>0.730400</td>\n",
              "      <td>0.98323</td>\n",
              "      <td>0.287750</td>\n",
              "      <td>0.15789</td>\n",
              "      <td>...</td>\n",
              "      <td>0.979860</td>\n",
              "      <td>0.172000</td>\n",
              "      <td>0.001713</td>\n",
              "      <td>0.868900</td>\n",
              "      <td>0.072114</td>\n",
              "      <td>0.12187</td>\n",
              "      <td>0.490940</td>\n",
              "      <td>0.511780</td>\n",
              "      <td>0.364250</td>\n",
              "      <td>0.57088</td>\n",
              "      <td>0.282110</td>\n",
              "      <td>0.891310</td>\n",
              "      <td>0.758780</td>\n",
              "      <td>0.44876</td>\n",
              "      <td>0.640140</td>\n",
              "      <td>0.036639</td>\n",
              "      <td>0.629570</td>\n",
              "      <td>0.14766</td>\n",
              "      <td>0.572110</td>\n",
              "      <td>0.904750</td>\n",
              "      <td>0.47214</td>\n",
              "      <td>0.67075</td>\n",
              "      <td>0.67243</td>\n",
              "      <td>0.61736</td>\n",
              "      <td>0.94458</td>\n",
              "      <td>0.15247</td>\n",
              "      <td>0.10996</td>\n",
              "      <td>0.214430</td>\n",
              "      <td>0.602070</td>\n",
              "      <td>0.068362</td>\n",
              "      <td>0.24901</td>\n",
              "      <td>0.65976</td>\n",
              "      <td>0.943350</td>\n",
              "      <td>0.41246</td>\n",
              "      <td>0.927150</td>\n",
              "      <td>0.11015</td>\n",
              "      <td>0.101310</td>\n",
              "      <td>0.668010</td>\n",
              "      <td>0.345730</td>\n",
              "      <td>2.0400</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>0.65223</td>\n",
              "      <td>0.966650</td>\n",
              "      <td>0.179850</td>\n",
              "      <td>0.354060</td>\n",
              "      <td>0.840420</td>\n",
              "      <td>0.92891</td>\n",
              "      <td>0.014597</td>\n",
              "      <td>0.229530</td>\n",
              "      <td>0.43920</td>\n",
              "      <td>0.548940</td>\n",
              "      <td>0.834600</td>\n",
              "      <td>0.80267</td>\n",
              "      <td>0.445370</td>\n",
              "      <td>0.897530</td>\n",
              "      <td>0.804380</td>\n",
              "      <td>0.411270</td>\n",
              "      <td>0.99720</td>\n",
              "      <td>0.63410</td>\n",
              "      <td>0.565570</td>\n",
              "      <td>0.000590</td>\n",
              "      <td>0.65231</td>\n",
              "      <td>0.153830</td>\n",
              "      <td>0.948260</td>\n",
              "      <td>0.26342</td>\n",
              "      <td>0.157820</td>\n",
              "      <td>0.448350</td>\n",
              "      <td>0.740980</td>\n",
              "      <td>0.189670</td>\n",
              "      <td>0.86908</td>\n",
              "      <td>0.66328</td>\n",
              "      <td>0.15622</td>\n",
              "      <td>0.273410</td>\n",
              "      <td>0.34162</td>\n",
              "      <td>0.863620</td>\n",
              "      <td>0.354320</td>\n",
              "      <td>0.728260</td>\n",
              "      <td>0.576550</td>\n",
              "      <td>0.57002</td>\n",
              "      <td>0.689760</td>\n",
              "      <td>0.50665</td>\n",
              "      <td>...</td>\n",
              "      <td>0.614130</td>\n",
              "      <td>0.706590</td>\n",
              "      <td>0.122480</td>\n",
              "      <td>0.030009</td>\n",
              "      <td>0.030668</td>\n",
              "      <td>0.75171</td>\n",
              "      <td>0.631270</td>\n",
              "      <td>0.056698</td>\n",
              "      <td>0.833330</td>\n",
              "      <td>0.89095</td>\n",
              "      <td>0.068736</td>\n",
              "      <td>0.701080</td>\n",
              "      <td>0.596880</td>\n",
              "      <td>0.59140</td>\n",
              "      <td>0.585850</td>\n",
              "      <td>0.458830</td>\n",
              "      <td>0.695430</td>\n",
              "      <td>0.86650</td>\n",
              "      <td>0.638890</td>\n",
              "      <td>0.445720</td>\n",
              "      <td>0.24667</td>\n",
              "      <td>0.14579</td>\n",
              "      <td>0.20710</td>\n",
              "      <td>0.64127</td>\n",
              "      <td>0.99206</td>\n",
              "      <td>0.41792</td>\n",
              "      <td>0.75349</td>\n",
              "      <td>0.440330</td>\n",
              "      <td>0.181550</td>\n",
              "      <td>0.826180</td>\n",
              "      <td>0.93277</td>\n",
              "      <td>0.23674</td>\n",
              "      <td>0.027077</td>\n",
              "      <td>0.27111</td>\n",
              "      <td>0.233660</td>\n",
              "      <td>0.56356</td>\n",
              "      <td>0.047289</td>\n",
              "      <td>0.627920</td>\n",
              "      <td>0.979300</td>\n",
              "      <td>2.2053</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9995</th>\n",
              "      <td>0.13627</td>\n",
              "      <td>0.056966</td>\n",
              "      <td>0.229530</td>\n",
              "      <td>0.343080</td>\n",
              "      <td>0.019914</td>\n",
              "      <td>0.29071</td>\n",
              "      <td>0.124340</td>\n",
              "      <td>0.523650</td>\n",
              "      <td>0.80031</td>\n",
              "      <td>0.120490</td>\n",
              "      <td>0.919810</td>\n",
              "      <td>0.55052</td>\n",
              "      <td>0.094592</td>\n",
              "      <td>0.136600</td>\n",
              "      <td>0.833550</td>\n",
              "      <td>0.083821</td>\n",
              "      <td>0.45399</td>\n",
              "      <td>0.40924</td>\n",
              "      <td>0.768480</td>\n",
              "      <td>0.426970</td>\n",
              "      <td>0.76086</td>\n",
              "      <td>0.384420</td>\n",
              "      <td>0.018513</td>\n",
              "      <td>0.39370</td>\n",
              "      <td>0.449120</td>\n",
              "      <td>0.009911</td>\n",
              "      <td>0.006775</td>\n",
              "      <td>0.467920</td>\n",
              "      <td>0.93220</td>\n",
              "      <td>0.50219</td>\n",
              "      <td>0.59358</td>\n",
              "      <td>0.377660</td>\n",
              "      <td>0.42894</td>\n",
              "      <td>0.612890</td>\n",
              "      <td>0.237180</td>\n",
              "      <td>0.131540</td>\n",
              "      <td>0.409850</td>\n",
              "      <td>0.38345</td>\n",
              "      <td>0.853080</td>\n",
              "      <td>0.77156</td>\n",
              "      <td>...</td>\n",
              "      <td>0.601490</td>\n",
              "      <td>0.212890</td>\n",
              "      <td>0.004650</td>\n",
              "      <td>0.004972</td>\n",
              "      <td>0.802460</td>\n",
              "      <td>0.25764</td>\n",
              "      <td>0.964500</td>\n",
              "      <td>0.181950</td>\n",
              "      <td>0.231940</td>\n",
              "      <td>0.85072</td>\n",
              "      <td>0.183670</td>\n",
              "      <td>0.871540</td>\n",
              "      <td>0.677830</td>\n",
              "      <td>0.43832</td>\n",
              "      <td>0.967780</td>\n",
              "      <td>0.968570</td>\n",
              "      <td>0.125840</td>\n",
              "      <td>0.51761</td>\n",
              "      <td>0.997900</td>\n",
              "      <td>0.765670</td>\n",
              "      <td>0.99280</td>\n",
              "      <td>0.16210</td>\n",
              "      <td>0.64307</td>\n",
              "      <td>0.42456</td>\n",
              "      <td>0.89394</td>\n",
              "      <td>0.14626</td>\n",
              "      <td>0.50792</td>\n",
              "      <td>0.044008</td>\n",
              "      <td>0.195680</td>\n",
              "      <td>0.503800</td>\n",
              "      <td>0.23140</td>\n",
              "      <td>0.75825</td>\n",
              "      <td>0.418120</td>\n",
              "      <td>0.33551</td>\n",
              "      <td>0.361130</td>\n",
              "      <td>0.12088</td>\n",
              "      <td>0.050074</td>\n",
              "      <td>0.335240</td>\n",
              "      <td>0.040619</td>\n",
              "      <td>3.0543</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9996</th>\n",
              "      <td>0.95662</td>\n",
              "      <td>0.141930</td>\n",
              "      <td>0.978510</td>\n",
              "      <td>0.782700</td>\n",
              "      <td>0.198780</td>\n",
              "      <td>0.29844</td>\n",
              "      <td>0.331600</td>\n",
              "      <td>0.302100</td>\n",
              "      <td>0.68403</td>\n",
              "      <td>0.827360</td>\n",
              "      <td>0.442310</td>\n",
              "      <td>0.81193</td>\n",
              "      <td>0.118230</td>\n",
              "      <td>0.377270</td>\n",
              "      <td>0.350250</td>\n",
              "      <td>0.860170</td>\n",
              "      <td>0.37481</td>\n",
              "      <td>0.85513</td>\n",
              "      <td>0.054826</td>\n",
              "      <td>0.798760</td>\n",
              "      <td>0.25155</td>\n",
              "      <td>0.902890</td>\n",
              "      <td>0.953730</td>\n",
              "      <td>0.37675</td>\n",
              "      <td>0.828430</td>\n",
              "      <td>0.698230</td>\n",
              "      <td>0.586900</td>\n",
              "      <td>0.308460</td>\n",
              "      <td>0.98411</td>\n",
              "      <td>0.59844</td>\n",
              "      <td>0.23609</td>\n",
              "      <td>0.715870</td>\n",
              "      <td>0.46849</td>\n",
              "      <td>0.289140</td>\n",
              "      <td>0.996320</td>\n",
              "      <td>0.998280</td>\n",
              "      <td>0.639790</td>\n",
              "      <td>0.17242</td>\n",
              "      <td>0.717140</td>\n",
              "      <td>0.35409</td>\n",
              "      <td>...</td>\n",
              "      <td>0.057315</td>\n",
              "      <td>0.408580</td>\n",
              "      <td>0.369540</td>\n",
              "      <td>0.047269</td>\n",
              "      <td>0.101570</td>\n",
              "      <td>0.69784</td>\n",
              "      <td>0.706470</td>\n",
              "      <td>0.596470</td>\n",
              "      <td>0.695280</td>\n",
              "      <td>0.89112</td>\n",
              "      <td>0.741640</td>\n",
              "      <td>0.096792</td>\n",
              "      <td>0.056391</td>\n",
              "      <td>0.82075</td>\n",
              "      <td>0.009204</td>\n",
              "      <td>0.053390</td>\n",
              "      <td>0.988780</td>\n",
              "      <td>0.92262</td>\n",
              "      <td>0.358020</td>\n",
              "      <td>0.457210</td>\n",
              "      <td>0.98353</td>\n",
              "      <td>0.40739</td>\n",
              "      <td>0.64656</td>\n",
              "      <td>0.49508</td>\n",
              "      <td>0.60658</td>\n",
              "      <td>0.11022</td>\n",
              "      <td>0.22678</td>\n",
              "      <td>0.302910</td>\n",
              "      <td>0.310430</td>\n",
              "      <td>0.528470</td>\n",
              "      <td>0.47084</td>\n",
              "      <td>0.71044</td>\n",
              "      <td>0.323540</td>\n",
              "      <td>0.65593</td>\n",
              "      <td>0.043369</td>\n",
              "      <td>0.69314</td>\n",
              "      <td>0.672490</td>\n",
              "      <td>0.573740</td>\n",
              "      <td>0.110510</td>\n",
              "      <td>2.3255</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9997</th>\n",
              "      <td>0.89209</td>\n",
              "      <td>0.997530</td>\n",
              "      <td>0.880430</td>\n",
              "      <td>0.813160</td>\n",
              "      <td>0.294460</td>\n",
              "      <td>0.40088</td>\n",
              "      <td>0.198950</td>\n",
              "      <td>0.402530</td>\n",
              "      <td>0.98442</td>\n",
              "      <td>0.746290</td>\n",
              "      <td>0.592020</td>\n",
              "      <td>0.82431</td>\n",
              "      <td>0.112150</td>\n",
              "      <td>0.066876</td>\n",
              "      <td>0.612770</td>\n",
              "      <td>0.745910</td>\n",
              "      <td>0.93239</td>\n",
              "      <td>0.49705</td>\n",
              "      <td>0.377260</td>\n",
              "      <td>0.830410</td>\n",
              "      <td>0.40691</td>\n",
              "      <td>0.675970</td>\n",
              "      <td>0.214690</td>\n",
              "      <td>0.53494</td>\n",
              "      <td>0.552890</td>\n",
              "      <td>0.464460</td>\n",
              "      <td>0.944960</td>\n",
              "      <td>0.356180</td>\n",
              "      <td>0.80578</td>\n",
              "      <td>0.08364</td>\n",
              "      <td>0.79463</td>\n",
              "      <td>0.526860</td>\n",
              "      <td>0.12911</td>\n",
              "      <td>0.269210</td>\n",
              "      <td>0.421650</td>\n",
              "      <td>0.867550</td>\n",
              "      <td>0.511020</td>\n",
              "      <td>0.18014</td>\n",
              "      <td>0.143220</td>\n",
              "      <td>0.74753</td>\n",
              "      <td>...</td>\n",
              "      <td>0.413410</td>\n",
              "      <td>0.498670</td>\n",
              "      <td>0.659420</td>\n",
              "      <td>0.799810</td>\n",
              "      <td>0.018457</td>\n",
              "      <td>0.80476</td>\n",
              "      <td>0.684770</td>\n",
              "      <td>0.753840</td>\n",
              "      <td>0.561020</td>\n",
              "      <td>0.45456</td>\n",
              "      <td>0.412120</td>\n",
              "      <td>0.862630</td>\n",
              "      <td>0.304430</td>\n",
              "      <td>0.93639</td>\n",
              "      <td>0.588860</td>\n",
              "      <td>0.189680</td>\n",
              "      <td>0.723100</td>\n",
              "      <td>0.28002</td>\n",
              "      <td>0.525820</td>\n",
              "      <td>0.674060</td>\n",
              "      <td>0.95525</td>\n",
              "      <td>0.48710</td>\n",
              "      <td>0.26623</td>\n",
              "      <td>0.51585</td>\n",
              "      <td>0.69120</td>\n",
              "      <td>0.29495</td>\n",
              "      <td>0.71202</td>\n",
              "      <td>0.645910</td>\n",
              "      <td>0.174860</td>\n",
              "      <td>0.011233</td>\n",
              "      <td>0.64760</td>\n",
              "      <td>0.86836</td>\n",
              "      <td>0.227950</td>\n",
              "      <td>0.92668</td>\n",
              "      <td>0.735700</td>\n",
              "      <td>0.77533</td>\n",
              "      <td>0.827720</td>\n",
              "      <td>0.331150</td>\n",
              "      <td>0.928750</td>\n",
              "      <td>2.0964</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9998</th>\n",
              "      <td>0.70381</td>\n",
              "      <td>0.422940</td>\n",
              "      <td>0.259230</td>\n",
              "      <td>0.230480</td>\n",
              "      <td>0.710920</td>\n",
              "      <td>0.27516</td>\n",
              "      <td>0.843470</td>\n",
              "      <td>0.338950</td>\n",
              "      <td>0.22252</td>\n",
              "      <td>0.586820</td>\n",
              "      <td>0.792810</td>\n",
              "      <td>0.49821</td>\n",
              "      <td>0.685860</td>\n",
              "      <td>0.548070</td>\n",
              "      <td>0.207830</td>\n",
              "      <td>0.069656</td>\n",
              "      <td>0.39519</td>\n",
              "      <td>0.30295</td>\n",
              "      <td>0.042202</td>\n",
              "      <td>0.035398</td>\n",
              "      <td>0.52103</td>\n",
              "      <td>0.036457</td>\n",
              "      <td>0.175130</td>\n",
              "      <td>0.33350</td>\n",
              "      <td>0.025961</td>\n",
              "      <td>0.512030</td>\n",
              "      <td>0.437560</td>\n",
              "      <td>0.198500</td>\n",
              "      <td>0.94114</td>\n",
              "      <td>0.45368</td>\n",
              "      <td>0.26828</td>\n",
              "      <td>0.565080</td>\n",
              "      <td>0.26483</td>\n",
              "      <td>0.989660</td>\n",
              "      <td>0.616760</td>\n",
              "      <td>0.017108</td>\n",
              "      <td>0.822530</td>\n",
              "      <td>0.15263</td>\n",
              "      <td>0.712480</td>\n",
              "      <td>0.87876</td>\n",
              "      <td>...</td>\n",
              "      <td>0.753310</td>\n",
              "      <td>0.339410</td>\n",
              "      <td>0.719550</td>\n",
              "      <td>0.147970</td>\n",
              "      <td>0.335700</td>\n",
              "      <td>0.33461</td>\n",
              "      <td>0.889570</td>\n",
              "      <td>0.267290</td>\n",
              "      <td>0.302410</td>\n",
              "      <td>0.88604</td>\n",
              "      <td>0.578370</td>\n",
              "      <td>0.688950</td>\n",
              "      <td>0.458720</td>\n",
              "      <td>0.65759</td>\n",
              "      <td>0.388910</td>\n",
              "      <td>0.765230</td>\n",
              "      <td>0.035984</td>\n",
              "      <td>0.34131</td>\n",
              "      <td>0.096688</td>\n",
              "      <td>0.216870</td>\n",
              "      <td>0.99170</td>\n",
              "      <td>0.65281</td>\n",
              "      <td>0.62536</td>\n",
              "      <td>0.39115</td>\n",
              "      <td>0.32478</td>\n",
              "      <td>0.88893</td>\n",
              "      <td>0.14474</td>\n",
              "      <td>0.576920</td>\n",
              "      <td>0.827370</td>\n",
              "      <td>0.921400</td>\n",
              "      <td>0.76356</td>\n",
              "      <td>0.00795</td>\n",
              "      <td>0.569030</td>\n",
              "      <td>0.93311</td>\n",
              "      <td>0.501910</td>\n",
              "      <td>0.36688</td>\n",
              "      <td>0.822460</td>\n",
              "      <td>0.498100</td>\n",
              "      <td>0.060471</td>\n",
              "      <td>1.8405</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9999</th>\n",
              "      <td>0.36578</td>\n",
              "      <td>0.028173</td>\n",
              "      <td>0.021793</td>\n",
              "      <td>0.593970</td>\n",
              "      <td>0.521400</td>\n",
              "      <td>0.47722</td>\n",
              "      <td>0.838550</td>\n",
              "      <td>0.267560</td>\n",
              "      <td>0.72664</td>\n",
              "      <td>0.302990</td>\n",
              "      <td>0.780710</td>\n",
              "      <td>0.99199</td>\n",
              "      <td>0.599960</td>\n",
              "      <td>0.716750</td>\n",
              "      <td>0.302040</td>\n",
              "      <td>0.476560</td>\n",
              "      <td>0.89491</td>\n",
              "      <td>0.67538</td>\n",
              "      <td>0.847070</td>\n",
              "      <td>0.240610</td>\n",
              "      <td>0.54073</td>\n",
              "      <td>0.503530</td>\n",
              "      <td>0.369590</td>\n",
              "      <td>0.34481</td>\n",
              "      <td>0.717550</td>\n",
              "      <td>0.229080</td>\n",
              "      <td>0.396580</td>\n",
              "      <td>0.769830</td>\n",
              "      <td>0.33769</td>\n",
              "      <td>0.69939</td>\n",
              "      <td>0.40768</td>\n",
              "      <td>0.386260</td>\n",
              "      <td>0.34583</td>\n",
              "      <td>0.906780</td>\n",
              "      <td>0.344160</td>\n",
              "      <td>0.151890</td>\n",
              "      <td>0.019284</td>\n",
              "      <td>0.30456</td>\n",
              "      <td>0.560980</td>\n",
              "      <td>0.49291</td>\n",
              "      <td>...</td>\n",
              "      <td>0.250020</td>\n",
              "      <td>0.096716</td>\n",
              "      <td>0.442570</td>\n",
              "      <td>0.082958</td>\n",
              "      <td>0.535140</td>\n",
              "      <td>0.73416</td>\n",
              "      <td>0.168720</td>\n",
              "      <td>0.461840</td>\n",
              "      <td>0.030693</td>\n",
              "      <td>0.69143</td>\n",
              "      <td>0.118030</td>\n",
              "      <td>0.650910</td>\n",
              "      <td>0.913670</td>\n",
              "      <td>0.58688</td>\n",
              "      <td>0.948100</td>\n",
              "      <td>0.332520</td>\n",
              "      <td>0.196040</td>\n",
              "      <td>0.38836</td>\n",
              "      <td>0.726260</td>\n",
              "      <td>0.256920</td>\n",
              "      <td>0.77191</td>\n",
              "      <td>0.87935</td>\n",
              "      <td>0.61604</td>\n",
              "      <td>0.94840</td>\n",
              "      <td>0.82958</td>\n",
              "      <td>0.34024</td>\n",
              "      <td>0.35860</td>\n",
              "      <td>0.735220</td>\n",
              "      <td>0.854490</td>\n",
              "      <td>0.622830</td>\n",
              "      <td>0.71442</td>\n",
              "      <td>0.21390</td>\n",
              "      <td>0.944010</td>\n",
              "      <td>0.60999</td>\n",
              "      <td>0.389610</td>\n",
              "      <td>0.92101</td>\n",
              "      <td>0.872690</td>\n",
              "      <td>0.015329</td>\n",
              "      <td>0.990260</td>\n",
              "      <td>2.7624</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>10000 rows × 101 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "          0         1         2    ...       98        99      100\n",
              "0     0.58351  0.379390  0.839750  ...  0.849480  0.923690  1.9741\n",
              "1     0.86622  0.451350  0.934790  ...  0.414190  0.830230  2.3354\n",
              "2     0.39142  0.919950  0.138730  ...  0.294790  0.542800  2.2053\n",
              "3     0.79553  0.278540  0.228900  ...  0.668010  0.345730  2.0400\n",
              "4     0.65223  0.966650  0.179850  ...  0.627920  0.979300  2.2053\n",
              "...       ...       ...       ...  ...       ...       ...     ...\n",
              "9995  0.13627  0.056966  0.229530  ...  0.335240  0.040619  3.0543\n",
              "9996  0.95662  0.141930  0.978510  ...  0.573740  0.110510  2.3255\n",
              "9997  0.89209  0.997530  0.880430  ...  0.331150  0.928750  2.0964\n",
              "9998  0.70381  0.422940  0.259230  ...  0.498100  0.060471  1.8405\n",
              "9999  0.36578  0.028173  0.021793  ...  0.015329  0.990260  2.7624\n",
              "\n",
              "[10000 rows x 101 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "resources": {
            "http://localhost:8080/nbextensions/google.colab/files.js": {
              "data": "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",
              "ok": true,
              "headers": [
                [
                  "content-type",
                  "application/javascript"
                ]
              ],
              "status": 200,
              "status_text": ""
            }
          },
          "base_uri": "https://localhost:8080/",
          "height": 73
        },
        "id": "NtUSXU34L4tA",
        "outputId": "da8a35dd-1a10-4be4-b7dd-13aedcefce7b"
      },
      "source": [
        "uploaded=files.upload()"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "\n",
              "     <input type=\"file\" id=\"files-6e8ebab2-8a43-431c-bd1f-3d3522013129\" name=\"files[]\" multiple disabled\n",
              "        style=\"border:none\" />\n",
              "     <output id=\"result-6e8ebab2-8a43-431c-bd1f-3d3522013129\">\n",
              "      Upload widget is only available when the cell has been executed in the\n",
              "      current browser session. Please rerun this cell to enable.\n",
              "      </output>\n",
              "      <script src=\"/nbextensions/google.colab/files.js\"></script> "
            ],
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Saving A2Q2Data_test.csv to A2Q2Data_test.csv\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "KQk6MyZVL_YL",
        "outputId": "138dbe22-900e-4057-cdea-041ddd060181"
      },
      "source": [
        "df=data.values.tolist()\n",
        "Z=np.array(df)\n",
        "y=Z[:,-1]\n",
        "X=np.delete(Z, -1, axis=1)\n",
        "n,d=np.shape(X)\n",
        "print (n,d)"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "10000 100\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Mx128-WCMcoD"
      },
      "source": [
        "Wml=np.matmul(np.matmul(np.linalg.inv(np.matmul(X.T,X)),X.T),y)"
      ],
      "execution_count": 81,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "b9B7JS0UMEwb"
      },
      "source": [
        "W=np.random.random(100)\n",
        "result=[]"
      ],
      "execution_count": 86,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "-3ovUa1FM8V5"
      },
      "source": [
        "for t in range(1,1000):\n",
        "  step=1e-8\n",
        "  a1=np.matmul(X.T,X)\n",
        "  a2=np.matmul(a1,W)\n",
        "  a3=np.matmul(X.T,y)\n",
        "  grad=np.subtract(a2,a3)\n",
        "  W=np.subtract(W,(grad*step))\n",
        "  diff=0\n",
        "  for i in range(d):\n",
        "    diff+=pow((W[i]-Wml[i]),2)\n",
        "  result.append(np.sqrt(diff))"
      ],
      "execution_count": 87,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 313
        },
        "id": "Z8WKDCyhQxVv",
        "outputId": "6c691d1f-bc50-4a1a-95a0-108e681274a9"
      },
      "source": [
        "plt.title('Distance from Wml Gradient Descent')\n",
        "plt.xlabel('Iterations')\n",
        "plt.ylabel('||Wt-Wml||2')\n",
        "plt.plot(result)"
      ],
      "execution_count": 89,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f304cd202e8>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 89
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}